Stationary distribution and limit distribution of reflecting stochastic process and its biological applications
| Project/Area Number |
21540131
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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 | Hiroshima University |
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Principal Investigator |
SAISHO Yasumasa 広島大学, 大学院・工学研究院, 准教授 (70195973)
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| Co-Investigator(Kenkyū-buntansha) |
KANAGAWA Shuya 東京都市大学, 知識工学部, 教授 (50185899)
HATAUE Itaru 金沢大学, 理工学域電子情報学系, 教授 (50218476)
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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 |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 確率論 / 反射壁確率過程 / 極限分布 / 数理モデル / 数理生物学 / 定常分布 / セミの生態 / DNAの損傷 / 2本鎖切断 |
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| Research Abstract |
Concrete examples of non-trivial 1-dimensional reflecting process having limit distribution and stationary distribution were showed. For biological applications, we constructed a stochastic model and consider whether this sexual difference of eclosion periods works against mating or not. We also calculated the dose dependence of dsb generation under low LET using stochastic models based on the Poisson distribution and the binomial distribution.
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Report
(4 results)
Research Products
(32 results)
