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Development of a mesh-generator using a reaction-diffusion mechanism

Research Project

Project/Area Number 26400213
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionMusashino University (2017)
Meiji University (2014-2016)

Principal Investigator

UEYAMA Daishin  武蔵野大学, 工学部, 教授 (20304389)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords反応拡散系 / 自己組織化 / メッシュ生成 / シミュレーション / パターン形成 / 偏微分方程式 / 数値解析 / 国際研究者交流
Outline of Final Research Achievements

When it comes to development of computer simulation, along with improvement of computer performance, it is expanding into various fields. Under such circumstances, space discretization is essential for the simulation and its quality directly associates with accuracy of the simulation. In this study, a new method is proposed, and that is to generate mesh from the pattern which is a result of reaction‐diffusion system simulation in complicated domain, as direct application of self-organizing mechanism which pattern formation in reaction‐diffusion system has. It verified high performance of mesh generation in 2-dimensional domain, and this can be expanded into 3-dimentional, however, in order to do so, it is clear that development of theoretical study in 3-dimentional reaction‐diffusion pattern will be required.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (15 results)

All 2018 2017 2016 2015 2014

All Journal Article (8 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 8 results,  Acknowledgement Compliant: 1 results,  Open Access: 1 results) Presentation (7 results) (of which Int'l Joint Research: 3 results,  Invited: 7 results)

  • [Journal Article] Basis of self-organized proportion regulation resulting from local contacts2018

    • Author(s)
      Iwamoto Mayuko、Ueyama Daishin
    • Journal Title

      Journal of Theoretical Biology

      Volume: 440 Pages: 112-120

    • DOI

      10.1016/j.jtbi.2017.12.028

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Marangoni Flow Driven Maze Solving2017

    • Author(s)
      K. Suzuno, D. Ueyama, M. Branicki, R. Toth, A. Braun, I. Lagzi
    • Journal Title

      Advances in Unconventional Computing

      Volume: 23 Pages: 237-243

    • DOI

      10.1007/978-3-319-33921-4_10

    • ISBN
      9783319339207, 9783319339214
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical Simulation of Maze Solving Using Chemotactic Particles2016

    • Author(s)
      Adam Leelossy, Gabor Hallo, Kohta Suzuno, Daishin Ueyama and Istvan Lagzi
    • Journal Title

      International Journal of Unconventional Computing

      Volume: 12 Pages: 439-452

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Self-assembly of like-charged nanoparticles into Voronoi diagram2016

    • Author(s)
      Zambo, D., Suzuno, K., Pothorszky, S., Bardfalvy, D., Hollo, G., Nakanishi, H., Wang, D., Ueyama, D., Deak, A. and Lagzi, I.
    • Journal Title

      Phys. Chem. Chem. Phys.

      Volume: 18 Issue: 36 Pages: 25735-25740

    • DOI

      10.1039/c6cp04297j

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Maze solving using temperature-induced Marangoni flow2015

    • Author(s)
      Petra Lovass, Michal Branicki, Rita Toth, Artur Braun, Kohta Suzuno, Daishin Ueyama, and Istvan Lagzi
    • Journal Title

      RSC Advances

      Volume: 5 Issue: 60 Pages: 48563-48568

    • DOI

      10.1039/c5ra08207b

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Advantage of Mucus for Adhesive Locomotion in Gastropods2014

    • Author(s)
      Mayuko Iwamoto, Daishin Ueyama, and Ryo Kobayashi
    • Journal Title

      Journal of Theoretical Biology

      Volume: 353(21) Pages: 133-141

    • DOI

      10.1016/j.jtbi.2014.02.024

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Maze solving using fatty acid chemistry2014

    • Author(s)
      Kohta Suzuno, Daishin Ueyama, Michael Branicki, Rita Toth, Artur Braun and Istvan Lgzi
    • Journal Title

      Langmuir

      Volume: 30 Issue: 31 Pages: 9251-9255

    • DOI

      10.1021/la5018467

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Spontaneous formation of unidirectional path2014

    • Author(s)
      Mayuko Iwamoto, Nobuhiko J. Suematsu, and Daishin Ueyama
    • Journal Title

      Chemical Physics Letters

      Volume: 616-617 Pages: 248-253

    • DOI

      10.1016/j.cplett.2014.10.010

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] 生物個体群における比率調整機構の数理的考察2017

    • Author(s)
      上山大信
    • Organizer
      MIMS現象数理学拠点共同研究集会「情報流の数理」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Attempts towards the application of the self-organization in the reaction-diffusion systems2017

    • Author(s)
      Daishin Ueyama
    • Organizer
      ICMMA2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-organized Regulation Resulting from Local Contacts2017

    • Author(s)
      Daishin Ueyama
    • Organizer
      MaCKiE2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mechanism of spontaneous spiral formation on heterogeneous discretized excitable media2016

    • Author(s)
      Daishin Ueyama
    • Organizer
      GDRI ReaDiNet Stochastic PDE's, Large Scale Interacting Systems and Applications to Biology
    • Place of Presentation
      University Paris-Sud
    • Year and Date
      2016-03-09
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 比率調整を考える2016

    • Author(s)
      上山大信
    • Organizer
      第26回 非線形反応と協同現象研究会
    • Place of Presentation
      明治大学
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Waves and Functions2014

    • Author(s)
      Daishin Ueyama
    • Organizer
      Oscillation and Dynamic Instabilities in Chemical Systems, Gordon Research Conference
    • Place of Presentation
      Melia Golf Vichy Catalan Business and Convention Center Girona, Spain
    • Year and Date
      2014-07-13 – 2014-07-18
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] A self-organized mesh generator using pattern formation in a reaction- diffusion system2014

    • Author(s)
      Daishin Ueyama
    • Organizer
      Miniworkshop on mathematical biology
    • Place of Presentation
      パリ南大学
    • Year and Date
      2014-06-06
    • Related Report
      2014 Research-status Report
    • Invited

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Published: 2014-04-04   Modified: 2019-03-29  

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