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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Detalles Bibliográficos
Autores principales: Barrio, Manuel, Burrage, Kevin, Leier, André, Tian, Tianhai
Formato: Texto
Lenguaje:English
Publicado: Public Library of Science 2006
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1560403/
https://www.ncbi.nlm.nih.gov/pubmed/16965175
http://dx.doi.org/10.1371/journal.pcbi.0020117
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author Barrio, Manuel
Burrage, Kevin
Leier, André
Tian, Tianhai
author_facet Barrio, Manuel
Burrage, Kevin
Leier, André
Tian, Tianhai
author_sort Barrio, Manuel
collection PubMed
description 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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spelling pubmed-15604032006-10-02 Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation Barrio, Manuel Burrage, Kevin Leier, André Tian, Tianhai PLoS Comput Biol Research Article 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. Public Library of Science 2006-09 2006-09-08 /pmc/articles/PMC1560403/ /pubmed/16965175 http://dx.doi.org/10.1371/journal.pcbi.0020117 Text en © 2006 Barrio et al. http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Barrio, Manuel
Burrage, Kevin
Leier, André
Tian, Tianhai
Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation
title Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation
title_full Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation
title_fullStr Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation
title_full_unstemmed Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation
title_short Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation
title_sort oscillatory regulation of hes1: discrete stochastic delay modelling and simulation
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1560403/
https://www.ncbi.nlm.nih.gov/pubmed/16965175
http://dx.doi.org/10.1371/journal.pcbi.0020117
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AT leierandre oscillatoryregulationofhes1discretestochasticdelaymodellingandsimulation
AT tiantianhai oscillatoryregulationofhes1discretestochasticdelaymodellingandsimulation

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