| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
In this study, I analyzed a free boundary problem related to cell motility and showed that there exists at least two traveling wave solutions for the problem, where traveling wave solution means that the solution moves to a direction with a constant speed and shape. This result implies that a cell moves to a direction with a constant shape and speed. This motion is observed in keratocyte. I also showed that there exist just two stationary solutions which are radially symmetric. This means that a shape of cell is approaches a disk-shaped domain as time passes. To describe the behavior of solutions to the free boundary problem by computer, I tried to approximate the free boundary problem with the help of reaction-diffusion system. However it was difficult. Thus, I attempted to extend theory of fast reaction limit and obtained some results related to fast reaction limit.
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