Study on stochastic models of population genetics by means of the theories of stochastic processes

利用随机过程理论研究群体遗传学的随机模型

• 批准号: 21540143
• 负责人: IIZUKA Masaru
• 金额: $ 1.83万
• 依托单位: Kyushu Dental College
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540143/
• 关键词: 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; モランモデル; 自然淘汰の互助的相互作用; 出生死滅過程; 拡散モデル; モラン・モデル; 一次元広義拡散過程; 広義拡散過程

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.

应用随机过程理论研究了群体遗传学的随机模型。首先，研究了几种种群规模具有波动性的模型，揭示了这些模型之间的关系。其次，研究了具有补偿适应度交互作用的多维随机模型的一些性质。进一步，得到了生灭过程描述的随机模型的两个结果。第一个结果是条件过程的属性，条件是在到达另一个边界点之前到达指定的边界点。第二个是弱突变下该随机模型的极限定理。

项目成果

タンパク質共進化機構の集団遺伝学的考察

蛋白质协同进化机制的群体遗传学思考

• 发表时间: 2009
• 作者: 栄伸一郎;池田榮雄;川名健之;飯塚勝
• 通讯作者: 飯塚勝

Effective population size of a population with stochastically varying size

随机变化人口的有效人口规模

• 发表时间: 2010
• 期刊: Journal of Mathematical Biology
• 影响因子: 1.9
• 作者: 秋山献之;末竹千博;田中正紀;Yoshitaka Watanabe;M. Iizuka
• 通讯作者: M. Iizuka

Transition probability densities of birth and death processes with finite state space

有限状态空间下生死过程的转移概率密度

• 发表时间: 2010
• 期刊: Annual Reports of Graduate School of Humanities and Sciences Vol.25
• 作者: Masaru Iizuka;Matsuyo Tomisaki
• 通讯作者: Matsuyo Tomisaki

Effects of dominance in selection and gene duplication on compensatory molecular evolution

选择和基因复制的优势对补偿性分子进化的影响

• 发表时间: 2010
• 作者: Iizuka;M
• 通讯作者: M

The effective size of fluctuating populations

波动人口的有效规模

• 发表时间: 2010
• 作者: N.Esmailzadeh;H.Talebi;K.Momihara;M.Jimbo;M. Iizuka
• 通讯作者: M. Iizuka