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Mathematical modeling of collectiove motion of self-propelled systems and its analysis

Research Project

Project/Area Number 16H03949
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionHokkaido University

Principal Investigator

NAGAYAMA MASAHARU  北海道大学, 電子科学研究所, 教授 (20314289)

Co-Investigator(Kenkyū-buntansha) 小俣 正朗  金沢大学, 数物科学系, 教授 (20214223)
北畑 裕之  千葉大学, 大学院理学研究院, 准教授 (20378532)
Ginder Elliott  明治大学, 総合数理学部, 専任准教授 (30648217)
中村 健一  金沢大学, 数物科学系, 准教授 (40293120)
田中 晋平  広島大学, 総合科学研究科, 准教授 (40379897)
中田 聡  広島大学, 理学研究科, 教授 (50217741)
末松 信彦  明治大学, 総合数理学部, 専任准教授 (80542274)
Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000)
Fiscal Year 2019: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2016: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Keywords数理モデリング / 数値シミュレーション / 分機解析 / 集団運動 / 自己組織化 / 計算機援用分岐解析 / 界面科学 / 分岐解析 / 応用数学 / パターン形跡 / 自励往復現象 / 渋滞現象 / 分岐現象 / モデル化
Outline of Final Research Achievements

We carried out mathematical modeling of the self-propelled system and performed mathematical analysis of the mathematical model. In this research, together with the experimental group, we solved the mechanism of oscillation phenomena about the self-propelled material by mathematical modeling. Moreover, it was clarified that the mechanism of collective motion that occurs when multiple self-propelled materials float on the water is not caused by the capillarity phenomenon but is caused by the concentration gradient of the chemical substances contained in the aqueous solution near the water surface. In addition, we have clarified the mechanism of the interaction motion between the string-shaped self-propelled materials and the shape-dependent interaction motion between the self-propelled materials by mathematical modeling and theoretical analysis.

Academic Significance and Societal Importance of the Research Achievements

自己駆動系と呼ばれる化学的または物理的環境に応答しながら駆動する無生物実験系は,生物の群れの運動や細胞運動等の生命現象を理論的に理解する道具として重要な系となっている.この系に現れる現象の理論解析を行うためには,現象を記述する数理モデリングが必須である.この研究では,液滴の集団運動や自律的に周期運動する実験系に注目して,その運動を再現する数理モデリングを行い,その解析から運動が生じるメカニズムの解明を行った.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (117 results)

All 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (9 results) Journal Article (40 results) (of which Int'l Joint Research: 18 results,  Peer Reviewed: 40 results,  Open Access: 17 results,  Acknowledgement Compliant: 2 results) Presentation (60 results) (of which Int'l Joint Research: 29 results,  Invited: 29 results) Book (3 results) Remarks (3 results) Funded Workshop (2 results)

  • [Int'l Joint Research] ポーランド科学アカデミー(ポーランド)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] マックスプランク研究所(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] トレント大学(イタリア)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] プラハ化学技術大学(チェコ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Polish Academy of Science(ポーランド)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Florida State University(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] マックスプランク研究所(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ポーランド科学アカデミー(ポーランド)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Newcastle Universty(英国)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Live imaging of alterations in cellular morphology and organelles during cornification using an epidermal equivalent model2020

    • Author(s)
      Ipponjima Sari、Umino Yuki、Nagayama Masaharu、Denda Mitsuhiro
    • Journal Title

      Scientific Reports

      Volume: 10 Issue: 1 Pages: 5515-5515

    • DOI

      10.1038/s41598-020-62240-3

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Diffusion in crowded colloids of particles cyclically changing their shapes2020

    • Author(s)
      Koyano Y.、Kitahata H.、Mikhailov A. S.
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 128 Issue: 4 Pages: 40003-40003

    • DOI

      10.1209/0295-5075/128/40003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On a simple model that explains inversion of a self-propelled rotor under periodic stop-and-release-operations2020

    • Author(s)
      Koyano Yuki、Kitahata Hiroyuki、Nakata Satoshi、Gorecki Jerzy
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 30 Issue: 2 Pages: 023105-023105

    • DOI

      10.1063/1.5140626

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Experimental study on the bifurcation of a density oscillator depending on density difference2020

