Researcher Profile and Settings

Master

Affiliation (Master)

• Research Institute for Electronic Science　Research Center of Mathematics for Social Creativity

Affiliation (Master)

• Research Institute for Electronic Science　Research Center of Mathematics for Social Creativity

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Profile and Settings

Profile and Settings

• Name (Japanese)

  Nagayama

• Name (Kana)

  Masaharu

• Name

  200901037386982324

Alternate Names

http://www-mmc.es.hokudai.ac.jp

Achievement

Research Interests

• Reaction Diffusion   Numerical simulation   Mathematical modeling   

Research Areas

• Natural sciences / Applied mathematics and statistics
• Natural sciences / Basic mathematics

Research Experience

• 2009/04 - 2012/03 Kanazawa University
• 2004/04 - 2009/03 Kanazawa University
• 1999/02 - 2004/03 京都大学 助手
• 1999 - 2004 Kyoto University

Education

•        - 1998  The University of Tokyo
•        - 1998  The University of Tokyo  Graduate School, Division of Mathematical Sciences
•        - 1994  Hiroshima University
•        - 1994  Hiroshima University  Graduate School, Division of Natural Science
•        - 1992  The University of Tokushima  Faculty of Integrated Arts and Sciences
•        - 1992  The University of Tokushima  Faculty of Integrated Arts snd Sciences

Published Papers

• Spatial confinement induces reciprocating migration of epidermal keratinocytes and forms triphasic epithelia

  Takuma Nohara, Junichi Kumamoto, Yosuke Mai, Mayuna Shimano, Sora Kato, Hiroyuki Kitahata, Hideki Nakamura, Shota Takashima, Mika Watanabe, Masaharu Nagayama, Tsukasa Oikawa, Hideyuki Ujiie, Ken Natsuga

  2024/11/13 

  Epithelial cells undergo epithelial–mesenchymal transition (EMT) during migration and regain their epithelial phenotype in the post-migration phase (mesenchymal–epithelial transition; MET). We established an experimental system that reproduced three-dimensional triphasic epithelia, i.e., the original epithelium, its EMT, and MET. Keratinocytes (KCs), skin epithelial cells, placed on a microporous membrane migrated through 3.0-um or larger micropores. The 3.0-um-pored membrane induced an epithelial structure with three states: stratified KCs above the membrane, KCs showing EMT within the micropores, and a new stratified epithelium under the membrane. The membrane with larger micropores failed to maintain the triphasic epithelia. Live imaging revealed that KCs moved in a reciprocating manner, with actin-rich filopodia-like KC structures extending into and out of the 3.0-um micropores, while the cells migrated unidirectionally into larger micropores. Piezo1 and keratin 6 were identified as negative modulators of KC entry to and exit from the 3.0-um micropores. These results demonstrate that non-cancerous epithelial cells migrate through confined spaces in a reciprocating manner, which might help form triphasic epithelia, recapitulating wound healing processes.
• Patterning in stratified epithelia depends on cell-cell adhesion.

  Yosuke Mai, Yasuaki Kobayashi, Hiroyuki Kitahata, Takashi Seo, Takuma Nohara, Sota Itamoto, Shoko Mai, Junichi Kumamoto, Masaharu Nagayama, Wataru Nishie, Hideyuki Ujiie, Ken Natsuga

  Life science alliance 7 (9) 2024/09 

  Epithelia consist of proliferating and differentiating cells that often display patterned arrangements. However, the mechanism regulating these spatial arrangements remains unclear. Here, we show that cell-cell adhesion dictates multicellular patterning in stratified epithelia. When cultured keratinocytes, a type of epithelial cell in the skin, are subjected to starvation, they spontaneously develop a pattern characterized by areas of high and low cell density. Pharmacological and knockout experiments show that adherens junctions are essential for patterning, whereas the mathematical model that only considers local cell-cell adhesion as a source of attractive interactions can form regions with high/low cell density. This phenomenon, called cell-cell adhesion-induced patterning (CAIP), influences cell differentiation and proliferation through Yes-associated protein modulation. Starvation, which induces CAIP, enhances the stratification of the epithelia. These findings highlight the intrinsic self-organizing property of epithelial cells.
• Phospholipid Molecular Layer that Enhances Distinction of Odors Based on Artificial Sniffing

  Mai Yotsumoto, Muneyuki Matsuo, Hiroyuki Kitahata, Shinobu Nakanishi, Mitsuhiro Denda, Masaharu Nagayama, Satoshi Nakata

  ACS Sensors 2379-3694 2023/12/07
• On the reaction–diffusion type modelling of the self-propelled object motion

  Masaharu Nagayama, Harunori Monobe, Koya Sakakibara, Ken-Ichi Nakamura, Yasuaki Kobayashi, Hiroyuki Kitahata

  Scientific Reports 13 (1) 2023/08/03 

  Abstract In this study, we propose a mathematical model of self-propelled objects based on the Allen–Cahn type phase-field equation. We combine it with the equation for the concentration of surfactant used in previous studies to construct a model that can handle self-propelled object motion with shape change. A distinctive feature of our mathematical model is that it can represent both deformable self-propelled objects, such as droplets, and solid objects, such as camphor disks, by controlling a single parameter. Furthermore, we demonstrate that, by taking the singular limit, this phase-field based model can be reduced to a free boundary model, which is equivalent to the $$L^2$$-gradient flow model of self-propelled objects derived by the variational principle from the interfacial energy, which gives a physical interpretation to the phase-field model.
• Zonula occludens‐1 distribution and barrier functions are affected by epithelial proliferation and turnover rates

  Keisuke Imafuku, Hiroaki Iwata, Ken Natsuga, Makoto Okumura, Yasuaki Kobayashi, Hiroyuki Kitahata, Akiharu Kubo, Masaharu Nagayama, Hideyuki Ujiie

  Cell Proliferation 0960-7722 2023/03/14
• Erratum: Oscillation and Synchronization in the Combustion of Candles (J. Phys. Chem. A (2009) 113:29 (8164-8168) DOI: 10.1021/jp901487e)

  Hiroyuki Kitahata, Junji Taguchi, Masaharu Nagayama, Tatsunari Sakurai, Yumihiko Ikura, Atsushi Osa, Yutaka Sumino, Masanobu Tanaka, Etsuro Yokoyama, Hidetoshi Miike

  Journal of Physical Chemistry A 126 (41) 7557  1089-5639 2022/10/20 

  I n our original manuscript, the parameter values were incorrectly described in the caption of Figure 5. The parameters should be “au/a = 1 and av/a = 0.1” instead of “αu/α = αv/α = 0.1”. In addition, “au = av = 3.7” was incorrect, and it should be “au = 37 and av = 3.7”. The errors are typographical, and thus, these corrections do not affect the conclusions of this work.
• On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks

  Yusuke Yasugahira, Masaharu Nagayama

  Japan Journal of Industrial and Applied Mathematics 39 (2) 631 - 652 0916-7005 2022/05 [Refereed]
   

  Abstract Theoretical analysis using mathematical models is often used to understand a mechanism of collective motion in a self-propelled system. In the experimental system using camphor disks, several kinds of characteristic motions have been observed due to the interaction of two camphor disks. In this paper, we understand the emergence mechanism of the motions caused by the interaction of two self-propelled bodies by analyzing the global bifurcation structure using the numerical bifurcation method for a mathematical model. Finally, it is also shown that the irregular motion, which is one of the characteristic motions, is chaotic motion and that it arises from periodic bifurcation phenomena and quasi-periodic motions due to torus bifurcation.
• Collagen XVII deficiency alters epidermal patterning

  Yunan Wang, Hiroyuki Kitahata, Hideyuki Kosumi, Mika Watanabe, Yu Fujimura, Shota Takashima, Shin-Ichi Osada, Tomonori Hirose, Wataru Nishie, Masaharu Nagayama, Hiroshi Shimizu, Ken Natsuga

  Laboratory Investigation 102 (6) 581 - 588 0023-6837 2022/02 [Refereed]
   

  Vertebrates exhibit patterned epidermis, exemplified by scales/interscales in mice tails and grooves/ridges on the human skin surface (microtopography). Although the role of spatiotemporal regulation of stem cells (SCs) has been implicated in this process, the mechanism underlying the development of such epidermal patterns is poorly understood. Here, we show that collagen XVII (COL17), a niche for epidermal SCs, helps stabilize epidermal patterns. Gene knockout and rescue experiments revealed that COL17 maintains the width of the murine tail scale epidermis independently of epidermal cell polarity. Skin regeneration after wounding was associated with slender scale epidermis, which was alleviated by overexpression of human COL17. COL17-negative skin in human junctional epidermolysis bullosa showed a distinct epidermal pattern from COL17-positive skin that resulted from revertant mosaicism. These results demonstrate that COL17 contributes to defining mouse tail scale shapes and human skin microtopography. Our study sheds light on the role of the SC niche in tissue pattern formation.Mammals exhibit epidermal patterning, as seen in mouse tail scales and human skin microtopography. In this article, the authors demonstrate that type XVII collagen (COL17), a niche for epidermal stem cells, modulate epidermal patterning in mice and humans. COL17 further prevents wound-induced epidermal deformation. This study paves the way for elucidating the role of the stem cell niche in tissue pattern formation.
• A computational model of the epidermis with the deformable dermis and its application to skin diseases

  Kota Ohno, Yasuaki Kobayashi, Masaaki Uesaka, Takeshi Gotoda, Mitsuhiro Denda, Hideyuki Kosumi, Mika Watanabe, Ken Natsuga, Masaharu Nagayama

  Scientific Reports 11 (1) 2021/12 [Refereed]
   

  The skin barrier is provided by the organized multi-layer structure of epidermal cells, which is dynamically maintained by a continuous supply of cells from the basal layer. The epidermal homeostasis can be disrupted by various skin diseases, which often cause morphological changes not only in the epidermis but in the dermis. We present a three-dimensional agent-based computational model of the epidermis that takes into account the deformability of the dermis. Our model can produce a stable epidermal structure with well-organized layers. We show that its stability depends on the cell supply rate from the basal layer. Modeling the morphological change of the dermis also enables us to investigate how the stiffness of the dermis affects the structure and barrier functions of the epidermis. Besides, we show that our model can simulate the formation of a corn (clavus) by assuming hyperproliferation and rapid differentiation. We also provide experimental data for human corn, which supports the model assumptions and the simulation result.
• Temporal coherency of mechanical stimuli modulates tactile form perception

  Masashi Nakatani, Yasuaki Kobayashi, Kota Ohno, Masaaki Uesaka, Sayako Mogami, Zixia Zhao, Takamichi Sushida, Hiroyuki Kitahata, Masaharu Nagayama

  Scientific Reports 11 (1) 11737 - 11737 2021/12 [Refereed]
   

  The human hand can detect both form and texture information of a contact surface. The detection of skin displacement (sustained stimulus) and changes in skin displacement (transient stimulus) are thought to be mediated in different tactile channels; however, tactile form perception may use both types of information. Here, we studied whether both the temporal frequency and the temporal coherency information of tactile stimuli encoded in sensory neurons could be used to recognize the form of contact surfaces. We used the fishbone tactile illusion (FTI), a known tactile phenomenon, as a probe for tactile form perception in humans. This illusion typically occurs with a surface geometry that has a smooth bar and coarse textures in its adjacent areas. When stroking the central bar back and forth with a fingertip, a human observer perceives a hollow surface geometry even though the bar is physically flat. We used a passive high-density pin matrix to extract only the vertical information of the contact surface, suppressing tangential displacement from surface rubbing. Participants in the psychological experiment reported indented surface geometry by tracing over the FTI textures with pin matrices of the different spatial densities (1.0 and 2.0 mm pin intervals). Human participants reported that the relative magnitude of perceived surface indentation steeply decreased when pins in the adjacent areas vibrated in synchrony. To address possible mechanisms for tactile form perception in the FTI, we developed a computational model of sensory neurons to estimate temporal patterns of action potentials from tactile receptive fields. Our computational data suggest that (1) the temporal asynchrony of sensory neuron responses is correlated with the relative magnitude of perceived surface indentation and (2) the spatiotemporal change of displacements in tactile stimuli are correlated with the asynchrony of simulated sensory neuron responses for the fishbone surface patterns. Based on these results, we propose that both the frequency and the asynchrony of temporal activity in sensory neurons could produce tactile form perception.
• Catch and Release Chemotaxis

  Yusuke Yasugahira, Yuki Tatsumi, Osamu Yamanaka, Hiraku Nishimori, Masaharu Nagayama, Satoshi Nakata

  ChemSystemsChem 4 (2) 2570-4206 2021/11 [Refereed]
  
• A reaction–diffusion particle model for clustering of self-propelled oil droplets on a surfactant solution

  Minsoo Kim, Mamoru Okamoto, Yusuke Yasugahira, Shinpei Tanaka, Satoshi Nakata, Yasuaki Kobayashi, Masaharu Nagayama

  Physica D: Nonlinear Phenomena 425 132949 - 132949 0167-2789 2021/11 [Refereed]
   

  We experimentally and numerically investigate collective behaviors of oil droplets floating on a surfactant solution in a narrow circular channel. A closed environment where a glass cover is placed on the channel shown that ethyl salicylate droplets on the surface of sodium dodecyl sulfate solution exhibit transient oscillatory dynamics, leading to the formation of a single cluster via the merging of sub-clusters. When the glass cover is removed, oscillatory behavior resumes, and the cluster breaks up. To understand these experimental findings, we introduce a mathematical model that combines equations of motion for droplets with a reaction–diffusion system, where droplet dynamics and the chemical reactions are considered on the one-dimensional surface, and the diffusion of chemicals in the air phase and the water phase is treated in the two-dimensional region. Our model successfully reproduces transient oscillations and the characteristics of cluster formation, and the effect of the glass cover. We argue that the attractive long-range interaction due to the global concentration profile of the solution suffices for the cluster formation.
• 表皮下水疱は毛包の成長を犠牲にして治癒する

  藤村 悠, 高島 翔太, 中村 秀樹, 小住 英之, 王 禹楠, 眞井 洋輔, 氏家 英之, 岩田 浩明, 西江 渉, 清水 宏, 夏賀 健, 渡邉 美佳, 大野 航太, 小林 康明, 長山 雅晴, Andrea Lauria, Valentina Proserpio, Salvatore Oliviero, Giacomo Donati

  日本皮膚科学会雑誌 (公社)日本皮膚科学会 131 (9) 2071 - 2071 0021-499X 2021/08
• Corrigendum to “Interaction of non-radially symmetric camphor particles” [Physica D 366 (2018) 10–26] (Physica D: Nonlinear Phenomena (2018) 366 (10–26), (S0167278917303603), (10.1016/j.physd.2017.11.004))

  Shin Ichiro Ei, Hiroyuki Kitahata, Yuki Koyano, Masaharu Nagayama

  Physica D: Nonlinear Phenomena 422 0167-2789 2021/08 [Refereed]
   

  The authors regret that the experimental condition was wrongly described in Section 4 in page 20 and the caption of Fig. 5 in page 21. The concentration of camphor methanol solution was 3 mol/L, not 0.3 mol/L. The authors would like to apologise for any inconvenience caused.
• Hair follicle stem cell progeny heal blisters while pausing skin development

  Yu Fujimura, Mika Watanabe, Kota Ohno, Yasuaki Kobayashi, Shota Takashima, Hideki Nakamura, Hideyuki Kosumi, Yunan Wang, Yosuke Mai, Andrea Lauria, Valentina Proserpio, Hideyuki Ujiie, Hiroaki Iwata, Wataru Nishie, Masaharu Nagayama, Salvatore Oliviero, Giacomo Donati, Hiroshi Shimizu, Ken Natsuga

  EMBO reports 22 (7) e50882  1469-221X 2021/07/05 [Refereed]
   

  Injury in adult tissue generally reactivates developmental programs to foster regeneration, but it is not known whether this paradigm applies to growing tissue. Here, by employing blisters, we show that epidermal wounds heal at the expense of skin development. The regenerated epidermis suppresses the expression of tissue morphogenesis genes accompanied by delayed hair follicle (HF) growth. Lineage tracing experiments, cell proliferation dynamics, and mathematical modeling reveal that the progeny of HF junctional zone stem cells, which undergo a morphological transformation, repair the blisters while not promoting HF development. In contrast, the contribution of interfollicular stem cell progeny to blister healing is small. These findings demonstrate that HF development can be sacrificed for the sake of epidermal wound regeneration. Our study elucidates the key cellular mechanism of wound healing in skin blistering diseases.
• Global existence of a unique solution and a bimodal travelling wave solution for the 1D particle-reaction-diffusion system

  Mamoru Okamoto, Takeshi Gotoda, Masaharu Nagayama

  Journal of Physics Communications 5 (5) 055016 - 055016 2021/05/01 [Refereed]
   

  Abstract In recent years, a mathematical model for collective motions of a self-propelled material have been introduced on the basis of the experiments and numerical analysis for the model have made progress in theoretical understanding of the mechanism of collective motions. On the other hand, there are few mathematically rigorous studies for the mathematical model. In this study, to provide mathematical justification for the mathematical model and its numerical analysis, we show the global existence of a unique solution of the mathematical model for a self-propelled motion on ${\mathbb{R } }$. Moreover, we give sufficient conditions for the existence of a non-trivial travelling solution on ${\mathbb{R } }$, which we call a bimodal travelling wave solution.
• Intracellular trafficking of Notch orchestrates temporal dynamics of Notch activity in the fly brain

  M. Wang, X. Han, C. Liu, R. Takayama, T. Yasugi, S.-I. Ei, M. Nagayama, Y. Tanaka, M. Sato

  Nature communications 12 (1) 1 - 15 2021/04/07 [Refereed][Not invited]
   

  While Delta non-autonomously activates Notch in neighboring cells, it autonomously inactivates Notch through cis-inhibition, the molecular mechanism and biological roles of which remain elusive. The wave of differentiation in the Drosophila brain, the 'proneural wave', is an excellent model for studying Notch signaling in vivo. Here, we show that strong nonlinearity in cis-inhibition reproduces the second peak of Notch activity behind the proneural wave in silico. Based on this, we demonstrate that Delta expression induces a quick degradation of Notch in late endosomes and the formation of the twin peaks of Notch activity in vivo. Indeed, the amount of Notch is upregulated and the twin peaks are fused forming a single peak when the function of Delta or late endosomes is compromised. Additionally, we show that the second Notch peak behind the wavefront controls neurogenesis. Thus, intracellular trafficking of Notch orchestrates the temporal dynamics of Notch activity and the temporal patterning of neurogenesis.
• Substrate membrane bearing close‐packed array of micron‐level pillars incrassates air‐exposed three‐dimensional epidermal equivalent model

  Junichi Kumamoto, Koji Fujimoto, Yasuaki Kobayashi, Kota Ohno, Masaharu Nagayama, Mitsuhiro Denda

  Skin Research and Technology 0909-752X 2021/03/24 [Refereed]
   

  BACKGROUND: We showed previously that a thick three-dimensional epidermal equivalent can be constructed with passaged keratinocytes on a patterned surface. MATERIAL AND METHODS: We first carried out computer simulations of a three-dimensional epidermal equivalent model built on close-packed arrays of 10 µm, 15 µm, 20 µm, 30 µm, and 60 µm diameter pillars. Based on these predictions, we evaluated epidermal equivalents built on a series of porous plastic membranes bearing arrays of pillars 15 µm, 20 µm, 25 µm, 30 µm, and 50 µm in diameter. RESULTS: The simulations predicted that a model having near-physiological thickness would be formed on 15 ~ 30 µm pillars. In the results of in vitro study, the thickest epidermal equivalent was obtained on the 20 µm pillars. Epidermal differentiation markers, filaggrin and loricrin, were expressed at the upper layer of the epidermal equivalent model, and tight-junction proteins, claudin-1 and ZO-1, were expressed on the cell membranes. BrdU-positive cells were observed at the base and also at the top of the pillars. CONCLUSION: The results of the study suggested that mathematical modeling might be a useful tool to guide biological studies.
• Stability of stationary points for one-dimensional Willmore energy with spatially heterogeneous term

  Masaaki Uesaka, Ken-Ichi Nakamura, Keiichi Ueda, Masaharu Nagayama

  Physica D: Nonlinear Phenomena 417 132812 - 132812 0167-2789 2021/03 [Refereed]
  
• Live imaging of alterations in cellular morphology and organelles during cornification using an epidermal equivalent model

  Sari Ipponjima, Yuki Umino, Masaharu Nagayama, Mitsuhiro Denda

  Scientific Reports 10 (1) 2020/12 [Refereed]
  
• A surfactant reaction model for the reciprocating motion of a self-propelled droplet

  Shinpei Tanaka, Satoshi Nakata, Masaharu Nagayama

  Soft Matter 17 (2) 388 - 396 1744-683X 2020/10 

  We report herein experimental observations of the reciprocating motion of a self-propelled droplet floating on the surface of an aqueous surfactant solution and a simple reaction model capable of reproducing the observed behavior of the droplet.

• A weak solution for a point mass camphor motion

  J. Fan, M. Nagayama, G. Nakamuta, M. Okamoto

  Differential and Integral Equations 33 (7-8) 431 - 443 2020/08 [Refereed]
  
• Two Floating Camphor Particles Interacting through the Lateral Capillary Force

  Yuhei Hirose, Yusuke Yasugahira, Mamoru Okamoto, Yuki Koyano, Hiroyuki Kitahata, Masaharu Nagayama, Yutaka Sumino

  Journal of the Physical Society of Japan 89 (7) 074004 - 074004 0031-9015 2020/07/15 [Refereed][Not invited]
  
• Existence and non-existence of asymmetrically rotating solutions to a mathematical model of self-propelled motion

  Mamoru Okamoto, Takeshi Gotoda, Masaharu Nagayama

  Japan Journal of Industrial and Applied Mathematics 37 (3) 883 - 912 0916-7005 2020/06/22 [Refereed][Not invited]
   

  Abstract Mathematical models for self-propelled motions are often utilized for understanding the mechanism of collective motions observed in biological systems. Indeed, several patterns of collective motions of camphor disks have been reported in experimental systems. In this paper, we show the existence of asymmetrically rotating solutions of a two-camphor model and give necessary conditions for their existence and non-existence. The main theorem insists that the function describing the surface tension should have a concave part so that asymmetric motions of two camphor disks appear. Our result provides a clue for the dependence between the surfactant concentration and the surface tension in the mathematical model, which is difficult to be measured in experiments.
• Reduced model of a reaction-diffusion system for the collective motion of camphor boats

  Kota Ikeda, Shin-Ichiro Ei, Masaharu Nagayama, Mamoru Okamoto, Akiyasu Tomoeda

  Physical Review E 99 062208  2019/06 [Refereed][Not invited]
  
• Mathematical-model-guided development of full-thickness epidermal equivalent.

  Kumamoto J, Nakanishi S, Makita M, Uesaka M, Yasugahira Y, Kobayashi Y, Nagayama M, Denda S, Denda M

  Scientific reports 8 (1) 17999  2018/12 [Refereed][Not invited]
  
• Interplay between epidermal stem cell dynamics and dermal deformation

  Yasuaki Kobayashi, Yusuke Yasugahira, Hiroyuki Kitahata, Mika Watanabe, Ken Natsuga, Masaharu Nagayama

  npj Computational Materials 4 2018/12/01 [Refereed][Not invited]
   

  © 2018, The Author(s). Tissue growth is a driving force of morphological changes in living systems. Whereas the buckling instability is known to play a crutial role for initiating spatial pattern formations in such growing systems, little is known about the rationale for succeeding morphological changes beyond this instability. In mammalian skin, the dermis has many protrusions toward the epidermis, and the epidermal stem cells are typically found on the tips of these protrusions. Although the initial instability may well be explained by the buckling involving the dermis and the basal layer, which contains proliferative cells, it does not dictate the direction of these protrusions, nor the spatial patterning of epidermal stem cells. Here we introduce a particle-based model of self-replicating cells on a deformable substrate composed of the dermis and the basement membrane, and investigate the relationship between dermal deformation and epidermal stem cell pattering on it. We show that our model reproduces the formation of dermal protrusions directing from the dermis to the epidermis, and preferential epidermal stem cell distributions on the tips of the dermal protrusions, which the basic buckling mechanism fails to explain. We argue that cell-type-dependent adhesion strengths of the cells to the basement membrane are crucial factors influencing these patterns.
• JAK/STAT guarantees robust neural stem cell differentiation by shutting off biological noise

  Y. Tanaka, T Yasugi, M. Nagayama, M. Sato, S. -I. Ei

  Scientific Reports 8 (12484) 2018/08 [Refereed][Not invited]
  
• Elasticity-based boosting of neuroepithelial nucleokinesis via indirect energy transfer from mother to daughter

  T. Shinoda, A. Nagasaka, Y. Inoue, R. Higuchi, Y. Minami, K. Kato, M. Suzuki, T. Kondo, T. Kawaue, K. Saito, N. Ueno, Y. Fukazawa, M. Nagayama, T. Miura, T. Adachi, T. Miyata

  PLoS Biology 16 (4) e2004426  2018/04 [Refereed][Not invited]
   

  Neural progenitor cells (NPCs), which are apicobasally elongated and densely packed in the developing brain, systematically move their nuclei/somata in a cell cycle-dependent manner, called interkinetic nuclear migration (IKNM): apical during G2 and basal during G1. Although intracellular molecular mechanisms of individual IKNM have been explored, how heterogeneous IKNMs are collectively coordinated is unknown. Our quantitative cell-biological and in silico analyses revealed that tissue elasticity mechanically assists an initial step of basalward IKNM. When the soma of an M-phase progenitor cell rounds up using actomyosin within the subapical space, a microzone within 10 μm from the surface, which is compressed and elastic because of the apical surface's contractility, laterally pushes the densely neighboring processes of non-M-phase cells. The pressed processes then recoil centripetally and basally to propel the nuclei/somata of the progenitor's daughter cells. Thus, indirect neighbor-assisted transfer of mechanical energy from mother to daughter helps efficient brain development.
• Interaction of non-radially symmetric camphor particles

  Shin-Ichiro Ei, Hiroyuki Kitahata, Yuki Koyano, Masaharu Nagayama

  Physica D: Nonlinear Phenomena 366 (1) 10 - 26 0167-2789 2018/03/01 [Refereed][Not invited]
   

  In this study, the interaction between two non-radially symmetric camphor particles is theoretically investigated and the equation describing the motion is derived as an ordinary differential system for the locations and the rotations. In particular, slightly modified non-radially symmetric cases from radial symmetry are extensively investigated and explicit motions are obtained. For example, it is theoretically shown that elliptically deformed camphor particles interact so as to be parallel with major axes. Such predicted motions are also checked by real experiments and numerical simulations.
• Synchronization of self-propelled soft pendulums

  Satoshi Nakata, Katsuhiko Kayahara, Masakazu Kuze, Elliott Ginder, Masaharu Nagayama, Hiraku Nishimori

  Soft Matter 14 (19) 3791 - 3798 1744-6848 2018 [Refereed][Not invited]
   

