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

Planned Research

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
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥45,500,000 (Direct Cost: ¥35,000,000、Indirect Cost: ¥10,500,000)
Fiscal Year 2013: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2012: ¥9,880,000 (Direct Cost: ¥7,600,000、Indirect Cost: ¥2,280,000)
Fiscal Year 2011: ¥9,620,000 (Direct Cost: ¥7,400,000、Indirect Cost: ¥2,220,000)
Fiscal Year 2010: ¥13,000,000 (Direct Cost: ¥10,000,000、Indirect Cost: ¥3,000,000)
Fiscal Year 2009: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
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 / 自己組織化 / パターン形成 / 神経科学 / シグナル伝達
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.

Report

(6 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (59 results)

All 2014 2013 2012 2011 2010 2009 Other

All Journal Article (23 results) (of which Peer Reviewed: 22 results) Presentation (29 results) (of which Invited: 8 results) Book (1 results) Remarks (6 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)

    • Related Report
      2013 Final Research Report
    • 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

      Physical Review E

      Volume: 89(2),(published on-line) Issue: 2 Pages: 22810-22810

    • DOI

      10.1103/physreve.89.022810

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Robust pulse generators in an excitable medium with jump-type heterogeneity2014

    • Author(s)
      Masaaki Yadome, Yasumasa Nishiura, Takashi Teramoto
    • Journal Title

      SIAM Journal on Applied Dynamical Systems

      Volume: 印刷中

    • Related Report
      2013 Annual Research Report
    • 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 Issue: 5

    • DOI

      10.1103/physreve.87.052920

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • 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

    • ISBN
      9789400747913, 9789400747920
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • 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

    • ISBN
      9789400747913, 9789400747920
    • Related Report
      2013 Annual Research Report 2013 Final Research Report 2011 Annual Research Report
    • 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 Issue: 2 Pages: 351-395

    • DOI

      10.1007/s13160-013-0100-x

    • NAID

      10031185313

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] About the unfolding of the Hopf-zero singularity2013

    • Author(s)
      Freddy Dumortier, Santiago Ibanez, Hiroshi Kokubu, and Carles Simo
    • Journal Title

      Discrete and Continuous Dynamical Systems A

      Volume: -

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Heterogeneity-induced pulse generators2013

    • Author(s)
      Yasumasa Nishiura, Masaaki Yadome, and Takashi Teramoto
    • Journal Title

      Mathematisches Forschungsinstitut Oberwolfach workshop report

      Volume: 60/2012 Issue: 4 Pages: 68-71

    • DOI

      10.4171/owr/2012/60

    • Related Report
      2012 Annual Research Report
  • [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 Issue: 1 Pages: 37-59

    • DOI

      10.1016/j.physd.2011.09.016

    • NAID

      120003702849

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tacticdirection determined by the interaction betweenoscillatory chemical waves and rheologicaldeformation in an amoeba2012

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

      Physical Review

      Volume: E86 Issue: 1 Pages: 11927-11927

    • DOI

      10.1103/physreve.86.011927

    • Related Report
      2013 Final Research Report
    • 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 Issue: 1 Pages: 307-338

    • DOI

      10.3934/cpaa.2012.11.307

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Collision Dynamics in Dissipative Systems2011

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

      Theoretical and Applied Mechanics Japan

      Volume: 59 Issue: 0 Pages: 13-25

    • DOI

      10.11345/nctam.59.13

    • NAID

      130004463762

    • ISSN
      1348-0693, 1349-4244
    • Related Report
      2013 Final Research Report
    • 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 Issue: 2 Pages: 21916-21916

    • DOI

      10.1103/physreve.83.021916

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Collision dynamics in Dissipative Systems2011

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

      Theoretical and Applied Mechanics Japan

      Volume: 59 Pages: 13-25

    • NAID

      130004604553

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mathematical model for contemplative amoeboid locomotion2011

    • Author(s)
      Kei-Ichi Ueda, Seiji Takagi, Yasumasa Nishiura, Toshiyuki Nakagaki
    • Journal Title

      PHYSICAL REVIEW E

      Volume: vol.83

    • Related Report
      2010 Annual Research Report
    • 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

    • NAID

      130004604553

    • Related Report
      2010 Annual Research Report
    • 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 Issue: 1 Pages: 127-157

    • DOI

      10.1088/0951-7715/24/1/007

    • Related Report
      2013 Final Research Report
    • 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 Issue: 2 Pages: 175-190

    • DOI

      10.1007/s13160-010-0014-9

    • NAID

      10026699997

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Rotational motion of traveling spots in dissipative systems2009

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

      Physical Review E

      Volume: Vol.80 Issue: 4

    • DOI

      10.1103/physreve.80.046208

    • NAID

      120001672681

    • Related Report
      2013 Final Research Report
    • 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

    • NAID

      120001633478

    • URL

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

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity2009

    • Author(s)
      Shin-Ichiro Ei, Yasumasa Nishiura, Kei-Ichi Ueda
    • Journal Title

      Journal of Math-for-industry 1

      Pages: 91-95

    • NAID

      120001633478

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rotational motion of traveling spots in dissipative systems2009

    • Author(s)
      Takashi Teramoto, Katsuya Suzuki, Yasumasa Nishiura
    • Journal Title

      Physical Review E 80

    • NAID

      120001672681

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Analysis of Global Dynamics from Time-series Data: Case Studies2014

