Time-Delayed Models of Gene Regulatory Networks

We discuss different mathematical models of gene regulatory networks as relevant to the onset and development of cancer. After discussion of alternative modelling approaches, we use a paradigmatic two-gene network to focus on the role played by time delays in the dynamics of gene regulatory networks...

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Detalles Bibliográficos
Autores principales: Parmar, K., Blyuss, K. B., Kyrychko, Y. N., Hogan, S. J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Review Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4632181/
https://www.ncbi.nlm.nih.gov/pubmed/26576197
http://dx.doi.org/10.1155/2015/347273
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author Parmar, K.
Blyuss, K. B.
Kyrychko, Y. N.
Hogan, S. J.
author_facet Parmar, K.
Blyuss, K. B.
Kyrychko, Y. N.
Hogan, S. J.
author_sort Parmar, K.
collection PubMed
description We discuss different mathematical models of gene regulatory networks as relevant to the onset and development of cancer. After discussion of alternative modelling approaches, we use a paradigmatic two-gene network to focus on the role played by time delays in the dynamics of gene regulatory networks. We contrast the dynamics of the reduced model arising in the limit of fast mRNA dynamics with that of the full model. The review concludes with the discussion of some open problems.
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spelling pubmed-46321812015-11-16 Time-Delayed Models of Gene Regulatory Networks Parmar, K. Blyuss, K. B. Kyrychko, Y. N. Hogan, S. J. Comput Math Methods Med Review Article We discuss different mathematical models of gene regulatory networks as relevant to the onset and development of cancer. After discussion of alternative modelling approaches, we use a paradigmatic two-gene network to focus on the role played by time delays in the dynamics of gene regulatory networks. We contrast the dynamics of the reduced model arising in the limit of fast mRNA dynamics with that of the full model. The review concludes with the discussion of some open problems. Hindawi Publishing Corporation 2015 2015-10-20 /pmc/articles/PMC4632181/ /pubmed/26576197 http://dx.doi.org/10.1155/2015/347273 Text en Copyright © 2015 K. Parmar et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Review Article
Parmar, K.
Blyuss, K. B.
Kyrychko, Y. N.
Hogan, S. J.
Time-Delayed Models of Gene Regulatory Networks
title Time-Delayed Models of Gene Regulatory Networks
title_full Time-Delayed Models of Gene Regulatory Networks
title_fullStr Time-Delayed Models of Gene Regulatory Networks
title_full_unstemmed Time-Delayed Models of Gene Regulatory Networks
title_short Time-Delayed Models of Gene Regulatory Networks
title_sort time-delayed models of gene regulatory networks
topic Review Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4632181/
https://www.ncbi.nlm.nih.gov/pubmed/26576197
http://dx.doi.org/10.1155/2015/347273
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