http://hdl.handle.net/20.500.12128/20195
Title: | Stochastic gene expression revisited |
Authors: | Tomski, Andrzej Zakarczemny, Maciej |
Keywords: | stochastic gene expression; pre-mRNA; iterated function system; limit measure; gene expression process simulation |
Issue Date: | 2021 |
Citation: | Genes, Vol. 12, iss. 5 (2021) art. no. 648 |
Abstract: | We investigate the model of gene expression in the form of Iterated Function System (IFS), where the probability of choice of any iterated map depends on the state of the phase space. Random jump times of the process mark activation periods of the gene when pre-mRNA molecules are produced before mRNA and protein processing phases occur. The main idea is inspired by the continuous-time piecewise deterministic Markov process describing stochastic gene expression. We show that for our system there exists a unique invariant limit measure. We provide full probabilistic description of the process with a comparison of our results to those obtained for the model with continuous time. |
URI: | http://hdl.handle.net/20.500.12128/20195 |
DOI: | 10.3390/genes12050648 |
ISSN: | 2073-4425 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Tomski_Stochastic_gene.pdf | 3,85 MB | Adobe PDF | View/Open |
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