Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation

Discrete stochastic simulations are a powerful tool for understanding the dynamics of chemical kinetics when there are small-to-moderate numbers of certain molecular species. In this paper we introduce delays into the stochastic simulation algorithm, thus mimicking delays associated with transcripti...

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Bibliographic Details
Published in:PLoS computational biology Vol. 2; no. 9; p. e117
Main Authors: Barrio, Manuel, Burrage, Kevin, Leier, André, Tian, Tianhai
Format: Journal Article
Language:English
Published: United States Public Library of Science 01.09.2006
Public Library of Science (PLoS)
Subjects:
Algorithms
Bioinformatics - Computational Biology
Chemical kinetics
Colleges & universities
Computational Biology
Computer Simulation
Experiments
Gene Expression Regulation
Genetic algorithms
Genetic regulation
Homeodomain Proteins - genetics
Homeodomain Proteins - metabolism
Introduced species
Mathematical models
Messenger RNA
Models, Biological
Molecular Sequence Data
Mus (Mouse)
Noise
Ordinary differential equations
Proteins
RNA, Messenger - genetics
Sensitivity analysis
Sensitivity and Specificity
Simulation
Stochastic analysis
Stochastic Processes
Systems Biology
Stochastic Processes
Homeodomain Proteins
Models, Biological
Sensitivity & Specificity
Computer Simulation
Computational Biology
Gene Expression Regulation
Molecular Sequence Data
RNA, Messenger
ISSN:1553-7358, 1553-734X, 1553-7358
Online Access:Get full text
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Description
Summary:Discrete stochastic simulations are a powerful tool for understanding the dynamics of chemical kinetics when there are small-to-moderate numbers of certain molecular species. In this paper we introduce delays into the stochastic simulation algorithm, thus mimicking delays associated with transcription and translation. We then show that this process may well explain more faithfully than continuous deterministic models the observed sustained oscillations in expression levels of hes1 mRNA and Hes1 protein.
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ISSN:1553-7358
1553-734X
1553-7358
DOI:10.1371/journal.pcbi.0020117