• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Mathematical framework for pattern formation of biological systems

Research Project

Project/Area Number 23654036
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionHiroshima University

Principal Investigator

KOBAYASHI Ryo  広島大学, 大学院・理学研究科, 教授 (60153657)

Co-Investigator(Kenkyū-buntansha) MIURA Takashi  京都大学, 大学院・医学研究科, 准教授 (10324617)
TERO Atsushi  九州大学, 数理学研究院, 准教授 (60431326)
Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords形態形成 / 自律分散 / 血管リモデリング / 肺の分岐構造 / 数理モデル / 真正粘菌変形体 / 血管網 / 卵割 / アメーバ運動
Research Abstract

Biological pattern formation is linked to its functionality, and it is quite different from patterns of non-living system. We are trying to construct a mathematical framework to describe biological pattern formations. In this research, we selected pattern formation of lung and remodeling of vascular network as themes, and studied these systems from the point of view of autonomous decentralized system. Concentration of FGF10 in the former and sear stress and pressure of the blood in the latter are the key information, and cells correspond to these local information. Our mathematical model could reproduced functional networks in each case.

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Research-status Report
  • Research Products

    (50 results)

All 2013 2012 2011 Other

All Journal Article (11 results) (of which Peer Reviewed: 8 results) Presentation (38 results) (of which Invited: 6 results) Remarks (1 results)

  • [Journal Article] Modeling lung branching morphogenesis2013

    • Author(s)
      T. Miura
    • Journal Title

      Biological Theories

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Current reinforced random walks for constructing transport network2013

    • Author(s)
      Qi Ma, Anders Johansson, Atsushi Tero, Toshiyuki Nakagaki, David J. T. Sumpter
    • Journal Title

      The Royal Soc. Interface

      Volume: 10 Issue: 80 Pages: 20120806-20120806

    • DOI

      10.1098/rsif.2012.0864

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Novel Control Principle Based on the Discrepancy Function2012

    • Author(s)
      R. Kobayashi, T. Nakagaki and A. Ishiguro
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B31 Pages: 61-77

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Modeling periodic aspect of limb pattern formation2012

    • Author(s)
      B31 : 61-77
    • Journal Title

      Forma

      Volume: 27

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fluid-filled Soft-bodied Amoeboid Robot Inspired by Plasmodium of True Slime Mold2012

    • Author(s)
      T. Umedachi, R. Idei, T. Nakagaki, R. Kobayashi and A. Ishiguro
    • Journal Title

      Advanced Robotics

      Volume: 26 Pages: 693-707

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fiber components of the shoulder superior labrum2012

    • Author(s)
      R. Arai, M. Kobayashi, Y. Toda, S. Nakamura, T. Miura, T. Nakamura
    • Journal Title

      Surgical and Radiologic Anatomy

      Volume: 34 Pages: 49-56

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Novel Control Principle Based on the Discrepancy Function2012

    • Author(s)
      R. Kobayashi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B31 Pages: 61-67

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 原生生物粘菌による組合せ最適化法-物理現象として見た行動知-2011

    • Author(s)
      中垣 俊之、小林 亮
    • Journal Title

      人工知能学会誌

      Volume: 26(5) Pages: 482-493

    • NAID

      110008733599

    • Related Report
      2012 Final Research Report
  • [Journal Article] Traffic optimization in railroad networks using an algorithm mimicking an amoeba-like organism, Physarum plasmadium2011

    • Author(s)
      S. Watanabe, A. Tero, A. Takamatsu and T. nakagaki
    • Journal Title

      Biosystems

      Volume: 105 Pages: 225-232

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 卵割の数理モデル2011

    • Author(s)
      秋山 正和、手老 篤史、小林 亮
    • Journal Title

      数理解析研究所講究録

      Volume: 1748 Pages: 107-124

    • Related Report
      2012 Final Research Report 2011 Research-status Report
  • [Journal Article] 上皮細胞の極性を用いた in vitro における三次元組織構造形成2011

    • Author(s)
      三浦 岳
    • Journal Title

      数理解析研究所講究録

      Volume: 1748 Pages: 125-133

    • Related Report
      2012 Final Research Report 2011 Research-status Report
  • [Presentation] Mathematical Model of the Formation of Vascular Network2012

    • Author(s)
      小林 亮
    • Organizer
      第20回日本血管生物医学会
    • Place of Presentation
      徳島
    • Year and Date
      2012-12-06
    • Related Report
      2012 Final Research Report
  • [Presentation] Visualizing morphogen diffusion dynamics during lung branching morphogenesis in vitro2012

    • Author(s)
      三浦 岳
    • Organizer
      日本血管生物医学会
    • Place of Presentation
      徳島
    • Year and Date
      2012-12-06
    • Related Report
      2012 Final Research Report
  • [Presentation] 適応的ネットワーク形成の数理モデル2012

    • Author(s)
      小林 亮
    • Organizer
      研究集会:ネットワーク構造と生命現象
    • Place of Presentation
      JR 博多シティ
    • Year and Date
      2012-11-03
    • Related Report
      2012 Final Research Report
  • [Presentation] Visualizing Morphogen Diffusion Dynamics in lung branching morphogenesis2012

