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Mathematics of cell-cell adhesion: theory and applications

Research Project

Project/Area Number 17K05368
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionRyukoku University (2019-2020)
Kyushu University (2017-2018)

Principal Investigator

Murakawa Hideki  龍谷大学, 先端理工学部, 准教授 (40432116)

Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Discontinued (Fiscal Year 2020)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords応用数学 / 数値解析学 / 細胞接着 / 細胞選別 / 数理モデル / 数理生物学 / 細胞・組織
Outline of Final Research Achievements

In this research, we constructed a mathematical model for the cell-cell adhesion and analyzed the problems related to the model. Furthermore, we applied the mathematical model to elucidate the structure formation of neurons in living organisms. In this work, we have focused on the macroscopic phenomenon at the tissue level, which consists of thousands to millions of cells. Since the research progressed beyond the initial plan, we proceeded to the research on the microscopic phenomenon at the cell level consisting of tens to hundreds of cells.

Academic Significance and Societal Importance of the Research Achievements

細胞同士の接着である細胞接着、細胞が自発的に適切な組織や器官などの構造を作る細胞選別の理解は、生命科学分野における極めて重要な研究課題である。これらの現象を数理的に解明できれば、生物の発生や様々な疾患についてのメカニズムを解明することにつながり、生命科学に与える影響は極めて大きい。本研究では、そのための基盤構築を行った。

Report

(4 results)
  • 2020 Final Research Report ( PDF )
  • 2019 Annual Research Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (54 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (10 results) Journal Article (10 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 9 results,  Open Access: 1 results,  Acknowledgement Compliant: 2 results) Presentation (34 results) (of which Int'l Joint Research: 16 results,  Invited: 30 results)

  • [Int'l Joint Research] Universite de Paris-Sud/Sorbonne Universite(フランス)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Imperial College London(英国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] National University of Lesotho(レソト)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Imperial College London(英国)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Universite de Paris-Sud(フランス)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Universita degli Studi di Genova(Italy)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] University of Vienna(Austria)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] National University of Lesotho(Lesotho)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Universite de Paris-Sud(France)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Imperial College London(英国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Fast reaction limit of reaction-diffusion systems2020

    • Author(s)
      H. Murakawa
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation2019

    • Author(s)
      Jose A Carrillo, Hideki Murakawa, Makoto Sato, Hideru Togashi, Olena Trush
    • Journal Title

      Journal of theoretical biology

      Volume: 474 Pages: 14-24

    • DOI

      10.1016/j.jtbi.2019.04.023

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] N-Cadherin Orchestrates Self-Organization of Neurons within a Columnar Unit in the Drosophila Medulla2019

    • Author(s)
      Trush Olena、Liu Chuyan、Han Xujun、Nakai Yasuhiro、Takayama Rie、Murakawa Hideki、Carrillo Jose A.、Takechi Hiroki、Hakeda-Suzuki Satoko、Suzuki Takashi、Sato Makoto
    • Journal Title

      The Journal of Neuroscience

      Volume: 39 Issue: 30 Pages: 5861-5880

    • DOI

      10.1523/jneurosci.3107-18.2019

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry analysis approach2019

    • Author(s)
      M. Molati and H. Murakawa
    • Journal Title

      Commun. Nonlinear Sci. Numer. Simul.

      Volume: 67 Pages: 253-263

    • DOI

      10.1016/j.cnsns.2018.06.024

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical analysis for nonlinear diffusion problems2018

    • Author(s)
      村川秀樹
    • Journal Title

      数理解析研究所講究録

      Volume: 2094

    • Related Report
      2018 Research-status Report
  • [Journal Article] An efficient linear scheme to approximate nonlinear diffusion problems2018

    • Author(s)
      H. Murakawa
    • Journal Title

      Jpn. J. Ind. Appl. Math.

      Volume: 35(1) Issue: 1 Pages: 71-101

    • DOI

      10.1007/s13160-017-0279-3

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] An efficient linear numerical scheme for the Stefan problem,the porous medium equation and nonlinear cross-diffusion systems2017

    • Author(s)
      M. Molati and H. Murakawa
    • Journal Title

      Proceedings of Equadiff 2017 Conference

      Volume: 1 Pages: 305-314

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Carbon-nanotube geometries as optimal configurations2017

    • Author(s)
      E. Mainini,H. Murakawa,P. Piovano and U. Stefanelli
    • Journal Title

      Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal

      Volume: 15(4) Issue: 4 Pages: 1448-1471

    • DOI

      10.1137/16m1087862

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Vanishing, moving and immovable interfaces in fast reaction limits2017

    • Author(s)
      M. Iida, H. Monobe, H. Murakawa and H. Ninomiya
    • Journal Title

      Journal of Differential Equations

      Volume: 印刷中 Issue: 5 Pages: 2715-2735

    • DOI

      10.1016/j.jde.2017.04.009

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A linear finite volume method for nonlinear cross-diffusion systems2017

    • Author(s)
      H. Murakawa
    • Journal Title

      Numer. Math

      Volume: 136 Issue: 1 Pages: 1-26

    • DOI

      10.1007/s00211-016-0832-z

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 細胞間接着の親和性とモザイクパターン:モデリングと解析2020

    • Author(s)
      村川秀樹
    • Organizer
      反応拡散系と実験の融合3
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 細胞の数理2020

    • Author(s)
      村川秀樹
    • Organizer
      龍谷大学武蔵野大学連携シンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] 細胞接着パターンの数理解析2020

