Mechanism of spatiotemporal patterns generated by reaction-diffusion systems
Project/Area Number |
20740087
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Global analysis
|
Research Institution | Tohoku University |
Principal Investigator |
SUZUKI Kanako Tohoku University, 国際高等研究教育機構, 助教 (10451519)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | 非線形現象 / 反応拡散系 / パターン形成 |
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.
|
Report
(4 results)
Research Products
(47 results)