摘要
设一初始细胞中共有ｍ个质体，其中ｉ个是突变的，我们研究了它们随细胞分裂而分裂并在细胞间进行随机分配的过程中，一细胞分配ｍ个突变质体的概率。令ｘ（ｔ）＝１表示在第ｔ次分裂时，一细胞只含突变质体这一随机事件，ｘ（ｔ）＝０为其对立事件。我们得到了随机过程｛ｘ（ｔ），ｔ∈Ｔ｝的一些性质、证明了该过程为一马尔可夫链，给出了细胞质内质体杂化（含突变与非突变两类质体）与质体纯化（仅含一类质体）两种状态之间的转移概率矩阵，揭示了突变质体随细胞分裂而传递的若干规律。
Suppose there are m plastids in an initial cell,in which i plastids are mutated.In the this paper we discuss the probabilitiy that m mutated plastids are distributd in a cell simulataneously during in the process of mutant plastids dividing and randomly distributing with cell division,Let x(t)=1 denote the stochastic event that a cell contains only mutant plastids in t-th division and x(t)=0 denote the opposite event.We may find some properties of the stochastic process{x(t),t∈T}demonstrating that the process is a Markov chain. Finally we can obtain the matrixes of transition probability between homogenous hiterogeneous plastids,this reveals some laws of mutant plastids transmiting with cell division.
基金
国家自然科学基金
四川省教委资助
关键词
细胞
突变质体
细胞分裂
遗传
Cell,Mutation plastids,Plastids purification,Stochastic process,Markov chains
