Understanding of multicellular
| Project/Area Number |
21740077
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyushu University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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| Keywords | 数理モデル / フィボナッチ数 / 楕円曲線 / 自己増殖 / 多細胞 / Dachsous : Fat / フィボナッチ数列 / 自己再帰 / 多細胞起源 / 細胞系譜 |
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| Research Abstract |
I constructed a stochastic model of a cell chain over a Lindenmayer system. Using symbolic computation, I derived explicit relations between cell-type diversity and cell-type ratio constraint. These relations were described as elliptic curveand Fibonacci number-related equations. I further modeled a cell chain with Dachsous : Fat heterodimers and analyzed it. I parameterized redistribution of the heterodimers during cell division. Using prime ideal decomposition, I derived equations in parameters to regenerate the heterodimeric pattern even if part of the cell chain is excised. I thus obtained a regeneration and type-diversity condition necessary for multicells.
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Report
(4 results)
Research Products
(20 results)
