Random variation and concentration effects in PCR
Random variation and concentration effects in PCR
复制标题
DOI：
10.1016/s0022-5193(03)00166-8
复制
发表时间：
2003-10-07
影响因子：
2
通讯作者：
Klebaner, F
中科院分区：
文献类型：
--
作者：
Jagers, P;Klebaner, F
即使聚合酶链式反应（PCR）反应的效率降低，也可以根据Galton-Watson过程或具有恒定复制概率（效率）的简单确定性模型进行分析。最近，Schnell和门多萨提出，效率的形式可以从酶动力学推导出来。这导致分子数的序列形成具有分支过程的性质的随机过程，该分支过程具有群体大小依赖性，其是超临界的，但具有接近1的平均再生数。这种过程在所有初始指数期之后显示最终的线性生长，如PCR中的情况。它也表明，所产生的随机过程的一个大的Michaelis-Menten常数的行为类似于确定性序列x（n）所产生的迭代函数f（x）= x + x/（1 + x）。(C)2003 Elsevier Ltd.保留所有权利。
Even though the efficiency of the Polymerase chain reaction (PCR) reaction decreases, analyses are made in terms of Galton-Watson processes, or simple deterministic models with constant replication probability (efficiency). Recently, Schnell and Mendoza have suggested that the form of the efficiency, can be derived from enzyme kinetics. This results in the sequence of molecules numbers forming a stochastic process with the properties of a branching process with population size dependence, which is supercritical, but has a mean reproduction number that approaches one. Such processes display ultimate linear growth, after all initial exponential phase, as is the case in PCR. It is also shown that the resulting stochastic process for a large Michaelis-Menten constant behaves like the deterministic sequence x(n) arising by iterations of the function f(x) = x + x/(1 + x). (C) 2003 Elsevier Ltd. All rights reserved.