    • Author(s)
      Hiroaki Ito, Taisuke Itasaka, Nana Takeda, Hiroyuki Kitahata
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 129 Issue: 1 Pages: 18001-18001

    • DOI

      10.1209/0295-5075/129/18001

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Reduced model of a reaction-diffusion system for the collective motion of camphor boats2019

    • Author(s)
      K. Ikeda, S-.I. Ei, M.Nagayama, M. Okamoto and A. Tomoeda
    • Journal Title

      Physical Review E

      Volume: 99 Issue: 6 Pages: 062208-062208

    • DOI

      10.1103/physreve.99.062208

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Start of Micrometer-Sized Oil Droplet Motion through Generation of Surfactants2019

    • Author(s)
      Kasuo Yui、Kitahata Hiroyuki、Koyano Yuki、Takinoue Masahiro、Asakura Kouichi、Banno Taisuke
    • Journal Title

      Langmuir

      Volume: 35 Issue: 41 Pages: 13351-13355

    • DOI

      10.1021/acs.langmuir.9b01722

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Free-energy model of phase inversion dynamics in binary phase separation2019

    • Author(s)
      Kubo Yoshihide、Tanaka Shinpei、Yamazaki Yoshihiro
    • Journal Title

      Physical Review E

      Volume: 100 Issue: 2 Pages: 022137-022137

    • DOI

      10.1103/physreve.100.022137

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interfacial Dynamics in the Spontaneous Motion of an Aqueous Droplet2019

    • Author(s)
      Suematsu Nobuhiko J.、Saikusa Kazumi、Nagata Toshiki、Izumi Shunsuke
    • Journal Title

      Langmuir

      Volume: 35 Issue: 35 Pages: 11601-11607

    • DOI

      10.1021/acs.langmuir.9b01866

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamical Quorum Sensing in Non-Living Active Matter2019

    • Author(s)
      Matsuda Yui、Ikeda Kota、Ikura Yumihiko、Nishimori Hiraku、Suematsu Nobuhiko J.
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 88 Issue: 9 Pages: 093002-093002

    • DOI

      10.7566/jpsj.88.093002

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Chemical Wave Propagation in the Belousov?Zhabotinsky Reaction Controlled by Electrical Potential2019

    • Author(s)
      Kuze Masakazu、Horisaka Mari、Suematsu Nobuhiko J.、Amemiya Takashi、Steinbock Oliver、Nakata Satoshi
    • Journal Title

      The Journal of Physical Chemistry A

      Volume: 123 Issue: 23 Pages: 4853-4857

    • DOI

      10.1021/acs.jpca.9b02636

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Self-Propelled Motion of a Coumarin Disk Characteristically Changed in Couple with Hydrolysis on an Aqueous Phase2019

    • Author(s)
      Nakata Satoshi、Irie Yasutaka、Suematsu Nobuhiko J.
    • Journal Title

      The Journal of Physical Chemistry B

      Volume: 123 Issue: 19 Pages: 4311-4317

    • DOI

      10.1021/acs.jpcb.8b11534

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Self-Propelled Motion of a Camphor Disk on a Photosensitive Amphiphilic Molecular Layer2019

    • Author(s)
      Nakata Satoshi、Nasu Kyoko、Irie Yasutaka、Hatano Sayaka
    • Journal Title

      Langmuir

      Volume: 35 Issue: 12 Pages: 4233-4237

    • DOI

      10.1021/acs.langmuir.8b04285

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modeling studies of heterogeneities in glycolytic oscillations in HeLa cervical cancer cells2019

    • Author(s)
      Amemiya Takashi、Shibata Kenichi、Du Yichen、Nakata Satoshi、Yamaguchi Tomohiko
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 29 Issue: 3 Pages: 033132-033132

    • DOI

      10.1063/1.5087216

    • NAID

      120006633346

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Bifurcation in the angular velocity of a circular disk propelled by symmetrically distributed camphor pills2019

    • Author(s)
      Koyano Yuki、Kitahata Hiroyuki、Gryciuk Marian、Akulich Nadejda、Gorecka Agnieszka、Malecki Maciej、Gorecki Jerzy
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 29 Issue: 1 Pages: 013125-013125

    • DOI

      10.1063/1.5061027

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Rotational motion of a camphor disk in a circular region2019

