Time-Delayed Models of Gene Regulatory Networks-Reference-Cited by-同舟云学术

Time-Delayed Models of Gene Regulatory Networks

Published:2015 Issue: Volume:2015 Page:1-16
ISSN:1748-670X
Container-title:Computational and Mathematical Methods in Medicine
language:en
Short-container-title:Computational and Mathematical Methods in Medicine

Author:

Parmar K.¹,Blyuss K. B.¹,Kyrychko Y. N.¹,Hogan S. J.²

Affiliation:

1. Department of Mathematics, University of Sussex, Falmer, Brighton BN1 9QH, UK

2. Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, UK

Abstract

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modelling and Simulation,General Medicine

Link

http://downloads.hindawi.com/journals/cmmm/2015/347273.pdf

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