  We investigated self-propelled motions of thin filaments atop water, where we focused on understanding pendulum-type oscillations and synchronization. The filaments were produced from a commercial adhesive (consisting mainly of nitrocellulose and acetone), and exhibited deformable motions. One end of each filament was held on the edge of a quadrangular water chamber while the other was left free. Acetone and other organic molecules from the nitrocellulose filament develop on the water surface and decrease the surface tension. The difference in the surface tension around the filament becomes the driving force of the self-propelled motions. When a single filament was placed in the water chamber, a pendulum-type oscillation in the deformation of the filament was observed. When two filaments were placed in parallel in the chamber, in-phase, out-of-phase, and no-synchronization motions were observed. It was found that the class of motions depends on the distance between the two fixed points of the filaments. Mathematical modeling and numerical simulations were also used in order to further understand the dynamics of the surface active molecules and the filament motions. We propose a mathematical model equation and reproduce various behaviors exhibited by soft self-propelled matters through numerical simulation.
• JAK/STAT guarantees robust differentiation of neural stem cells by shutting off biological noises in the developing fly brain

  Makoto Sato, Tetsuo Yasugi, Yoshitaro Tanaka, Masaharu Nagayama, Shin-Ichiro Ei

  CYTOKINE 100 127 - 127 1043-4666 2017/12 [Refereed][Not invited]
  
• Real-time imaging of calcium dynamics in human epidermis in response to point laser stimulation

  M. Goto, J. Kumamoto, M. Denda, M. Nagayama

  JOURNAL OF INVESTIGATIVE DERMATOLOGY 137 (10) S212 - S212 0022-202X 2017/10 [Refereed][Not invited]
  
• Sustained dynamics of a weakly excitable system with nonlocal interactions

  Yasuaki Kobayashi, Hiroyuki Kitahata, Masaharu Nagayama

  PHYSICAL REVIEW E 96 (2) 022213  2470-0045 2017/08 [Refereed][Not invited]
   

  We investigate a two-dimensional spatially extended system that has a weak sense of excitability, where an excitation wave has a uniform profile and propagates only within a finite range. Using a cellular automaton model of such a weakly excitable system, we show that three kinds of sustained dynamics emerge when nonlocal spatial interactions are provided, where a chain of local wave propagation and nonlocal activation forms an elementary oscillatory cycle. Transition between different oscillation regimes can be understood as different ways of interactions among these cycles. Analytical expressions are given for the oscillation probability near the onset of oscillations.
• Type XVII collagen coordinates proliferation in the interfollicular epidermis

  Mika Watanabe, Ken Natsuga, Wataru Nishie, Yasuaki Kobayashi, Giacomo Donati, Shotaro Suzuki, Yu Fujimura, Tadasuke Tsukiyama, Hideyuki Ujiie, Satoru Shinkuma, Hideki Nakamura, Masamoto Murakami, Michitaka Ozaki, Masaharu Nagayama, Fiona M. Watt, Hiroshi Shimizu

  ELIFE 6 e26635  2050-084X 2017/07 [Refereed][Not invited]
   

  Type XVII collagen (COL17) is a transmembrane protein located at the epidermal basement membrane zone. COL17 deficiency results in premature hair aging phenotypes and in junctional epidermolysis bullosa. Here, we show that COL17 plays a central role in regulating interfollicular epidermis (IFE) proliferation. Loss of COL17 leads to transient IFE hypertrophy in neonatal mice owing to aberrant Wnt signaling. The replenishment of COL17 in the neonatal epidermis of COL17-null mice reverses the proliferative IFE phenotype and the altered Wnt signaling. Physical aging abolishes membranous COL17 in IFE basal cells because of inactive atypical protein kinase C signaling and also induces epidermal hyperproliferation. The overexpression of human COL17 in aged mouse epidermis suppresses IFE hypertrophy. These findings demonstrate that COL17 governs IFE proliferation of neonatal and aged skin in distinct ways. Our study indicates that COL17 could be an important target of anti-aging strategies in the skin.
• Self-inverted reciprocation of an oil droplet on a surfactant solution

  Yusuke Satoh, Yoshimi Sogabe, Katsuhiko Kayahara, Shinpei Tanaka, Masaharu Nagayama, Satoshi Nakata

  SOFT MATTER 13 (18) 3422 - 3430 1744-683X 2017/05 [Refereed][Not invited]
   

  Self-motion of an oil droplet was investigated on a sodium dodecyl sulfate (SDS) aqueous phase. With an increase in the concentration of SDS, the nature of self-motion of a butyl salicylate (BS) droplet as the oil droplet was changed, i.e., no motion, reciprocation with a small amplitude, and reciprocation with a large amplitude, which was a value close to the half-length of the chamber. The interfacial tension, contact angle, and convective flow around the droplet were measured to clarify the driving force of reciprocation. The mechanisms of two types of reciprocation and mode-change were discussed in terms of the adsorption of SDS molecules at the BS/water interface and the dissolution of a mixture of BS and SDS into the bulk phase, the convective flow, and the Young's equation. The features of reciprocation and mode-change depending on the concentration of SDS were qualitatively reproduced by numerical calculation based on an equation of motion and the kinetics of SDS and BS at the air/aqueous interface.
• Real-time imaging of human epidermal calcium dynamics in response to point laser stimulation

  Junichi Kumamoto, Makiko Goto, Masaharu Nagayama, Mitsuhiro Denda

  JOURNAL OF DERMATOLOGICAL SCIENCE 86 (1) 13 - 20 0923-1811 2017/04 [Refereed][Not invited]
   

  Background: Changes of epidermal calcium ion concentration are involved in regulation of barrier homeostasis and keratinocyte differentiation. Moreover, intracellular calcium dynamics might play a role in skin sensation. But, although calcium dynamics of cultured keratinocytes in response to mechanical stresses has been well studied, calcium propagation in stimulated human epidermis is still poorly understood. Objective: The aim of this study was to demonstrate a novel method for real-time measurement of calcium dynamics in response to point stimulation of human epidermis at the single-cell level. Methods: We examined calcium propagation in cross-sectional samples of living human epidermis ex vivo, as well as in cultured human keratinocytes, by means of two-photon microscopy after stimulating cells in stratum granulosum with the emission laser of a two-photon microscope. Results: Cells in different epidermal layers showed different responses, and those in stratum basale showed the greatest elevation of intracellular calcium. Calcium propagation in epidermis was inhibited in the presence of apyrase (which degrades adenosine triphosphate; ATP) or gap junction blockers. In cultured keratinocytes, on the other hand, calcium propagated in a simple concentric wave-like manner from the stimulation site, and propagation was strongly suppressed by apyrase. Conclusion: Our results suggested that ATP and gap junctions play important roles in calcium propagation induced by point laser stimulation of the uppermost layer of epidermis. Our method should be broadly useful to study calcium dynamics, epidermal physiological mechanisms, and mechanisms of skin sensation at the single-cell level. (C) 2017 Japanese Society for Investigative Dermatology. Published by Elsevier Ireland Ltd. All rights reserved.
• Traveling pulse solutions in a point mass model of diffusing particles

  E. Ginder, T. Minomo, M. Nagayama, S. Nakata, H. Yamamoto

  Computer Methods in Materials Science 17 (2) 111 - 121 2017/01 [Refereed][Not invited]
  
• Mathematical Modeling of the Barrier Function of the Stratum Corneum and Its Application

  Nagayama Masaharu, Denda Mitsuhiro, Kitahata Hiroyuki, Kobayashi Yasuaki

  Bulletin of the Japan Society for Industrial and Applied Mathematics 一般社団法人 日本応用数理学会 27 (2) 18 - 26 2017 

  Mammalian skin works as physical, chemical, and immunological defenses, keeping water inside and nuisances outside. Such barrier function is maintained in stratum corneum, the outermost layer composed of dead cells. We construct a mathematical model of the epidermal structure depending on dermal deformation in order to mathematically understand the mechanisms of homeostasis of the barrier function of the stratum corneum. Our mathematical model consists of Ca²⁺ dynamics, cells dynamics and basal membrane dynamics. Using these mathematical models, we aim at understanding of the homeostatic mechanism of the barrier function of the stratum corneum.

• Notch-mediated lateral inhibition regulates proneural wave propagation when combined with EGF-mediated reaction diffusion

  Makoto Sato, Tetsuo Yasugi, Yoshiaki Minami, Takashi Miura, Masaharu Nagayama

  PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 113 (35) E5153 - E5162 0027-8424 2016/08 [Refereed][Not invited]
   

  Notch-mediated lateral inhibition regulates binary cell fate choice, resulting in salt and pepper patterns during various developmental processes. However, how Notch signaling behaves in combination with other signaling systems remains elusive. The wave of differentiation in the Drosophila visual center or "proneural wave" accompanies Notch activity that is propagated without the formation of a salt and pepper pattern, implying that Notch does not form a feedback loop of lateral inhibition during this process. However, mathematical modeling and genetic analysis clearly showed that Notch-mediated lateral inhibition is implemented within the proneural wave. Because partial reduction in EGF signaling causes the formation of the salt and pepper pattern, it is most likely that EGF diffusion cancels salt and pepper pattern formation in silico and in vivo. Moreover, the combination of Notch-mediated lateral inhibition and EGF-mediated reaction diffusion enables a function of Notch signaling that regulates propagation of the wave of differentiation.
• Abnormal Morphology of Blood Vessels in Erythematous Skin From Atopic Dermatitis Patients

  Moe Tsutsumi, Maki Fukuda, Junichi Kumamoto, Makiko Goto, Sumiko Denda, Kenshi Yamasaki, Setsuya Aiba, Masaharu Nagayama, Mitsuhiro Denda

  AMERICAN JOURNAL OF DERMATOPATHOLOGY 38 (5) 363 - 364 0193-1091 2016/05 [Refereed][Not invited]
   

  Previous studies suggest that altered peripheral blood circulation might be associated with erythema or inflammation in atopic dermatitis (AD) patients. However, the overall structure of blood vessels and capillaries in AD skin is poorly understood because most studies have involved light-microscopic observation of thin skin sections. In the present study, we compared the 3-dimensional structures of peripheral blood vessels of healthy subjects and AD patients in detail by means of 2-photon microscopy. In skin from healthy subjects, superficial vascular plexus and capillaries originating from flexous blood vessels were observed. However, skin from AD patients contained thickened, flexuous blood vessels, which might be associated with increased blood flow, in both erythematous and nonlesional areas. However, patients with lichenification did not display these morphological changes. Bifurcation of vessels was not observed in either erythematous or lichenification lesions. These results might be helpful for developing new clinical strategies to treat erythema in AD patients.
• Mathematical model for calcium-assisted epidermal homeostasis

  Yasuaki Kobayashi, Yusuke Sawabu, Hiroyuki Kitahata, Mitsuhiro Denda, Masaharu Nagayama

  JOURNAL OF THEORETICAL BIOLOGY 397 52 - 60 0022-5193 2016/05 [Refereed][Not invited]
   

  Using a mathematical model of the epidermis, we propose a mechanism of epidermal homeostasis mediated by calcium dynamics. We show that calcium dynamics beneath the stratum corneum can reduce spatio-temporal fluctuations of the layered structure of the epidermis. We also demonstrate that our model can reproduce experimental results that the recovery from a barrier disruption is faster when the disrupted site is exposed to air. In particular, simulation results indicate that the recovery speed depends on the size of barrier disruption. (C) 2016 The Authors. Published by Elsevier Ltd.
• Role of STIM1-Orai1 system in intra-cellular calcium elevation induced by ATP in cultured human keratinocytes

  Kentaro Takei, Sumiko Denda, Masaharu Nagayama, Mitsuhiro Denda

  EXPERIMENTAL DERMATOLOGY 25 (4) 323 - 325 0906-6705 2016/04 [Refereed][Not invited]
  
• Mathematical model for self-propelled droplets driven by interfacial tension

  Ken H. Nagai, Kunihito Tachibana, Yuta Tobe, Masaki Kazama, Hiroyuki Kitahata, Seiro Omata, Masaharu Nagayama

  JOURNAL OF CHEMICAL PHYSICS 144 (11) 114707  0021-9606 2016/03 [Refereed][Not invited]
   

  We propose a model for the spontaneous motion of a droplet induced by inhomogeneity in interfacial tension. The model is derived from a variation of the Lagrangian of the system and we use a time-discretized Morse flow scheme to perform its numerical simulations. Our model can naturally simulate the dynamics of a single droplet, as well as that of multiple droplets, where the volume of each droplet is conserved. We reproduced the ballistic motion and fission of a droplet, and the collision of two droplets was also examined numerically. (C) 2016 AIP Publishing LLC.
• Mathematical Model of Epidermal Structure

  Yasuaki Kobayashi, Masaharu Nagayama

  APPLICATIONS + PRACTICAL CONCEPTUALIZATION + MATHEMATICS = FRUITFUL INNOVATION 11 121 - 126 2198-350X 2016 [Refereed][Not invited]
   

  Using a mathematical model of the epidermis, we investigate how the structure of the dermis affects the spatio-temporal pattern of the upper structure, especially the stratum corneum (SC). We find that, while large scale undulations greatly affects the upper structure, small scale undulations do not propagate into the upper structure, which is consistent with experimentally observed cross sections of the epidermis.
• Numerical and comparative three-dimensional structural analysis of peripheral nerve fibres in epidermis of patients with atopic dermatitis

  M. Tsutsumi, H. Kitahata, M. Fukuda, J. . Kumamoto, M. Goto, S. . Denda, K. Yamasaki, S. . Aiba, M. Nagayama, M. Denda

  BRITISH JOURNAL OF DERMATOLOGY 174 (1) 191 - 194 0007-0963 2016/01 [Refereed][Not invited]
  
• Japanese Cedar (Cryptomeria japonica) pollen allergen induces elevation of intracellular calcium in human keratinocytes and impairs epidermal barrier function of human skin ex vivo

  Junichi Kumamoto, Moe Tsutsumi, Makiko Goto, Masaharu Nagayama, Mitsuhiro Denda

  ARCHIVES OF DERMATOLOGICAL RESEARCH 308 (1) 49 - 54 0340-3696 2016/01 [Refereed][Not invited]
   

  Cry j1 is the major peptide allergen of Japanese cedar (Sugi), Cryptomeria japonica. Since some allergens disrupt epidermal permeability barrier homeostasis, we hypothesized that Cry j1 might have a similar effect. Intracellular calcium level in cultured human keratinocytes was measured with a ratiometric fluorescent probe, Fura-2 AM. Application of Cry j1 significantly increased the intracellular calcium level of keratinocytes, and this increase was inhibited by trypsin inhibitor or a protease-activated receptor 2 (PAR-2) antagonist. We found that Cry j1 itself did not show protease activity, but application of Cry j1 to cultured keratinocytes induced a rapid (within 30 s) and transient increase of protease activity in the medium. This transient increase was blocked by trypsin inhibitor or PAR-2 antagonist. The effect of Cry j1 on transepidermal water loss (TEWL) of cultured human skin was measured in the presence and absence of a trypsin inhibitor and PAR-2 antagonist. Cry j1 significantly impaired the barrier function of human skin ex vivo, and this action was blocked by co-application of trypsin inhibitor or PAR-2 antagonist. Our results suggested that interaction of Cry j1 with epidermal keratinocytes leads to the activation of PAR-2, which induces elevation of intracellular calcium and disruption of barrier function. Blocking the interaction of Cry j1 with epidermal keratinocytes might ameliorate allergic reaction and prevent disruption of epidermal permeability barrier homeostasis.
• REDUCED MODEL FROM A REACTION-DIFFUSION SYSTEM OF COLLECTIVE MOTION OF CAMPHOR BOATS

  Shin-Ichiro Ei, Kota Ikeda, Masaharu Nagayama, Akiyasu Tomoeda

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 8 (5) 847 - 856 1937-1632 2015/10 [Refereed][Not invited]
   

  Various motions of camphor boats in the water channel exhibit both a homogeneous and an inhomogeneous state, depending on the number of boats, when unidirectional motion along an annular water channel can be observed even with only one camphor boat. In a theoretical research, the unidirectional motion is represented by a traveling wave solution in a model. Since the experimental results described above are thought of as a kind of bifurcation phenomena, we would like to investigate a linearized eigenvalue problem in order to prove the destabilization of a traveling wave solution. However, the eigenvalue problem is too difficult to analyze even if the number of camphor boats is 2. Hence we need to make a reduction on the model. In the present paper, we apply the center manifold theory and reduce the model to an ordinary differential system.
• Effects of medium flow on axon growth with or without nerve growth factor

  Junichi Kumamoto, Hiroyuki Kitahata, Makiko Goto, Masaharu Nagayama, Mitsuhiro Denda

  BIOCHEMICAL AND BIOPHYSICAL RESEARCH COMMUNICATIONS 465 (1) 26 - 29 0006-291X 2015/09 [Refereed][Not invited]
   

  Axon growth is a crucial process in regeneration of damaged nerves. On the other hand, elongation of nerve fibers in the epidermis has been observed in skin of atopic dermatitis patients. Thus, regulation of nerve fiber extension might be an effective strategy to accelerate nerve regeneration and/or to reduce itching in pruritus dermatosis. We previously demonstrated that neurons and epidermal keratinocytes similarly contain multiple receptors that are activated by various environmental factors, and in particular, keratinocytes are influenced by shear stress. Thus, in the present study, we evaluated the effects of micro-flow of the medium on axon growth in the presence or absence of nerve growth factor (NGF), using cultured dorsal-root-ganglion (DRG) cells. The apparatus, AXIS (TM), consists of two chambers connected by a set of microgrooves, through which signaling molecules and axons, but not living cells, can pass. When DRG cells were present in chamber 1, NGF was present in chamber 2, and micro-flow was directed from chamber 1 to chamber 2, axon growth was significantly increased compared with other conditions. Acceleration of axon growth in the direction of the micro-flow was also observed in the absence of NCR These results suggest that local micro-flow might significantly influence axon growth. (C) 2015 Elsevier Inc. All rights reserved.
• Model for calcium-mediated reduction of structural fluctuations in epidermis

  Yasuaki Kobayashi, Hiroyuki Kitahata, Masaharu Nagayama

  PHYSICAL REVIEW E 92 (2) 1539-3755 2015/08 [Refereed][Not invited]
   

  We propose a reaction-advection-diffusion model of epidermis consisting of two variables, the degree of differentiation and the calcium ion concentration, where calcium ions enhance differentiation. By analytically and numerically investigating this system, we show that a calcium localization layer formed beneath the stratum corneum helps reduce spatiotemporal fluctuations of the structure of the stratum corneum. In particular, spatially or temporally small-scale fluctuations in the lower structure are suppressed and do not affect the upper structure, due to acceleration of differentiation by calcium ions. Analytical expressions for the reduction rate of fluctuation amplitudes are shown.
• Bifurcation phenomena of two self-propelled camphor disks on an annular field depending on system length

  Kei Nishi, Ken Wakai, Tomoaki Ueda, Miyu Yoshii, Yumihiko S. Ikura, Hiraku Nishimori, Satoshi Nakata, Masaharu Nagayama

  PHYSICAL REVIEW E 92 (2) 1539-3755 2015/08 [Refereed][Not invited]
   

  Mode selection and bifurcation of a synchronized motion involving two symmetric self-propelled objects in a periodic one-dimensional domain were investigated numerically and experimentally by using camphor disks placed on an annular water channel. Newton's equation of motion for each camphor disk, whose driving force was the difference in surface tension, and a reaction-diffusion equation for camphor molecules on water were used in the numerical calculations. Among various dynamical behaviors found numerically, four kinds of synchronized motions (reversal oscillation, stop-and-move rotation, equally spaced rotation, and clustered rotation) were also observed in experiments by changing the diameter of the water channel. The mode bifurcation of these motions, including their coexistence, were clarified numerically and analytically in terms of the number density of the disk. These results suggest that the present mathematical model and the analysis of the equations can be worthwhile in understanding the characteristic features of motion, e.g., synchronization, collective motion, and their mode bifurcation.
• Mathematical Model for Epidermal Homeostasis

  Yasuaki Kobayashi, Yusuke Sawabu, Satoshi Ota, Masaharu Nagayama

  Mathematical Progress in Expressive Image Synthesis II 18 119 - 123 2015/06 [Refereed][Not invited]
  
• Expression of Orai3 correlates with aging-related changes in stress-induced calcium signaling in keratinocytes

  S. Denda, J. Kumamoto, K. Takei, M. Goto, M. Nagayama, M. Denda

  JOURNAL OF INVESTIGATIVE DERMATOLOGY 135 S65 - S65 0022-202X 2015/05 [Not refereed][Not invited]
  
• Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for call ploarization

  T. Mori, K. Kuto, M. Nagayama, T. Tsujikawa, S. Yotsutani

  Dynamical Systems, Differential Equations and Applications AIMS Proceedings 861 - 877 2015/05 [Refereed][Not invited]
  
• Physicochemical design and analysis of self-propelled objects that are characteristically sensitive to environments

  Satoshi Nakata, Masaharu Nagayama, Hiroyuki Kitahata, Nobuhiko J. Suematsu, Takeshi Hasegawa

  PHYSICAL CHEMISTRY CHEMICAL PHYSICS 17 (16) 10326 - 10338 1463-9076 2015 [Refereed][Not invited]
   

  The development of self-propelled motors that mimic biological motors is an important challenge for the transport of either themselves or some material in a small space, since biological systems exhibit high autonomy and various types of responses, such as taxis and swarming. In this perspective, we review non-living systems that behave like living matter. We especially focus on nonlinearity to enhance autonomy and the response of the system, since characteristic nonlinear phenomena, such as oscillation, synchronization, pattern formation, bifurcation, and hysteresis, are coupled to self-motion of which driving force is the difference in the interfacial tension. Mathematical modelling based on reaction-diffusion equations and equations of motion as well as physicochemical analysis from the point of view of the molecular structure are also important for the design of non-living motors that mimic living motors.
• 21aPS-1 Reaction-Advection-Diffusion Model of the Epidermis

  Kobayashi Y., Nagayama M.

  Meeting Abstracts of the Physical Society of Japan 一般社団法人日本物理学会 70 2849 - 2849 2189-079X 2015
• Role of STIM1-Orai1 system in intracellular calcium elevation induced by ATP in cultured human keratinocytes

  S. Denda, K. Takei, M. Nagayama, M. Denda

  MOLECULAR BIOLOGY OF THE CELL 26 1059-1524 2015 [Not refereed][Not invited]
  
• Theoretical study on the translation and rotation of an elliptic camphor particle

  Keita Iida, Hiroyuki Kitahata, Masaharu Nagayama

  PHYSICA D-NONLINEAR PHENOMENA 272 39 - 50 0167-2789 2014/04 [Refereed][Not invited]
   

  The spontaneous motion of an elliptic camphor particle floating on water is studied theoretically and experimentally. Considering a mathematical model for the motion of an elliptic camphor particle in a two-dimensional space, we first investigate the asymptotic solutions with numerical computation. We then introduce a small parameters into the definition of the particle shape, which represents an elliptic deformation from a circular shape and, by means of perturbation theory, we analytically calculate the travelling solution to within O(epsilon). The results show that short-axis-directed travelling solutions primarily bifurcate from stationary solutions and that long-axis-directed ones are secondary which means that elliptic camphor particles are easier to move in the short-axis direction. Furthermore, we show that rotating solutions bifurcate from stationary solutions and that the bifurcation point changes with 0(82), which suggests that elliptic camphor disks easily exhibit translational motion, rather than rotational, within the small deformation. Finally, our theoretical suggestions are confirmed by an experiment. (C) 2014 Elsevier B.V. All rights reserved.
• Mathematical Modeling of Calcium Waves Induced by Mechanical Stimulation in Keratinocytes

  Yasuaki Kobayashi, Yumi Sanno, Akihiko Sakai, Yusuke Sawabu, Moe Tsutsumi, Makiko Goto, Hiroyuki Kitahata, Satoshi Nakata, Junichi Kumamoto, Mitsuhiro Denda, Masaharu Nagayama

  PLOS ONE 9 (3) 1932-6203 2014/03 [Refereed][Not invited]
   

  Recent studies have shown that the behavior of calcium in the epidermis is closely related to the conditions of the skin, especially the differentiation of the epidermal keratinocytes and the permeability barrier function, and therefore a correct understanding of the calcium dynamics is important in explaining epidermal homeostasis. Here we report on experimental observations of in vitro calcium waves in keratinocytes induced by mechanical stimulation, and present a mathematical model that can describe the experimentally observed wave behavior that includes finite-range wave propagation and a ring-shaped pattern. A mechanism of the ring formation hypothesized by our model may be related to similar calcium propagation patterns observed during the wound healing process in the epidermis. We discuss a possible extension of our model that may serve as a tool for investigating the mechanisms of various skin diseases.
• Frontiers in epidermal barrier homeostasis - an approach to mathematical modelling of epidermal calcium dynamics

  Mitsuhiro Denda, Sumiko Denda, Moe Tsutsumi, Makiko Goto, Junichi Kumamoto, Masashi Nakatani, Kentaro Takei, Hiroyuki Kitahata, Satoshi Nakata, Yusuke Sawabu, Yasuaki Kobayashi, Masaharu Nagayama

  EXPERIMENTAL DERMATOLOGY 23 (2) 79 - 82 0906-6705 2014/02 [Refereed][Not invited]
   

  Intact epidermal barrier function is crucial for survival and is associated with the presence of gradients of both calcium ion concentration and electric potential. Although many molecules, including ion channels and pumps, are known to contribute to maintenance of these gradients, the mechanisms involved in epidermal calcium ion dynamics have not been clarified. We have established that a variety of neurotransmitters and their receptors, originally found in the brain, are expressed in keratinocytes and are also associated with barrier homeostasis. Moreover, keratinocytes and neurons show some similarities of electrochemical behaviour. As mathematical modelling and computer simulation have been employed to understand electrochemical phenomena in brain science, we considered that a similar approach might be applicable to describe the dynamics of epidermal electrochemical phenomena associated with barrier homeostasis. Such methodology would also be potentially useful to address a number of difficult problems in clinical dermatology, such as ageing and itching. Although this work is at a very early stage, in this essay, we discuss the background to our approach and we present some preliminary results of simulation of barrier recovery.
• Appilcation of a center maifold theory to a reaction-diffusion system of collective motion of camphor disks and boats

  S.-I. Ei, K. Ikeda, M. Nagayama, A. Tomoeda

  Mathematica Bohemica 139 (2) 363 - 371 2014 [Refereed][Not invited]
  
• On fundamental cellular processes for emergence of collective epithelial movement

  Tsuyoshi Hirashima, Yoichiroh Hosokawa, Takanori Iino, Masaharu Nagayama

  BIOLOGY OPEN 2 (7) 660 - 666 2046-6390 2013/07 [Refereed][Not invited]
   