    • Author(s)
      Koyano Yuki、Suematsu Nobuhiko J.、Kitahata Hiroyuki
    • Journal Title

      Physical Review E

      Volume: 99 Issue: 2 Pages: 022211-022211

    • DOI

      10.1103/physreve.99.022211

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system2019

    • Author(s)
      Guo Jong-Shenq、Nakamura Ken-Ichi、Ogiwara Toshiko、Wu Chin-Chin
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 472 Issue: 2 Pages: 1534-1550

    • DOI

      10.1016/j.jmaa.2018.12.007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dancing performance of organic droplets in aqueous surfactant solutions2019

    • Author(s)
      J. Cejkova, K. Schwarzenberger, K. Eckert, and S. Tanaka
    • Journal Title

      Collids Surf. A

      Volume: 566 Pages: 141-147

    • DOI

      10.1016/j.colsurfa.2019.01.027

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Synchronization of self-propelled soft pendulums2018

    • Author(s)
      Elliott Ginder, Katsuhiko Kayahara, Masakazu Kuze, Satoshi Nakata, Masaharu Nagayama, Hiraku Nishimori
    • Journal Title

      Soft Matter

      Volume: 14 Issue: 19 Pages: 3791-3798

    • DOI

      10.1039/c8sm00517f

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] JAK/STAT guarantees robust neural stem cell differentiation by shutting off biological noise2018

    • Author(s)
      Tanaka Yoshitaro、Yasugi Tetsuo、Nagayama Masaharu、Sato Makoto、Ei Shin-Ichiro
    • Journal Title

      Scientific Reports

      Volume: 8 Issue: 1 Pages: 12484-12484

    • DOI

      10.1038/s41598-018-30929-1

    • NAID

      120006536943

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Mathematical-model-guided development of full-thickness epidermal equivalent2018

    • Author(s)
      Kumamoto Junichi、Nakanishi Shinobu、Makita Mio、Uesaka Masaaki、Yasugahira Yusuke、Kobayashi Yasuaki、Nagayama Masaharu、Denda Sumiko、Denda Mitsuhiro
    • Journal Title

      Scientific Reports

      Volume: 8 Issue: 1 Pages: 17999-17999

    • DOI

      10.1038/s41598-018-36647-y

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Interplay between epidermal stem cell dynamics and dermal deformation2018

    • Author(s)
      Kobayashi Yasuaki、Yasugahira Yusuke、Kitahata Hiroyuki、Watanabe Mika、Natsuga Ken、Nagayama Masaharu
    • Journal Title

      npj Computational Materials

      Volume: 4 Issue: 1 Pages: 45-45

    • DOI

      10.1038/s41524-018-0101-z

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Evolution of Self-Propelled Objects: From the Viewpoint of Nonlinear Science2018

    • Author(s)
      Suematsu Nobuhiko J.、Nakata Satoshi
    • Journal Title

      Chemistry - A European Journal

      Volume: 24 Issue: 24 Pages: 6308-6324

    • DOI

      10.1002/chem.201705171

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Reciprocating Motion of a Self-Propelled Rotor Induced by Forced Halt and Release Operations2018

    • Author(s)
      Nakata Satoshi、Kayahara Katsuhiko、Yamamoto Hiroya、Skrobanska Paulina、Gorecki Jerzy、Awazu Akinori、Nishimori Hiraku、Kitahata Hiroyuki
    • Journal Title

      The Journal of Physical Chemistry C

      Volume: 122 Issue: 6 Pages: 3482-3487

    • DOI

      10.1021/acs.jpcc.7b12089

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Interaction of non-radially symmetric camphor particles,2017

    • Author(s)
      Shin-Ichiro Ei, Hiroyuki Kitahata, Yuki Koyano, Masaharu Nagayama
    • Journal Title

      Physica D

      Volume: 366 Pages: 10-26

    • DOI

      10.1016/j.physd.2017.11.004

    • NAID

      120006769933

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Traveling pulse solutions in a point mass model of diffusing particles2017

    • Author(s)
      E. Ginder, T. Minomo, M. Nagayama, S. Nakata and H. Yamamoto
    • Journal Title

      Computer Methods in Materials Science

      Volume: 17 Pages: 111-121

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sustained dynamics of a weakly excitable system with nonlocal interactions2017

