Mathematical Study of Pattern Formation and Information in Biological Systems
| Project/Area Number |
19340023
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Hiroshima University |
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Principal Investigator |
KOBAYASHI Ryo Hiroshima University, 大学院・理学研究科, 教授 (60153657)
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| Co-Investigator(Kenkyū-buntansha) |
NAKAGAKI Toshiyuki はこだて未来大学, システム情報工学部, 教授 (70300887)
MIURA Takashi 京都大学, 大学院・医学研究科, 准教授 (10324617)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥18,330,000 (Direct Cost: ¥14,100,000、Indirect Cost: ¥4,230,000)
Fiscal Year 2010: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2009: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2008: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2007: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
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| Keywords | 真正粘菌変形体 / スタイナー問題 / ネットワーク / フェーズフィールド / 卵割 / アメーバ運動 / 数理モデル / 真正粘菌小形体 / 数理マデル / モルフォゲン / 血管網形成 / 細胞運動 / 自律分散制御 / 最短経路探索問題 / Physarum Solver / NP完全 / 中心体 / フェーズフィールドモデル |
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| Research Abstract |
We demonstrated experimentally that the plasmodium of Physarum polycephalum can promote formation of networks equivalent to the transportation network such as railroad system. We presented a new method of network design by constructing mathematical models. Also, we proposed models which describe how information works in the determining process of the geometry of early cleavage and in the formation of branching structure such as lung and blood vessel. We developed mathematical methods that can describe the mechanism combining biological pattern formation and information.
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Report
(6 results)
Research Products
(129 results)