    • Author(s)
      T. Miura
    • Organizer
      APDBC meeting
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      2012-10-06
    • Related Report
      2012 Final Research Report
  • [Presentation] 計算するアメーバの不思議2012

    • Author(s)
      小林 亮
    • Organizer
      日本機械学会 第22回設計工学・システム部門講演会
    • Place of Presentation
      広島大学
    • Year and Date
      2012-09-27
    • Related Report
      2012 Final Research Report
  • [Presentation] 頭蓋骨の縫合線のパターン形成2012

    • Author(s)
      三浦 岳
    • Organizer
      日本植物学会
    • Place of Presentation
      姫路
    • Year and Date
      2012-09-16
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] 上皮間葉間相互作用による肺の枝分かれ構造形成2012

    • Author(s)
      三浦 岳
    • Organizer
      日本数理生物学会
    • Place of Presentation
      東京
    • Year and Date
      2012-09-13
    • Related Report
      2012 Final Research Report
  • [Presentation] 血管網形成の数理モデル2012

    • Author(s)
      小林 亮
    • Organizer
      第22回日本数理生物学会大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2012-09-12
    • Related Report
      2012 Final Research Report
  • [Presentation] 内皮細胞のメッシュワーク形成と VEGF の拡散ダイナミクス2012

    • Author(s)
      三浦 岳
    • Organizer
      日本数理生物学会
    • Place of Presentation
      岡山
    • Year and Date
      2012-09-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Visualization of FGF10 diffusion dynamics unveils spontaneous pattern formation mechanism during lung branching morphogenesis2012

    • Author(s)
      T. Miura
    • Organizer
      EMBO meeting "Morphogenesis and Dynamics of Multicellular Systems"
    • Place of Presentation
      Heidelberg, Germany
    • Year and Date
      2012-09-08
    • Related Report
      2012 Final Research Report
  • [Presentation] Modeling spontaneous pattern formation of in vitro multicellular systems2012

    • Author(s)
      T. Miura
    • Organizer
      Dresden Institute of Technology
    • Place of Presentation
      Germany
    • Year and Date
      2012-09-06
    • Related Report
      2012 Final Research Report
  • [Presentation] Diffusion in development: its relationship with spontaneous pattern formation2012

    • Author(s)
      T. Miura
    • Organizer
      Turing Symposium on Morphogenesis --Mathematical Approaches Sixty Years after Alan Turing
    • Place of Presentation
      Sendai
    • Year and Date
      2012-08-28
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] Visualizing morphogen diffusion dynamics during lung branching morphogenesis in vitro2012

    • Author(s)
      T. Miura
    • Organizer
      FASEB meeting "The Lung Epithelium in Health & Disease"
    • Place of Presentation
      Boston, USA
    • Year and Date
      2012-07-25
    • Related Report
      2012 Final Research Report
  • [Presentation] Locomotion of Animals, Design of Robots and Mathematics2012

    • Author(s)
      R. Kobayashi
    • Organizer
      Gordon Research Conference, "Oscillations & Dynamic Instabilities in Chemical Systems"
    • Place of Presentation
      Colby College, Waterville, USA
    • Year and Date
      2012-07-19
    • Related Report
      2012 Final Research Report
  • [Presentation] Slow and steady wins the race: relationship between accuracy and speed of Turing pattern formation2012

    • Author(s)
      T. Miura
    • Organizer
      CiE2012
    • Place of Presentation
      Cambridge, UK
    • Year and Date
      2012-06-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Visualizing morphogen diffusion dynamics during lung branching morphogenesis in vitro2012

    • Author(s)
      三浦 岳
    • Organizer
      日本発生生物学会
    • Place of Presentation
      神戸
    • Year and Date
      2012-05-31
    • Related Report
      2012 Final Research Report
  • [Presentation] 粘菌の行動知に学ぶ2012

    • Author(s)
      小林 亮
    • Organizer
      第56回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ
    • Year and Date
      2012-05-22
    • Related Report
      2012 Final Research Report
  • [Presentation] フェーズフィールド法とその応用2012

    • Author(s)
      小林 亮
    • Organizer
      日本解剖学会
    • Place of Presentation
      山梨大学
    • Year and Date
      2012-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] フェーズフィールド法を用いた肺の枝分かれ構造形成のモデル化2012

    • Author(s)
      三浦 岳
    • Organizer
      日本解剖学会
    • Place of Presentation
      山梨大学
    • Year and Date
      2012-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Locomotion of Animals, Robots and Mathematics2012

    • Author(s)
      R. Kobayashi
    • Organizer
      GCOE シンポジウム「階層の連結」
    • Place of Presentation
      Kyoto
    • Year and Date
      2012-02-14
    • Related Report
      2012 Final Research Report
  • [Presentation] Mathematical Model of the Formation of Vascular Network2012