    • Author(s)
      Yasuyuki Kobayashi, Hiroyuki Kitahata, and Masaharu Nagayama
    • Journal Title

      Physical Review E

      Volume: 96 Issue: 2 Pages: 022213-022213

    • DOI

      10.1103/physreve.96.022213

    • NAID

      120006363252

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Type XVII collagen coordinates proliferation in the interfollicular epidermis.2017

    • Author(s)
      Watanabe M, Natsuga K, Nishie W, Kobayashi Y, Donati G, Suzuk Si, Fujimura Y, Tsukiyama T, Ujiie H, Shinkuma S, Nakamura H, Murakami M, Ozaki M, Nagayama M, Watt F and Shimizu H
    • Journal Title

      eLife

      Volume: 6:e26635 Pages: 1-24

    • DOI

      10.7554/elife.26635

    • NAID

      120006337772

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Self-inverted reciprocation of an oil droplet on a surfactant solution2017

    • Author(s)
      Yusuke Satoh, Yoshimi Sogabe, Katsuhiko Kayahara, Shinpei Tanaka, Masaharu Nagayama, and Satoshi Nakata
    • Journal Title

      Soft Matter

      Volume: 13 Issue: 18 Pages: 3422-3430

    • DOI

      10.1039/c7sm00252a

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Achilles’ heel of a traveling pulse subject to a local external stimulus2017

    • Author(s)
      K. Nishi, S. Suzuki, K. Kayahara, M. Kuze, H. Kitahata, S. Nakata, Y. Nishiura
    • Journal Title

      Physical Review E

      Volume: 95 Issue: 6 Pages: 1-8

    • DOI

      10.1103/physreve.95.062209

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Relationship between the size of a camphor-driven rotor and its angular velocity2017

    • Author(s)
      Yuki Koyano, Marian Gryciuk, Paulina Skrobanska, Maciej Malecki, Yutaka Sumino, Hiroyuki Kitahata, and Jerzy Gorecki
    • Journal Title

      Physical Review E

      Volume: 96 Issue: 1 Pages: 012609-012609

    • DOI

      10.1103/physreve.96.012609

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Unidirectional motion of a camphor disk on water forced by interactions between surface camphor concentration and dynamically changing boundaries2017

    • Author(s)
      J. Gorecki, H. Kitahata, N. J. Suematsu, Y. Koyano, P. Skrobanska, M. Gryciuk, M. Malecki, T. Tanabe, H. Yamamoto, S. Nakata
    • Journal Title

      Physical Chemistry Chemical Physics

      Volume: 19 Issue: 28 Pages: 18767-18772

    • DOI

      10.1039/c7cp03252h

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] equence selection by dynamical symmetry breaking in an autocatalytic binary polymer model2017

    • Author(s)
      Harold Fellermann, Shinpei Tanaka, and Steen Rasmussen
    • Journal Title

      Phys. Rev. E

      Volume: 96 Issue: 6 Pages: 062407-062407

    • DOI

      10.1103/physreve.96.062407

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dynamic ordering in a swarm of floating droplets driven by solutal Marangoni effect2017

    • Author(s)
      Shinpei Tanaka, Satoshi Nakata and Takeshi Kano
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 86 Issue: 10 Pages: 101004-101004

    • DOI

      10.7566/jpsj.86.101004

    • NAID

      210000134520

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Oscillatory motion of a camphor grain in a one-dimensional finite region2016

    • Author(s)
      Yuki Koyano, Tatsunari Sakurai, Hiroyuki Kitahata
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 4 Pages: 042215-042215

    • DOI

      10.1103/physreve.94.042215

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Acceleration or deeleration of self-motion by the Marangoni effect2016

    • Author(s)
      Yui Matsuda, Nobuhiko J. Suematsu, Hiroyuki Kitahata, Yumihiko S.Ikura, Satoshi Nakata
    • Journal Title

      Chemical Physics Letters

      Volume: 654 Pages: 92-96

    • DOI

      10.1016/j.cplett.2016.05.008

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Selection of the Rotation Direction for a Camphor Disk Resulting from Chiral Asymmetry of a Water Chamber2016

