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2013 Fiscal Year Final Research Report

Modeling and analysis of strong interactions among heterogenous localized patterns and its applications to biological problems

Planned Research

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Project AreaThe study on the neural dynamics for understanding communication in terms of complex hetero systems
Project/Area Number 21120003
Research Category

Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

Allocation TypeSingle-year Grants
Review Section Complex systems
Research InstitutionTohoku University (2011-2013)
Hokkaido University (2009-2010)

Principal Investigator

NISHIURA Yasumasa  東北大学, 原子分子材料科学高等研究機構, 教授 (00131277)

Co-Investigator(Kenkyū-buntansha) KOKUBU Hiroshi  京都大学, 大学院理学研究科, 教授 (50202057)
UEDA Keiichi  富山大学, 大学院理工学研究部, 准教授 (00378960)
Co-Investigator(Renkei-kenkyūsha) ARAI Zin  北海道大学, 大学院理学研究院, 准教授 (80362432)
UEDA Keiichi  富山大学, 大学院理工学研究部, 准教授 (00378960)
Project Period (FY) 2009-07-23 – 2014-03-31
Keywordsヘテロ個体 / 余次元 / 反応拡散系 / 大域分岐 / 特異点 / 衝突現象
Research Abstract

We investigated how the system responds to an environmental change in space and time for the following cases: self-generation of traveling pulses at the defect points in the media, synchronization and de-synchronization of EEG by the stimulus of TMS, and a flexible switching of attractors in response to the environmental change. As for the pulse-generators, it was found that double-homoclinic-loop of butterfly type plays an organizing center from dynamical system point of view. An oscillator network model of FHN type with multiple internal states was presented to explain the above dynamical behaviors of EEG. Also it was shown that such a network model has a spontaneous loop-finding ability and robust against the destruction of such structure.

  • Research Products

    (25 results)

All 2014 2013 2012 2011 2010 2009

All Journal Article (15 results) (of which Peer Reviewed: 15 results) Presentation (10 results)

  • [Journal Article] Robust pulse generators in an excitable medium with jump-type heterogeneity2014

    • Author(s)
      M.Yadome, Y.Nishiura, T.Teramoto
    • Journal Title

      SIAM J. Appl. Dyn.Syst.

      Volume: (in press)

    • Peer Reviewed
  • [Journal Article] Multistate network for loop searching system with self-recovery property2014

    • Author(s)
      K.-I.Ueda, M.Yadome, Y.Nishiura
    • Journal Title

      Phys. Rev. E

      Volume: Vol.89 Pages: 022810(1-6)

    • DOI

      10.1103/PhysRevE.89.022810

    • Peer Reviewed
  • [Journal Article] Three-state network design for robust loop-searching systems2013

    • Author(s)
      K.-I.Ueda
    • Journal Title

      Phys. Rev. E

      Volume: Vol.87 Pages: 052920(1-5)

    • DOI

      10.1103/PhysRevE.87.052920

    • Peer Reviewed
  • [Journal Article] Heterogeneity-Induced Pulse Generators2013

    • Author(s)
      Y.Nishiura, T.Teramoto, M.Yadome
    • Journal Title

      Advances in Cognitive Neurodynamics

      Volume: Vol.III Pages: 371-377

    • DOI

      10.1007/978-94-007-4792-0_50

    • Peer Reviewed
  • [Journal Article] Capturing the Global Behavior of Dynamical Systems with Conley-Morse Graphs2013

    • Author(s)
      Zin Arai, Hiroshi Kokubu, Ippei Obayashi
    • Journal Title

      Advances in Cognitive Neurodynamics

      Volume: Vol.III Pages: 665-672

    • DOI

      10.1007/978-94-007-4792-0_89

    • Peer Reviewed
  • [Journal Article] Dynamics of two interfaces in a hybrid system with jump-type heterogeneity2013

    • Author(s)
      K.Nishi, Y.Nishiura, T.Teramoto
    • Journal Title

      Japan J. Indust. Appl. Math

      Volume: Vol.30 Pages: 351-395

    • DOI

      10.1007/s13160-013-0100-x

    • Peer Reviewed
  • [Journal Article] A mathematical mechanism for instabilities in stripe formation on growing domains2012

    • Author(s)
      K.-I.Ueda, Y.Nishiura
    • Journal Title

      Physica D

      Volume: Vol.241 Pages: 37-59

    • DOI

      10.1016/j.physd.2011.09.016

    • Peer Reviewed
  • [Journal Article] Tactic direction determined by the interaction between oscillatory chemical waves and rheological deformation in an amoeba2012

    • Author(s)
      K.-I.Ueda, S.Takagi, T.Nakagaki
    • Journal Title

      Physical Review E

      Volume: Vol.86 Pages: 011927(1-6)

    • DOI

      10.1103/PhysRevE.86.011927

    • Peer Reviewed
  • [Journal Article] Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system2012

    • Author(s)
      Y.Nishiura, T.Teramoto, X.Yuan
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: Vol.11 Pages: 307-338

    • DOI

      10.3934/cpaa.2012.11.307

    • Peer Reviewed
  • [Journal Article] Collision dynamics in Dissipative Systems2011