  In all animals, collective cell movement is an essential process in many events, including wound healing and embryonic development. However, our understanding of what characterizes the emergence of multicellular collective behavior is still far from complete. In this article we showed the fundamental cellular processes that drive collective cell movement by means of integrated approaches, including precise quantification measurements and mathematical modeling of measured data. First, we observed the dependence of the collective behaviors of cultured human skin cells on Ca2+ concentrations. When the culturing area confined by a PDMS sheet was suddenly expanded by removing the sheet, the group of cells moved to the expanded area with higher collectivity at higher Ca2+ concentrations. Next, we quantitatively measured cellular responses to the Ca2+ treatments, such as cell growth, cell division, and the strength of intercellular adhesion. Using a femtosecond-laser-based assay, an original method for estimating intercellular adhesion, we found that the strength of intercellular adhesion has an approximately 13-fold range in our treatments. Incorporating the quantitative data into a mathematical model, we then confirmed that the model well reproduced the multicellular behaviors we observed, demonstrating that the strength of intercellular adhesion sufficiently determines the generation of collective cell movement. Finally, we performed extensive numerical experiments, and the results suggested that the emergence of collective cell movement is derived by an optimal balance between the strength of intercellular adhesion and the intensity of cell migration. (C) 2013. Published by The Company of Biologists Ltd.
• Reciprocating Motion of a Self-Propelled Object on a Molecular Layer with a Local Minimum and a Local Maximum Isotherm

  Satoshi Nakata, Tatsuya Miyaji, Tomoaki Ueda, Taisuke Sato, Yumihiko S. Ikura, Shunsuke Izumi, Masaharu Nagayama

  JOURNAL OF PHYSICAL CHEMISTRY C 117 (12) 6346 - 6352 1932-7447 2013/03 [Refereed][Not invited]
   

  The mode change of a simple autonomous motor depending on the nature of an N-acyl-p-nitroaniline, (C(n)ANA, CH3(CH2)(n-2)CONH phi NO2, n = 8, 14, 16, 18, or 22) monolayer on water was investigated. A camphor disk was floated on a molecular layer of C(n)ANA, which gave a characteristic surface pressure (Pi) vs area (A) isotherm. The nature of the camphor motion changed depending on the Pi vs A isotherm, and in particular reciprocating motion was observed for C(14)ANA, C(16)ANA, and C(18)ANA, which gave a Pi vs A isotherm with a local minimum and a local maximum. The characteristic motion of a camphor disk is discussed in relation to the Pi vs A isotherm of C(n)ANA and the influence of the interaction between molecules on the driving force of motion. Reciprocating motion was qualitatively reproduced by numerical calculation.
• Spontaneous motion of an elliptic camphor particle

  Hiroyuki Kitahata, Keita Iida, Masaharu Nagayama

  PHYSICAL REVIEW E 87 (1) 1539-3755 2013/01 [Refereed][Not invited]
   

  The coupling between deformation and motion in a self-propelled system has attracted broader interest. In the present study, we consider an elliptic camphor particle for investigating the effect of particle shape on spontaneous motion. It is concluded that the symmetric spatial distribution of camphor molecules at the water surface becomes unstable first in the direction of a short axis, which induces the camphor disk motion in this direction. Experimental results also support the theoretical analysis. From the present results, we suggest that when an elliptic particle supplies surface-active molecules to the water surface, the particle can exhibit translational motion only in the short-axis direction. DOI: 10.1103/PhysRevE.87.010901
• 1G1400 Larger Intercellular Adhesion Strength Generates More Coherent and Directional Multicellular Movement : Measurement and Simulation(Cell Biology I,Oral Presentation,The 50th Annual Meeting of the Biophysical Society of Japan)

  Hirashima Tsuyoshi, Iino Takanori, Hosokawa Yoichiroh, Nagayama Masaharu

  Seibutsu Butsuri 一般社団法人 日本生物物理学会 52 S31  2012
• 2C1448 Modeling wave propagation dynamics in MDCK wound healing assay(Mathematical Biology,Oral Presentation,The 50th Annual Meeting of the Biophysical Society of Japan)

  Sawabu Yusuke, Nagayama Masaharu, Miura Takashi, Kitahata Hiroyuki

  Seibutsu Butsuri 一般社団法人 日本生物物理学会 52 S42  2012
• Chaotic motion of propagating pulses in the Gray-Scott model

  Masaaki Yadome, Kei-Ichi Ueda, Masaharu Nagayama

  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 83 (5) 1539-3755 2011/05/09 [Refereed][Not invited]
   

  Transition routes of propagating pulses in the Gray-Scott model from oscillatory to chaotic motion are investigated by numerical studies. Global bifurcation of the Gray-Scott model gives us information about the onset mechanism of transient dynamics, such as the splitting and extinction of pulses. However, the instability mechanism of oscillatory pulses has not been clarified, even numerically. Global bifurcation analysis of time periodic oscillatory traveling pulses, called traveling breathers, enables us to find chaotic motions of oscillatory pulse solutions. Two types of transitions to chaos, namely, period-doubling sequences and breakdown of quasiperiodic solutions, are found near the bifurcation points of traveling breathers. © 2011 American Physical Society.
• Chaotic motion of propagating pulses in the Gray-Scott model

  Masaaki Yadome, Kei-Ichi Ueda, Masaharu Nagayama

  PHYSICAL REVIEW E 83 (5) 2470-0045 2011/05 [Refereed][Not invited]
   

  Transition routes of propagating pulses in the Gray-Scott model from oscillatory to chaotic motion are investigated by numerical studies. Global bifurcation of the Gray-Scott model gives us information about the onset mechanism of transient dynamics, such as the splitting and extinction of pulses. However, the instability mechanism of oscillatory pulses has not been clarified, even numerically. Global bifurcation analysis of time periodic oscillatory traveling pulses, called traveling breathers, enables us to find chaotic motions of oscillatory pulse solutions. Two types of transitions to chaos, namely, period-doubling sequences and breakdown of quasiperiodic solutions, are found near the bifurcation points of traveling breathers.
• Numerical approach to transient dynamics of oscillatory pulses in a bistable reaction-diffusion system

  Masaharu Nagayama, Kei-ichi Ueda, Masaaki Yadome

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 27 (2) 295 - 322 0916-7005 2010/09 [Refereed][Not invited]
   

  Various types of interesting pattern dynamics such as self-replicating patterns and spiral patterns have been observed in reaction diffusion (RD) systems. In recent years, periodically oscillating pulses called breathers have been found in several RD systems. In addition, the transient dynamics from traveling breathers to standing breathers have been numerically investigated, and the existence and stability of breathers have been studied by (semi-)rigorous approaches. However, the mechanism of transient dynamics has yet to be clarified, even using numerical approaches, since the global bifurcation diagram of breathers has not been obtained. In this article, we propose a numerical scheme that enables unstable breathers to be tracked. By using the global bifurcation diagram, we numerically investigate the global behavior of unstable manifolds emanating from the bifurcation point associated with the transient dynamics and clarify the onset mechanism of the transient dynamics.
• Mode-Switching of the Self-Motion of a Camphor Boat Depending on the Diffusion Distance of Camphor Molecules

  Nobuhiko J. Suematsu, Yumihiko Ikura, Masaharu Nagayama, Hiroyuki Kitahata, Nao Kawagishi, Mai Murakami, Satoshi Nakata

  JOURNAL OF PHYSICAL CHEMISTRY C 114 (21) 9876 - 9882 1932-7447 2010/06 [Refereed][Not invited]
   

  We demonstrated mode-switching of self-motion coupled with diffusion of molecules at a solid/liquid interface. A camphor boat moved spontaneously on water and the mode of self-motion depended on the setup of the boat. When a camphor disk was connected to the center of a larger plastic plate, intermittent motion (alternating between rest and rapid motion) was observed. When the position of the camphor disk was changed from the center to one of its edges, the period of intermittent motion decreased, and intermittent motion changed to continuous motion. The features of this self-motion and mode-switching were qualitatively reproduced by a numerical calculation using a mathematical model that incorporates the distribution of camphor molecules at the solid/liquid interface.
• Mathematical analysis of intercellular calcium propagation induced by adenosine triphosphate

  Moe Tsutsumi, Hiroyuki Kitahata, Satoshi Nakata, Yumi Sanno, Masaharu Nagayama, Mitsuhiro Denda

  SKIN RESEARCH AND TECHNOLOGY 16 (2) 146 - 150 0909-752X 2010/05 [Refereed][Not invited]
   

  Background We previously demonstrated that intracellular calcium propagation was induced by stimulation of epidermal keratinocytes in skin slices or in culture with adenosine triphosphate (ATP). The feature of the calcium wave propagation appeared to be different between differentiated cells and proliferating cells, and so the mechanisms involved might be different. Purpose Establish a new methodology to abstract cellular information from aggregative dynamics. Methods We present a mathematical analysis of the calcium wave to evaluate the mechanism of calcium ion propagation. Results A well-defined calcium wave was observed in differentiated cells in comparison with undifferentiated cells. Application of either 2APB [an inositol 1,4,5-trisphosphate (IP3) receptor blocker] or U73122 (an IP3 synthesis blocker) reduced the amplitude of the wave in differentiated cells. Mathematical analysis indicated that U73122 decreased the velocity of the wave, while 2APB altered the wave form. Thus, IP3 synthesis might be important for signal transmission and IP3 movement might be important for pattern formation. Conclusion The method we present here should be useful to analyze the effects of various reagents in in vitro studies.
• Experimental and theoretical studies on the self-motion of a phenanthroline disk coupled with complex formation

  Keita Iida, Nobuhiko J. Suematsu, Yumi Miyahara, Hiroyuki Kitahata, Masaharu Nagayama, Satoshi Nakata

  PHYSICAL CHEMISTRY CHEMICAL PHYSICS 12 (7) 1557 - 1563 1463-9076 2010 [Refereed][Not invited]
   

  A change in the mode of self-motion coupled with complex formation was investigated experimentally and theoretically. A 1,10-phenanthroline disk floating on water exhibited either uniform or intermittent motion (in which the disk altered between rapid motion and a resting state) depending on the concentration of Fe(2+) in the aqueous phase. Since the driving force for this motion is considered to be governed by the surface concentrations of phenanthroline (phen) and [Fe(phen)(3)](2+), it is important to understand the relationship between the kinetics near the air/water interface and the mode of motion. We propose a mathematical model for the motion of the phenanthroline disk and discuss the validity of this model based on a comparison with the experimental results.
• Oscillation and Synchronization in the Combustion of Candles

  Hiroyuki Kitahata, Junji Taguchi, Masaharu Nagayama, Tatsunari Sakurai, Yumihiko Ikura, Atsushi Osa, Yutaka Sumino, Masanobu Tanaka, Etsuro Yokoyama, Hidetoshi Miike

  JOURNAL OF PHYSICAL CHEMISTRY A 113 (29) 8164 - 8168 1089-5639 2009/07 [Refereed][Not invited]
   

  We investigate a simple experimental system using candles; stable combustion is seen when a single candle burns, while oscillatory combustion is seen when three candies burn together. If we consider a set of three candles as a component oscillator, two oscillators, that is, two sets of three candles, can Couple with each other, resulting in both in-phase and antiphase synchronization depending on the distance between the two sets. The mathematical model indicates that the oscillatory combustion in a set of three candles is induced by a lack of oxygen around the burning point. Furthermore, we suggest that thermal radiation may be an essential factor of the synchronization.
• Bifurcation of self-motion depending on the reaction order

  Masaharu Nagayama, Masaaki Yadome, Mai Murakami, Noriko Kato, Junko Kirisakae, Satoshi Nakata

  PHYSICAL CHEMISTRY CHEMICAL PHYSICS 11 (7) 1085 - 1090 1463-9076 2009 [Refereed][Not invited]
   

  As a simple example of an autonomous motor, the characteristic features of self-motion coupled with the acid-base reaction were numerically and experimentally investigated at the air/aqueous interface. Oscillatory and uniform motion were categorized as a function of the reaction order by numerical computations using a mathematical model that incorporates both the distribution of the surface active layer developed from a material particle as the driving force and the kinetics of the acid-base reaction. The nature of the self-motion was experimentally observed for a boat adhered to a camphor derivative with a mono-or di-carboxylic acid on a phosphate aqueous phase as the base.
• A NESTED SEQUENCE OF TRANSITIONS FOR COLLISION DYNAMICS IN DISSIPATIVE SYSTEMS

  M.Yadome, K.-I.Ueda, T.Teramoto, M.Nagayama, Y.Nishiura

  Bulletin of the Institute of Mathematics, Academia Sinica New Series Institute of Mathematics, Academia Sinica 3 (4) 585 - 601 0304-9825 2008/12 [Refereed][Not invited]
  
• The World of Rhythmic Phenomena(Book Review)

  Nagayama Masaharu

  Bulletin of the Japan Society for Industrial and Applied Mathematics 日本応用数理学会 16 (3) 267 - 268 0917-2270 2006 

  金沢大学大学院自然科学研究科計算科学
• Interacting spots in reaction diffusion systems

  SI Ei, M Mimura, M Nagayama

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14 (1) 31 - 62 1078-0947 2006/01 [Refereed][Not invited]
   

  This paper is concerned with the dynamics of travelling spot solutions in two dimensions. Travelling spot solutions are constructed under the bifurcation structure with Jordan block type degeneracy. It is shown that if the velocity is very slow, such travelling spots possess reflection property. In order to do it, we derive the reduced ordinary differential equations describing the dynamics of interacting travelling spots in RD systems by using center manifold theory. This reduction enables us to prove that two very slowly travelling spots reflect before collision as if they were elastic particles.
• Chemosensitive running droplet

  Y Sumino, H Kitahata, K Yoshikawa, M Nagayama, SM Nomura, N Magome, Y Mori

  PHYSICAL REVIEW E 72 (4) 1 - 41603 1539-3755 2005/10 [Refereed][Not invited]
   

  Chemical control of the spontaneous motion of a reactive oil droplet moving on a glass substrate under an aqueous phase is reported. Experimental results show that the self-motion of an oil droplet is confined on an acid-treated glass surface. The transient behavior of oil-droplet motion is also observed with a high-speed video camera. A mathematical model that incorporates the effect of the glass surface charge is built based on the experimental observation of oil-droplet motion. A numerical simulation of this mathematical model reproduced the essential features concerning confinement of oil droplet motion within a certain chemical territory and also its transient behavior. Our results may shed light on physical aspects of reactive spreading and a chemotaxis in living things.
• Bifurcation of a helical wave from a traveling wave

  T Ikeda, M Nagayama, H Ikeda

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 21 (3) 405 - 424 0916-7005 2004/10 [Refereed][Not invited]
   

  Spin mode instabilities have been observed in solid-state combustion reactions and in propagating fronts of polymerization among others, that is, when some conditions are changed, a planar traveling wave may lose its stability and there appears a planar wave or a helical wave propagating in the form of spiral encircling the cylindrical sample with several reaction spots. In the present paper, we study the existing condition of stable helical waves and the transition process of wave patterns from a static mode to pulsating and/or helical modes. By using a full system of reaction-diffusion equations, we clarify that a stable helical wave can bifurcate directly from a planar traveling wave and that helical waves with different numbers of reaction spots can coexist stably.
• A theoretical and experimental study on the unidirectional motion of a camphor disk

  M Nagayama, S Nakata, Y Doi, Y Hayashima

  PHYSICA D-NONLINEAR PHENOMENA 194 (3-4) 151 - 165 0167-2789 2004/07 [Refereed][Not invited]
   

  The self-sustaining motion of a camphor disk in an annular water channel was investigated. Unidirectional motion along the water channel is maintained after a local perturbation is applied to the system. Introduction of a partition into the channel changes the unidirectional motion into back-and-forth motion. To clarify the nature of the driving force that moves the settling camphor disk, the dependence of the velocity of the disk on the viscosity of the aqueous phase was measured. The experimental results are discussed in relation to the distribution of the camphor layer around the disk as the driving force. The nature of the self-motion is qualitatively reproduced by numerical computations using a mathematical model that incorporates the distribution of the camphor layer around the disk and the viscosity of the aqueous phase. Furthermore, the existence and stability of the unidirectional motion of the camphor disk depending on the viscosity of the aqueous phase are analyzed numerically. (C) 2004 Elsevier B.V. All rights reserved.
• Non-annihilation of travelling pulses in reaction-diffusion systems

  M. Mimura, M. Nagayama, T. Ohta

  Methods and Applications of Analysis 9 (4) 493 - 516 2002/12 [Refereed][Not invited]
  
• On the interior layer appearing in the similarity solutions of the Navier-Stokes equations

  M Nagayama, H Okamoto

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 19 (2) 277 - 300 0916-7005 2002/06 [Refereed][Not invited]
   

  We consider a special class of similarity solutions of the stationary Navier-Stokes equations and prove the existence of the solution for all the Reynolds numbers. We further prove that the solution exhibits interior and boundary layers as the Reynolds number tends to +infinity and -infinity, respectively.
• Pulse-pulse interaction in reaction-diffusion systems

  SI Ei, M Mimura, M Nagayama

  PHYSICA D-NONLINEAR PHENOMENA 165 (3-4) 176 - 198 0167-2789 2002/05 [Refereed][Not invited]
   

  It had been long believed that one-dimensional travelling pulses and the corresponding two-dimensional expanding rings and spiral waves arising in excitable reaction-diffusion systems annihilate when they closely approach one another. However, recently it has been numerically confirmed that if the velocity is very slow, expanding rings and spiral do not necessarily annihilate. In particular, in some situation, two closely approaching pulses reflect, as if they were elastic like objects. By using the center manifold theory, we show that if there are travelling pulses which primarily and super-critic ally bifurcate from a standing pulse when some parameter is varied, they possess reflection mechanism if the velocity is very slow. (C) 2002 Elsevier Science B.V. All rights reserved.
• On the blow-up of some similarity solutions of the Navier-Stokes equations

  M.Nagayama, H.Okamoto, J.Zhu

  Quaderni di Matematica 10 139 - 162 2002 [Refereed][Not invited]
  
• Self-motion of a camphoric acid boat sensitive to the chemical environment

  Y Hayashima, M Nagayama, Y Doi, S Nakata, M Kimura, M Iida

  PHYSICAL CHEMISTRY CHEMICAL PHYSICS 4 (8) 1386 - 1392 1463-9076 2002 [Refereed][Not invited]
   

  As a simple example of an autonomous motor, the characteristic patterns in the self-motion of a camphoric acid boat depending on the chemical environment were investigated at the air/aqueous interface. The uniform motion of a camphoric acid boat changed to intermittent motion and its period increased depending on the concentration of phosphate ions. The nature of the self-motion changed reversibly with the addition of chemical stimuli to the air/aqueous interface. The camphoric acid layer adsorbed on a mica surface was observed by atomic force microscopy (AFM) to investigate how the microscopic state of the camphoric acid layer varied with pH. The nature of the self-motion was reproduced by a numerical calculation in relation to the surface tension, which depends on the surface concentration of the camphoric acid layer.
• Synchronized self-motion of two camphor boats

  MI Kohira, Y Hayashima, M Nagayama, S Nakata

  LANGMUIR 17 (22) 7124 - 7129 0743-7463 2001/10 [Refereed][Not invited]
   

  The synchronized self-motion of two camphor boats was investigated on a circular water route. Two kinds of synchronization, phase-locking and phase-oscillatory modes, could be produced by changing the temperature, the radius of the circular cell, and the mass of each boat. The nature of the synchronization is discussed in relation to the distribution of the camphor layer, which is an important factor in the driving force of self-motion. The essential features of synchronized motion were reproduced by a numerical calculation regarding the spatial distribution of the camphor layer at the air/water interface. We believe that the present results may be useful for realizing artificial motors or chemomechanical transducers, which mimic motor organs or organelles in living organisms under nonlinear and isothermal conditions.
• A camphor grain oscillates while breaking symmetry

  Yuko Hayashima, Masaharu Nagayama, Satoshi Nakata

  Journal of Physical Chemistry B 105 (22) 5353 - 5357 1089-5647 2001/06/07 [Refereed][Not invited]
   

  The self-motion of a camphor grain was investigated on a linear water route. The oscillatory motion along the water route was maintained for ca. 15 cycles. The driving force is discussed in relation to a rhythmic change in the surface tension, which depends on the surface concentration of the camphor layer. The essential features of the self-motion were reproduced by a numerical calculation in relation to the spatial distribution of the camphor layer at the air-water interface.
• Helical Combustion Waves in Self-propagating High-temperature Syntheses

  T.Ikeda, M.Nagayama

  Bulletin of the Japan Society for Industrial and Applied Mathematics 一般社団法人 日本応用数理学会 11 (2) 132 - 140 0917-2270 2001/06 [Refereed][Not invited]
   

  In the present article, we study the existing condition of stable helically propagating combustion wave and transition process of wave patterns. Through our three-dimensional numerical simulation, we get the following results: (1) When physical parameters are fixed so that a combustion wave of steady-state mode is stable in the one-dimensional problem, the planar wave of steady-state mode is stable also in the cylindrical domain. (2) Set physical parameters so that a pulsating wave exists stably for the one-dimensional problem. Then, the planar pulsating wave is still stable in the cylindrical domain if the radius is small while a helical wave takes the place of the pulsating wave if the radius becomes larger. Moreover, we obtain new insights about propagation patterns in the interior of cylindrical domain, differences in propagation patterns between the two-and three-dimensional problems and dependence of propagation patterns on the effective activation energy. The article describes also a finite difference approximation for the Laplacian operator in the cylindrical coordinate.
• Three-dimensional numerical simulation of helically propagating combustion waves

  M Nagayama, T Ikeda, T Ishiwata, N Tamura, M Ohyanagi

  JOURNAL OF MATERIALS SYNTHESIS AND PROCESSING 9 (3) 153 - 163 1064-7562 2001/05 [Refereed][Not invited]
   

  In the present paper, by using a mathematical model for self-propagating high-temperature synthesis, we reveal the three-dimensional structure of so-called spin combustion wave on the inside of cylindrical sample. It is shown that an isothermal surface of regular spin combustion wave has some wings of which number is the same as that of reaction spots on the cylindrical surface and that the isothermal surface with helical wings rotates down with time. Because of this propagating pattern, in this paper, we adopt the more suitable term "helical wave." We also obtain the following existence conditions of a helical wave: If physical parameters are set so that a pulsating wave exists stably for the one-dimensional problem, then a helical wave takes the place of a pulsating wave when the radius of cylindrical sample becomes large.
• Dynamics of travelling breathers arising in reaction-diffusion systems — ODE modelling approach —

  M.Mimura, M.Nagayama, H.Ikeda, T.Ikeda

  Hiroshima Math. J. 広島大学 30 (2) 221 - 256 0018-2079 2000 [Refereed][Not invited]
  
• Singular Hopf-bifurcation in a chemical reaction-diffusion system

  M Mimura, M Nagayama, K Sakamoto

  APPLIED MATHEMATICS LETTERS 11 (4) 127 - 131 0893-9659 1998/07 [Refereed][Not invited]
   

  For a system of reaction-diffusion equations with a small parameter epsilon > 0, modelling spatio-temporal patterns arising in chemical systems, a Hopf-bifurcation of equilibrium solutions with a sharp internal transition layer is established. The Hopf-bifurcation is singular in the sense that it cannot be detected in the singular limit as epsilon --> 0. (C) 1998 Elsevier Science Ltd. All rights reserved.
• Nonannihilation dynamics in an exothermic reaction-diffusion system with mono-stable excitability

  M Mimura, M Nagayama

  CHAOS 7 (4) 817 - 826 1054-1500 1997/12 [Refereed][Not invited]
   

  We consider a 2-component excitable and diffusive system which describes a simple exothermic reaction process. In some parameter regime, there are two characteristics of travelling pulses of the system: (i) travelling pulses are planarly unstable; (ii) when two travelling pulses approach closely, they do not annihilate each other and repel like elastic objects. Under this situation, it is shown that ring patterns break down into complex patterns in 2-dimensions, which are totally different from those arising in the well-known excitable and diffusive system with the FitzHugh-Nagumo nonlinearity. (C) 1997 American Institute of Physics.
• PATTERN DYNAMICS IN AN EXOTHERMIC REACTION

  M MIMURA, M NAGAYAMA, K SAKAMOTO

  PHYSICA D 84 (1-2) 58 - 71 0167-2789 1995/06 [Refereed][Not invited]
   

  A reaction-diffusion system describing simple exothermic reactions is considered in a cylindrical domain. It exhibits a variety of spatio and/or temporal pattern dynamics, which is very sensitive to not only some parameters involved in the system but also to the shape of cross-section of the domain. In order to understand these patterns theoretically, the original problem is reduced to the 1-dimensional one, assuming that the length of the cylindrical domain is sufficiently large. This reduction enables us to treat the system analytically and complementarily numerically from qualitative viewpoints. It is shown that there is a complex structure of asymptotic states of such as regular and irregular oscillations with in-phase and anti-phase modes, depending on some parameters.