    • Author(s)
      Satoshi Nakata, Hiroya Yamamoto, Yuki Koyano, Osamu Yamanaka, Yutaka Sumino, Nobuhiko J. Suematsu, Hiroyuki Kitahata, Paulina Skrobanska, Jerzy Gorecki
    • Journal Title

      Journal of Physical Chemistry B

      Volume: 120 Issue: 34 Pages: 9166-9172

    • DOI

      10.1021/acs.jpcb.6b05427

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Oscillation of speed of a self-propelled Belousov-Zhabotinsky droplet2016

    • Author(s)
      N. J. Suematsu, Y. Mori, T. Amemiya, S. Nakata
    • Journal Title

      The Journal of Physical Chemistry Letters

      Volume: 7 Issue: 17 Pages: 3424-3428

    • DOI

      10.1021/acs.jpclett.6b01539

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Synchronization of Two Self-Oscillating Gels Based on Chemo-Mechanical Coupling2016

    • Author(s)
      Kentaro Ito, Takato Ezaki, Shogo Suzuki, Ryo Kobayashi, Yusuke Hara and Satoshi Nakata
    • Journal Title

      The journal of physical chemistry B

      Volume: 120 Issue: 11 Pages: 2977-2983

    • DOI

      10.1021/acs.jpcb.6b00873

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 双曲型自由境界問題の数理解析及び数値解析(付着・剥離・衝突の数理解析)2016

    • Author(s)
      小俣正朗
    • Journal Title

      数学(岩波書店 日本数学会編集)

      Volume: 4 Pages: 68-68

    • NAID

      130006725306

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Flux of Euglena gracilis Cells Depends on the Gradient of Light Intensity2016

    • Author(s)
      T. Ogawa, E. Shoji, N. J. Suematsu, H. Nishimori, S. Izumi, A. Awazu and M. Iima
    • Journal Title

      PLoS ONE

      Volume: 11 Issue: 12 Pages: e0168114-e0168114

    • DOI

      10.1371/journal.pone.0168114

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] 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2020

    • Author(s)
      岡本守,森篤志,長山雅晴
    • Organizer
      北陸応用数理研究会2020
    • Related Report
      2019 Annual Research Report
  • [Presentation] 脳により駆動される回転子の記憶効果:流体効果を取り入れた数理モデル2020

    • Author(s)
      北畑裕之,小谷野由紀,中田聡,Jerzy Gorecki
    • Organizer
      日本物理学会第75回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Non-trivial traveling wave solution of a particle-reaction-diffusion equation2019

    • Author(s)
      M. Okamoto, T. Gotoda, M. Nagayama
    • Organizer
      Mini Workshop of Dynamics of localized patterns for reaction-diffusion systems and related topics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model2019

    • Author(s)
      岡本守,後藤田剛,長山雅晴
    • Organizer
      日本応用数理学会2019年度学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Existence and stability of symmetric solutions of a variational problem for plane curves2019

    • Author(s)
      中村健一,上坂 正晃 ,上田 肇一 ,長山雅晴
    • Organizer
      日本応用数理学会2019年度学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model2019

    • Author(s)
      M. Okamoto, T. Gotoda, M. Nagayama
    • Organizer
      ReaDiNet 2019, Mathematical analysis for biology and ecology
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theoretical analysis of a mathematical model for a self-propelled motion2019

    • Author(s)
      M. Nagayama, M. Okamoto, T. Gotoda, Y. Yasugahira, Y. S. Ikura, S.Nakata
    • Organizer
      ReaDiNet 2019, Mathematical analysis for biology and ecology
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical modeling for a self-propelled boat with chemical reaction2019

    • Author(s)
      M. Nagayama
    • Organizer
      Colloquium, Normal University
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical modeling of a self-propelled motion, and its application2019

    • Author(s)
      M. Nagayama
    • Organizer
      China-Japan Workshop for Younger Researchers on Nonlinear Diffusion Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model2019

    • Author(s)
      M. Okamoto, T. Gotoda, M. Nagayama
    • Organizer
      China-Japan Workshop for Younger Researchers on Nonlinear Diffusion Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Existence and non-existence of the asymmetrical rotating solution of the reaction-diffusion particle model2019

    • Author(s)
      岡本守,後藤田剛,長山雅晴
    • Organizer
      応用数学合同研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Periodic collective behaviors of organic solvent droplets on the surface of aqueous surfactant solutions2019

