2010 Fiscal Year Final Research Report
Mechanism of spatiotemporal patterns generated by reaction-diffusion systems
| Project/Area Number |
20740087
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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 |
Global analysis
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| Research Institution | Tohoku University |
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Principal Investigator |
SUZUKI Kanako Tohoku University, 国際高等研究教育機構, 助教 (10451519)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 非線形現象 / 反応拡散系 / パターン形成 |
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| Research Abstract |
This study is concerned with the dynamics of reaction-diffusion systems modeling pattern formation in biological phenomena. I considered the role of parameters in reaction-diffusion systems on its dynamics. Concerning an activator-inhibitor system, the mechanism of "collapse of patterns" could be understood. I also considered one-dimensional chemotaxis equations to study the asymptotic behavior of solutions, and three component reaction-diffusion equations to show the existence and stability of spatial patterns.
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