MISC

• 塑性変形可能な基底膜モデルを用いた毛包形成メカニズムの数理的考察—A mathematical study of the mechanism of hair follicle formation using a plastic deformable basement membrane model

  奥村 真善美, 小林 康明, 長山 雅晴, 藤原 裕展, 安ヶ平 祐介, 大野 航太  計算工学講演会論文集 = Proceedings of the Conference on Computational Engineering and Science / 日本計算工学会 編  27-  456  -459  2022/06
• Application of mathematical model of the epidermis for the epidermal equivalent model

  大野 航太, 小林 康明, 熊本 淳一, 傳田 光洋, 長山 雅晴  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  26-  360  -364  2021/06
• The epidermis model applied to skin diseases

  大野 航太, 小林 康明, 後藤田 剛, 上坂 正晃, 安ケ平 祐介, 北畑 裕之, 傳田 光洋, 長山 雅晴  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  25-  3p  2020/06
• The flattening of cells in a mathematical model of epidermis structure and shape of cells as polytope

  上坂 正晃, 後藤田 剛, 一本嶋 佐理, 北畑 裕之, 小林 康明, 安ヶ平 裕介, 傳田 光洋, 長山 雅晴  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  24-  5p  2019/05
• The epidermal barrier homeostasis in the mathematical model

  後藤田 剛, 上坂 正晃, 安ケ平 裕介, 小林 康明, 北畑 裕之, 傳田 光洋, 長山 雅晴  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  24-  5p  2019/05
• Mathematical modeling for stable formation of the stratum granulosum and tight junctions in the epidermis

  後藤田 剛, 上坂 正晃, 安ケ平 裕介, 小林 康明, 北畑 裕之, 傳田 光洋, 長山 雅晴  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  23-  5p  2018/06
• Epidermal structure modeling toward the reproduction of dermatological disease

  長山 雅晴, 小林 康明, 安ヶ平 裕介, 熊本 淳一, 傳田 光洋, 北畑 裕之, 中田 聡  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  22-  4p  2017/05
• Complementary study for the mechanism of the noise canceling for wave of differentiation via mathematical modeling and experiment

  田中 吉太郎, 八杉 徹雄, 佐藤 純, 長山 雅晴, 栄 伸一郎  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  22-  5p  2017/05  [Not refereed][Not invited]
  
• Mathematical modeling of an epidermal structure depending on a dermis deformation

  長山 雅晴, 小林 康明, 熊本 淳一, 傳田 光洋, 中田 聡, 北畑 裕之  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  21-  6p  2016/05
• Mathematical modeling of epidermal structure (Numerical Analysis Leading a New Age of Science and Technology)

  Nagayama Masaharu, Kobayash Yasuaki, Sawabu Yusuke, Kubo Misaki, Denda Mitsuhiro, Nakata Satoshi, Kitahata Hiroyuki  RIMS Kokyuroku  1957-  155  -168  2015/07
• Analysis of epidermal structures using a two-variable continuum model

  小林 康明, 北畑 裕之, 長山 雅晴  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  20-  4p  2015/06
• Mathematical modeling of a epidermal structure depending on dermal shape

  長山 雅晴, 小林 康明, 澤武 祐輔  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  20-  6p  2015/06
• DNゲルの強靱性に対する数理的考察

  井倉弓彦, 中島祐, 野々山貴行, 黒川孝幸, GONG Jian Ping, 長山雅晴  高分子学会予稿集(CD-ROM)  63-  (1)  ROMBUNNO.2PD046  2014/05/09  [Not refereed][Not invited]
  
• Coupling between shape and motion of a particle driven by surface tension gradient

  Kitahata Hiroyuki, Iida Keita, Nagayama Masaharu  Meeting abstracts of the Physical Society of Japan  68-  (2)  234  -234  2013/08/26
• Spontaneous Motion of a Camphor Particle : The Relationship between Particle Shape and Motion

  飯田 渓太, 北畑 裕之, 長山 雅晴  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  18-  3p  2013/06
• 19aPSA-20 Motion of an elliptic camphor disk driven by surface tension

  Kitahata Hiroyuki, Iida Keita, Nagayama Masaharu  Meeting abstracts of the Physical Society of Japan  67-  (2)  249  -249  2012/08/24
• Numerical simulation of camphor motions at the air-water interface

  Keita Iida, Hiroyuki Kitahata, Masaharu Nagayama  日本計算工学会講演会論文集  17-  2012/05  [Not refereed][Not invited]
  
• Mathematical models of nonlinear phenomena (Nonlinear Dynamics in Macro-economics)

  NAGAYAMA Masaharu  RIMS Kokyuroku  1768-  109  -118  2011/10
• 表皮細胞間カルシウムイオン波の伝播モデルについて (非線形現象の数理解析と実験解析)

  長山 雅晴, 坂井 昭彦, 傳田 光洋, 堤 も絵, 新妻 真希子, 仲谷 正史, 中田 聡, 北畑 裕之  数理解析研究所講究録  1748-  141  -155  2011/07  [Not refereed][Not invited]
  
• Mathmatical model for the development of stratum corneum

  長山 雅晴, 坂井 昭彦, 中田 聡  計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science  16-  4p  2011/05
• Gray-Scottモデルと発熱反応拡散系に現われるパルス波ダイナミクス (散逸系の数理 : パターンを表現する漸近解の構成)

  長山 雅晴, 矢留 雅亮, 上田 肇一  数理解析研究所講究録  1680-  91  -106  2010/04
• Application of reaction-diffusion equation to biological pattern formation

  三浦 岳, 長山 雅晴  Protein, nucleic acid and enzyme  55-  (1)  114  -122  2010/01
• 機械刺激による表皮細胞間カルシウム伝播の数理モデルについて : 角層再生数理モデルの構成に向けて (第5回生物数学の理論とその応用)

  長山 雅晴, 参納 由実, 傳田 光洋, 堤 も絵, 新妻 真希子, 中田 聡, 北畑 裕之  数理解析研究所講究録  1663-  206  -211  2009/09
• 反応拡散系に対する大域的分岐構造の数値計算法とその応用 (パターンダイナミクスの数理とその周辺)

  矢留 雅亮, 長山 雅晴, 上田 肇一  数理解析研究所講究録  1633-  39  -61  2009/04
• 21aPS-67 Mathematical model and numerical method for the motion of droplet

  Nagayama M., Omata S., Nagai K., Kitahata H.  Meeting abstracts of the Physical Society of Japan  62-  (1)  314  -314  2007/02/28
• 応用数理サマーセミナー 2007 計算ホモロジーとその応用

  石村 直之, 坂上 貴之, 櫻井 鉄也, 長山 雅晴, 奈良 高明, 降旗 大介, 松尾 宇泰  Hokkaido University technical report series in mathematics  124-  1  -1  2007/01/01  [Not refereed][Not invited]
  
• 応用数理サマーセミナー 2006 確率微分方程式

  石村 直之, 石渡 哲哉, 坂上 貴之, 櫻井 鉄也, 長山 雅晴, 奈良 高明, 速水 謙, 降旗 大介, 松尾 宇泰  Hokkaido University technical report series in mathematics  113-  1  -1  2006/01/01  [Not refereed][Not invited]
  
• 19aXL-7 Controlling spontaneous motion of an oil droplet by the surface treatment

  Sumino Y., Nagayama M., Kitahata H., Nomura M., Masome N., Mori Y., Yoshikawa K.  Meeting abstracts of the Physical Society of Japan  60-  (2)  136  -136  2005/08/19
• 27aPS-23 On the bifurcation phenomena for the mathematical model of camphor motion

  Nagayama Masaharu, Nakata Satoshi  Meeting abstracts of the Physical Society of Japan  60-  (1)  323  -323  2005/03/04
• 反応拡散場での粒子運動の数理モデルについて

  長山 雅晴, NAGAYAMA Masaharu  盛岡応用数学小研究集会報告集  2003-  11  -18  2004/01/01  

  界面活性剤の一種である樟脳粒は,樟脳分子を水面上に展開することによって表面張力を変化させ,水面上で自発的に運動することが知られている.最近の実験から,固形樟脳のスイッチング現象,2隻の樟脳舟の引き込み現象,固形カンフェンの間欠運動など,表面張力の変化だけでは理解できない運動が提示された.このような現象を数理的側面から理解するために,Newtonの運動方程式と反応拡散方程式の結合した数理モデルを提出し,樟脳粒の自発的周期運動の機構[1]や樟脳舟の相互作用機構[2]を明らかにした.特に,樟脳舟の相互作用には表面張力の変化によって生じる流れの効果が重要であることがわかった. 最近,水溶液中の化学物質と化学反応を起こす界面活性剤に対する実験において,これまでの樟脳運動では見られない新しい運動が報告された.1つはリン酸緩衝液上での樟脳酸舟の間欠運動であり[3],もう一つは硝酸第一鉄溶液上でのフェナントロリン円盤の間欠運動である[4].この論文では,これらの間欠運動の機構を数理的に理解するために数理モデルを構築し,数値計算によって間欠運動の仕組みを理解することを目標にする.
• Bifurcation of helical wave from traveling wave (Conference on Dynamics of Patterns in Reaction-Diffusion Systems and the Related Topics)

  Ikeda Tsutomu, Nagayama Masaharu, Ikeda Hideo  RIMS Kokyuroku  1330-  40  -55  2003/07
• リン酸緩衝液上での樟脳酸運動の数理モデル (非線形現象の解析 : 実験と数理解析)

  長山 雅晴, 土井 幸重, 中田 聡  数理解析研究所講究録  1313-  159  -166  2003/04
• Numerical simulation of helical waves arising in self-propagating high-temperature syntheses (Interfaces, Pulses and Waves in Nonlinear Dissipative Systems : RIMS Project 2000 "Reaction-diffusion systems : theory and applications")

  Ikeda Tsutomu, Nagayama Masaharu  RIMS Kokyuroku  1191-  43  -50  2001/02
• 反応拡散系に現れる螺旋進行波について (反応拡散系 : 生物・化学における現象とモデル)

  長山 雅晴, 池田 勉, 石渡 哲哉, 田村 則和  数理解析研究所講究録  1167-  13  -24  2000/08

Presentations

• 毛包形成の数理モデリング

  香川渓一郎, 奥村真善美, 小林康明, Duligengaowa Wuergezhen, 森田梨津子, 藤原裕展, 長山雅晴

  応用数学合同研究集会、（龍谷大学、滋賀県大津市）
• バクテリアコロニー形成モデルの構築を目指して

  村田涼, 田崎創平, 中山まどか, 長山雅晴

  応用数学合同研究集会、（龍谷大学、滋賀県大津市）
• グルコース・インスリンダイナミクスを記述する 9-コンパートメント体循環数理モデルに対するパラメータ推定と解析

  Eom Junyong, Gao Yueyuan, 長山雅晴, 中岡慎治, 水藤寛, 久米真司, 片桐秀樹

  応用数学合同研究集会，(龍谷大学,]滋賀県大津市)
• Mathematical Modeling of Hair Follicle Morphogenesis Mechanism

  Keiichiro Kagawa, Makoto Okumura, Yasuaki Kobayashi, Duligengaowa Wuergezhen, Ritsuko Morita, Hironobu Fujiwara, Masaharu Nagayama

  RIES-CEFMS Joint International Symposium (Rusutsu)
• Study of Hair Follicle Morphogenesis Mechanism Using Mathematical Modeling

  Keiichiro Kagawa, Makoto Okumura, Yasuaki Kobayashi, Duligengaowa Wuergezhen, Ritsuko Morita, Hironobu Fujiwara, Masaharu Nagayama

  The 24th RIES-HOKUDAI International Symposium (Hokkaido University,Sapporo)  2023/12
• 9-compartment mathematical model and its parameter estimation for glucose-insulin dynamics

  Junyong Eom, Yueyuan Gao, Sinji Nakaoka, Hiroshi Suito, Hideki, Katagiri, Masaharu Nagayama

  The 24th RIES-HOKUDAI International Symposium (Hokkaido University,Sapporo)  2023/12
• 反応拡散系に自己駆動体運動モデルについて

  長山雅晴, 榊原航也, 物部治徳, 高棹圭介, 中村健一, 小林康明, 北畑裕之

  第3回はこだて現象数理研究集会、（はこだて未来大学、函館市）
• Reaction-diffusion type modeling of the self-propelled motion  [Invited]

  Masaharu Nagayama

  International Conference on Recent Developments of Theory and Methods in Mathematical Biology, （National Taiwan University, Taipei),
• 新時代における高性能科学技術計算法の探究，京都大学（京都市）

  長山雅晴, 榊原航也, 物部治徳, 中村健一, 小林康明, 北畑裕之

  One Day Workshop on Mathematical Analysis in Hakodate, （はこだて未来大学、函館市）  2023/10
• 毛包形成メカニズムの解明に向けた数理モデリングからの挑戦

  長山雅晴, 香川渓一朗, 奥村真善美, 藤原裕展, 森田 梨津子, Wuergezhen Duligengaowa

  新時代における高性能科学技術計算法の探究 (京都大学,京都市）
• 毛包形成の数理モデリング

  香川渓一郎, 奥村真善美, 小林康明, Duligengaowa Wuergezhen, 森田梨津子, 藤原裕展, 長山雅晴

  応用数理研究会、（休暇村千里浜、石川県羽咋市）
• バクテリアコロニー形成モデルの構築を目指して

  バクテリアコロニー形成モデルの構築を目指して

  応用数理研究会（休暇村千里浜、石川県羽咋市）
• グルコース、インスリンダイナミクスを記述する９コンパートメント体循環数理モデルのパラメータ推定と解析

  Eom Junyung, Gao Yueyuan, 中岡慎治, 水藤寛, 片桐秀樹, 長山雅晴

  応用数理研究会 （休暇村千里浜,石川県羽咋市）
• グルコース、インスリンダイナミクスを記述する９コンパートメント体循環数理モデルのパラメータ推定と解析

  Eom Junyung, Gao Yueyuan, 中岡慎治, 水藤寛, 片桐秀樹, 長山雅晴

  札幌非線形現象研究会2023（北海道大学 、札幌市)，
• Parameter estimation of the compartmental model of systemic circulation describing the Glucose

  Yueyuan Gao, Hiroshi Suito, Hayato Chiba, Hideki Katagiri, Masaharu Nagayama

  ICIAM2023, Mini-symposium (Computational Biology)（ Waseda University 、Tokyo）
• Mathematical investigation into the mechanism of hair follicle morphogenesis

  Masaharu Nagayama, Makoto Okumura, Kei-Ichiro Kagawa, Yasuaki Kobayashi, Hironobu Fujiwara, Ritsuko Morita, Duligengaowa Wuergezhen

  ICIAM2023, Mini-symposium (Computational Biology), (Waseda University,Tokyo)
• On a Numerical Bifurcation Analysis of a Particle-Reaction-Diffusion Model for a Motion of Two Self-Propelled Disks

  Masaharu Nagayama

  he 13th AIMS conference series on Dynamical Systems and Differential Equations,
• Phase-Field Approximation Model for a Self-Propelled Motion,  [Invited]

  Phase-Field Approximation Model for a Self-Propelled Motion

  The 13th AIMS conference series on Dynamical Systems and Differential Equations
• ある細胞接着タンパクの分解酵素を考慮した角層剥離モデル

  小林康明, 後藤真紀子, 宮井雅史, 中西忍, 菅原美郷

  第28回計算工学講演会 （つくば国際会議場、つくば市）
• グルコース, インスリンとC-ペプチドのダイナミクスを記述するコンパートメ ント体循環モデルのパラメータ推定

  Gao Yueyuan, 水藤 寛, 千葉 逸人, 長山 雅晴, 片桐 秀樹

  第28回計算工学講演会;つ;国際会議場。つくば
• Mathematical modeling of a self-propelled materials motion and its mathematical analysis

  Makoto Okumura, Masaharu Nagayama, Yasuaki Kobayashi, Hironobu Fujiwara, Ritsuko Morita, Duligengaowa Wuergezhen

  nternational Symposium on Skin Stem Cell Dynamics
• Mathematical modeling of a self-propelled materials motion and its mathematical analysis

  Masaharu Nagayama

  Prediction science seminar  2023/04
• グルコース, インスリンとC-ペプチドのダイナミクスを記述するコンパートメ ント体循環モデルのパラメータ推定

  Gao Yueyuan, 長山雅晴, 水藤寛, 千葉逸人, 片桐秀樹

  北陸応用数理研究会2023（石川県しいきのき迎賓館、金沢市）
• 自己駆動体運動に対する反応拡散系モデル

  長山雅晴, 榊原航也, 物部治徳, 中村健一, 小林康明, 北畑裕之

  神戸非線形解析研究会（神戸国際会館 神戸市）
• 毛包形成メカニズムの解明に向けた数理モデリングからの挑戦

  奥村真善美, 小林康明, 長山雅晴, 藤原裕展, 森田 梨津子, Wuergezhen Duligengaowa

  2023年度日本数学会年会
• グルコース, インスリンとC-ペプチドのダイナミクスを記述するコンパートメ ント体循環モデルのパラメータ推定

  Gao Yueyuan, 水藤 寛, 千葉 逸人, 長山 雅晴, 片桐 秀樹

  数学と諸分野の連携に向けた若手数学交流会（第４回）２０２３  2023/03
• グルコース, インスリンとC-ペプチドのダイナミクスを記述するコンパートメ ント体循環モデルのパラメータ推定

  Gao Yueyuan, 長山雅晴, 水藤寛, 千葉逸人, 片桐秀樹

  日本応用数理学会 第19回研究部会連合発表会（岡山理科大学、岡山市）
• 毛包形成メカニズムの解明に向けた数理モデリングからの挑戦

  奥村真善美, 小林康明, 長山雅晴, 藤原裕展, 森田 梨津子, Wuergezhen Duligengaowa

  日本応用数理学会 第19回研究部会連合発表会 （岡山理科大学、岡山市）
• 毛包のシリンダー構造を再現する数値シミュレーションとその考察

  奥村真善美, 小林康明, 長山雅晴, 藤原裕展, 安ヶ平祐介, 大野 航太

  2022年度応用数学合同研究集会  2022/12
• MCMCを用いた汚水処理数理モデルのパラメータ推定

  澁木皓太, 長山雅晴, 福島寿和, 中川淳一, Gao Yueyuan

  2022年度応用数学合同研究集会  2022/12
• グルコース、インスリンとC-ペプチドのダイナミクスを記述するコンパートメント体循環モデルのパラメータ推定

  Gao Yueyuan, 長山雅晴, 水藤寛, 千葉逸人, 片桐秀樹

  2022年度応用数学合同研究集会
• 表皮構造の数理モデルとその応用

  長山雅晴

  第14回医数物連携勉強会合同セミナー  2022/12
• Numerical simulations and mathematical consideration for reproducing the cylinder structure of hair follicles

  Makoto Okumura, Yasuaki Kobayashi, Masaharu Nagayama, Hironobu Fujiwara, Yusuke Yasugahira, Kota Ohno

  The 23rd RIES-HOKUDAI International Symposium
• 現象の数理モデリングとその応用  [Invited]

  長山雅晴

  2022年度武蔵野大学 数理工学シンポジウム
• 自己駆動体運動を記述する反応拡散系モデルについて

  長山雅晴

  京都大学応用数学セミナー  2022/11
• 自己駆動体運動に対する反応拡散系モデルについて

  長山雅晴, 物部治徳, 榊原航也, 中村健一, 北畑裕之, 小林康明

  2022年度日本数学会秋季総合分科会
• 塑性変形可能な基底膜モデルを用いた毛包のシリンダー構造の再現

  奥村真善美, 小林康明, 長山雅晴, 藤原裕展, 安ヶ平祐介, 大野 航太

  2022年度日本数学会秋季総合分科会
• グルコース、インスリンとCペプチドのダイナミクスを記述するコンパートメント体循環モデルのパラメータ推定

  Gao Yueyuan, 長山雅晴, 水藤寛, 千葉逸人, 片桐秀樹

  第16回応用数理研究会
• MCMCを用いた汚水処理数理モデルのパラメータ推定

  澁木皓太, 長山雅晴, Gao Yueyuan

  第16回応用数理研究会
• 毛包構造の再現に向けた基底膜大変形モデルによる数値シミュレーション

  奥村 真善美, 小林康明, 長山雅晴, 藤原裕展, 安ヶ平祐介, 大野 航太

  第16回応用数理研究会
• 塑性変形可能な基底膜モデルを用いた毛包形成メカニズムの数理的考察

  奥村 真善美, 小林 康明, 長山 雅晴, 藤原 裕展, 安ヶ平 裕介, 大野 航太

  第27回計算工学講演会
• 非線形現象に対する数理モデリングとその応用

  長山雅晴

  アライアンスキックオフシンポジウム（オンライン）  2022/05
• 自己駆動体運動に対する反応拡散系モデル

  長山雅晴, 榊原航也, 物部治徳, 森篤志, 小林康明, 北畑裕之

  徳島応用解析小研究集会  2022/04
• 自己駆動体運動に対する反応拡散系モデル  [Not invited]

  長山雅晴, 榊原航也, 物部治徳, 森篤志, 小林康明, 北畑裕之

  岡山応用数学セミナー  2022/04
• 2 つの自己駆動体運動を記述する反応拡散-粒子モデルに対する数値分岐 解析について  [Not invited]

  長山雅晴, 安ヶ平裕介

  2022年度日本数学会年会
• 変形する自己駆動系に対する界面モデルの数値計  [Not invited]

  榊原航也, 長山雅晴, 物部治徳

  2022年度日本数学会年会
• 基底膜大変形モデルを用いた毛包形成メカニズムの数理的考察とその周辺  [Not invited]

  奥村真善美, 小林康明, 長山雅晴, 藤原裕展, 安ヶ平裕介

  奥村真善美，小林康明，長山雅晴，藤原裕展，安ヶ平裕介  2022/03
• Phase-Fieldモデルを用いた自己駆動体運動モデル  [Not invited]

  長山 雅晴, 物部治徳, 榊原航也, 小林康明, 北畑裕之

  非線形現象の数値シミュレーションと解析2022
• 基底膜大変形モデルによる毛包形成メカニズムの数理的考察  [Not invited]

  奥村真善美, 小林康明, 長山雅晴, 藤原裕展, 安ヶ平裕介

  2022年度日本数学会年会
• 毛包形成メカニズムの数理的考察  [Not invited]

  奥村真善美, 小林康明, 長山雅晴, 藤原裕展

  2021年度応用数学合同研究集会
• A Computational Model of the Epidermis With the Deformable Dermis and Its Application to Skin Diseases  [Not invited]

  Yasuaki Kobayashi, Kota Ohno, Masaaki Uesaka, Takeshi Gotoda, Mitsuhiro Denda, Hideyuki Kosumi, Mika Watanabe, Ken Natsuga, Masaharu Nagayama

  The 22st RIES-HOKUDAI International Symposium “Yu”
• 自己駆動液滴の集合現象に対する数理モデリング

  長山雅晴, Minsoo Kim, 小林康明, 中田聡, 田中晋平

  2021年度日本数学会秋季総合分科会（オンライン
• 表皮構造の数理モデルにおける基底膜形状と培養皮膚への応用

  大野航太, 小林康明, 熊本淳一, 傳田光洋, 山雅晴

  第26回計算工学講演会（オンライン）
• 真皮の塑性変形と形態形成の数理モデル構築

  小林康明, 大野航太, 山雅晴

  第26回計算工学講演会（オンライン開催）
• 体積保存反応拡散系による自己駆動系モデル近似

  長山雅晴, 森篤志, 岡本守

  日本数学会2021年度年会（オンライン）
• 表バリア機能を持つ数理モデルへの挑戦

  長山雅晴, 小林康明, 大野航太, 安ヶ平祐介, 後藤田剛, 上坂正晃, 傳田光洋, 堤も絵, 後藤真紀子, 熊本淳一, 一本嶋佐理, 中田聡, 北畑弘之

  第8回皮膚の会(オンライン)
• 粒子反応拡散モデルの数学的取り扱いについて

  岡本守, 後藤田剛, 長山雅晴

  応用数学合同研究集会（オンライン）)
• A mathematical model for clustering of oil droplets on a surfactant solution

  Minsoo Kim, 岡本守, 安ヶ平祐介, 中田聡, 田中晋平, 小林康明, 長山雅晴

  応用数学合同研究集会（オンライン）
• 微生物を用いた汚水処理の数理モデル

  松永哲, 岡本守, 福島寿和, 中川淳一, 長山雅晴

  応用数学合同研究集会（オンライン）
• 表皮構造の数理モデルにおける基底膜形状と培養皮膚への応用

  大野航太, 小林康明, 熊本淳一, 長山雅晴

  応用数学合同研究集会（オンライン)
• 真皮の塑性変形と形態形成の数理モデル構築

  小林康明, 長山雅晴

  応用数学合同研究集会（オンライン)
• Mathematical Modeling for Biological Wastewater Treatment

  Satoshi Matsunaga, Mamoru Okamoto, Toshikazu Fukushima, Jun-ichi Nakagaya, Masaharu Nagayama

  The 21th RIES-HOKUDAI International Symposium “Ma” (Online)
• JSPS Core-to-Core Program “Establishing International Research Network of Mathematical Oncology” (Online)

  森篤志, 岡本守, 長山雅晴

  明治非線型数理セミナー・秋の学校（オンライン）
• Mathematical modeling of epidermal structure  [Invited]

  Masaharu Nagayama

  JSPS Core-to-Core Program “Establishing International Research Network of Mathematical Oncology” (Online)
• 微生物を用いた工業排水処理の数理モデル

  松永哲, 岡本守, 長山雅晴

  第６回北大・部局横断シンポジウム「生命科学と物質化学の融合を目指して！」（オンライン）  2020/10
• 自励往復運動する自己駆動体に対する数理モデリング  [Not invited]

  長山雅晴, 佐藤優祐, 中田聡

  日本数学会2020年度秋季総合分科会（オンデマンド）
• 真皮の塑性変形と形態形成の数理モデル構築  [Not invited]

  小林康明, 安ヶ平祐介, 大野航太, 長山雅晴

  日本応用数理学会2020年度年会（オンライン）)  2020/09
• バリア機能を有する表皮数理モデルとその応用  [Not invited]

  大野航太, 安ヶ平祐介, 北畑裕之, 熊本淳一, 夏賀健, 傳田光洋, 長山雅晴

  日本応用数理学会2020年度年会（オンライン）
• On a mathematical treatment of a particle-reaction-diffusion model  [Not invited]

  岡本守, 後藤田剛, 長山雅晴

  応用数理研究会  2020/09
• 数理モデルを用いた工業排水処理プロセスの性能予測について  [Not invited]

  松永哲, 岡本守, 長山雅晴

  松永哲，岡本守，長山雅晴  2020/09
• 表皮数理モデルとその応用  [Not invited]

  大野航太, 安ヶ平祐介, 小林康明, 長山雅晴

  応用数理研究会  2020/09
• 変形する自己駆動体運動を記述する数理モデルを目指した Phase-Field近似について

  長山雅晴, 森篤志, 岡本守

  非線形現象の数値シミュレーションと解析に関する研究情報交流会
• 表皮の数理モデル

  長山雅晴, 小林康明, 大野航太, 安ヶ平祐介, 後藤田剛, 上坂正晃, 傳田光洋, 堤も絵, 後藤真紀子, 熊本淳一, 一本嶋佐理, 中田聡, 北畑弘之

  反応拡散系と実験の融合3
• 表皮構造モデルを用いた皮膚疾患再現

  大野航太, 小林康明, 安ヶ平祐介, 傳田光洋, 長山雅晴

  北陸応用数理研究会2020
• 樟脳円板の運動を記述する数理モデルに対する数学解析

  岡本守, 後藤田剛, 長山雅晴

  北陸応用数理研究会2020
• 自己駆動系モデルに対する体積保存フェーズフィールド方程式近似

  岡本守, 森篤志, 長山雅晴

  北陸応用数理研究会2020
• 表皮構造の数理モデルを用いた皮膚疾患への応用

  大野航太, 小林康明, 後藤田剛, 安ヶ平祐介, 北畑裕之, 長山雅晴

  応用数学合同研究集会
• Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model

  岡本守, 後藤田剛, 長山雅晴

  応用数学合同研究集会
• Interplay between epidermal stem cell dynamics and dermal deformation

  Y. Kobayashi, Y. Yasugahira, H. Kitahata, M. Watanabe, K. Natsuga, M. Nagayama

  The 20th RIES-HOKUDAI International Symposium “Ki”
• Mathematical model for the epidermis

  Kohta Ohno

  The 20th RIES-HOKUDAI International Symposium “Ki”
• Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model

  Mamoru Okamoto, Takeshi Gotoda, Masaharu Nagayama

  The 20th RIES-HOKUDAI International Symposium “Ki”
• Analysis Of The Phase-field Model Of Camphor Movement

  Shen Anlu

  The 20th RIES-HOKUDAI International Symposium “Ki”
• In vivo selective removal of the epidermis unveils the dynamics of epithelial wound healing

  Y. Fujimura, K. Natsuga, M. Watanabe, H. Iwata, W. Nishie, H. Nakamura, M. Nagayama, G. Donati, H. Shimizu

  44th Annual Meeting of the Japanese Society for Investigative Dermatology  2019
• 表皮幹細胞ダイナミクスと真皮形状変形の相互作用

  小林康明, 安ヶ平祐介, 北畑裕之, 渡邉美佳, 夏賀健, 長山雅晴

  第5回北海道大学部局横断シンポジウム  2019/11
• Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model

  岡本守, 後藤田剛, 長山雅晴

  第5回北海道大学部局横断シンポジウム  2019/11
• Mathematical modeling of a self-propelled motion, and its application  [Invited]

  M. Nagayama

  China-Japan Workshop for Younger Researchers on Nonlinear Diffusion Equations
• Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model

  M. Okamoto, T. Gotoda, M. Nagayama

  China-Japan Workshop for Younger Researchers on Nonlinear Diffusion Equations,
• Mathematical modeling for a self-propelled boat with chemical reaction  [Invited]

