Stochastic gene expression with delay

JOURNAL OF THEORETICAL BIOLOGY

卷:364

Article

Jansen, Martin¹  Pfaffelhuber, Peter² 

[1] Univ Med Ctr Freiburg, Inst Clin Chem & Lab Med, D-79106 Freiburg, Germany

[2] Univ Freiburg, Abt Mathe Stochast, D-79104 Freiburg, Germany

关键词: Chemical reaction network;    Poisson process;   

DOI  :  10.1016/j.jtbi.2014.09.031

来源: Elsevier

【 摘 要 】

The expression of genes usually follows a two-step procedure. First, a gene (encoded in the genome) is transcribed resulting in a strand of (messenger) RNA. Afterwards, the RNA is translated into protein. We extend the classical stochastic jump model by adding delays (with arbitrary distributions) to transcription and translation. Already in the classical model, production of RNA and protein comes in bursts by activation and deactivation of the gene, resulting in a large variance of the number of RNA and proteins in equilibrium. We derive precise formulas for this second-order structure with the model including delay in equilibrium. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

Free