2012 Fiscal Year Final Research Report
Study on stochastic models of population genetics by means of the theories of stochastic processes
| Project/Area Number |
21540143
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyushu Dental College |
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Principal Investigator |
IIZUKA Masaru 九州歯科大学, 歯学部, 准教授 (20202830)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 集団遺伝学 / 分子進化 / 突然変異 / 自然淘汰 / 確率モデル / 確率過程 / マルコフ過程 / 拡散過程 |
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| Research Abstract |
Stochastic models of population genetics were studied by means of the theories of stochastic processes. First, several models with the fluctuation of population size were investigated and the relation between these models was disclosed. Next, some properties of the multi-dimensional stochastic models with compensatory fitness interaction were studied. Further, two results were obtained for a stochastic model described by a birth and death process. The first result was properties of the conditional process conditional on hitting the specified boundary point prior to the other boundary point. The second was some limit theorems of this stochastic model under weak mutation.
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