  M. Nagayama

  2019/10
• 数理モデルを利用したヒト培養表皮モデルの高機能化

  熊本淳一, 長山雅晴, 傳田光洋

  研究会「皮膚科学と数理科学の接点」  2019/10
• 表皮内タイトジャンクション形成の数理モデル

  大野航太, 小林康明, 後藤田剛, 上坂正晃, 安ヶ平祐介, 北畑裕之, 傳田光洋, 長山雅晴

  研究会「皮膚科学と数理科学の接点」  2019/10
• ヒト表皮モデルを用いたケラチノサイト最終分化過程の３次元ライブイメージング

  一本嶋佐理

  研究会「皮膚科学と数理科学の接点」  2019/10
• Both spatial and temporal patterns of sensory afferents activity may explain the geometric perception in the fishbone tactile illusion

  M. Nakatani, M. Uesaka, S. Mogami, Z. Zhao, T. Sushida, H. Kitahata, M. Nagayama

  2019 Neuroscience Meeting  2019/10
• Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model

  M. Okamoto, T. Gotoda, M. Nagayama

  ReaDiNet 2019  2019/09
• Theoretical analysis of a mathematical model for a self-propelled motion  [Invited]

  M. Nagayama, ◯M. Okamoto, T. Gotoda, Y. Yasugahira, Y. S. Ikura, S.Nakata

  ReaDiNet 2019
• Selective epidermal removal is a robust platform for understanding context-dependent epithelial cell activation

  Y. Fujimura, K. Natsuga, M. Watanabe, H. Iwata, W. Nishie, H. Nakamura, M. Nagayama, G. Donati, H. Shimizu

  49th Annual Meeting of European Society for Dermatological Research
• Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model  [Not invited]

  岡本守, 後藤田剛, 長山雅晴

  応用数理研究会
• ベイズ推定を用いた数理モデルのパラメータ推定方法の考察  [Not invited]

  松永哲, 長山雅晴, 上坂正晃, 岡本守

  第13回応用数理研究会
• 樟脳運動のフェーズ・フィールドモデルについて  [Not invited]

  沈案鷺, 岡本守, 長山雅晴

  応用数理研究会
• 液滴集団運動の数理モデルについて  [Not invited]

  Kim Minsoo, 田中晋平, 中田聡, 岡本守, 長山雅晴

  応用数理研究会
• 表皮内タイトジャンクション形成の数理モデル  [Not invited]

  小林康明, 後藤田剛, 長山雅晴

  日本応用数理学会2019年度年会  2019/09
• Both spatial and temporal patterns of sensory afferents activity may explain the geometric perception in the fishbone tactile illusion  [Not invited]

  仲谷 正史, 上坂 正晃, 最上 紗也子, 趙 子夏, 須志田 隆道, 北畑 裕之, 長山 雅晴

  日本応用数理学会2019年度年会  2019/09
• 数理モデルを利用したヒト培養表皮モデルの高機能化  [Not invited]

  熊本 淳一, 長山雅晴, 傳田光洋

  日本応用数理学会2019年度年会  2019/09
• Existence and stability of symmetric solutions of a variational problem for plane curves  [Not invited]

  中村健一, 上坂 正晃, 上田 肇一, 長山雅晴

  日本応用数理学会2019年度学会  2019
• Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model  [Not invited]

  岡本守, 後藤田剛, 長山雅晴

  日本応用数理学会
• Existence and non-existence of the asymmetrical rotational solution of the reaction-diffusion particle model

  岡本守, 後藤田剛, 長山雅晴

  札幌非線形研究会2019
• ベイズ推定を用いた数理モデルのパラメータ推定方法の考察  [Not invited]

  松永哲, 長山雅晴, 上坂正晃, 岡本守

  札幌非線形現象研究会2019  2019/08
• Non-trivial traveling wave solution of a particle-reaction-diffusion equation  [Not invited]

  M. Okamoto, T. Gotoda, M. Nagayama.

  Mini-Workshop of Dynamics of localized patterns for reaction-diffusion systems and related topics  2019/08
• Mathematical modeling for the homeostasis of the epidermal barrier function  [Not invited]

  M. Nagayama, Y. Kobayashi, K. Ohno, Y. Yasugahira, T.Gotoda, M. Uesaka, M.Denda, S. Nakata, H. Kitahata

  International Congress on Industrial and Applied Mathematics
• 表皮構造の数理モデルにおける細胞の扁平化と細胞の多面体形状について

  上坂 正晃, 後藤田 剛, 一本嶋 佐理, 北畑 裕之, 小林 康明, 安ヶ平 裕介, 傳田 光洋, 長山 雅晴

  第24回計算工学講演会
• 表皮数理モデルにおける皮膚バリア機能の恒常性  [Not invited]

  後藤田剛, 上坂正晃, 安ケ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  第24回計算工学講演会
• Interplay between epidermal stem cell dynamics and dermal deformation

  Y. Kobayashi, Y. Yasugahira, H. Kitahata, M. Watanabe, K. Natsuga, M. Nagayama

  Japan-Singapore Skin Research Conference 2019
• 化学反応の数理モデリング

  長山雅晴

  非線形現象の数理解析
• 表皮数理モデルにおける層構造と皮膚バリア機能,

  後藤田剛, 上坂正晃, 安ケ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  日本数学会2019年度年会
• 双安定反応拡散系の分岐数値計算

  長山雅晴

  反応拡散系のパターンダイナミクス
• (non-)Existence of (a)symmetrically rotating solution for a mathematical model of self-propulsion

  岡本守, 後藤田剛, 長山雅晴

  第20回北東数学解析研究会
• 2次元樟脳運動モデルの時間局所適切性と短時間近似解の構成

  上坂正晃, 中村玄, 長山雅晴

  北陸応用数理研究会2019
• 1次元反応拡散-粒子モデルに対する大域的分岐構造の数値解法とその応用

  安ヶ平裕介, 岡本守, 長山雅晴

  応用数学合同研究集会
• 液滴集団の運動遷移プロセスに対する数理解析

  毛利光希, 田中晋平, 中田聡, 住野豊, 長山雅晴

  応用数学合同研究集会
• 円環水路上に現れる樟脳円板のクラスター運動に対する数学解析

  岡本守, 後藤田剛, 長山雅晴

  応用数学合同研究集会
• 表皮基底膜の数理モデリングに由来する変分問題とその解析

  上坂正晃, 上田肇一, 中村健一, 小林康明, 長山雅晴

  応用数学合同研究集会
• 表皮数理モデルにおける皮膚バリア機能と層構造の安定性

  後藤田剛, 上坂正晃, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  応用数学合同研究集会
• Mathematical modeling for the stable layer structure of epidermis  [Not invited]

  Takeshi Gotoda, Masaaki Uesaka, Yusuke Yasugahira, Yasuaki Kobayashi, Hiroyuki Kitahata, Mitsuhiro Denda, Masaharu Nagayama

  The 19th RIES-HOKUDAI International Symposium “So”
• (non-)Existence of (a)symmetrically rotating solution for a mathematical model of self-propulsion  [Not invited]

  Mamoru Okamoto, Takeshi Gotoda, Masaharu Nagayama

  The 19th RIES-HOKUDAI International Symposium “So”
• A numerical method for bifurcations of one-dimensional reaction-diffusion particles system and its applications  [Not invited]

  Yusuke Yasugahira, Mamoru Okamoto, Masaharu Nagayama

  The 19th RIES-Hokudai International Symposium “So”
• Mathematical modeling for a transition process of some collective motions of droplets  [Not invited]

  M. Mori, S. Tanaka, S. Nakata, Y. Sumino, M. Nagayama

  The 19th RIES-Hokudai International Symposium “So”
• Theoretical analysis for a mathematical model of a self-propelled motion  [Not invited]

  Masaharu Nagayama, M. Okamoto, Y. Yasugahira, T. Gotoda, S.Nakata

  2018 China-Japan Workshop on Nonlinear Diffusion Problems
• The well-posedness and its short-time asymptotics of the reaction-diffusion-particle model for the camphor motion in two dimension  [Invited]

  Masaaki Uesaka, G. Nakamura, M.Nagayama

  2018 China-Japan Workshop on Nonlinear Diffusion Problems
• A variational problem arising from the modeling of epidermal basement mem- brane and its analysis  [Invited]

  Masaaki. Uesaka, K.-I. Ueda, K.-I. Nakamura, Y. Kobayashi, M. Nagayama

  A3 Foresight Program The 5th Joint Workshop, Mathematics of Biology, Fluid Dynamics and Material Sciences
• 角層剥離の数理モデリング  [Not invited]

  後藤田剛, 上坂正晃, 安ヶ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  日本数学会秋期総合分科会  2018/09
• 非線形現象の数理モデルを作ろう  [Not invited]

  長山 雅晴

  日本数学会秋期総合分科会（市民講演会）  2018/09
• 表皮構造の数理モデルにおける細胞の扁平化と安定な角層形成について  [Not invited]

  上坂正晃, 後藤田剛, 安ヶ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  RIMS研究集会「第15回 生物数学の理論とその応用 -次世代の数理科学への展開-」  2018/09
• 表皮構造の恒常性について  [Not invited]

  長山雅晴, 上坂正晃, 後藤田剛, 安ヶ平裕介, 小林康明, 北畑裕之, 傳田光洋

  RIMS研究集会「第15回 生物数学の理論とその応用 -次世代の数理科学への展開-」  2018/09
• 円環水路上に現れる樟脳円版のクラスター運動に対する数学解析  [Not invited]

  岡本守, 後藤田剛, 長山雅晴

  日本応用数理学会年会2018  2018/09
• 反応拡散ｰ粒子モデルに対する大域的分岐構造の数値解法とその応用  [Not invited]

  安ヶ平裕介, 岡本守, 長山雅晴

  応用数理研究会  2018/08
• Fishbone触錯覚に対する数理的アプローチと心理学実験による検証  [Not invited]

  沈安鷺, 上坂正晃, 仲谷正史, 長山雅晴

  応用数理研究会  2018/08
• 円環水路上に現れる樟脳円版のクラスター運動に対する数学解析  [Not invited]

  岡本守, 後藤田剛, 長山雅晴

  応用数理研究会  2018/08
• 表皮における層構造の安定化の数理モデリング  [Not invited]

  後藤田剛, 上坂正晃, 長山雅晴

  応用数理研究会  2018/08
• 表皮基底膜の変分問題によるモデル化とその数学解析  [Not invited]

  上坂正晃, 上田肇一, 中村健一, 長山雅晴

  応用数理研究会  2018/08
• 自己駆動系モデルの数値分岐計算  [Not invited]

  長山雅晴, 岡本守, 後藤田剛, 安ヶ平裕介

  常微分方程式の数値解析とその周辺2018  2018/07
• Theoretical analysis of a mathematical model for a self-propelled motion  [Invited]

  NAGAYAMA Masaharu

  The 12th AIMS Conference on Dynamical systems, Differential Equations and Applications  2018/07
• A mathematical modeling of sensory receptors in skin toward understanding a tactile illusion  [Not invited]

  Masaaki Uesaka, Hiroyuki Kitahata, Zixia Zhao, Masashi Nakatani, Masaharu Nagayama

  13th SIAM East Asian Section Conference 2018  2018/06
• Mathematical modeling for stabilization of stratum granulosum and epidermal desquamation  [Not invited]

  Takeshi Gotoda, Masaaki Uesaka, Yusuke Yasugahira, Yasuaki Kobayashi, Hiroyuki Kitahata, Mitsuhiro Denda, Masaharu Nagayama

  13th EASIAM2018, University of Tokyo  2018/06
• The collective motion of camphor disks in a annular water channel  [Not invited]

  Mamoru Okamoto, Takeshi Gotoda, Masaharu Nagayama

  13th SIAM East Asian Section Conference 2018  2018/06
• 表皮における顆粒層の安定化とタイトジャンクション形成の数理モデリング  [Not invited]

  後藤田剛, 上坂正晃, 安ケ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  第23回計算工学講演会  2018/06
• 自走粒子運動の数理解析  [Not invited]

  長山 雅晴

  第71回京都駅前セミナー  2018/05
• Live imaging of granular cells during cornification in the epidermal equivalent model  [Not invited]

  Sari Ipponjima, Yuki Umino, Masaharu Nagayama, Mitsuhiro Denda

  International Investigative Dermatology 2018  2018/05
• 表皮構造の数理モデルにおける顆粒層の安定化とタイトジャンクション形成への取り組み  [Not invited]

  後藤田剛, 上坂正晃, 安ケ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  日本数学会2018年度年会  2018/03
• 皮膚感覚受容器の数理モデルによる触錯覚現象へのアプローチ  [Not invited]

  長山 雅晴

  非線形現象の数値シミュレーションと解析2018  2018/03
• 表皮構造の数理モデル  [Not invited]

  長山 雅晴

  研究集会「反応拡散系と実験の融合」  2018/02
• 自走粒子運動の数理モデル  [Not invited]

  長山 雅晴

  2018 軽井沢グラフと解析研究集会  2018/02
• 表皮構造の数理モデルにおける顆粒層の安定形成（ポスター発表）  [Not invited]

  後藤田剛, 上坂正晃, 安ヶ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  CREST・さきがけ数学関連領域合同シンポジウム「数学パワーが世界を変える2018」  2018/01
• 皮膚感覚受容器の数理モデルによる触錯覚現象へのアプローチ（ポスター発表）  [Not invited]

  上坂正晃, 趙子夏, 仲谷正史, 北畑裕之, 長山雅晴

  CREST・さきがけ数学関連領域合同シンポジウム「数学パワーが世界を変える2018」  2018/01
• 数理シミュレーションから導き出された高機能表皮モデルの開発（ポスター発表）  [Not invited]

  熊本淳一, 上坂正晃, 安ヶ平裕介, 小林康明, 北畑裕之, 傳田澄美子, 傳田光洋, 長山雅晴

  CREST・さきがけ数学関連領域合同シンポジウム「数学パワーが世界を変える2018」  2018/01
• 角化の際に生じる顆粒細胞の形態変化とオルガネラのタイムラプスイメージング（ポスター発表）  [Not invited]

  一本嶋佐理, 海野佑樹, 長山雅晴, 傳田光洋

  CREST・さきがけ数学関連領域合同シンポジウム「数学パワーが世界を変える2018」  2018/01
• 対流の効果を含む界面活性剤系自走粒子の自律運動に関する数理モデル  [Not invited]

  岡本守, 長山雅晴

  応用数学合同研究集会  2017/12
• 皮膚感覚受容器の触刺激応答に関する数理モデル  [Not invited]

  趙子夏, 上坂正晃, 仲谷正史, 北畑裕之, 長山雅晴

  応用数学合同研究集会  2017/12
• 表皮構造の数理モデルにおける顆粒層の形成  [Not invited]

  後藤田剛, 上坂正晃, 安ヶ平裕介, 小林康明, 北畑裕之, 傳田光洋, 長山雅晴

  応用数学合同研究集会  2017/12
• 自己駆動粒子の集団運動に対する数理解析  [Not invited]

  長山 雅晴

  函館応用数理解析セミナー  2017/12
• Mathematical model including fluid’s effect of camphor disk’s self-motion  [Not invited]

  M. Okamoto, M. Nagayama

  The 18th RIES-Hokudai International Symposium “Kyoku” (Poster Presentation)  2017/11
• Mathematical modeling study for understanding noise resistance in the wave of differentiation in fly brain  [Not invited]

  Y Tanaka, T. Yasugi, M. Nagayama, M Sato, S.-I. Ei

  The 18th RIES-Hokudai International Symposium “Kyoku” (Poster Presentation)  2017/11
• The mathematical model for the tactile stimulus response of the skin sensory receptor  [Not invited]

  Zixia Zhao, M. Nagayama, M. Uesaka, M. Nakatani, H. Kitahata

  The 18th RIES-Hokudai International Symposium “Kyoku” (Poster Presentation)  2017/11
• Self-inverted Reciprocation of an Oil Droplet on a Surfactant Solution  [Not invited]

  Y. Satoh, Y. Sogabe, K. Kayahara, S Tanaka, M. Nagayama, S. Nakata

  The 18th RIES-Hokudai International Symposium “Kyoku” (Poster Presentation)  2017/11
• Mathematical analysis of the collective motion of camphor disks  [Not invited]

  NAGAYAMA Masaharu

  Free Boundary Problems and Nonlinear PDEs  2017/09
• 皮膚の数理モデリング：皮膚感覚モデルへの挑戦  [Not invited]

  長山 雅晴

  日本数学会2017年度秋季総合分科会  2017/09
• 皮膚の病態再現を目指した皮膚モデルについて  [Not invited]

  長山 雅晴

  日本応用数理学会年会  2017/09
• マランゴニ流の影響を含む，円環水路における樟脳円盤の自律運動の数理モデル  [Not invited]

  岡本守, 長山雅晴

  第11回応用数理研究会  2017/08
• 皮膚受容感受器の触刺激応答の数理モデル  [Not invited]

  趙子夏, 上坂正晃, 仲谷正史, 北畑裕之, 長山雅晴

  第11回応用数理研究会  2017/08
• 汚水処理の定量的評価を可能とする数理モデルを目指して  [Not invited]

  佐藤優祐, 長山雅晴

  第11回応用数理研究会  2017/08
• 自己駆動系粒子運動の数理解析  [Not invited]

  長山 雅晴

  千葉大学非線形科学セミナー  2017/06
• 皮膚感覚数理モデルへの挑戦  [Not invited]

  長山 雅晴

  日本時間学会第9回大会  2017/06
• 皮膚疾患再現を目指した皮膚構造数理モデル  [Not invited]

  小林康明, 安ヶ平裕介, 北畑裕之, 傳田光洋, 長山雅晴

  第22回計算工学講演会  2017/05
• 自走粒子系の集団運動に対する数理解析  [Not invited]

  長山 雅晴

  岡山大学解析セミナー  2017/05
• 角層バリア機能の数理モデリングとその応用  [Not invited]

  長山 雅晴

  第53回 芝浦工大数理科学科談話会  2017/04
• 表皮の数理モデル  [Not invited]

  長山 雅晴

  京都大学皮膚科セミナー  2017/03
• Mathematical modeling and analysis of the self-propelled disk and its collective motions  [Not invited]

  NAGAYAMA Masaharu

  International Conference on ”Reaction-diffusion system, theory and applications”  2017/03
• 角層バリア機能の数理モデル，ポスター発表  [Not invited]

  長山 雅晴

  第二回部局間横断シンポジウム「免疫・癌・感染」  2017/03
• 表皮構造の数理モデリング  [Not invited]

  長山 雅晴

  数理生物研究会2017  2017/03
• 自励往復運動する液滴の数理モデル  [Not invited]

  長山 雅晴

  非線形現象の数値シミュレーションと解析2017  2017/03
• 表皮の数理モデルについて  [Not invited]

  長山 雅晴

  第5回皮膚の会  2017/03
• 樟脳円盤の集団運動と反応拡散系  [Not invited]

  長山 雅晴

  複雑系数理の新展開  2017/02
• 皮膚構造の数理モデリング：病態再現への挑戦  [Not invited]

  長山 雅晴

  CREST領域シンポジウム  2017/02
• 自走運動に対する数理モデリングとその解析  [Not invited]

  長山 雅晴

  2017年軽井沢グラフと解析研究集会  2017/02
• Mathematical modeling and analysis of the self-propelled disk and its collective motions  [Not invited]

  NAGAYAMA Masaharu

  Seminar  2017/01
• 表皮が維持される仕組みを数理で考える  [Not invited]

  長山 雅晴

  生物多様性コロキウム  2017/01
• 表皮機構の数理モデリングとその皮膚疾患への応用  [Not invited]

  長山雅晴, 小林康明, 熊本淳一, 傳田光洋, 北畑裕之, 中田聡

  第17回計測自動制御学会，システムインテグレーション部門講演会  2016/12
• 表皮幹細胞ダイナミクスと真皮形状変形の数理モデル  [Not invited]

  小林康明, 北畑裕之, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2016/12
• 自励往復運動をする液滴の数理モデル  [Not invited]

  佐藤優祐, 長山雅晴, 田中晋平, 中田聡

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2016/12
• Traveling pulse solutions in a point mass model of diffusing particles  [Not invited]

  簑毛崇章, 長山雅晴, Elliott Ginder

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2016/12
• マランゴニ流の影響を含む,円環水路における樟脳円盤の自律運動の数理モデル  [Not invited]

  岡本守, 長山雅晴, 秋山正和

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2016/12
• Traveling pulse solutions in a point mass model of diffusing particles  [Not invited]

  Takaaki Minomo, Masaharu Nagayama, Elliott Ginder

  The 17th RIES-Hokudai International Symposium "Jyuu" (Poster Presentation)  2016/12
• Mathematical model including fluid’s effect of camphor disk’s self-motion  [Not invited]

  Mamoru Okamoto, Masaharu Nagayama, Masakazu Akiyama

  The 17th RIES-Hokudai International Symposium “Jyuu” (Poster Presentation)  2016/12
• Pilot study on mathematical modeling of the mechanosensitive responses in a sensory neuron  [Not invited]

  Masashi Nakatani, Hiroyuki Kitahata, Masaharu Nagayama

  The 17th RIES-Hokudai International Symposium “Jyuu” (Poster Presentation)  2016/12
• 表皮の数理モデリングとその応用  [Not invited]

  長山 雅晴

  金沢大学先魁プロジェクト「幹細胞とがんの数理生物学」シンポジウム  2016/11
• Mathematical modeling for the farrier function of the stratum corneum  [Not invited]

  NAGAYAMA Masaharu

  The 27th CDB Meeting “Body Surface Tactics: Cellular crosstalk for the generation of super-biointerfaces  2016/11
• 表皮構造の数理モデルの医学・産業界への応用の可能性について  [Not invited]

  長山 雅晴

  ものづくりセミナー  2016/10
• 表皮構造の数理モデルとその応用について  [Not invited]

  長山 雅晴

  医用画像と数理に関する４プロジェクト合同セミナー  2016/09
• Mathematical analysis of the collective motion of camphor disks  [Not invited]

  NAGAYAMA Masaharu

  International Workshop: Mathematics of Pattern Formation  2016/09
• Mathematical model including fluid's effect of camphor disk's self-motion  [Not invited]

  M. Okamoto, M. Akiyama, M. Nagayama

  Czech Japanese Polish Seminar in Applied Mathematics 2016  2016/09
• Mathematical modeling for the barrier function of the stratum corneum  [Not invited]

  M. Nagayama, Y. Kobayashi, M. Denda, H. Kitahata

  Czech Japanese Polish Seminar in Applied Mathematics 2016  2016/09
• マランゴニ流の影響を含む, 円環水路における樟脳円盤の自律運動の数理モデル  [Not invited]

  岡本守, 長山雅晴, 秋山正和

  第10回応用数理研究会  2016/08
• 自励往復運動をする液滴の数理モデル  [Not invited]

  佐藤優祐, 長山雅晴, 田中晋平, 中田聡

  第10回応用数理研究会  2016/08
• Chaotic traveling pulses in some reaction-diffusion system  [Not invited]

  NAGAYAMA Masaharu

  The 11th AIMS Conference on Dynamical systems, Differential Equations and Applications, Orlando  2016/07
• 皮変形を伴う表皮構造の数理モデリング  [Not invited]

  長山雅晴, 小林康明, 熊本淳一, 傳田光洋, 北畑裕之, 中田聡

  第21回計算工学講演会  2016/05
• The collective motion of camphor papers in an annular water channel  [Not invited]

  NAGAYAMA Masaharu

  International Workshop in Industrial Mathematics, Campinas University  2016/05
• 反応拡散系と樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  金沢解析セミナー  2016/04
• Mathmatical modeling for the barrier function of the stratum corneum  [Not invited]

  NAGAYAMA Masaharu

  2016 NCTS Workshop on Applied Mathematics at Tainan  2016/03
• 非線形科学研究の動向（自走粒子運動について）  [Not invited]

  長山 雅晴

  非線形科学と時間学の交流ワークショップ  2016/03
• 現象の数理モデリングと反応拡散系  [Not invited]

  長山 雅晴

  阿波セミナー2016「非線形現象の数理解析」  2016/03
• 角層バリア機能の数理モデリングとその応用（ポスター発表）  [Not invited]

  長山雅晴, 小林康明

  大・部局横断シンポジウム 大学内研究ネットワーク促進プログラム「生体防御 システムとその破綻」〜免疫・感染・ 癌・炎症〜  2016/03
• 皮膚科学に対する数理科学的アプローチ  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 傳田光洋, 北畑裕之, 中田聡

  非線形現象の数値シミュレーションと解析2016  2016/03
• 真皮形状変形の数理モデルについて  [Not invited]

  長山 雅晴

  第4回皮膚の会  2016/03
• 表皮構造の数理モデリング 〜 病態再現を目指して〜  [Not invited]

  長山雅晴, 小林康明, 傳田光洋, 北畑裕之, 中田聡

  北大皮膚科特別講演  2016/02
• 体積保存反応拡散系に現れるスポット運動  [Not invited]

  長山 雅晴

  アクティブマター研究会  2016/01
• 長距離結合を持つ弱興奮系における振動ダイナミクス  [Not invited]

  小林康明, 北畑裕之, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2015/12
• 樟脳の自律運動に対する流体の影響  [Not invited]

  岡本守, 長山雅晴, 小林康明, 金子美奈, 秋山正和

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2015/12
• Proneural waveの数理モデリング  [Not invited]

  南佳晃, 佐藤純, 三浦岳, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2015/12
• 鉄鉱石焼結の空隙形成に対する数理科学的アプローチ  [Not invited]

  安芸 勇人, 小林康明, 中川淳一, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2015/12
• Mathematical modeling for the barrier function of the stratum corneum  [Not invited]

  Masaharu Nagayama, Invi, Yusuke Sawabu, Yasuaki Kobayashi, Jun-Ichi Kumamoto, Mitsuhiro Denda, Satoshi Nakata, Hiroyuki Kitahata

  The 6th Annual Congress of Pan Asian-Pacific Skin Barrier Research Society  2015/12
• Mathematical modeling for the barrier function of the stratum corneum  [Not invited]

  Masaharu Nagayama, Invi, Yusuke Sawabu, Yasuaki Kobayashi, Jun-Ichi Kumamoto, Mitsuhiro Denda, Satoshi Nakata, Hiroyuki Kitahata

  Second joint workshop of China-Japan-Korea A3 foresight program  2015/11
• Calsium-mediated reduction of structural fluctuation in epidermis  [Not invited]

  Yasuaki Kobayashi, Hiroyuki Kitahata, Masaharu Nagayama

  The 16th RIES-Hokudai International Symposium “Jyutsu” (Poster Presentation)  2015/11
• Mathematical modeling of proneural wave  [Not invited]

  Yoshiaki Minami, Masaharu Nagayama, Makoto Sato, Takashi Miura

  The 16th RIES-Hokudai International Symposium “Jyutsu” (Poster Presentation)  2015/11
• Mathematical approach for the void formation of the sintering  [Not invited]

  Yuto Aki, Masaharu Nagayama, Yasuaki Kobayashi

  The 16th RIES-Hokudai International Symposium “Jyutsu” (Poster Presentation)  2015/11
• Influence of convection to self-motion of camphor  [Not invited]

