2017 Fiscal Year Final Research Report
Mathematical foundations and applications in dissipative models arising in life science
| Project/Area Number |
26287025
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Ryukoku University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
坂元 国望 広島大学, 理学研究科, 教授 (40243547)
村川 秀樹 九州大学, 数理学研究院, 助教 (40432116)
四ツ谷 晶二 龍谷大学, 理工学部, 教授 (60128361)
神保 秀一 北海道大学, 理学研究院, 教授 (80201565)
岩見 真吾 九州大学, 理学研究院, 准教授 (90518119)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 反応拡散系 / パターン形成 / 安定性 / 分岐解析 / 固有値比較の原理 / 細胞極性モデル / 細胞接着モデル / ウイルス感染モデル |
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| Outline of Final Research Achievements |
(1) We established a mathematical method analyzing spatial patterns in some models of cell polarity. Moreover, we gave a condition allowing the instability of uniform states in a model of conserved diffusion systems coupled on the boundary. (2) We proposed a numerically efficient scheme for simulations of cell-cell adhesion model. (3) We improved an infectious model of virus by taking a delay effect into account and verified that the model matches experimental data.
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| Free Research Field |
応用数学
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