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Stochastic Gene Expression Revisited
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 mRN...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8145461/ https://www.ncbi.nlm.nih.gov/pubmed/33926131 http://dx.doi.org/10.3390/genes12050648 |
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author | Tomski, Andrzej Zakarczemny, Maciej |
author_facet | Tomski, Andrzej Zakarczemny, Maciej |
author_sort | Tomski, Andrzej |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-8145461 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-81454612021-05-26 Stochastic Gene Expression Revisited Tomski, Andrzej Zakarczemny, Maciej Genes (Basel) Article 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. MDPI 2021-04-26 /pmc/articles/PMC8145461/ /pubmed/33926131 http://dx.doi.org/10.3390/genes12050648 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Tomski, Andrzej Zakarczemny, Maciej Stochastic Gene Expression Revisited |
title | Stochastic Gene Expression Revisited |
title_full | Stochastic Gene Expression Revisited |
title_fullStr | Stochastic Gene Expression Revisited |
title_full_unstemmed | Stochastic Gene Expression Revisited |
title_short | Stochastic Gene Expression Revisited |
title_sort | stochastic gene expression revisited |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8145461/ https://www.ncbi.nlm.nih.gov/pubmed/33926131 http://dx.doi.org/10.3390/genes12050648 |
work_keys_str_mv | AT tomskiandrzej stochasticgeneexpressionrevisited AT zakarczemnymaciej stochasticgeneexpressionrevisited |