Stochastic gene expression revisited
Authors:
- Andrzej Tomski,
- Maciej Zakarczemny
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.
- Record ID
- CUTd2b14ef1945d479681885032dd151dcb
- Publication categories
- ;
- Author
- Journal series
- Genes, ISSN , e-ISSN 2073-4425, Monthly
- Issue year
- 2021
- Vol
- 12
- No
- 5
- Pages
- [1-19]
- Article number
- 648
- Other elements of collation
- schem.; wykr.; Bibliografia (na s.) - 18-19; Bibliografia (liczba pozycji) - 23; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 12, Iss. 5
- Substantive notes
- Section: Technologies and Resources for Genetics
- Keywords in English
- stochastic gene expression, pre-mRNA, iterated function system, limit measure, gene expression process simulation
- DOI
- DOI:10.3390/genes12050648 Opening in a new tab
- URL
- https://www.mdpi.com/2073-4425/12/5/648/htm Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 100
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTd2b14ef1945d479681885032dd151dcb/
- URN
urn:pkr-prod:CUTd2b14ef1945d479681885032dd151dcb
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.