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

• Project/Area Number: 26400213
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Musashino 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: ¥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.

Research Products

• [Journal Article] Basis of self-organized proportion regulation resulting from local contacts (2018)
  • 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
  • Peer Reviewed
• [Journal Article] Marangoni Flow Driven Maze Solving (2017)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Numerical Simulation of Maze Solving Using Chemotactic Particles (2016)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Self-assembly of like-charged nanoparticles into Voronoi diagram (2016)
  • 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
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Maze solving using temperature-induced Marangoni flow (2015)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] The Advantage of Mucus for Adhesive Locomotion in Gastropods (2014)
  • 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
  • Peer Reviewed
• [Journal Article] Maze solving using fatty acid chemistry (2014)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Spontaneous formation of unidirectional path (2014)
  • 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
  • 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」
  • Invited
• [Presentation] Attempts towards the application of the self-organization in the reaction-diffusion systems (2017)
  • Author(s): Daishin Ueyama
  • Organizer: ICMMA2017
  • Int'l Joint Research / Invited
• [Presentation] Self-organized Regulation Resulting from Local Contacts (2017)
  • Author(s): Daishin Ueyama
  • Organizer: MaCKiE2017
  • Int'l Joint Research / Invited
• [Presentation] Mechanism of spontaneous spiral formation on heterogeneous discretized excitable media (2016)
  • 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
  • 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
  • Invited
• [Presentation] Waves and Functions (2014)
  • 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
  • Invited
• [Presentation] A self-organized mesh generator using pattern formation in a reaction- diffusion system (2014)
  • Author(s): Daishin Ueyama
  • Organizer: Miniworkshop on mathematical biology
  • Place of Presentation: パリ南大学
  • Year and Date: 2014-06-06
  • Invited