  Mamoru Okamoto, Masaharu Nagayama, Yasuaki Kobayashi, Mina Kaneko, Masakazu Akiyama

  The 16th RIES-Hokudai International Symposium “Jyutsu” (Poster Presentation)  2015/11
• The collective motion of camphor papers in a annular water channel  [Not invited]

  NAGAYAMA Masaharu

  PDE seminar  2015/10
• 鉄鉱石焼結の空隙形成における数理科学的アプローチ（ポスター講演）  [Not invited]

  安芸 勇人, 小林康明, 長山雅晴

  日本応用数理学会年会  2015/09
• Proneural waveに対する数理モデル（ポスター講演）  [Not invited]

  南 佳晃, 佐藤純, 長山雅晴

  日本応用数理学会年会  2015/09
• 表皮恒常性維持機構におけるカルシウムイオンの役割  [Not invited]

  傳田光洋, 長山雅晴

  日本応用数理学会年会  2015/09
• 自己駆動系で作るリズムと秩序  [Not invited]

  中田聡, 田中晋平, 長山雅晴

  日本応用数理学会年会  2015/09
• 円環水路上の２個の樟脳ろ紙がみせる運動の数理解析  [Not invited]

  西 慧, 若井健, 上田知明, 吉井美優, 井倉弓彦, 西森拓, 中田聡, 長山雅晴

  日本応用数理学会年会  2015/09
• 表皮幹細胞ダイナミクスと真皮形状の関係  [Not invited]

  小林康明, 北畑裕之, 長山雅晴

  日本応用数理学会年会  2015/09
• 鉄鉱石焼結の空隙形成における数理科学的アプローチ  [Not invited]

  安芸 勇人, 小林康明, 長山雅晴

  応用数理研究会  2015/08
• Proneural waveに対する数理モデル  [Not invited]

  南 佳晃, 佐藤純, 長山雅晴

  応用数理研究会  2015/08
• Mathematical modeling and genetic analysis of the wave of differentiation  [Not invited]

  NAGAYAMA Masaharu

  ICIAM 2015  2015/08
• The collective motion of camphor papers in an annular water channel  [Not invited]

  Masaharu Nagayama, Ken Wakai, Kei Nishi, Yasuaki Kobayashi, Yumihiko Ikura, Satoshi Nakata

  ICIAM 2015  2015/08
• Reaction-advection-diffusion model of the epidermis  [Not invited]

  Yasuaki Kobayashi, Hiroyuki Kitahata, Masaharu Nagayama

  ICIAM 2015  2015/08
• 樟脳粒子の集団運動に対する数理解析  [Not invited]

  長山雅晴, 小林康明, 西慧, 井倉弓彦, 中田聡

  岐阜数理科学セミナー  2015/07
• 表皮の連続体モデルによる真皮形状と角層形状についての解析  [Not invited]

  小林康明, 北畑裕之, 長山雅晴

  第20回計算工学講演会  2015/06
• 真皮形状を考慮した表皮構造の数理モデリング  [Not invited]

  長山雅晴, 小林康明, 久保実沙貴, 澤武裕輔, 傳田光洋, 北畑裕之, 中田聡

  第20回計算工学講演会  2015/06
• （ポスター発表）  [Not invited]

  長山 雅晴

  ナノマクロ物質・デバイス・システム創製アライアンス「環境調和材料・デバイス」グループG4分科会  2015/06
• 表皮構造の数理モデリング 〜 表皮バリア機能の恒常性維持について〜  [Not invited]

  長山 雅晴

  談話会  2015/05
• 真皮形状を考慮した表皮構造の数理モデリング  [Not invited]

  長山雅晴, 小林康明, 南佳晃, 澤武裕輔, 傳田光洋, 北畑裕之, 中田聡

  非線形現象の数値シミュレーションと解析2015  2015/03
• 表皮バリア機能の恒常性について  [Not invited]

  長山 雅晴

  第３回 皮膚の会  2015/03
• Reaction‐advection‐diffusion model of the epidermis  [Not invited]

  Yasuaki Kobayashi, Masaharu Nagayama

  One-day Workshop on Applied Mathematics  2015/03
• The collective motion of camphor papers in an annular water channel  [Not invited]

  Masaharu Nagayama, Ken Wakai, Kei Nishi, Yasuaki Kobayashi, Yumihiko Ikura, Satoshi Nakata

  One-day Workshop on Applied Mathematics  2015/03
• Proneural Wave の数理モデリング  [Not invited]

  長山雅晴, 南佳晃, 佐藤純, 三浦岳

  研究集会「クロスボーダーシンポジウム」  2015/01
• 自走粒子系に現れる集団運動の数理解析  [Not invited]

  長山雅晴, 若井健, 西慧, 小林康明, 井倉弓彦, 中田聡

  研究集会  2014/12
• 表皮の連続体モデルによる真皮形状と角層形状についての解析  [Not invited]

  小林康明, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2014/12
• 真皮形状を考慮した表皮構造の数理モデル  [Not invited]

  久保実沙貴, 小林康明, 澤武裕輔, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2014/12
• Modeling wave propagation dynamics in MDCK wound healing assay  [Not invited]

  Y. Sawabu, M. Nagayama, T. Miura

  The 15th RIES-Hokudai International Symposium ” Hibiki” (Poster Presentation)  2014/12
• 数値分岐計算について  [Not invited]

  長山 雅晴

  応用数学勉強会2014  2014/12
• 表皮構造の数理モデリング ～バリア機能の恒常性評価～  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 太田智史, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  岐阜数理科学セミナー  2014/11
• Mathematical model of the epidermal axon growth  [Not invited]

  Y. Kobayashi, M. Tsutsumi, J. Kumamoto, M. Denda, M. Nagayama

  Neuroscience 2014 (Poster Presentation)  2014/11
• Mathematical model for epidermal homeostasis  [Not invited]

  Y. Kobayashi, Invite, Y. Sawabu, S. Ota, M. Nagayama

  MATHEMATICAL PROGRESS IN EXPRESSIVE IMAGE SYNTHESIS 2014  2014/11
• 燃焼合成反応と焼結問題に対する数理モデリングについて  [Not invited]

  長山雅晴, 小林康明

  サステナブル理工学研究センターシンポジウム  2014/11
• 表皮構造の数理モデリング  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 太田智史, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  数理医学体験ワークショップ～日仏数学者による秋の学校  2014/10
• Mathematical modeling for epidermal structure  [Not invited]

  Y. Kobayashi, Invited, Y. Sawabu, S. Ota, M. Kubo, M. Nagayama

  FMI2014 -Applications + Practical Conceptualization + Mathematics = fruitful Innovation-  2014/10
• 表皮構造の数理モデリング  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 太田智史, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  IMS研究集会「新時代の科学技術を牽引する数値解析学」  2014/10
• 自走粒子の集団運動に対する数理解析  [Not invited]

  長山雅晴, 若井健, 西慧, 小林康明, 井倉弓彦, 中田聡

  非線形数理セミナー  2014/09
• 真皮形状を考慮した表皮構造の数理モデル（ポスター講演）  [Not invited]

  久保実沙貴, 小林康明, 澤武裕輔, 長山雅晴

  日本応用数理学会  2014/09
• 数理モデリングによる表皮バリア機能の恒常性評価について  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 太田智史, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  日本応用数理学会  2014/09
• 真皮形状が表皮構造に与える影響の数理解析  [Not invited]

  小林康明, 久保実沙貴, 長山雅晴

  応用数理研究会  2014/08
• 真皮形状を考慮した表皮構造の数理モデル  [Not invited]

  久保実沙貴, 小林康明, 澤武裕輔, 長山雅晴

  応用数理研究会  2014/08
• 表皮構造の数理モデル  [Not invited]

  太田智史, 小林康明, 澤武裕輔, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡, 長山雅晴

  応用数理研究会  2014/08
• ショウジョウバエ視覚神経発生におけるProneural Waveの数理モデリング  [Not invited]

  南佳晃, 佐藤純, 長山雅晴

  応用数理研究会  2014/08
• 振り子台に固定されたメトロノームの同期現象  [Not invited]

  安芸勇人, 長山雅晴

  応用数理研究会  2014/08
• 表皮構造の数理モデル  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 太田智史, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  研究集会「非線形数理モデルの諸相:連続,離散,超離散,その先」  2014/08
• 表皮構造の数理モデル  [Not invited]

  小林康明, 太田智史, 久保実沙貴, 澤武裕輔, 長山雅晴

  北大 MMC & 旭川医大 L & M 合同セミナー  2014/07
• 樟脳円盤の集団運動に対する数理解析  [Not invited]

  長山雅晴, 若井健, 西慧, 小林康明, 井倉弓彦, 中田聡

  北大MMC & 旭医大L&Mセミナー  2014/07
• The collective motion of camphor papers in a cylindrical channel  [Not invited]

  M. Nagayama, K. Wakai, Y. Kobayashi, K. Nishi, Y. S. Ikura, S. Nakata

  The 10th AIMS Conference on Dynamical systems, Differential Equations and Applications  2014/07
• 表皮構造の数理モデル  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  応用数学連携フォーラム  2014/06
• 樟脳円盤の集団運動に対する数理解析  [Not invited]

  西 慧, 長山雅晴, 若井健, 小林康明, 井倉弓彦, 中田聡

  第19回計算工学講演会  2014/06
• 樟脳円盤の集団運動に対する数理解析  [Not invited]

  長山雅晴, 若井健, 小林康明, 西慧, 井倉弓彦, 中田聡

  日本数学会年会  2014/03
• 円環水路上での樟脳ろ紙の集団運動について  [Not invited]

  長山雅晴, 若井健, 小林康明, 西慧, 井倉弓彦, 中田聡

  非線形現象の数値シミュレーションと解析2014  2014/03
• 表皮構造の数理モデル  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  小研究会「細胞の理論，増殖，形，遊走」  2014/02
• 表皮バリア機能の恒常性評価について  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  合同シンポジウム  2014/01
• 表皮構造モデルを用いたバリア機能の恒常性評価について  [Not invited]

  澤武裕輔, 小林康明, 北畑裕之, 熊本淳一, 堤も絵, 後藤 真紀子, 傳田光洋, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2013/12
• 表皮内末梢神経におけるシグナル伝播の数理モデル  [Not invited]

  飯野桃子, 小林康明, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2013/12
• 細胞核運動モデルによる大脳皮質原基INMメカニズム解析  [Not invited]

  樋口亮, 長山雅晴, 宮田卓樹, 篠田友靖, 長坂新, 三浦岳

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2013/12
• 自己駆動粒子の集団運動に対する数理解析  [Not invited]

  若井健, 長山雅晴, 西慧, 小林康明, 井倉弓彦

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2013/12
• 円環水路上の樟脳ろ紙集団の分岐解析  [Not invited]

  西慧, 若井健, 小林康明, 井倉弓彦, 長山雅晴

  応用数学合同研究集会（日本数学会応用数学分科会主催）  2013/12
• Cell-cell interaction during collective cell migration of MDCK wound healing  [Not invited]

  Yusuke Sawabu, Takashi Mimura, Masaharu Nagayama

  The 14th RIES-Hokudai International Symposium ” Mou” (Poster Presentation)  2013/12
• Mathematical model of the axon growth  [Not invited]

  Momoko Iino, Yasuaki Kobayashi, Masaharu Nagayama

  he 14th RIES-Hokudai International Symposium ” Mou” (Poster Presentation)  2013/12
• Mathematical model of the skin barrier function  [Not invited]

  Yasuaki Kobayashi, Yusuke Sawabu, Masaharu Nagayama

  The 14th RIES-Hokudai International Symposium ” Mou” (Poster Presentation)  2013/12
• 自己駆動粒子の集団運動に対する数理解析  [Not invited]

  若井健, 長山雅晴, 西慧, 小林康明, 井倉弓彦, 中田聡, 上田知明

  第23回「非線形反応と協同現象」研究会  2013/12
• 創傷治癒実験時に見られるMDCK細胞の集団運動について  [Not invited]

  澤武裕輔, 三浦 岳, 長山雅晴

  第23回「非線形反応と協同現象」研究会  2013/12
• 皮膚構造数理モデルにおける表皮組織の可視化シミュレーション  [Not invited]

  樋口亮, 澤武祐輔, 小林康明, 秋山正和, 長山雅晴

  第23回「非線形反応と協同現象」研究会  2013/12
• 末梢神経伸長の数理モデル  [Not invited]

  飯野桃子, 堤も絵, 熊本淳一, 傳田光洋, 北畑裕之, 小林康明, 長山雅晴

  第23回「非線形反応と協同現象」研究会  2013/12
• Mathematical modeling of epidermal homeostasis  [Not invited]

  小林康明, 長山雅晴, 小林康明, 澤武裕輔, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  第23回「非線形反応と協同現象」研究会  2013/12
• 表皮構造の数理モデル 〜表皮バリア機能の恒常性評価について〜  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  数理形態形成セミナー  2013/11
• 自走粒子の数理モデルとその解析  [Not invited]

  長山雅晴, 中田聡

  櫻井・北畑研究室セミナー  2013/10
• Mathematical analysis of the collective motion of camphor disks  [Not invited]

  NAGAYAMA Masaharu

  2013 Northeastern Asian Symposium on High Performance Computing Method and Modeling  2013/09
• 表皮構造数理モデルにおける表皮組織の可視化シミュレーション  [Not invited]

  樋口亮, 秋山正和, 長山雅晴

  日本応用数理学会（ポスター講演）  2013/09
• 末梢神経伸長の数理モデル  [Not invited]

  飯野桃子, 小林康明, 熊本淳一, 堤も絵, 北畑裕之, 傳田光洋, 長山雅晴

  日本応用数理学会（ポスター講演）  2013/09
• 自己駆動粒子の集団運動に対する数理解析  [Not invited]

  若井健, 小林康明, 西慧, 長山雅晴

  日本応用数理学会（ポスター講演）  2013/09
• 表皮構造の恒常性評価について  [Not invited]

  長山雅晴, 小林康明, 澤武裕輔, 傳田光洋, 堤も絵, 熊本淳一, 北畑裕之, 中田聡

  日本応用数理学会  2013/09
• Mathematical modeling of epidermal homeostasis  [Not invited]

  Yasuaki Kobayashi, Masaharu Nagayama

  Czech-Japanese Seminar in Applied Mathematics(Poster Presentation)  2013/09
• 環状水路上の樟脳ろ紙集団がみせる玉突き運動について  [Not invited]

  長山雅晴

  応用数理研究会  2013/08
• 自己駆動粒子の集団運動に対する数理解析  [Not invited]

  若井健, 長山雅晴

  応用数理研究会  2013/08
• 末梢神経伸張の数理モデル  [Not invited]

  飯野桃子, 長山雅晴

  応用数理研究会  2013/08
• 細胞核運動モデルによる大脳皮質原基INMメカニズム解析  [Not invited]

  樋口亮, 長山雅晴

  応用数理研究会  2013/08
• 樟脳粒の自発運動：粒子形状と運動の関係について  [Not invited]

  飯田渓太, 長山雅晴

  第18回計算工学講演会  2013/06
• 皮膚構造の数理モデル〜表皮の恒常性評価について〜  [Not invited]

  長山 雅晴

  第18回計算工学講演会  2013/06
• 表皮構造の数理モデルと表皮の恒常性評価について  [Not invited]

  長山 雅晴

  L＆Mセミナー  2013/04
• Bifurcation of a self-motion depending of a reaction order  [Not invited]

  NAGAYAMA Masaharu

  One-day Workshop on Applied Mathematics  2013/03
• 表皮構造の数理モデルと表皮の恒常性評価について  [Not invited]

  長山 雅晴

  研究集会「非線形現象の数値シミュレーションと解析2013」  2013/03
• 表皮構造の数理モデルと表皮の恒常性評価について  [Not invited]

  長山 雅晴

  徳島数学談話会  2013/02
• 表皮構造の数理モデルと表皮の恒常性評価について  [Not invited]

  長山 雅晴

  北陸応用数理研究会 2013  2013/02
• 表皮構造の数理モデル  [Not invited]

  長山 雅晴

  数理解析セミナー  2013/01
• 表皮構造の数理モデル  [Not invited]

  長山 雅晴

  FBSコロキウム  2013/01
• Spontaneous motion of a deformed camphor disk  [Not invited]

  NAGAYAMA Masaharu

  応用数学合同研究集会  2012/12
• ロウソク振動子における同期現象の数理解析  [Not invited]

  宮崎誉広, 長山雅晴

  応用数学合同研究集会  2012/12
• 皮膚形成の数理モデルにおける表皮構造の安定性評価  [Not invited]

  澤武裕輔, 長山雅晴

  応用数学合同研究集会  2012/12
• Spontaneous motion of an elliptic camphor disk  [Not invited]

  K. Iida, H. Kitahata, M.Nagayama

  The 13th RIES-Hokudai International Symposium “ritsu” (Poster Presentation)  2012/12
• Mathematical model and the stability measure for epidermal structures  [Not invited]

  Y. Sawabu, Y. Kobayashi, M. Nagayama

  The 13th RIES-Hokudai International Symposium “ritsu” (Poster Presentation)  2012/12
• Mathematical modeling and analysis of the self-propelled particle  [Not invited]

  NAGAYAMA Masaharu

  2nd Discussion Symposium on Artificial Life and Biomimetic Functional Materials  2012/12
• 表皮構造の数理モデルとその恒常性評価  [Not invited]

  長山 雅晴

  第4回領域シンポジウム「越境する数学」（ポスター講演）  2012/11
• 表皮構造の数理モデル  [Not invited]

  長山 雅晴

  非線形科学コロキウム  2012/11
• 表皮構造の数理モデル  [Not invited]

  長山 雅晴

  解析セミナー  2012/11
• 自己駆動系の数理  [Not invited]

  長山 雅晴

  第2回複雑系数理とその応用に関するシンポジウム  2012/11
• Modelling wave propagation dynamics in MDCK wound healing assay  [Not invited]

  澤武裕輔, 長山雅晴

  日本生物物理学会  2012/09
• 反応拡散系と数理モデル  [Not invited]

  長山 雅晴

  広島大学数理分子生命理学専攻 第4回公開シンポジウム『数理生命科学の新展開-階層間で干渉しあう形・動き・機能-』  2012/09
• Studies on the self-motion of a deformed camphor disk with bifurcation theory  [Not invited]

  飯田渓太, 長山雅晴

  日本応用数理学会  2012/08
• 樟脳船モデルに対する渋滞現象の数理解析  [Not invited]

  長山 雅晴

  日本応用数理学会  2012/08
• ロウソク振動子における同期現象の数理解析  [Not invited]

  宮崎誉広, 長山雅晴

  「反応、拡散、対流系」研究会  2012/08
• 異方性を考慮した表皮細胞成長モデル  [Not invited]

  若井健, 長山雅晴

  応用数理研究会  2012/08
• 皮膚再生数理モデルにおける表皮細胞の可視化  [Not invited]

  樋口亮, 長山雅晴

  応用数理研究会  2012/08
• Self-Propelled Motion of a Deformed Camphor Disk  [Not invited]

  NAGAYAMA Masaharu

  応用数理研究会  2012/08
• 創傷治癒実験時におけるMDCK細胞運動の数理モデル  [Not invited]

  澤武裕輔, 長山雅晴

  日本応用数理学会（ポスター講演）  2012/08
• ロウソク振動子における同期現象の数理解析  [Not invited]

  宮崎誉広, 長山雅晴

  応用数理学会（ポスター講演）  2012/08
• Self-Propelled Motion of a Deformed Camphor Disk  [Not invited]

  飯田渓太, 長山雅晴

  NLPMサマーセミナー  2012/08
• The jamming of camphor boats in a circular water channel  [Not invited]

  NAGAYAMA Masaharu

  9th AIMS International Conference on Dynamical Systems, Differential Equations and Applications  2012/07
• 皮膚構造の数理モデル  [Not invited]

  長山 雅晴

  数理生命セミナー  2012/06
• Numerical simulation of camphor motions at the air-water interface  [Not invited]

  飯田渓太, 長山雅晴

  第17回計算工学講演会  2012/05
• 樟脳船運動に現れる渋滞現象について  [Not invited]

  長山 雅晴

  第17回計算工学講演会  2012/05
• Modelling wave propagation dynamics in MDCK wound healing assay  [Not invited]

  澤武裕輔, 長山雅晴

  日本発生生物学会（ポスター講演）  2012/05
• 創傷治癒実験時のMDCK細胞の集団運動  [Not invited]

  澤武裕輔, 長山雅晴

  日本発生生物学会  2012/05
• 円周水路での樟脳船の渋滞現象について  [Not invited]

  長山 雅晴

  北海道大学ＰＤＥセミナー  2012/05
• 樟脳船運動に現れる渋滞現象の数理解析  [Not invited]

  長山 雅晴

  談話会  2012/05
• 楕円形状樟脳粒子に対する２次元数理モデルの解析  [Not invited]

  飯田渓太, 長山雅晴

  日本数学会年会  2012/03
• 樟脳船モデルに現れる渋滞現象の数理解析  [Not invited]

  長山 雅晴

  日本数学会年会  2012/03
• A traffic jam phenomenon of camphor boats in a water route  [Not invited]

  NAGAYAMA Masaharu

  Min-Workshop on applied Mathematics  2012/03
• 体積保存型反応拡散系に現れるパターンダイナミクス  [Not invited]

  長山 雅晴

  非線形現象の数値シミュレーションと解析2012  2012/03
• 数理モデルを通して皮膚を視る  [Not invited]

  長山 雅晴

  合原研セミナー  2012/02
• 領域の大きさと形状に依存した樟脳粒子の運動形態について  [Not invited]

  中村千春, 長山雅晴

  北陸応用数理研究会  2012/02
• 体積保存条件付き反応拡散系に現れるパターンダイナミクス  [Not invited]

  芳川裕基, 長山雅晴

  北陸応用数理研究会  2012/02
• 楕円形状樟脳粒子に対する２次元数理モデルの解析  [Not invited]

  飯田渓太, 長山雅晴

  応用数学合同研究集会  2011/12
• 体積保存条件付き反応拡散系におけるパターンダイナミクス  [Not invited]

  芳川裕基, 長山雅晴

  応用数学合同研究集会  2011/12
• 樟脳船の数理モデルに見られる渋滞現象  [Not invited]

  安宅正, 長山雅晴

  応用数学合同研究集会  2011/12
• 領域の形状と大きさに依存した樟脳粒子の運動形態について  [Not invited]

  長山 雅晴

  応用数学合同研究集会  2011/12
• 数理モデルを通して皮膚を視る  [Not invited]

  長山 雅晴

  山形大学理学部講演会  2011/11
• 数学を通して皮膚を視る－皮膚の数理モデルを作る－  [Not invited]

  長山 雅晴

  金沢大学未来開拓シンポジウム  2011/10
• ロウソク火炎振動子に対する数理モデルとその位相縮約  [Not invited]

  宮崎誉広, 長山雅晴

  日本応用数理学会（ポスター講演）  2011/09
• 基底細胞の運動モデルから迫る創傷治癒の数理モデル  [Not invited]

  澤武裕輔, 長山雅晴

  日本応用数理学会（ポスター講演）  2011/09
• 体積保存条件付き反応拡散系に見られるパターンダイナミクス  [Not invited]

  芳川裕基, 長山雅晴

  日本応用数理学会（ポスター講演）  2011/09
• 樟脳舟の数理モデルに見られる渋滞現象  [Not invited]

  安宅正, 長山雅晴

  応用数理学会（ポスター講演）  2011/09
• 形状に依存した樟脳粒子運動について  [Not invited]

  長山 雅晴

  日本応用数理学会  2011/09
• 基底細胞の運動モデルから迫る創傷治癒の数理モデル  [Not invited]

  澤武裕輔, 長山雅晴

  第２回領域シンポジウム「越境する数学」（ポスター講演）  2011/09
• 角層形成の数理モデル  [Not invited]

  長山 雅晴

  第２回領域シンポジウム「越境する数学」（ポスター講演）  2011/09
• ロウソク火炎振動子に対する数理モデルとその位相縮約  [Not invited]

  宮崎誉広, 長山雅晴

  応用数理研究会  2011/08
• 基底細胞の運動モデルから迫る創傷治癒の数理モデル  [Not invited]

  武裕輔, 長山雅晴

  応用数理研究会  2011/08
• 体積保存条件付き反応拡散系に見られるパターンダイナミクス  [Not invited]

  芳川裕基, 長山雅晴

  応用数理研究会  2011/08
• 水面における樟脳粒子運動の形状依存性について  [Not invited]

  中村千春, 長山雅晴

  応用数理研究会  2011/08
• 樟脳舟の数理モデルに見られる渋滞現象  [Not invited]

  安宅正, 長山雅晴

  応用数理研究会  2011/08
• Chaotic motion of propagating pulses in Gray-Scott model  [Not invited]

  NAGAYAMA Masaharu

  ICIAM 2011 (Poster)  2011/07
• 角層形成の数理モデル  [Not invited]

  長山 雅晴

  京都駅前セミナー  2011/05
• 角層形成の数理モデル  [Not invited]

  長山 雅晴

  非線形現象の数値シミュレーションと解析2011  2011/03
• 現象を理解するための数理モデル～数学で皮膚モデルをつくろう～  [Not invited]

  長山 雅晴

  さきがけ数学キャラバン「拡がりゆく数学 in 山形」  2011/02
• 自己組織化としての皮膚バリア機能の数理解析  [Not invited]

  長山 雅晴

  第1回領域シンポジウム「越境する数学」  2011/02
• 体積保存条件付き反応拡散系に現れるスポットダイナミクス  [Not invited]

  長山 雅晴

  アクティブマター研究会  2011/02
• 角層形成の数理モデル  [Not invited]

  長山 雅晴

  金沢大学ガン研究所  2011/02
• 体積保存条件付き反応拡散系に現れるスポットダイナミクス～液滴のブレミング運動の理解を目指して～  [Not invited]

  林悠帆, 長山雅晴

  応用数学合同研究集会  2010/12
• バクテリアコロニーのパターン形成に対する数理モデル  [Not invited]

  藤部裕太, 長山雅晴

  応用数学合同研究集会  2010/12
• 角層再生の数理モデル  [Not invited]

  坂井昭彦, 長山雅晴

  応用数学合同研究集会  2010/12
• 粒子形状に依存した樟脳運動について  [Not invited]

  飯田渓太, 長山雅晴

  応用数学合同研究集会  2010/12
• Chaotic traveling pulse in some reaction-diffusion system  [Not invited]

  NAGAYAMA Masaharu

  Workshop “Interface motion and traveling waves in reaction-diffusion equations”  2010/10
• 反応拡散系に現れるカオスパルス波  [Not invited]

  長山 雅晴

  日本数学会  2010/09
• 現象の数理モデル  [Not invited]

  長山 雅晴

  研究集会「マクロ経済動学の非線形数理」  2010/09
• 気水界面における界面活性粒子運動の数理モデルの解析  [Not invited]

  飯田渓太, 長山雅晴

  日本応用数理学会  2010/09
• 角層形成の数理モデル  [Not invited]

