A stochastic model of gene transcription: An application to L1 retrotransposition events
A stochastic model of gene transcription: An application to L1 retrotransposition events
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DOI：
10.1016/j.jtbi.2006.02.010
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发表时间：
2006-09-07
影响因子：
2
通讯作者：
Kalbfleisch, Ted
中科院分区：
文献类型：
--
作者：
Rempala, Grzegorz A.;Ramos, Kenneth S.;Kalbfleisch, Ted
基于一个耦合化学反应系统和一组与酶动力学理论相似的随机方程，提出了一个简化的基因转录数学模型。准平稳分布的模型推导和说明其有用性的一个例子，模型参数估计使用稀疏的时间过程数据L1反转录转座子表达动力学。模型验证的问题也进行了讨论，并设计了一个简单的验证程序的估计模型。该程序通过现代马尔可夫链蒙特-卡罗方法的帮助下，通过标准贝叶斯技术比较模型预测值与实验室数据。(c)2006爱思唯尔有限公司保留所有权利。
A simplified mathematical model of gene transcription is presented based on a system of coupled chemical reactions and a corresponding set of stochastic equations similar to those used in enzyme kinetics theory. The quasi-stationary distribution for the model is derived and its usefulness illustrated with an example of model parameters estimation using sparse time course data on L1 retrotransposon expression kinetics. The issue of model validation is also discussed and a simple validation procedure for the estimated model is devised. The procedure compares model predicted values with the laboratory data via the standard Bayesian techniques with the help of modern Markov-Chain Monte-Carlo methodology. (c) 2006 Elsevier Ltd. All rights reserved.