2011 Fiscal Year Final Research Report
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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| Keywords | 数理モデル / フィボナッチ数 / 楕円曲線 |
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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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