    • Author(s)
      Shinpei Tanaka
    • Organizer
      The 2019 Conference on Artificial Life
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Alexander Mikhailov, 流体力学効果を考慮した活性タンパク質分布のダイナミクス2019

    • Author(s)
      北畑裕之,小谷野由紀
    • Organizer
      日本物理学会2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Self-Propelled Droplets with Internal Chemical States2019

    • Author(s)
      Suematsu Nobuhiko J
    • Organizer
      ICMMA 2019 International Conference on "Spatio-temporal patterns on various levels of the hierarchy of life
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Spontaneous Droplet Motion Driven by an Interfacial Chemical Reaction of Surfactants2019

    • Author(s)
      Suematsu Nobuhiko J
    • Organizer
      Okinawa Colloids 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] アクティブマターの界面運動におけるモデル方程式の数理解析2019

    • Author(s)
      近藤直幹,Elliott Ginder
    • Organizer
      日本数学会(異分野・異業種研究交流会)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 双安定反応拡散系の分岐数値計算2019

    • Author(s)
      長山雅晴
    • Organizer
      反応拡散系のパターンダイナミクス
    • Related Report
      2018 Annual Research Report
  • [Presentation] 自己駆動体運動の数理解析2019

    • Author(s)
      長山雅晴
    • Organizer
      研究集会「反応拡散系と実験の融合」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] (non-)Existence of (a)symmetrically rotating solution for a mathematical model of self-propulsion2019

    • Author(s)
      岡本守,長山雅晴
    • Organizer
      第20回北東数学解析研究会
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theoretical analysis for a mathematical model of a self-propelled motion2018

    • Author(s)
      長山雅晴
    • Organizer
      2018 China-Japan Workshop on Nonlinear Diffustion Problems
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The well-posedness and its short-time asymptotics of the reaction-diffusion-particle model for the camphor motion in two dimension2018

    • Author(s)
      上坂正晃,長山雅晴
    • Organizer
      2018 China-Japan Workshop on Nonlinear Diffustion Problems, Shanghai Normal University,
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非線形現象の数理モデルを作ろう2018

    • Author(s)
      長山雅晴
    • Organizer
      日本数学会秋期総合分科会(市民講演会)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Theoretical analysis for a mathematical model of a self-propelled motion2018

    • Author(s)
      長山雅晴
    • Organizer
      A3 Foresight Program The 5th Joint Workshop, Mathematics of Biology, Fluid Dynamics and Material Sciences
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Theoretical analysis of a mathematical model for a self-propelled motion2018

    • Author(s)
      長山雅晴
    • Organizer
      The 12th AIMS Conference on Dynamical systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hydrodynamic Coupling between Active Matter and Pattern Formation2018

    • Author(s)
      北畑裕之
    • Organizer
      Gordon Research Conference: Oscillations and Dynamic Instabilities in Chemical Systems
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hydrodynamic collective effects of active proteins in biological systems2018

    • Author(s)
      北畑裕之
    • Organizer
      Workshop "Trends in Computational Molecular Biophysics"
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 数密度の増加に誘起されるしょうのう粒の振動運動2018

    • Author(s)
      末松 J. 信彦
    • Organizer
      物理学会 2018年秋季大会(物性)
    • Related Report
      2018 Annual Research Report
  • [Presentation] 非線形科学からの自己駆動物体2018

    • Author(s)
      末松 J. 信彦
    • Organizer
      第69回 コロイドおよび界面化学討論会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Uniqueness and stability of monotone traveling waves for bistable lattice dynamical systems2018

    • Author(s)
      中村健一
    • Organizer
      2018 China-Japan Workshop on Nonlinear Diffusion Problems
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Asymptotic Stability of Traveling Waves for Bistable Lattice Dynamical Systems of Cooperation Type2018

    • Author(s)
      中村健一
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Effect of Diffusion Type on the Propagation Speed of Traveling Fronts in Periodic Environments2018

    • Author(s)
      中村健一
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Free boundary problems of hyperbolic type with a focus on the free boundary conditions2018

    • Author(s)
      小俣正朗
    • Organizer
      The 11th Mathematical Society of Japan (MSJ) Seasonal Institute (SI)
    • Related Report
      2018 Annual Research Report
  • [Presentation] 自走粒子運動の数理モデル2018