  長山 雅晴

  日本応用数理学会  2010/09
• バクテリアコロニーの数理モデル  [Not invited]

  井倉弓彦, 長山雅晴

  日本応用数理学会（ポスター講演）  2010/09
• 角層再生の数理モデル  [Not invited]

  坂井昭彦, 長山雅晴

  日本応用数理学会（ポスター講演）  2010/09
• 角層回復機能の数理モデル  [Not invited]

  長山 雅晴

  数理科学コロキウム  2010/06
• 数学と現象の数理モデル  [Not invited]

  長山 雅晴

  数理科学コロキウム  2010/06
• 反応拡散系に現れるカオスパルス波について  [Not invited]

  長山 雅晴

  日本計算工学会  2010/05
• 表皮細胞運動の数理モデル  [Not invited]

  長山 雅晴

  数理医学研究会  2010/05
• 反応拡散系に現れるカオスパルス波について  [Not invited]

  長山 雅晴

  研究集会「数値シミュレーションの理論と実践」  2010/02
• 表皮細胞運動の数理モデル  [Not invited]

  長山 雅晴

  ＱＮＡセミナー＆現象数理セミナー  2010/01
• 表皮細胞間カルシウムイオン伝播の数理モデル  [Not invited]

  長山 雅晴

  定量生物の会  2010/01
• 表皮細胞運動の数理モデル  [Not invited]

  長山 雅晴

  岡山大学創立６０周年記念講演会「数理科学と諸科学の融合に向けて」  2009/12
• フェナントロリン粒子運動の数理モデル  [Not invited]

  飯田渓太, 長山雅晴

  応用数学合同研究集会  2009/12
• OHP樟脳円版の数理モデル  [Not invited]

  井倉弓彦, 長山雅晴

  応用数学合同研究集会  2009/12
• 表皮細胞間カルシウムイオン伝播の数理モデル  [Not invited]

  長山 雅晴

  談話会  2009/11
• 反応拡散系に現れるパルス波のカオス的運動  [Not invited]

  矢留雅亮, 長山雅晴

  日本応用数理学会  2009/09
• フェナントロリン粒子運動の実験的・数理的研究  [Not invited]

  飯田渓太, 長山雅晴

  日本応用数理学会  2009/09
• OHP樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  日本応用数理学会  2009/09
• Gray-Scottモデルと発熱反応拡散系に現れるパルス波ダイナミクスについて  [Not invited]

  長山 雅晴

  研究集会「散逸系の数理-パターンを表現する漸近解の構成」  2009/06
• 機械刺激による表皮細胞間カルシウム伝播の数理モデルについて  [Not invited]

  長山 雅晴

  解析セミナー  2009/06
• ロウソク火炎振動子の数理モデル  [Not invited]

  井倉弓彦, 長山雅晴

  日本数学会  2009/03
• 双安定反応拡散系に現われるパルス波の遷移ダイナミクスについて  [Not invited]

  矢留雅亮, 長山雅晴

  日本数学会  2009/03
• 液滴運動の数理モデルとその数値シミュレーション  [Not invited]

  長山 雅晴

  非線形現象の数値シミュレーションと解析2009  2009/03
• 機械刺激に対する表皮細胞間カルシウム伝播の数理モデル  [Not invited]

  長山 雅晴

  小研究集会 in 富山「反応拡散系における諸問題2008」  2009/01
• 機械刺激による表皮細胞間カルシウム伝播の数理モデルについて  [Not invited]

  長山 雅晴

  研究集会「第５回生物数学の理論とその応用  2009/01
• 反応拡散系に対する大域的分岐構造の数値計算法  [Not invited]

  長山 雅晴

  日本数理生物学会 企画シンポジウム  2008/09
• ロウソク振動子の数理モデル  [Not invited]

  長山 雅晴

  日本応用数理学会  2008/09
• 化学反応を伴う界面活性粒子運動の数理モデル  [Not invited]

  長山 雅晴

  第２回応用数理研究会  2008/08
• ロウソク火炎振動子の数理モデル  [Not invited]

  長山 雅晴

  NLPMセミナー  2008/07
• 現象の数理モデル  [Not invited]

  長山 雅晴

  日本数学会（応用数学分科会特別講演）  2008/03
• ロウソク火炎振動子の数理モデル  [Not invited]

  長山 雅晴

  数値解析チュートリアル  2008/03
• 表皮細胞の数理モデルを目指して  [Not invited]

  長山 雅晴

  非線形現象の数値シュミレーションと解析2008  2008/03
• ロウソク火炎振動子の数理モデル  [Not invited]

  長山 雅晴

  解析セミナー  2008/02
• Traveling Spots Dynamics in Reaction-Diffusion Systems  [Not invited]

  NAGAYAMA Masaharu

  International Conference on Computational Science 2007  2007/12
• ロウソク火炎振動子の数理モデル  [Not invited]

  長山 雅晴

  現象数理セミナー  2007/11
• ロウソク火炎振動子の数理モデルについて  [Not invited]

  長山 雅晴

  盛岡 応用数学 小研究集会  2007/10
• ろうそく炎振動子の同期現象の数理的理解に向けて  [Not invited]

  長山 雅晴

  龍谷大学セミナー  2007/03
• 液滴運動のモデル方程式とその数値計算法  [Not invited]

  長山 雅晴

  日本物理学会（ポスター講演）  2007/03
• ろうそく炎の引き込み現象の数理的理解に向けて  [Not invited]

  長山 雅晴

  岐阜非線形セミナー  2007/03
• ろうそく炎振動子の同期現象の数理的理解に向けて  [Not invited]

  長山 雅晴

  非線形現象の数値シミュレーションと解析セミナー 2007  2007/03
• 液滴運動の数理モデルとその数値計算法  [Not invited]

  長山 雅晴

  研究会「第二回 非線形科学の次代」  2007/03
• Mathematical modeling for the motion of oil droplet  [Not invited]

  NAGAYAMA Masaharu

  East-Asia Workshop on Pattern Formations and Reaction-Diffusion Systems  2006/12
• 油滴運動を記述する数理モデルについて  [Not invited]

  長山 雅晴

  非線形現象の数値シミュレーションと解析2006  2006/03
• 油滴運動の数理モデルについて  [Not invited]

  長山 雅晴

  応用数学合同研究集会  2005/12
• 油滴運動の数理モデルについて  [Not invited]

  長山 雅晴

  環瀬戸内応用数理研究部会シンポジウム  2005/11
• 樟脳運動モデルの分岐現象について  [Not invited]

  長山 雅晴

  日本物理学会（ポスター講演）  2005/03
• 反応拡散場における樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  談話会  2004/11
• 反応拡散場における粒子運動の数理モデル  [Not invited]

  長山 雅晴

  現象数理セミナー  2004/09
• 油虫運動の数理モデル  [Not invited]

  長山 雅晴

  日本応用数理学会  2004/09
• 反応拡散場における粒子運動の数理モデル  [Not invited]

  長山 雅晴

  数理学談話会  2004/05
• A theoretical study on the motion of a camphor disk  [Not invited]

  NAGAYAMA Masaharu

  US-Japan workshop on Dynamics and Computations  2004/03
• 反応拡散場における粒子運動の数理モデル  [Not invited]

  長山 雅晴

  応用解析研究会  2004/03
• 反応拡散場での粒子運動の数理モデル  [Not invited]

  長山 雅晴

  研究集会「数理工学に現れる微分方程式とその周辺」  2004/02
• 樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  Hakozaki Workshop on Applied and Numerical Analysis  2004/01
• 反応拡散場での粒子運動の数理解析  [Not invited]

  長山 雅晴

  研究集会「非線形科学の深化と情報科学への応用」  2003/12
• 反応拡散場での樟脳運動の数理解析（with 中田聡）  [Not invited]

  長山 雅晴

  第13回「非線形反応と協同現象」研究会  2003/12
• 反応拡散場での粒子運動の数理モデルについて  [Not invited]

  長山 雅晴

  応用数学合同研究集会  2003/12
• 反応拡散場での粒子運動の数理モデルについて  [Not invited]

  長山 雅晴

  蔵本研セミナー  2003/11
• 反応拡散場での粒子運動の数理モデルについて  [Not invited]

  長山 雅晴

  研究集会「PDEs and Phenomena in Miyazaki」  2003/10
• 反応拡散場での粒子運動について  [Not invited]

  長山 雅晴

  応用数理学会  2003/09
• 固形カンフェンの間欠運動について  [Not invited]

  長山 雅晴

  研究集会「界面ダイナミクスを再現する数値解析法の開発と実験分野への応用について III」  2003/07
• Travelling spots in reaction-diffusion systems  [Not invited]

  NAGAYAMA Masaharu

  International Conference on High Performance Scientific Computing  2003/03
• 反応拡散系に現れる進行スポットの運動について  [Not invited]

  長山 雅晴

  KSU Seminar on Nonlinear Dynamics  2003/02
• Numerical Study of Travelling Spots in Reaction-Diffusion Systems  [Not invited]

  NAGAYAMA Masaharu

  NSC Winter seminar  2003/02
• 固形カンフェンの間欠運動について  [Not invited]

  長山 雅晴

  応用数学合同研究集会  2002/12
• Numerical understanding of helical waves arising in some reaction-diffusion systems  [Not invited]

  NAGAYAMA Masaharu

  偏微分方程式セミナー  2002/11
• Numerical understanding of helical waves arising in some reaction-diffusion systems (with T.Ikeda and H.Ikeda)  [Not invited]

  NAGAYAMA Masaharu

  Workshop:Invasion phenomena in biology and Ecology ( Poster)  2002/11
• 様々な数理モデルとその数値計算  [Not invited]

  長山 雅晴

  自然システム講究  2002/10
• 反応拡散系におけるヘリカル波の出現機構  [Not invited]

  長山 雅晴

  日本数学会  2002/09
• 対流効果を伴う樟脳運動について  [Not invited]

  長山 雅晴

  日本応用数理学会  2002/09
• 進行波の振動現象 ―燃焼方程式とバクテリアコロニー形成モデル―  [Not invited]

  長山 雅晴

  NSC workshop「Intrinsic 縞々学」  2002/03
• リン酸緩衝液上での樟脳酸運動の数理モデル  [Not invited]

  長山 雅晴

  短期共同研究「非線形現象の解析：実験と数理解析」  2002/03
• リン酸緩衝液上での樟脳酸運動の数理モデル  [Not invited]

  長山 雅晴

  応用数学合同研究集会  2001/12
• Mathematical Modeling for motion of camphoric acid boat on phosphate buffer solution ( with S.Nakata)  [Not invited]

  NAGAYAMA Masaharu

  International Conference on Frontier of Applied Analysis — Fluid Dynamics and Pattern Formation –(Psoter)  2001/12
• 樟脳粒(又は船)のカップリングと数理モデル（with 中田 聡，土井幸重）  [Not invited]

  長山 雅晴

  第11回「非線形反応と共同現象シンポジウム」研究会（ポスター講演）  2001/12
• The dynamics of traveling breathers  [Not invited]

  NAGAYAMA Masaharu

  Workshop on Traveling Waves:Theory and Applications  2001/10
• ショウノウ酸舟の数理モデル  [Not invited]

  長山 雅晴

  日本応用数理学会  2001/10
• リン酸緩衝液上でのショウノウ運動の数理モデル  [Not invited]

  長山 雅晴

  NLPM サマーセミナー  2001/09
• ショウノウ酸舟の数理モデル  [Not invited]

  長山 雅晴

  阿波セミナー  2001/08
• 脈動進行波のダイナミクス  [Not invited]

  長山 雅晴

  Minisyposium on nonlinear dynamics in dissipative systems  2001/02
• 脈動進行波のダイナミクス  [Not invited]

  長山 雅晴

  研究集会「生命の数理的認識に向けて」  2001/01
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  応用数学合同研究集会  2000/12
• 樟脳舟の相互作用を記述する数理モデルについて  [Not invited]

  長山 雅晴

  工学部講演会  2000/12
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  物質工学工業技術研究所  2000/11
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  NSCセミナー  2000/11
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  龍谷応用数理セミナー  2000/10
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  日本応用数理学会  2000/10
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  談話会  2000/10
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  数理解析セミナー  2000/10
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  NLPMサマーセミナー  2000/09
• 表面張力を利用した樟脳運動の数理モデル  [Not invited]

  長山 雅晴

  阿波セミナー「数理情報科学におけるモデルとその解析」  2000/08
• 反応拡散系に現れる螺旋進行波について  [Not invited]

  長山 雅晴

  京都大学数理解析研究所談話会  2000/05
• 反応拡散系に現れる螺旋進行波について  [Not invited]

  長山 雅晴

  研究集会「反応拡散系：生物・化学における現象とモデル」  2000/04
• 反応拡散系に現れる螺旋進行波の数値計算  [Not invited]

  長山 雅晴

  札幌NSCワークショップ2000 –遷移ダイナミクスをめぐって–  2000/01
• 燃焼合成に現れるらせん燃焼波の数値シミュレーション  [Not invited]

  長山 雅晴

  研究集会「非線形反応と協同現象」  1999/12
• 反応拡散系に現れる螺旋進行波について  [Not invited]

  長山 雅晴

  応用数学合同研究集会  1999/12
• 燃焼合成に現れるらせん燃焼波の数値計算–らせん波形成機構の理解に向けて–  [Not invited]

  長山 雅晴

  日本応用数理学会  1999/10
• 燃焼合成に現れるらせん燃焼波の数値計算–らせん波形成機構の理解に向けて–  [Not invited]

  長山 雅晴

  NLPMサマーセミナー  1999/09
• Numerical simulation of helical waves arising in self-propagating high-temerature syntheses  [Not invited]

  NAGAYAMA Masaharu

  小研究集会「非線型偏微分方程式のダイナミクス」  1999/09
• 燃焼合成に現れるらせん燃焼波の数値計算–らせん波形成機構の理解に向けて–  [Not invited]

  長山 雅晴

  阿波セミナー  1999/08
• Numerical simulation of helical waves arising in self-propagating high-temerature syntheses  [Not invited]

  NAGAYAMA Masaharu

  龍谷大学ハイテクリサーチセンター シンポジウム  1999/03
• 燃焼合成モデルの数値計算 –スピン波の形成機構の理解に向けて–  [Not invited]

  長山 雅晴

  「遷移過程の数理的研究」研究集会  1999/01
• 燃焼合成モデルの数値計算 –スピン波の形成機構の理解に向けて–  [Not invited]

  長山 雅晴

  応用数学合同研究集会  1998/12
• Helical waves arising in exothermic reaction-diffusion systems  [Not invited]

  NAGAYAMA Masaharu

  数理解析セミナー  1998/12
• 反応拡散方程式系における進行パルス波の反射現象について  [Not invited]

  長山 雅晴

  数理解析セミナー  1998/10
• 進行パルス波解の反射現象について  [Not invited]

  長山 雅晴

  応用数理セミナー  1998/08
• 反応拡散方程式系に現れる進行パルス波の衝突非消滅性について  [Not invited]

  長山 雅晴

  セミナー  1998/06
• 反応拡散方程式系に現れる進行パルス波の衝突非消滅性について  [Not invited]

  長山 雅晴

  INSAMセミナー  1998/04
• 反射機構に起因するパターンダイナミクスについて  [Not invited]

  長山 雅晴

  「パターン形成 その現象と数理」研究集会  1997/12
• Travelling Breatherのダイナミクス  [Not invited]

  長山 雅晴

  応用数学合同研究集会  1997/12
• 単安定興奮系における反射現象について  [Not invited]

  長山 雅晴

  NLPMサマーセミナー  1997/08
• 単安定興奮系におけるパルスダイナミクスについて  [Not invited]

  長山 雅晴

  応用数学合同研究集会  1996/12
• 単安定系興奮場におけるパルスダイナミクスー衝突反射やスパイラル波崩壊の視点からー（ with 三村昌泰）  [Not invited]

  長山 雅晴

  第6回「非線形反応と共同現象シンポジウム」研究会（ポスター講演）  1996/11
• 1点平衡点安定系におけるパターン形成  [Not invited]

  長山 雅晴

  NLPMサマーセミナー  1996/09

Teaching Experience

数理科学A数理科学A Hokkaido University
数理科学A数理科学A Hokkaido University
数理解析学講義数理解析学講義 Hokkaido University
数理科学演習数理科学演習 Hokkaido University

Association Memberships

• 日本物理学会   日本数学会   日本応用数理学会   

Research Projects

• 多細胞-ECMの統合的な三次元力学動態の制御機構

  日本学術振興会：科学研究費助成事業

  Date (from‐to) : 2023/04 -2028/03 

  Author : 長山 雅晴
• 領域研究「細胞外情報を統御するマルチモーダルECM」の統括と運営

  日本学術振興会：科学研究費助成事業

  Date (from‐to) : 2023/04 -2028/03 

  Author : 藤原 裕展, 木戸屋 浩康, 島村 徹平, 高橋 淑子, 鳴瀧 彩絵, 秋元 文, 長山 雅晴, 出口 真次, 永樂 元次, 関口 清俊, 松田 知己, 高田 慎治, 岸田 晶夫, 大槻 純男, 三輪 佳宏, 三井 優輔, 山城 義人, 秋吉 一成, 板倉 英祐
• Identifying and overcoming factors contributing to delayed wound healing in epidermolysis bullosa.

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2023/04 -2026/03 

  Author : 夏賀 健, 眞井 洋輔, 長山 雅晴, 高島 翔太
• Mathematical model for self-propelled particle interacting through concentration field

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

  Date (from‐to) : 2021/04 -2025/03 

  Author : 北畑 裕之, 長山 雅晴, 末松 信彦, 住野 豊

   

  自らが放出する物質が周囲の濃度場を構成し、その濃度場から影響を受けて自己駆動する粒子系について、実験、理論の両面から研究を進めた。まず、粒子の形状と運動との関係を明らかにするため、粒子形状の対称性を反映したシンプルな系として、複数の自己駆動粒子の相対的位置が固定された系について考察を行った。具体的には粒子が2個、あるいは3個、相対的関係を保ったまま運動する系について理論解析を進めた。その結果、2回回転対称性を持つ粒子の場合に、その対称性と運動の向きに最も相関が強いことを明らかにした。また、数値計算においてもそのことを実証した。この内容は論文としてまとめ、国際誌に公開されている。 次に、自己駆動する粒子（能動粒子）と単に濃度場の影響だけを受けて運動する粒子（受動粒子）が引力的相互作用を持つ場合について、これらの粒子がペアになって運動することを実験、数値計算により明らかにした。さらに、運動に対する抵抗性をパラメータとして変えた時、抵抗が大きいときには、能動粒子と受動粒子のペアは受動粒子を前にして直進運動するが、抵抗が小さいときには、このペアが直進はせず、公転運動することを明らかにした。この結果は現在、論文にまとめ国際誌に投稿中である。 また、自己駆動粒子を一点からの距離が一定となるように拘束すると、その点を中心に公転運動を行う。この系は濃度場の時間変化も含めて回転子とみなすことができる。この系を、二つ並べることで非線形振動子の結合系として解析し、回転子の位相の同期現象を調べた。 さらに、濃度場での相互作用には流体構造も重要となってくるため、レーザーシート系を導入し溶液に可視化粒子を分散させて流体構造を観察する系を構築した。そして、自己駆動粒子が放出する物質が周囲の表面張力を変化させることにより発生する、マランゴニ対流構造を精密に観察することに成功した。
• 自己駆動体の集団運動に対する数理モデリングと数理解析

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

  Date (from‐to) : 2021/04 -2025/03 

  Author : 長山 雅晴, 北畑 裕之, 中村 健一, 田中 晋平, 中田 聡, 後藤田 剛
• Spatiotemporally developed self-propelled objects

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

  Date (from‐to) : 2020/04 -2024/03 

  Author : 中田 聡, 長山 雅晴, 北畑 裕之, 伴野 太祐, 末松 信彦

   

  当該年度に実施した、非線形科学に立脚した自己駆動体の構築に関する研究成果は次のとおりである。 １．可逆的走化性の実験系の構築：これまでの無生物自己駆動体による走化性の研究報告のほとんどが、正または負の単指向走化性のみであった。ところが実際の生物では、採餌等走化性の目的を達したら、その場から立ち去ることができる可逆的走化性である。そこで本研究では、可逆的走化性を示す自己駆動体の構築を目的とした。具体的には、自己駆動体として6-メチルクマリン（6-MC）円板を使用し、塩基の化学刺激としてリン酸三ナトリウムを使用した。その結果、表面張力の高い化学刺激に対して表面張力の低い自己駆動体が正の走化性を示し、化学刺激上でトラップされる一方、塩基と6-MCとの化学反応が終わると、化学刺激上から脱出できる、可逆的走化性の構築に成功した。そして駆動力である表面張力測定、ｐH指示薬による時空間的ｐHの可視化、及び反応拡散方程式と運動方程式からなる数理モデルによる数値計算によって、可逆的走化性の機構を解明した。 ２．酵素反応とカップリングした特徴的な運動様相を示す自己駆動体の構築：酵素反応系は、化学振動反応等、非線形性の高い化学反応と知られている。そこで本研究では、自己駆動体の自律性と非線形性を高めるため、酵素反応とカップリングした自己駆動体の構築を目的とする。具体的には、ウレアーゼの反応速度のｐH依存性（ベル型特性）を活用した。その結果、初期ｐHを弱酸性にすると、尿素発生によるｐH上昇が反応速度を高めるポジティブフィードバックが働き、振動運動を誘発することを明らかにした。その機構を明らかにするために、ｐH指示薬によるｐHと運動速度の同時測定を行った。 ３．界面活性剤存在下における自己駆動体の深さ依存性：反応拡散系に基づき、ドデシル硫酸ナトリウム上で運動する樟脳円板と水層の深さ依存性について解明した。
• 理論駆動モデリングとデータ駆動モデリングの融合による器官形成原理の解明

  科学技術振興機構：戦略的創造研究推進事業

  Date (from‐to) : 2019 -2024/03
• 数理モデル解析による恒常性の理解とその応用

  科学技術振興機構：ムーンショット型研究開発事業

  Date (from‐to) : 2020/12 -2023/03
• 数理モデリングを基盤とした数理皮膚科学の創設

  科学技術振興機構：戦略的創造研究推進事業 CREST

  Date (from‐to) : 2015/10 -2021/03 

  Author : 長山 雅晴
• 自己駆動系の集団運動に対する数理モデリングとその数理解析

  科学研究費補助金

  Date (from‐to) : 2016/04 -2020/03 

  Author : 長山 雅晴
• Investigation of propagation mechanism of reaction-diffusion wave in heterogeneous media in vivo

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2015/07 -2018/03 

  Author : Ken-Ichi Nakamura

   

  In collaboration with mathematicians and experimental biologists, we construct a robust mathematical model of propagation of the wave of differentiation (or proneural wave) in the Drosophila visual center by combining reaction-diffusion and lateral inhibition. Numerical simulations of our model are consistent with experimental results and genetic analysis.
• Anaslysys of dependence on numerical errors in the bifurcation process of dynamical system and development new adaptive numerical scheme

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2015/04 -2018/03 

  Author : Hataue Itaru

   

  The properties of several types of asymptotic solutions of one- and two-dimensional reaction-diffusion system with the FitzHugh-Nagumo model and the extended van der Pol oscillator model were studied. When several asymptotic solutions coexist in a parameter region around the bifurcation point, the dynamic locally connecting bistable solutions (d-LCBSs) which consists of two domains can be effectively obtained by developing the newly suggested preconstructed initial condition given by calculating with large random noises in the present study. The relative stability levels of two stable uniform asymptotic solution patterns in the transition process from one pattern to another ones were evaluated by the amplitude of adding random noises. Furthermore, it was elucidated that the random noises affect the stability of boundary of the LCBS.
• Hierarchical structures and robustness for the set of global solution branches of spatially localized patterns in dissipative systems

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2014/04 -2018/03 

  Author : Nishiura Yasumasa

   

  Spatially localized patterns in dissipative systems form an important class of solutions in pattern formation theory. To understand the generation, annihilation and collision dynamics among those patterns is a big challenge. Global structure of all relevant solution branches forms a hierarchical structure and its connecting manner of stable/unstable manifolds gives an insight for dynamic behaviors of the above exotic dynamics. We applied the methodology to localized convective patterns of binary fluid and three component reaction diffusion systems of FitzHugh-Nagumo type.
• 生理学と協働した数理科学による皮膚疾患機構の解明

  科学技術振興機構：戦略的創造研究推進事業 CREST

  Date (from‐to) : 2010/10 -2016/03 

  Author : 長山 雅晴
• Variational approach to collision, detachment and adhesion

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2011/04 -2015/03 

  Author : OMATA Seiro

   

  We have studied the motion of elastic body, fluid and their interaction. We used energy formula and variational method for solving these problems. The main target was hyperbolic free boundary problems which can be treated the motion of bubble even with junctions.Our method is based on the discrete Morse flow, which is defined by "time difference space differential" type functionals. We have constructed approximate solutions for hyperbolic free boundary problems and in easy cases we could show the existence of the solution. The other feature of this problem is that we can add global constraints such as volume preserving constraint.We also developed numerical algorithm based on this idea.
• 体積保存型反応拡散系に現れるスポット運動の数理解析

  科学研究費補助金

  Date (from‐to) : 2013/04 -2015/03 

  Author : 長山 雅晴
• 化学反応を伴う粒子および液滴運動に対する数理解析

  科学研究費補助金

  Date (from‐to) : 2009/04 -2013/03 

  Author : 長山 雅晴
• 多粒子離散モデルの導入によるバクテリアコロニーパターン形成への数理的接近

  科学研究費補助金

  Date (from‐to) : 2010/04 -2012/03 

  Author : 長山 雅晴
• Theoretical studies on possibility of the entrainment in molecular systems

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2011 -2012 

  Author : NAGAO Hidemi, NAGAYAMA Masaharu, IWASAKI Hiroshi, SAITO Hiroaki, KAWAGUCHI Kazutomo

   

  We have discussed the dynamics of molecular systems by using some molecular models in relation to the frequency entrainment. We have found that the frequency entrainment in molecules is not observed in the solvent with lower density. On the other hand, in the case of higher density of the solvent, we have observed the frequency entrainment between molecules explicitly.
• Study on the strong interaction among spatially localized patterns in dissipative systems

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2009 -2012 

  Author : NISHIURA Yasumasa, UEDA Keiichi, TERAMOTO Takashi, IIMA Makoto, NAKAGAKI Toshiyuki, TAKAGI Seiji, EI Shinichiro, NAGAYAMA Masaharu

   

  Spatially localized traveling patterns appear ubiquitously in nature such as neural system, gas-discharge phenomena, chemical reaction, binary convection, and motion of true slime mold. They display a variety of dynamic patterns like annihilation, coalescence,and splitting via collisions or interaction with environments. For the comprehensive understanding of these phenomena, we combine several theoretical and numerical approaches like local bifurcation analysis of higher codimension, numerical path-tracking, and reduction to finite dimensional systems, which allow us to clarify the mathematical mechanism controlling behind those dynamics.
• ロウソクの同期振動現象に対する数理モデルとその数理解析

