Title | Steady-state joint distribution for first-order stochastic reaction kinetics |
Authors | Li, Youming Jiang, Da-Quan Jia, Chen |
Affiliation | Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China Beijing Computat Sci Res Ctr, Appl & Computat Math Div, Beijing 100193, Peoples R China Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R China |
Keywords | CLEAVAGE POLYPROTEIN MECHANISM PROTEIN |
Issue Date | 10-Aug-2021 |
Publisher | PHYSICAL REVIEW E |
Abstract | While the analytical solution for the marginal distribution of a stochastic chemical reaction network has been extensively studied, its joint distribution, i.e., the solution of a high-dimensional chemical master equation, has received much less attention. Here we develop an alternative method of computing the exact joint distributions of a wide class of first-order stochastic reaction systems in steady-state conditions. The effectiveness of our method is validated by applying it to four gene expression models of biological significance, including models with 2A peptides, nascent mRNA, gene regulation, translational bursting, and alternative splicing. |
URI | http://hdl.handle.net/20.500.11897/623391 |
ISSN | 2470-0045 |
DOI | 10.1103/PhysRevE.104.024408 |
Indexed | EI SCI(E) |
Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 |