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      IMA Workshop "Algebraic Topology in Dynamics, Differential Equations, and Experimental Data"
    • Place of Presentation
      ミネアポリス(ミネソタ大学IMA・アメリカ)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
      札幌(北海道大学学術交流会館)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] A computational approach to spontaneous pulse generators in dissipative systems2013

    • Author(s)
      Yasumasa Nishiura
    • Organizer
      2013 Northeastern Asia Symposium on High Performance Computing Methods and Modeling
    • Place of Presentation
      成都(中国)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Dynamics of dissipative solitons in heterogeneous media and its application to biological problems2013

    • Author(s)
      Yasumasa Nishiura
    • Organizer
      International Workshop "From Soft Matter to Protocell"
    • Place of Presentation
      仙台(東北大学さくらホール)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] A converter from time-periodicity to spatial-periodicity2013

    • Author(s)
      Yasumasa Nishiura
    • Organizer
      Mathematics and Biology : a Roundtrip in the Light of Suns and Stars
    • Place of Presentation
      ライデン(ライデン大学ロレンツセンター・オランダ)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [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 cognitive neurodynamics 2013
    • Place of Presentation
      シグテューナ(スウェーデン)
    • Related Report
      2013 Annual Research Report
  • [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 Patterns in Dissipative Systems
    • Place of Presentation
      ミネアポリス(ミネソタ大学IMA・アメリカ)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Loop Searching System with Self-Recovery Property2013

    • Author(s)
      Kei-Ichi Ueda
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      スノーバード(アメリカ)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 遺伝子ネットワークの新しい捉え方 (2) Fiedler-望月によるFVS理論2013

    • Author(s)
      國府寛司
    • Organizer
      RIMS共同研究「力学系・トポロジーの生命科学・物質科学への応用」
    • Place of Presentation
      滋賀(アクティプラザ琵琶)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 遺伝子ネットワークの力学系理論2013

    • Author(s)
      國府寛司
    • Organizer
      RIMS共同研究「力学系・トポロジーの生命科学・物質科学への応用」
    • Place of Presentation
      滋賀(アクティプラザ琵琶)
    • Related Report
      2013 Annual Research Report
  • [Presentation] A topological computation method for global dynamics and its applications2013

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      Workshop on Industrial and Applied Mathematics
    • Place of Presentation
      北京(CAS・中国)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Dynamical time series analysis using a topological computation method2013

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      2013 Northeastern Asian Symposium on High Performance Computing Methods and Modeling
    • Place of Presentation
      成都(中国)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Detecting Morse Decompositions of the Global Attractor of Regulatory Networks by Time Series Data2013

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      IMA Workshop "Topological Structures in Computational Biology"
    • Place of Presentation
      ミネアポリス(ミネソタ大学IMA・アメリカ)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Heterogeneity-induced pulse generators2012

    • Author(s)
      Yasumasa Nishiura
    • Organizer
      "Dynamics of Patterns" Oberwolfach workshop, Dec16-Dec22, 2012
    • Place of Presentation
      Oberwolfach, Germany
    • Year and Date
      2012-12-20
    • Related Report
      2012 Annual Research Report
    • Invited
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [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
    • Related Report
      2013 Final Research Report
  • [Presentation] Collision dynamics in dissipative systems2012

    • Author(s)
      Y.Nishiura
    • Organizer
      Pattern Formation: The inspiration of Alan Turing
    • Place of Presentation
      St.John's College, Oxford, UK(招待講演)
    • Year and Date
      2012-03-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 散逸系における衝突の世界2010

    • Author(s)
      西浦廉政
    • Organizer
      第59回理論応用力学講演会
    • Place of Presentation
      日本学術会議(東京都港区)(招待講演)
    • Year and Date
      2010-06-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] Rotational Motion of Traveling Spots in Dissipative Systems2010

    • Author(s)
      Y.Nishiura, T.Teramoto
    • Organizer
      SLAM DSPDEs'10-Emerging Topics in Dynamical Systems and Partial Differential Equations-
    • Place of Presentation
      Barcelona, Spain(招待講演)
    • Year and Date
      2010-06-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] 散逸系における2次元スポット解の回転運動2010

    • Author(s)
      寺本敬
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学津島キャンパス(岡山市)
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Rotational motion of traveling spots in dissipative systems2009

    • Author(s)
      Yasumasa Nishiura
    • Organizer
      Collective dynamics and pattern formation in active matter systems
    • Place of Presentation
      Berlin, Garmany
    • Year and Date
      2009-11-25
    • Related Report
      2009 Annual Research Report
  • [Book] 現代界面コロイド科学の事典「生成・伝搬・崩壊のパターンダイナミクス」2010

    • Author(s)
      西浦廉政
    • Publisher
      丸善株式会社
    • Related Report
      2010 Annual Research Report
  • [Remarks] researchmap

    • URL

      http://researchmap.jp/ynishiura/

    • Related Report
      2013 Annual Research Report
  • [Remarks]

    • URL

      http://researchmap.jp/ynishiura/

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www-nsc.es.hokudai.ac.jp/~nishiura/

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://researchmap.jp/ynishiura/

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.jst.go.jp/en/researchdirector/scientificworks/scientificworks_pl.html

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www-nsc.es.hokudai.ac.jp/-nishiura/

    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2023-03-16  

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