    • Author(s)
      村川秀樹
    • Organizer
      第16回 生物数学の理論とその応用 ~生命現象の定量的理解に向けて~
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Fast reaction limit of reaction-diffusion systems and approximations of nonlinear diffusion problems2019

    • Author(s)
      H. Murakawa
    • Organizer
      Minami Osaka Applied Mathematics Seminar, 南大阪応用数学セミナー
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 反応拡散系の急速反応極限と非線形拡散問題の 反応拡散系近似・線形近似2019

    • Author(s)
      村川秀樹
    • Organizer
      応用数学勉強会2019
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Mathematics of cell-cell adhesion2019

    • Author(s)
      H. Murakawa
    • Organizer
      RIMS Workshop: ”Pattern formation and defects in biology and materials science”
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A population dynamics model of cell-cell adhesion and its numerical analysis2019

    • Author(s)
      H. Murakawa
    • Organizer
      European Numerical Mathematics and Advanced Applications Conference 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 細胞選別現象を理解するための巨視的モデルと微視的モデル2019

    • Author(s)
      村川秀樹
    • Organizer
      非線形偏微分方程式の理論と応用
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Macro- and microscopic models for cell-cell adhesion2019

    • Author(s)
      H. Murakawa
    • Organizer
      Recent Advances in Nonlocal Kinetic, Fluid and Diffusive PDEs
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Modeling and numerical analysis for cell-cell adhesion2019

    • Author(s)
      H. Murakawa
    • Organizer
      ICIAM2019, 9th International Congress on Industrial and Applied Mathematics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis for nonlinear nonlocal aggregation-diffusion equations2019

    • Author(s)
      H. Murakawa
    • Organizer
      Mini-workshop on Nonlinear Diffusion Problems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 細胞接着・細胞選別の理解に向けた数理的アプローチ2019

    • Author(s)
      村川秀樹
    • Organizer
      医数物連携勉強会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 急速反応極限,反応拡散系近似,線形近似2019

    • Author(s)
      村川秀樹
    • Organizer
      反応拡散系のパターンダイナミクス2
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 細胞選別現象解明のための個体群動態モデルと表面張力モデル2019

    • Author(s)
      村川秀樹
    • Organizer
      非線形現象の数値シミュレーションと解析2019
    • Related Report
      2018 Research-status Report
  • [Presentation] 細胞選別を理解するための個体群動態モデルと表面張力モデル2019

    • Author(s)
      村川秀樹
    • Organizer
      反応拡散系と実験の融合
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 反応拡散系の急速反応極限とその応用2019

    • Author(s)
      村川秀樹
    • Organizer
      Nonlinear Evolutionary PDEs and their Equilibrium States II -In honor of the retirement of Professor Yoshio Yamada-
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] A population dynamics model of cell-cell adhesion and its applications2018

    • Author(s)
      H. Murakawa
    • Organizer
      Karlstad Applied Analysis Seminar
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Applications of a population dynamics model of cell-cell adhesion2018

    • Author(s)
      H. Murakawa
    • Organizer
      Journee d'Analyse Non Lineaire
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] An efficient linear scheme for nonlinear diffusion problems2018

    • Author(s)
      H. Murakawa
    • Organizer
      The Seventh China-Japan-Korea Joint Conference on Numerical Mathematics
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A continuous model of cell-cell adhesion and its applications2018

    • Author(s)
      H. Murakawa
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A mathematical model of cell-cell adhesion and its application2018

    • Author(s)
      H. Murakawa
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical Modeling of Cell-cell Adhesion and its Applications2018

    • Author(s)
      H. Murakawa
    • Organizer
      Joint Annual Meeting of 70th JSCB and 51st JSDB
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 細胞間接着の数理モデルとその応用2018

    • Author(s)
      村川秀樹
    • Organizer
      第15回 生物数学の理論とその応用 --次世代の数理科学への展開--
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Mathematical modeling of cell-cell adhesion and its applications2018

    • Author(s)
      村川秀樹
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Research-status Report
  • [Presentation] 急速反応極限問題:解析と応用2018

    • Author(s)
      村川秀樹
    • Organizer
      京都大学談話会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 細胞間接着の数理モデル2018

    • Author(s)
      村川秀樹
    • Organizer
      自己組織化研究会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 細胞間接着の親和性と細胞パターン形成:数理的アプローチ2018

    • Author(s)
      村川秀樹
    • Organizer
      反応拡散系と実験の融合
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 急速反応極限問題の解析2018

    • Author(s)
      村川秀樹
    • Organizer
      金沢解析セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Fast reaction limit : classification and analysis2017

    • Author(s)
      H. Murakawa
    • Organizer
      ReaDiNet 2017: International Conference on Mathematical Biology
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Modeling of cell-cell adhesion and its application2017

    • Author(s)
      H. Murakawa
    • Organizer
      Reaction-Diffusion Systems and Mathematical Modelling in Biology
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification and analysis of fast reaction limit problems2017

    • Author(s)
      H. Murakawa
    • Organizer
      Ito Workshop on Partial Differential Equations
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] An efficient linear scheme for the Stefan problem,the porous medium equation and nonlinear cross-diffusion systems2017

    • Author(s)
      H. Murakawa
    • Organizer
      Equadiff2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis for nonlinear diffusion problems2017

    • Author(s)
      村川秀樹
    • Organizer
      RIMS共同研究 数値解析学の最前線 - 理論・方法・応用 -
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 急速反応極限問題の分類と解析2017

    • Author(s)
      村川秀樹
    • Organizer
      RIMS共同研究 非線形現象と反応拡散方程式
    • Related Report
      2017 Research-status Report
    • Invited

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Published: 2017-04-28   Modified: 2022-02-22  

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