2014 Fiscal Year Final Research Report
Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to Synthesis
Project/Area Number |
22244010
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Research Category |
Grant-in-Aid for Scientific Research (A)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
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Research Institution | Tohoku University |
Principal Investigator |
TAKAGI Izumi 東北大学, 理学(系)研究科(研究院), 教授 (40154744)
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Co-Investigator(Kenkyū-buntansha) |
IKEDA Hideo 富山大学, 大学院理工学研究部, 教授 (60115128)
OKABE Shinya 岩手大学, 人文社会科学部, 准教授 (60115128)
OGAWA Takayoshi 東北大学, 大学院理学研究科, 教授 (20224107)
NAGASAWA Takeyuki 埼玉大学, 大学院理工学研究科, 教授 (70202223)
YANAGIDA Eiji 東京工業大学, 大学院理工学研究科, 教授 (80174548)
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Co-Investigator(Renkei-kenkyūsha) |
UEYAMA Daishin 明治大学, 理工学部, 准教授 (20304389)
OKABE Shinya 東北大学, 大学院理学研究科, 准教授 (60115128)
NAKASHIMA Kimie 東京海洋大学, 海洋科学部, 准教授 (10318800)
YAMADA Sumio 学習院大学, 理学部, 教授 (90396416)
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Project Period (FY) |
2010-04-01 – 2015-03-31
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Keywords | 反応拡散系 / パターン形成 / 不均一媒体 / 非線型楕円型方程式 |
Outline of Final Research Achievements |
The purpose of this project is to build mathematical theories on reaction-diffusion systems and on the deformation of curves and surfaces, which are necessary to understand, through mathematical models, the dynamic process of morphogenesis in embryonic stages. In particular, we have succeeded in building a theory on pattern formation in strongly heterogeneous environments, and this will help us devise more biologically realistic models of pattern formation.
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Free Research Field |
数物系科学(数学,大域解析学)
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