    • Author(s)
      Y.Nishiura, T.Teramoto
    • Journal Title

      Theoretical and Applied Mechanics,Japan

      Volume: Vol.59 Pages: 13-25

    • DOI

      10.11345/nctam.59.13

    • Peer Reviewed
  • [Journal Article] Mathematical model for contemplative amoeboid locomotion2011

    • Author(s)
      K.-I.Ueda, S.Takagi, Y.Nishiura, T.Nakagaki
    • Journal Title

      Physical Review E

      Volume: Vol.83 Pages: 021916(1-9)

    • DOI

      10.1103/PhysRevE.83.021916

    • Peer Reviewed
  • [Journal Article] Pinned fronts in heterogeneous media of jump type2010

    • Author(s)
      P.van Heijster, A.Doelman, T.J.Kaper, Y.Nishiura, K.-I.Ueda
    • Journal Title

      Nonlinearity

      Volume: Vol.24 Pages: 127-157

    • DOI

      10.1088/0951-7715/24/1/007

    • Peer Reviewed
  • [Journal Article] Morphological characterization of the diblock copolymer problem with topological computation2010

    • Author(s)
      T.Teramoto, Y.Nishiura
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: Vol.27 Pages: 175-190

    • DOI

      10.1007/s13160-010-0014-9

    • Peer Reviewed
  • [Journal Article] Rotational motion of traveling spotsin dissipative systems2009

    • Author(s)
      T.Teramoto, K.Suzuki, Y.Nishiura
    • Journal Title

      Phys. Rev. E

      Volume: Vol.80 Pages: 046208(1-10)

    • DOI

      10.1103/PhysRevE.80.046208

    • Peer Reviewed
  • [Journal Article] Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity2009

    • Author(s)
      SI.Ei, Y.Nishiura, K.-I.Ueda
    • Journal Title

      Journal of Math-for-industry

      Volume: Vol.1 Pages: 91-95

    • URL

      http://catalog.lib.kyushu-u.ac.jp/ja/recordID/15583?hit=1&caller=xc-search

    • Peer Reviewed
  • [Presentation] 時間周期構造から空間周期構造へ2013

    • Author(s)
      西浦廉政
    • Organizer
      第23回「非線形反応と協同現象」研究会
    • Place of Presentation
      北海道大学学術交流会館,札幌
    • Year and Date
      2013-12-17
  • [Presentation] A computational approach to spontaneous pulse generators in dissipative systems2013

    • Author(s)
      Y.Nishiura
    • Organizer
      2013 Northeastern Asia Symposium on High Performance Computing Methods and Modeling
    • Place of Presentation
      Chengdu, China
    • Year and Date
      2013-09-23
  • [Presentation] Dynamics of dissipative solitons in heterogeneous media and its application to biological problems2013

    • Author(s)
      Y.Nishiura
    • Organizer
      International Workshop "From SoftMatter to Protocell"
    • Place of Presentation
      Tohoku University, Sendai
    • Year and Date
      2013-09-20
  • [Presentation] Transient dynamics of neural oscillators induced by nonlinear interactions2013

    • Author(s)
      Kei-Ichi Ueda, Yasumasa Nishiura, Yoko Yamaguchi, Keiichi Kitajo
    • Organizer
      International conference on cognitiveneurodynamics 2013
    • Place of Presentation
      Sigtuna, Sweden
    • Year and Date
      2013-06-24
  • [Presentation] Three-state Node Network for Loop Searching System2013

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      IMA Special Workshop Joint US-Japan Conference for Young Researchers on Interactions among Localized PatternsinDissipative Systems
    • Place of Presentation
      University of Minnesota, Minneapolis, USA
    • Year and Date
      2013-06-13
  • [Presentation] Loop Searching Systemwith Self-RecoveryProperty2013

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird, USA
    • Year and Date
      2013-05-20
  • [Presentation] A converter from time-periodicity to spatial-periodicity2013

    • Author(s)
      Y.Nishiura
    • Organizer
      Mathematics and Biology : a Roundtrip in the Light of Suns and Stars
    • Place of Presentation
      Lorentz Center, Leiden, the Netherlands
    • Year and Date
      2013-04-16
  • [Presentation] Heterogeneity-induced pulse generators2012

    • Author(s)
      Y.Nishiura
    • Organizer
      2012 International Conference on Modeling, Analysis andSimulation
    • Place of Presentation
      Meiji University, Tokyo
    • Year and Date
      2012-11-08
  • [Presentation] Pulse generators as a converter from time-periodic motion to spatially periodic structure2012

    • Author(s)
      Y.Nishiura
    • Organizer
      Dynamical Systems in Studies of Partial Differential Equations
    • Place of Presentation
      University ofMinnesota, Minneapolis, USA
    • Year and Date
      2012-09-25
  • [Presentation] Heterogeneity-induced pulse generators2012

    • Author(s)
      Y.Nishiura
    • Organizer
      Turing Symposium on Morphogenesis -Mathematical Approaches Sixty Years after AlanTuring-
    • Place of Presentation
      Sendai International Center, Sendai
    • Year and Date
      2012-08-29

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Published: 2015-06-25  

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