    • Author(s)
      長山雅晴
    • Organizer
      2018 軽井沢グラフと解析研究集会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Mathematical modeling and analysis of the self-propelled disk and its collective motions2017

    • Author(s)
      Masaharu Nagayama
    • Organizer
      International Conference on ”Reaction-diffusion system, theory and applications
    • Place of Presentation
      明治大学(東京都・中野区)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 気液界面を自己駆動する液滴集団の動的秩序形成:非対称な相互作用モデルによる理解2017

    • Author(s)
      田中晋平, 加納剛史
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学(大阪府・吹田市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] 自発的にカイラリティを破って動く自己駆動粒子2017

    • Author(s)
      北畑裕之,小谷野由紀,住野豊,Paulina Skrobanska,Jerzy Gorecki
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学(大阪府・吹田市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] 自律運動の反応速度論的制御とその走化性への応用2017

    • Author(s)
      末松 J. 信彦
    • Organizer
      日本化学会
    • Place of Presentation
      慶応義塾大学(神奈川県・横浜市)
    • Year and Date
      2017-03-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] 自励往復運動する液滴の数理モデル2017

    • Author(s)
      長山雅晴
    • Organizer
      非線形現象の数値シミュレーションと解析2017
    • Place of Presentation
      北海道大学(北海道・札幌市)
    • Year and Date
      2017-03-07
    • Related Report
      2016 Annual Research Report
  • [Presentation] 樟脳円盤の集団運動と反応拡散系2017

    • Author(s)
      長山雅晴
    • Organizer
      複雑系数理の新展開
    • Place of Presentation
      北海道大学(北海道・札幌市)
    • Year and Date
      2017-02-15
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 自己駆動粒子の集団運動に対する数理解析2017

    • Author(s)
      長山雅晴
    • Organizer
      函館応用数理解析セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 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2017

    • Author(s)
      岡本守,長山雅晴
    • Organizer
      応用数学合同研究集会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Self-inverted Reciprocation of an Oil Droplet on a Surfactant Solution2017

    • Author(s)
      Yusuke Satoh, Masaharu Nagayama
    • Organizer
      The 18th RIES-Hokudai International Symposium “Kyoku”
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Mathematical model including fluid’s effect of camphor disk’s self-motion2017

    • Author(s)
      Mamoru Okamoto, Masaharu Nagayama
    • Organizer
      The 18th RIES-Hokudai International Symposium “Kyoku”
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Mathematical analysis of the collective motion of camphor disks2017

    • Author(s)
      Masaharu Nagayama
    • Organizer
      Free Boundary Problems and Nonlinear PDEs
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 自己駆動系粒子運動の数理解析2017

    • Author(s)
      長山雅晴
    • Organizer
      千葉大学非線形科学セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 自走粒子系の集団運動に対する数理解析2017

    • Author(s)
      長山雅晴
    • Organizer
      岡山大学解析セミナー
    • Related Report
      2017 Annual Research Report
  • [Presentation] Hydrodynamic coupling between active matters and pattern formation2017

    • Author(s)
      Hiroyuki Kitahata
    • Organizer
      International Symposium on Fluctuation and Structure out of Equilibrium 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-organization, Self-propulsion, Compartmentalization and their application2017

    • Author(s)
      Satoshi Nakata
    • Organizer
      XXXVII Dynamics Days Europe
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-Propelled Objects from Viewpoint of Nonlinear Science2017

    • Author(s)
      Nobuhiko J. Suematsu
    • Organizer
      Active Matter 2018
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonlinear Behavior of a Self-propelled Droplet Coupling with the Belousov-Zhabotinsky Reaction2017

    • Author(s)
      Nobuhiko J. Suematsu
    • Organizer
      XXXVII Dynamics Days Europe
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 自己駆動有機溶媒液滴の集団運動:拡散モデルによる検討2017

    • Author(s)
      田中晋平
    • Organizer
      物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Collective dynamic orderings of oil droplet surfers2017

    • Author(s)
      Shinpei Tanaka
    • Organizer
      SWARM2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Spontaneous Motion of a Droplet under Nonequilibrium Condition2016