  科学研究費補助金

  Date (from‐to) : 2007/04 -2010/03 

  Author : 長山 雅晴
• 水面上での液滴運動に対する数理モデル化とその数理解析

  科学研究費補助金

  Date (from‐to) : 2006/04 -2009/03 

  Author : 長山 雅晴
• ロウソク火炎振動子の数理モデル

  科学研究費補助金

  Date (from‐to) : 2007 -2009 

  Author : 長山雅晴
• Mathematical model for the candle oscillator

  Grant-in-Aid for Scientific Research

  Date (from‐to) : 2007 -2009
• New topics for partial differential equations whose solution has singular sets

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2006 -2009 

  Author : OMATA Seiro, MIYAKAWA Tetsuro, JINBO Shuichi, KIKUCHI Koji, WEISS Georg, YAMAURA Yoshihiko, KOBAYASHI Kenta, NAGAYAMA Masaharu

   

  時間発展の偏微分方程式で解に特異点が生じる問題群についての数学的解析と数値解法の開発を行ってきた。特に双曲型体積保存自由境界問題・放物型体積保存自由境界問題では解の存在と一意性について一定の結果を得た。すなわち、新しい弱解定義、構成、放物型については、弱解のヘルダー連続性を示した。また、数値解法についても、ラグランジェアンの停留点を求める方法論としての離散勾配流法の有効性を確かめるとともに、これを用いた連成解析用のソルバーを開発した。さらに、一部ソバーについては並列化を行いパラレルマシン対応とした。
• Mathematical Models of Interfacial Motion of Crystalline Materials

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2004 -2006 

  Author : KOBAYASHI Ryo, GIGA Yoshikazu, NAGAYAMA Masaharu, NONOMURA Makiko, MIMURA Masayasu, UEYAMA Daishin

   

  Kobayashi had benn investigated the problem for the mathematical model of grain boundary in polycrystalline materials since the middle of 90's, and completed 2D model already. The main goal of this research is to extend Kobayashi-Warren-Carter model to 3D model, which includes essential difficulties because the orientation variable must be extended from SO(2)-valued to SO(3)-valued. Therefore we intended to formuLate the 3D model mathematically, study mathematical theories concerning to it, ・and develop the technique of numerical simulation. We first construct the SO(3)-valued singular diffusivity equation in one dimensional and two dimensional space, and simulation codes. Then we compare the 2 expressions for SO(3); local coordinates (Rodrigues, Vector) and imbedding to 9 dimensional Euclidean space R^{9}, and concluded that the imbedding method is the way we have to go. According to this decision we first developed a 3D numerial code in which the values of orientation variables are kept in SO(3) by means of the normal projection to SO(3) and some special penalty, function. By coupling this orientation equation with the phase field equation which describes the solid-liquid phase dynamics, we completed the model and 3D numerical code which can describe the while process from nucleation, solidification, formation of grain boundaries and growth of the grains accompanied by the motion of grain boundaries. Finally in order to include the symmetries of crystalline structure to our model, we took the orientation space as the homogeneous space (the space obtained by dividing SO(3) by symmetry group) and tried to imbed.it to some (higher dimensional) Euclidian space. However we found it is very difficult to obtain the concrete imbedding in the situation where we are interested in. Our research has interesting side effect, which is a construction of mathematical model of cleavage which can be considered (in some sense) to be a reverse process of coarsening of grains.
• 皮膚バリアー機能の回復機構に対する数理モデル化とその計算機支援解析

  日本学術振興会：科学研究費助成事業

  Date (from‐to) : 2004 -2005 

  Author : 長山 雅晴

   

  昨年度に引き続き,皮膚バリアー機能を担っている角質層が破壊されたとき,角質層がどのような過程で急速に回復するのかを数理モデルの視点から解明することを目的として遂行してきた. 実験において,角質層が正常な皮膚ではカルシウムイオンが表皮組織中で深さ方向に局在しており,角質層が破壊されるとカルシウムイオンが局在しなくなり,表皮組織の内部に向かってカルシウムイオンが伝播する現象が知られている.この事実から,最初にカルシウムイオンの局在化と伝播現象を再現するための数理モデル化を行った.ここでは,カルシウムイオンの興奮・振動現象を記述する常微分方程式系のモデル方程式がすでに提出されていることから,このモデル方程式を反応拡散方程式系に拡張することで数理モデル化を行った.この数理モデルを十分広い区間(境界の影響を受けない)で数値計算すると,あるパラメータに依存してカルシウムイオンが空間非一様な振動をする解とカルシウムイオンが空間的に局在する解を得ることができた. 次にカルシウムイオンの局在化がより角質層に近いところで起こる現象の再現を数理モデル化した.この現象を再現するために表皮細胞の老化を考慮した.老化現象によって細胞間でのカルシウムイオン伝播の伝播係数が異なる場合と細胞の興奮性が異なる場合が考えられるが,どちらにおいても老化した表皮細胞付近に局在化するような現象を再現できた.この事実から,表皮細胞の老化現象がカルシウムイオンの局在化に影響していることがわかった。 また,カルシウムイオンの局在化から非一様な振動現象への分岐現象を解析するための数値計算プログラムを開発した.これにより境界の影響を受けない局在解から進行パルス解に分岐することがわかった.このプログラムは一般の反応拡散系モデルにも拡張可能であり,実際に発熱反応拡散方程式においても適用し,同様に局在解から進行パルス解への分岐現象および進行パルスの解構造を数値的に求めることに成功した.
• Control of spatio temporal mode-switching at a membrane or an interface under nonequilibrium condition

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2004 -2005 

  Author : NAKATA Satoshi, MATSUYAMA Toyoki, NAGAYAMA Masaharu

   

  As a simple example of an autonomous motor, the self-motion of a camphor boat on water with changes in chemical stimuli was investigated. For example, the nature of the self-motion of a camphor boat changed characteristically with the addition of ester vapor (methyl n-butyrate) to a circular water chamber. Thus, continuous motion changed to oscillatory motion and its period increased depending on the distance between an ester droplet and the chamber, L. The surface tension in the water chamber was measured to clarify how the velocity of the self-motion changed with L. The nature of the self-motion is discussed in relation to the surface tension as the driving force. We believe that the present results may be useful for realizing artificial chemotaxis systems under nonlinear and isothermal conditions. As for another system, the propagation of chemical waves in the photosensitive Belousov-Zhabotinsky (BZ) reaction was investigated using an excitable field in the shape of a circular ring or figure "8" which was drawn by computer software and then projected on a film soaked with BZ solution using a liquid-crystal projector. For a chemical wave in a circular reaction field, the shape of the chemical wave was investigated depending on the ratio of the inner and outer radii. When two chemical waves were generated on a field shaped like a figure "8" (one chemical wave in each circle) as the initial condition, the location of the collision of the waves either was constant or alternated depending on the degree of overlap of the two circular rings. These experimental results were analyzed based on a geometrical discussion and theoretically reproduced based on a reaction-diffusion equation using a modified Oregonator model. The photosensitive BZ reaction may be useful for creating spatio-temporal patterns depending on the geometric arrangement of excitable fields.
• Solution structure around bifurcation points of co-dimension 2

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2003 -2005 

  Author : IKEDA Tsutomu, NISHIDA Takaaki, IKEDA Hideo, MORITA Yoshihisa, NINOMIYA Hirokazu, NAGAYAMA Masaharu

   

  Masaharu Nagayama (one of investigators of the present research project) has devised a computer code that can analyze bifurcation structures in a neighborhood of double bifurcation points. This code deals with bifurcation phenomena of pulse solutions to mono-stable reaction-diffusion systems, and is equipped with the following two functions : (1)It can find a critical point and construct its bifurcation branch, (2)It can extend existing bifurcation branches. In order to devise the code, we consider the reaction-diffusion system on a finite interval (0,L) subject to the periodic boundary condition where L is a fixed large positive number. From the phase condition we obtain the equation that determines the propagating velocity of traveling pulse, and by the Keller method we express the dependency on a parameter p included in the equation systems. The problem formularized as in the above is numerically solved by the Newton method in the computer code. We note that a solution is a set of {solutions to reaction-diffusion systems, c, p}. When a traveling pulse bifurcates from a standing pulse, there appear two zero-eigenvalues, one of which is a trivial one trivial one corresponding to parallel translation. Our code applies to not only this case but also the cases where two crucial zero-eigenvalues exist except the trivial one. The head investigator have dealt with standing and traveling combustion pulses of a mathematical model for self-propagating high-temperature syntheses including both the cooling effect and raw material supply system. Employing a piece-wise constant function for the reaction term, we have studied the existence of pulse solutions in a mathematically rigorous way, and also the collision dynamics of combustion pulses on a circle domain.
• Applications of the dynamical systems theory and the singularity theory to mathematical fluid mechanics

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2002 -2004 

  Author : OKAMOTO Hisashi, OHKITANI Koji, UEDA Keiichi, NAGAYAMA Masaharu, KIMURA Yoshifumi, SAKAJOU Takashi

   

  The Navier-Stokes equations are the fundamental partial differential equations of fluid mechanics. The regularity problem of the solutions of the equations is particularly renowned but the equations also accompany other equally important issues. The present research aims at better understanding of the equations and related reaction-diffusion equations. We have achieved substantial progresses in (1)discovery of solutions of new kind, particularly nearly singular solutions possessing internal layers, (2)bifurcation analysis for progressive water waves and a development of new computational methods for water waves. S.-C.Kim and Okamoto considered rhombic periodic Navier-Stokes flows, and discovered a curious stability-exchange at large Reynolds numbers. A.Craik and Okamoto studied a three dimensional dynamical system stemming from the Navier-Stokes equations. Asymptotic behavior of its solutions was classified : a dichotomy was discovered and the reason was explained by the existence of a periodic solution. X.Chen and Okamoto proved that the Proudman-Johnson equation did not admit a blow up under the Dirichlet boundary condition, which resolved an open problem for ten years. Nagayama and Okamoto studied certain axisymmetric self-similar solutions of the Navier-Stokes equations, and proved that they possessed internal-layers for large Reynolds numbers. K.-I.Nakamura, H.Yagisita and Okamoto rigorously proved that self-similar solutions of the Navier-Stokes equations blew up in the framework of the Burgers vortex. Okamoto proved a uniqueness theorem for Crapper's waves arising in the progressive water waves.
• 反応拡散系理論と流体理論の融合により展開される新しい非線形問題の調査

  日本学術振興会：科学研究費助成事業

  Date (from‐to) : 2003 -2003 

  Author : 坂上 貴之, 中田 聡, 石渡 哲哉, 長山 雅晴, 山口 智彦, 森 義仁

   

  研究計画の基づき本研究課題に関する調査を行った。まず、京都大学にて企画会議を行い,調査方針の確定・調査対象の選別・調査派遣研究者の決定を行った。この決定に基づき8月に札幌にて調査会議を開催,反応拡散系・皮膚科学・ポストゲノムの研究者を招いて講演をしていただいた。この三件について分担者らは評価および検討を加え,調査の具体的な評価基準を決定した。 札幌での会議の成果を受け,9月は数理側の分担者と実験側の分担者がペアとなって国内外で開催された関連する研究集会へ参加・調査を行った。海外の研究集会としてはハンガリー・ブダペストで開催されたCMFF03,アメリカ合衆国ニューヨークで開かれたアメリカ化学会年会,スペインパルマ・デ・マヨルカで開催されたDynamics Days 2003,一方国内の研究集会としては新潟で開催された日本生物物理学会,日本物理学会に参加した。この調査の結果を10月にお茶の水大学にて分担者全員で詳細に検討した。最後に12月に京都大学で開催された「非線形反応と協同現象の数理」に参加し、国内における当該課題の研究についてさらに調査した。 調査の結果,反応拡散系理論と流体理論が融合するという視点で、いくつか今後に繋がるものがあった。具体的には以下の二点である。 (1)非均一場における化学反応理論:従来の化学反応速度理論は場の均一性を仮定して展開されているが、実際には複雑で非均一な流れ場で反応が起きている。今後はこの流れの非均一性を考慮した新しい反応現象という視点で実験および数理的研究がすすむ可能性がある。 (2)反応が流れにおよぼす影響:化学反応が起こることによって発熱・密度変化・表面張力変化などの物性変化と流れの相互作用から現象を探ることが可能。 これらの成果は調査ノートとしてとりまとめ、来年度に関係者に配布。さらなる議論をすすめる予定である。
• 計算機支援による水面での剛体運動に対する数理解析

  日本学術振興会：科学研究費助成事業

  Date (from‐to) : 2002 -2003 

  Author : 長山 雅晴

   

  界面活性粒子を水面に浮かべたとき,界面活性粒子が水面上でどのような運動をするのかを数理解析的に研究した.最初に樟脳円盤が水面を動く数理モデルを構築した.この数理モデルは樟脳円盤の運動を記述する運動方程式と樟脳膜の濃度を記述する反応拡散方程式から成り,二つの方程式は表面張力を通して結合している.数値実験の結果からこのモデル方程式が実験結果の定性的性質をよく再現していることがわかった.さらに計算機支援解析によってモデル方程式に対して定常解から進行パルス波への分岐現象を解析し,定常解と進行パルス波の線形化安定性を調べた.その結果,樟脳円盤の半径によって2種類の分岐構造があることがわかった.実験において円盤の大きさによる分岐構造の違いを確認することはできなかったが,円盤の大きさと速度の関係は数学解析の結果と定性的に一致していることがわかった.そして,樟脳円盤の往復運動現象に対しても,境界条件を適切に与えることで数理モデルにおいて往復運動現象が確認された.この研究成果はPhysica Dに掲載予定となっている. 樟脳運動の数理モデルを基本として,化学反応を伴う界面活性粒子の運動(例えば,リン酸緩衝液上での樟脳酸円盤の間欠運動)を記述する数理モデルを構築した.この数値計算結果から間欠運動は化学反応次数に強く依存していることがわかった.この結果として,硝酸第一鉄溶液上でのフェナントロリン円盤の間欠運動とリン酸緩衝液上での樟脳酸円盤の間欠運動は異なる運動メカニズムによることが示唆された.
• Chemical analysis based on nonlinearity : Evaluation of a target species in a mixture sample.

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2002 -2003 

  Author : NAKATA Satoshi, NAGAYAMA Masaharu, MATSUYAMA Toyoki, YANAGISAWA Yasunori

   

  In this study, we investigated that the dynamic sensor responses to sample gases tinder a periodic temperature change were characteristically enhanced by higher-harmonic perturbation. These effects are reflected by the amplitude in FET, i.e., the nature of sensor response can be evaluated by the higher harmonics. The characteristic dynamic sensor response stimulated by the second-harmonic perturbation was theoretically simulated based on a reaction-diffusion model for the semiconductor sensor surface. We also demonstrated that the nonlinear sensor response enhanced by temperature perturbation can provide useful information for the analysis of a sample gas. Although we have demonstrated only the second harmonic perturbation at θ_2=π/6 in addition to the fundamental harmonic, the selectivity of the sensor response will be enhanced by choosing other higher harmonic perturbation because the nonlinear response changes depending on the chemical species. In order to find the optimal condition from the theoretical point of view, the effects on the sensor responses under the temperature perturbation should be clarified by further investigation, e.g., the reactions between sample gases on the sensor surface should be considered along with the dependence of the semiconductor barrier height on the status of the adsorbed gas and the Debye length [21,32] in the present model.
• Mathematical Analysis of helical waves arising in some-reaction diffusion systems

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2000 -2002 

  Author : IKEDA Tsutomu, NINOMIYA Hirokazu, MORITA Yoshihisa, IKEDA Hideo, NAGAYAMA Masaharu, SAKAI Kazushige

   

  A helical wave is observed in self-propagating high-temperature syntheses (SHS), for instance. One can create a high-quality uniform product by the SHS when a combustion wave keeps its profile and propagates at a constant velocity. When experimental conditions are changed, however, the planar traveling wave may lose its stability and give place some non-uniform ones. Actually, a planar pulsating wave appears through the Hopf bifurcation of planar traveling wave. Moreover, we observe a wave that propagates in the form of spiral encircling the cylindrical sample with several reaction spots. This wave is called a helical wave since it has been shown by our 3D numerical simulation that the isothermal surface of the wave has some wings and it helically rotates down as time passes on. Similar helical waves are observed also in propagation fronts of polymerizations in laboratory and they are obtained also by numerical simulation of some autocatalytic reactions as well as the SHS. We have been studied the existing condition of helical wave and the transition process of wave patterns from traveling mode to pulsating mode and/or helical mode, and we have obtained the following results: 1. A stable helical wave can bifurcate directly from a planar traveling wave. 2. Even if a traveling wave is stable in R, the corresponding planar traveling wave can be unstable in the band domain as well as in the cylindrical domain, and a helical wave takes the place of planar traveling wave. 3. There are no stable helical wave when the band width L is small or the radius R of cylindrical domain is small. 4. Helical waves with different numbers of reaction spots can coexist stably.
• 反応拡散系に現れる螺旋進行波の出現機構に対する計算機支援解析

  日本学術振興会：科学研究費助成事業

  Date (from‐to) : 2000 -2001 

  Author : 長山 雅晴

   

  燃焼合成反応は地球環境にやさしい材料合成法として,日本だけでなくアメリカやロシア等においても研究されている.燃焼合成は反応が開始されると生成される反応熱を利用して材料を合成する方法であるが,このとき実験の安全性を確保するために生成熱を抑えるような工夫が施されている.しかしながら,生成熱を抑えすぎると反応面が不安定化を起こし,均一な材料は合成されないことが知られている.我々は,反応面が不安定化する要因を数理的立場から明らかにすることを研究した.反応面の不安定化で見られる典型的現象は,反応面が螺旋状に伝播するものである.我々は燃焼合成反応の数理モデルを用いて,反応面の螺旋伝播について調べた.その結果燃焼合成に現れる螺旋伝播の発生機構の本質は伝播速度の振動化(1次元脈動進行波の存在)によることがわかった.この事実を示すために,燃焼合成モデル以外の脈動進行波を持つ反応拡散方程式系を調べた.その結果自己触媒反応を記述する反応拡散モデルや区分定数関数の反応拡散方程式系は脈動進行波をもつことがわかっり,それらの方程式において脈動進行波が出現したとき,円柱領域において螺旋進行波が出現することがわかった.これらの結果を論文雑誌に発表した. 次に螺旋進行波の出現を分岐理論的に解析することを考えた.区分定数関数反応拡散方程式について解析を行った結果,1次元進行波解を構成することができた.またあるパラメータを変化させたとき,Newton法を用いた数値計算結果から脈動進行波が存在する状況においても進行波解が存在することがわかった.この結果はパラメータを変化させると安定な進行波解がHopf分岐により不安定化し脈動進行波解が出現することを示唆している.進行波解の分岐現象を明らかにするための線形化解析は現在進行中である.
• Application of the double exponential transform to integral transformations

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 1999 -2001 

  Author : OKAMOTO Hisashi, FURIHARA Daisuke, MUROTA Kazuo, MORI Masataka, OOURA Takuya, NAGAYAMA Masaharu

   

  Overview : (1) New solutions of the Navier-Stokes equations, including those solutions having interior layers were found. (2) a new numerical technique for nearly singular solutions of integral equations was developed. (3) That technique was successfully applied to solitary waves with 120-degree singularity, (3) a new numerical method for oscillatory integral was developed (4) a high-accurate numerical method for partial differential equations, which effectively use the discrete vanational method, was developed. K. Kobayashi proposed a new method for numerically computing minimal surfaces, by which an annual award of papers by JSIAM was awarded on him. H. Okamoto and his student K. Kobayashi applied the double exponential transform to the integral equations which describes the solitary waves. They showed that a nearly singular solution, whose computation required more'than 1000 mesh points in conventional numerical methods, can be computed very well with only 128 mesh points. H. Okamoto and M. Nagayama found Navier-Stokes flows which have interior layers. T. Ooura discovered a new method of one-dimensional numerical integration. Some integrals whose integrands oscillate and decay with an algebraic rate, were known to be difficult to compute with high accuracy. He generalized a Salzer transformation, which was used to accelerate the convergence of series, to a quadrature rule. In some examples, conventional methods can compute the integrals with an accuracy of only three digits, while his new method can compute the same integrals with an accuracy of 8 digits. He also proposed a new algorithm to compute the circle ratio, by which he was awarded an annual award of papers by JSIAM
• 水面上での界面活性粒子運動の数理モデル化と数理解析

  科学研究費補助金

  Date (from‐to) : 2001 

  Author : 長山雅晴
• Matematical analysis and modeling for the motion of surfactant particles on the water surface

  Cooperative Research

  Date (from‐to) : 2001

Social Contribution

• 国民との科学・技術対話事業

  Date (from-to) : 2021/03/12-2021/03/12

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北大出張講義（札幌創成高等学校）
• スーパーサイエンスハイスクール

  Date (from-to) : 2020/12/16-2020/12/16

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北大出張講義（札幌北高校）
• 「研究者・技術者のための応用数学 〜科学・工学に活かす数理的思考〜

  Date (from-to) : 2020/10/21-2020/10/23

  Role : Lecturer

  Sponser, Organizer, Publisher  : 神奈川県立産業技術総合研究所
• UHB大学

  Date (from-to) : 2020/09/29-2020/09/29

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道文化放送株式会社（UHB）
• 「研究者・技術者のための応用数学 〜科学・工学に活かす数理的思考〜

  Date (from-to) : 2019/11/27-2019/11/29

  Role : Lecturer

  Sponser, Organizer, Publisher  : 神奈川県立産業技術総合研究所
• 国民との科学・技術対話事業

  Date (from-to) : 2019/10/30-2019/10/30

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学出張講義（北海高等学校）
• スーパーサイエンスハイスクール

  Date (from-to) : 2019/01/18-2019/01/18

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北大出張講義（札幌啓成高校）
• スーパーサイエンスハイスクール

  Date (from-to) : 2018/09/07-2018/09/07

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北大出張講義（札幌啓成高校）
• 国民との科学・技術対話

  Date (from-to) : 2018/02/04-2018/02/04

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北大出張講義（北海道札幌国際情報高等学校）
• 国民との科学・技術対話事業

  Date (from-to) : 2018/01/26-2018/01/26

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 出張講義（北海道立共和高等学校）
• 北大魅力発見フェスタ（河合塾）

  Date (from-to) : 2017/10/01-2017/10/01

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 実験・学部紹介ブース参加「界面活性剤を用いた実験とその数学」
• 第20回拡がりゆく数学 in 春日井

  Date (from-to) : 2017/07/01-2017/07/01

  Role : Lecturer

  Sponser, Organizer, Publisher  : 科学技術振興機構・中部大学

  Event, Program, Title : JST数学キャラバン
• 第18回拡がりゆく数学 in 水戸

  Date (from-to) : 2016/12/17-2016/12/17

  Role : Lecturer

  Sponser, Organizer, Publisher  : 科学技術振興機構・水戸第一高等学校

  Event, Program, Title : JST数学キャラバン
• 国民との科学・技術対話事業

  Date (from-to) : 2016/11/02-2016/11/02

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 出張講義（札幌西高等学校）
• 楽しくサイエンス

  Date (from-to) : 2016/07/17-2016/07/17

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 理系応援キャラバン隊実験体験ブース参加「界面活性剤を使った運動と数学」
• 北大魅力発見フェスタ（河合塾）

  Date (from-to) : 2016/06/19-2016/06/19

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 実験・学部紹介ブース参加「界面活性剤を使った運動と数理科学」
• 国民との科学・技術対話事業

  Date (from-to) : 2015/12/02-2015/12/02

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 出張講義（札幌西高等学校）
• サイエンストーク

  Date (from-to) : 2015/06/06-2015/06/06

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 電子科学研究所一般公開
• 第13回拡がりゆく数学 in 水戸

  Date (from-to) : 2014/11/29-2014/11/29

  Role : Lecturer

  Sponser, Organizer, Publisher  : 科学技術振興機構・水戸第二高等学校

  Event, Program, Title : JST数学キャラバン
• 国民との科学・技術対話事業

  Date (from-to) : 2014/11/27-2014/11/27

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 出張講義（札幌日本大学高等学校）
• 広がる数学V

  Date (from-to) : 2014/11/24-2014/11/24

  Role : Lecturer

  Sponser, Organizer, Publisher  : 科学技術振興機構・岡山大学

  Event, Program, Title : JST数学キャラバン
• 講義と実験（SSH札幌啓成高等学校）

  Date (from-to) : 2014/09/12-2014/09/12

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学
• 第10回拡がりゆく数学 in 北海道

  Date (from-to) : 2014/08/09-2014/08/09

  Role : Lecturer

  Sponser, Organizer, Publisher  : 科学技術振興機構・北海道大学

  Event, Program, Title : JST数学キャラバン
• 国民との科学・技術対話事業

  Date (from-to) : 2014/01/21-2014/01/21

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 出張講義（岩見沢東高等学校）
• 国民との科学・技術対話事業

  Date (from-to) : 2013/11/07-2013/11/07

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 出張講義（札幌日本大学高等学校）
• 国民との科学・技術対話事業

  Date (from-to) : 2013/10/09-2013/10/09

  Role : Lecturer

  Sponser, Organizer, Publisher  : 北海道大学

  Event, Program, Title : 出張講義（立命館慶祥高校）
• リズムやパターンを生み出す化学反応

  Date (from-to) : 2013/08/03-2013/08/03

  Role : Lecturer

  Sponser, Organizer, Publisher  : 日本学術振興会

  Event, Program, Title : ひらめき☆ときめきサイエンス ー KAKENHI ー
• リズムやパターン形成の数理科学

  Date (from-to) : 2011/08/11-2011/08/11

  Role : Lecturer

  Sponser, Organizer, Publisher  : 日本学術振興会

  Event, Program, Title : ひらめき☆ときめきサイエンス ー KAKENHI ー
• 第1回拡がりゆく数学 in 山形

  Date (from-to) : 2011/02/20-2011/02/20

  Role : Lecturer

  Sponser, Organizer, Publisher  : 科学技術振興機構・山形大学

  Event, Program, Title : JST数学キャラバン
• 表面張力を使った自発運動の数理

  Date (from-to) : 2010/07/31-2010/07/31

  Role : Lecturer

  Sponser, Organizer, Publisher  : 日本学術振興会

  Event, Program, Title : ひらめき☆ときめきサイエンス ー KAKENHI ー
• 数値計算演習

  Date (from-to) : 2010/03/08-2010/03/08

  Role : Lecturer

  Sponser, Organizer, Publisher  : 科学技術振興機構

  Event, Program, Title : JST数学塾 第2回「応用数学と物理学の協働」
• 身近な現象の実験と数理科学

  Date (from-to) : 2009/08/11-2009/08/11

  Role : Lecturer

  Sponser, Organizer, Publisher  : 日本学術振興会

  Event, Program, Title : ひらめき☆ときめきサイエンス ー KAKENHI ー

Media Coverage

• 公開講座

  Date : 2017/11/12

  Publisher, broadcasting station: 北海道大学電子科学研究所附属社会創造数学研究センター

  Program, newspaper magazine: JST数学キャラバン 第23回拡がりゆく数学 in 北海道
• 公開シンポジウム「共生する数学」

  Date : 2011/10/09

  Publisher, broadcasting station: 科学技術振興機構・金沢大学

  Program, newspaper magazine: JST数学キャラバン