Conditions for equivalence of stochastic and deterministic gene transcription models

Jaroslaw Smieja

doi:10.2316/P.2011.723-065

Conditions for equivalence of stochastic and deterministic gene transcription models

Jaroslaw Smieja

Department of Systems Biology and Engineering (RAU/RAU1)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

The paper deals with two different approaches of modeling gene transcription in eukaryotic cells: stochastic and deterministic. The analysis is based on the assumption that dynamics of the transcription factor concentration is known from experimental work, first increasing and then decreasing, without oscillations. The expected value of transcription rate in a stochastic case is compared to deterministic transcription rate. Additionally, the dynamics of mRNA resulting from both models is analyzed. It appears that, despite claims in broad literature devoted to the topic, the deterministic description is a good approximation of an actual stochastic process.

Original language	English
Title of host publication	Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011
Pages	169-174
Number of pages	6
DOIs	https://doi.org/10.2316/P.2011.723-065
Publication status	Published - 2011
Event	IASTED International Conference on Biomedical Engineering, Biomed 2011 - Innsbruck, Austria Duration: 16 Feb 2011 → 18 Feb 2011

Publication series

Name	Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011

Conference

Conference	IASTED International Conference on Biomedical Engineering, Biomed 2011
Country/Territory	Austria
City	Innsbruck
Period	16/02/11 → 18/02/11

Keywords

Systems biology
Transcription modeling

ASJC Scopus subject areas

Biomedical Engineering

Access to Document

10.2316/P.2011.723-065

Cite this

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title = "Conditions for equivalence of stochastic and deterministic gene transcription models",

abstract = "The paper deals with two different approaches of modeling gene transcription in eukaryotic cells: stochastic and deterministic. The analysis is based on the assumption that dynamics of the transcription factor concentration is known from experimental work, first increasing and then decreasing, without oscillations. The expected value of transcription rate in a stochastic case is compared to deterministic transcription rate. Additionally, the dynamics of mRNA resulting from both models is analyzed. It appears that, despite claims in broad literature devoted to the topic, the deterministic description is a good approximation of an actual stochastic process.",

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author = "Jaroslaw Smieja",

year = "2011",

doi = "10.2316/P.2011.723-065",

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series = "Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011",

pages = "169--174",

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note = "IASTED International Conference on Biomedical Engineering, Biomed 2011 ; Conference date: 16-02-2011 Through 18-02-2011",

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Smieja, J 2011, Conditions for equivalence of stochastic and deterministic gene transcription models. in Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011. Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011, pp. 169-174, IASTED International Conference on Biomedical Engineering, Biomed 2011, Innsbruck, Austria, 16/02/11. https://doi.org/10.2316/P.2011.723-065

Conditions for equivalence of stochastic and deterministic gene transcription models. / Smieja, Jaroslaw.
Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011. 2011. p. 169-174 (Proceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - The paper deals with two different approaches of modeling gene transcription in eukaryotic cells: stochastic and deterministic. The analysis is based on the assumption that dynamics of the transcription factor concentration is known from experimental work, first increasing and then decreasing, without oscillations. The expected value of transcription rate in a stochastic case is compared to deterministic transcription rate. Additionally, the dynamics of mRNA resulting from both models is analyzed. It appears that, despite claims in broad literature devoted to the topic, the deterministic description is a good approximation of an actual stochastic process.

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KW - Systems biology

KW - Transcription modeling

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Conditions for equivalence of stochastic and deterministic gene transcription models

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