Mathematical analysis of reaction-diffusion system with divergence in vertebrate morphogenesis
| Project/Area Number |
20740058
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Osaka University |
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Principal Investigator |
NAKAGUCHI Etsushi Osaka University, 教養部, 准教授 (70304011)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Keywords | 応用数学 / 数理生物学 / 反応拡散系 / 個体ゆらぎ / モデル化 / 非線形力学系 / 発現制御 / ロバスト性 / 登現制御 |
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| Research Abstract |
We discussed the modeling and the analysis scheme for individual divergence in the reaction-diffusion system that described the left-right determination process in vertebrate morphogenesis. Moreover, concerning to the theory of morphogenesis dynamics, we studied the existence of global solutions and the structure of attractors of the reaction-diffusion system.
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Report
(4 results)
Research Products
(22 results)