    • Author(s)
      Hiroyuki Kitahata
    • Organizer
      17th RIES-Hokudai International Symposium on "柔"
    • Place of Presentation
      ガトーキングダム札幌(北海道・札幌市)
    • Year and Date
      2016-12-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 気液界面を運動するサリチル酸液滴集団の動的秩序形成:一粒子振動と集団振動2016

    • Author(s)
      田中晋平
    • Organizer
      日本物理学会
    • Place of Presentation
      金沢大学(石川県・金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] 自己駆動粒子の集団に現れる運動モード転移2016

    • Author(s)
      末松 J. 信彦
    • Organizer
      日本物理学会
    • Place of Presentation
      金沢大学(石川県・金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Mathematical analysis of the collective motion of camphor disks2016

    • Author(s)
      Masaharu Nagayama
    • Organizer
      International Workshop: Mathematics of Pattern Formation
    • Place of Presentation
      Bedlewo (Poland)
    • Year and Date
      2016-09-11
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Spontaneous recurrence of deposition and dissolution of a solid layer on a solution surface2016

    • Author(s)
      Hiroyuki Kitahata, Tomohiro Sasaki, Nobuhiko J. Suematsu, Tatsunari Sakurai
    • Organizer
      Gordon Research Conferences on Oscillations and Dynamic Instabilities in Chemical Systems
    • Place of Presentation
      Vermont (USA)
    • Year and Date
      2016-07-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] Spatio-temporal behaviors of self-propelled motors characteristically responsive to the environments2016

    • Author(s)
      Satoshi Nakata
    • Organizer
      Gordon Research Conferences on Oscillations and Dynamic Instabilities in Chemical Systems
    • Place of Presentation
      Vermont (USA)
    • Year and Date
      2016-07-17
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Chaotic traveling pulses in some reaction-diffusion system2016

    • Author(s)
      Masaharu Nagayama
    • Organizer
      he 11th AIMS Conference on Dynamical systems, Differential Equations and Applications
    • Place of Presentation
      Orlando(USA)
    • Year and Date
      2016-07-01
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The collective motion of camphor papers in an annular water channel2016

    • Author(s)
      Masaharu Nagayama
    • Organizer
      nternational Workshop in Industrial Mathematics, Campinas University
    • Place of Presentation
      Sao Paulo (Brazil)
    • Year and Date
      2016-05-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] Self-organized Motion: Physicochemical Design based on Nonlinear Dynamics2019

    • Author(s)
      Satoshi Nakata, Vronique Pimienta, Istvn Lagzi, Hiroyuki Kitahata, Nobuhiko J. Suematsu
    • Total Pages
      371
    • Publisher
      Royal Society of Chemistry
    • ISBN
      9781788011662
    • Related Report
      2019 Annual Research Report
  • [Book] Self-organized Motion: Physicochemical Design based on Nonlinear Dynamics (Chapter 1)2018

    • Author(s)
      S. Nakata and M. Nagayama
    • Total Pages
      371
    • Publisher
      e-book of Royal Society of Chemistry
    • ISBN
      9781788013499
    • Related Report
      2018 Annual Research Report
  • [Book] Self-organized Motion: Physicochemical Design based on Nonlinear Dynamics (Chapter 2)2018

    • Author(s)
      HJ. Kitahata, Y. Koyano, K. Iida and M.Nagayma
    • Total Pages
      317
    • Publisher
      e-book of Royal Society of Chemistry
    • ISBN
      9781788013499
    • Related Report
      2018 Annual Research Report
  • [Remarks] Research Work

    • URL

      http://mmc01.es.hokudai.ac.jp/prof/research

    • Related Report
      2019 Annual Research Report 2017 Annual Research Report 2016 Annual Research Report
  • [Remarks] Presentation

    • URL

      http://mmc01.es.hokudai.ac.jp/prof/presen

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report 2017 Annual Research Report 2016 Annual Research Report
  • [Remarks] Research work

    • URL

      http://mmc01.es.hokudai.ac.jp/prof/research

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 2018 China-Japan Workshop on Nonlinear Diffustion Problems2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Free Boundary Problems and Nonlinear PDEs2017

    • Related Report
      2017 Annual Research Report

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Published: 2016-04-21   Modified: 2022-06-10  

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