    • Author(s)
      小林 亮
    • Organizer
      第20回日本血管生物医学会学術集会
    • Place of Presentation
      徳島
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 適応的ネットワーク形成の数理モデル2012

    • Author(s)
      小林 亮
    • Organizer
      研究集会:ネットワーク構造と生命現象
    • Place of Presentation
      博多
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Locomotion of Animals, Design of Robots and Mathematics2012

    • Author(s)
      R. Kobayashi
    • Organizer
      Gordon Research Conference, "Oscillations & Dynamic Instabilities in Chemical Systems"
    • Place of Presentation
      Colby College, USA
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 血管網形成の数理モデル2012

    • Author(s)
      小林 亮
    • Organizer
      第22回日本数理生物学会大会
    • Place of Presentation
      岡山
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 粘菌の行動知に学ぶ2012

    • Author(s)
      小林 亮
    • Organizer
      第56回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 計算するアメーバの不思議2012

    • Author(s)
      小林 亮
    • Organizer
      日本機械学会 第22回設計工学・システム部門講演会
    • Place of Presentation
      東広島
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] フェーズフィールド法とその応用2012

    • Author(s)
      小林 亮
    • Organizer
      日本解剖学会総会・全国学術集会(招待講演)
    • Place of Presentation
      山梨大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 粘菌の行動知に学ぶ2011

    • Author(s)
      小林 亮
    • Organizer
      自然の叡智に学ぶ技術セミナー 第2回セミナー「 生物に学ぶソーシャルイノべーション ~個と集団の素敵な関係~ 」
    • Place of Presentation
      大阪科学技術センター
    • Year and Date
      2011-11-28
    • Related Report
      2012 Final Research Report
  • [Presentation] How well does Turing's theory of morphogenesis work?2011

    • Author(s)
      T. Miura
    • Organizer
      数理研研究集会「生物数学の理論とその応用」
    • Place of Presentation
      京都
    • Year and Date
      2011-11-15
    • Related Report
      2012 Final Research Report
  • [Presentation] Design of Robot Control Learned from True Slime Mold2011

    • Author(s)
      R. Kobayashi, T. Nakagaki and A. Ishiguro
    • Organizer
      Problem Solving by Slime Moulds
    • Place of Presentation
      Uppsala, Sweden
    • Year and Date
      2011-09-21
    • Related Report
      2012 Final Research Report
  • [Presentation] Common theory for path genesis of adaptive network2011

    • Author(s)
      A. Tero, T. Nakagaki and R. Kobayashi
    • Organizer
      2nd International conference on Morphological Computation
    • Place of Presentation
      Venice, Italy
    • Year and Date
      2011-09-13
    • Related Report
      2012 Final Research Report
  • [Presentation] Modeling lung branching morphogenesis via epithelial-mesenchymal interaction2011

    • Author(s)
      T. Miura
    • Organizer
      SDB annual meeting
    • Place of Presentation
      Chicago
    • Year and Date
      2011-07-21
    • Related Report
      2012 Final Research Report
  • [Presentation] A Mathematical Model of Cleavage2011

    • Author(s)
      M. Akiyama, A. Tero and R. Kobayashi
    • Organizer
      ECMTB 2011
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2011-06-30
    • Related Report
      2012 Final Research Report 2011 Research-status Report
  • [Presentation] Modeling of the Adaptive Network of True Slime Mold2011

    • Author(s)
      A. Tero, T. Nakagaki and R. Kobayashi
    • Organizer
      ECMTB 2011
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2011-06-30
    • Related Report
      2012 Final Research Report
  • [Presentation] A mathematical model for the mode transition of locomotion in Amoeba proteus2011

    • Author(s)
      T. Kazama, T. Okuno, K. Ito, T. Nakagaki and R. Kobayashi
    • Organizer
      ECMTB 2011
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2011-06-30
    • Related Report
      2012 Final Research Report 2011 Research-status Report
  • [Presentation] Modeling lung branching morphogenesis via epithelial-mesen- chymal interaction2011

    • Author(s)
      T. Miura
    • Organizer
      第44回日本発生生物学会
    • Place of Presentation
      沖縄
    • Year and Date
      2011-05-20
    • Related Report
      2012 Final Research Report
  • [Presentation] 粘菌の行動知に学ぶ2011

    • Author(s)
      小林 亮
    • Organizer
      自然の叡智に学ぶ技術セミナー 第2回セミナー「 生物に学ぶソーシャルイノベーション ~ 個と集団の素敵な関係~ 」(招待講演)
    • Place of Presentation
      大阪科学技術センター
    • Related Report
      2011 Research-status Report
  • [Presentation] 計算するアメーバの不思議2011

    • Author(s)
      小林 亮
    • Organizer
      創立130周年記念シンポジウム「自然を探り、社会を変える数理科学:現象数理学の挑戦」(招待講演)
    • Place of Presentation
      明治大学
    • Related Report
      2011 Research-status Report
  • [Remarks]

    • URL

      http://www.kobayashi-lab.jp/kobayashi/index_k.html

    • Related Report
      2012 Final Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi