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2010 Fiscal Year Final Research Report

Mathematical mechanism for periodic structure formation of somitogenesis

Research Project

  • PDF
Project/Area Number 20740224
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionChitose Institute of Science and Technology

Principal Investigator

TERAMOTO Takashi  千歳科学技術大学, 総合光科学部, 准教授 (40382543)

Project Period (FY) 2008 – 2010
Keywords反応拡散系 / 数値解析 / 生物物理
Research Abstract

Heterogeneity is one of the most important and ubiquitous types of external perturbations with respect to pulse propagation in biological signal processing. To know the behaviors of pulse waves in such media is closely related to studying the collision process between the pulse and the heterogeneity-induced-ordered pattern. The reduced dynamics near a singularity is able to capture the rotational spot motion in the full partial differential equations by ordinary differential equations. We also study a spontaneous pulse generating mechanism caused by the heterogeneity of jump type. Exploring the global bifurcation structure of PGs as periodic solutions, we find firstly the conditions under which they emerge, i.e., the onset of pulse generators, secondly a candidate for the organizing center producing their variety.

  • Research Products

    (15 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (7 results) (of which Peer Reviewed: 5 results) Presentation (7 results) Remarks (1 results)

  • [Journal Article] Heterogeneity-induced pulse generators2012

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

      Advances in Cognitive Neurodynamics III

      Volume: (印刷中), (Springer)

    • Peer Reviewed
  • [Journal Article] 砂漠化問題のバスタブモデル2010

    • Author(s)
      西浦廉政, 寺本敬
    • Journal Title

      数理科学

      Volume: Vol. 563 Pages: 70-77

  • [Journal Article] What is the origin of rotational motion in dissipative systems ?2010

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

      数理解析研究所講究録

      Volume: Vol.1680 Pages: 5-11

  • [Journal Article] Collision Dynamics in dissipative systems2010

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

      Theoretical and Applied Mechanics Japan

      Volume: Vol.59 Pages: 13-25

    • 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 Pages: 046208-1-046208-8

    • DOI

      DOI:10.1103/PhysRevE.80.046208

    • Peer Reviewed
  • [Journal Article] Information exchange between moving particles and defects2009

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

      Natural Computing, Proceedings in Information and Communications

      Volume: Vol.1 Pages: 238-249

    • Peer Reviewed
  • [Journal Article] Onset of unidirectional pulse propagation in an excitable medium with asymmetric heterogeneity2009

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

      Physical Review E

      Volume: Vol.79 Pages: 046205-1-046205-16

    • DOI

      DOI:10.1103/PhysRevE.79.046205

    • Peer Reviewed
  • [Presentation] 媒質の非一様性が誘起する自発的パルス生成2011

    • Author(s)
      寺本敬, 西浦廉政, 矢留雅亮
    • Organizer
      日本物理学会 2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-23
  • [Presentation] Deformation-induced spot dynamics for a three-component system2011

    • Author(s)
      T.Teramoto
    • Organizer
      ICIAM2011
    • Place of Presentation
      Vancouver
    • Year and Date
      2011-07-18
  • [Presentation] Dynamics of traveling spots in heterogeneous media2010

    • Author(s)
      T.Teramoto
    • Organizer
      International Workshop on “Emerging Topics in Nonlinear Science”
    • Place of Presentation
      Goldrain
    • Year and Date
      2010-09-14
  • [Presentation] 非一様媒質中における進行スポット解のダイナミクス2010

    • Author(s)
      寺本敬, 鈴木勝也, 西浦廉政
    • Organizer
      日本応用数理学会 2010 年度年会
    • Place of Presentation
      明治大学
    • Year and Date
      2010-09-07
  • [Presentation] 散逸系における2次元スポット解のダイナミクス2010

    • Author(s)
      寺本敬
    • Organizer
      ワークショップ「創発現象の世界 2」
    • Place of Presentation
      九州大学
    • Year and Date
      2010-06-11
  • [Presentation] Rotational motion of traveling spots in dissipative systems2009

    • Author(s)
      T.Teramoto, K.Suzuki, Y.Nishiura
    • Organizer
      International Workshop on “Collective dynamics and pattern formation in active matter systems”
    • Place of Presentation
      Berlin
    • Year and Date
      2009-11-25
  • [Presentation] Dynamics of Localized Patterns in Heterogeneous Media2008

    • Author(s)
      T.Teramoto, K.Ueda, X.Yuan, Y.Nishiura
    • Organizer
      SIAM Conference on Nonlinear Waves and Coherent Structures
    • Place of Presentation
      Roma
    • Year and Date
      2008-07-24
  • [Remarks] 国際研究集会「Far-From-Equilibrium Dynamics」京都大学数理解析研究所, 2011年 1月4日-8日, Organizing Committee

    • URL

      http://www.ffed11.org

URL: 

Published: 2013-07-31  

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