| Project/Area Number |
25610036
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Meiji University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
INAGAKI Masashi 国立研究開発法人国立循環器病研究センター, 研究所, 室長 (80359273)
UEYAMA Daishin 明治大学, 総合数理学部, 教授 (20304389)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 数理医学 / 不整脈 / パターン形成 / 自由境界問題 / 応用数学 / スパイラル形成 / 不整脈機序 / 反応拡散系 / 心室細動 |
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| Outline of Final Research Achievements |
In two-dimensional excitable media, spirals may be formed spontaneously due to the influence of obstacles. For the mathematical understanding of the mechanism of spontaneous spiral formation, we introduce a new free boundary problem that is derived from the modified FitzHugh-Nagumo equation as a singular limit. We prove the existence of traveling spots of this system, which play important role on the spontaneous spiral formation by obstacles. We also study the influence of several obstacles. As more general setting, we consider the inhomogeneous excitable media. We pointed out that the unidirectional failure of propagation is a key of the spiral reentry.
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