Time-Delayed Models of Gene Regulatory Networks

被引：27
|
作者：
Parmar, K. [1 ]
Blyuss, K. B. [1 ]
Kyrychko, Y. N. [1 ]
Hogan, S. J. [2 ]
机构：
[1] Univ Sussex, Dept Math, Brighton BN1 9QH, E Sussex, England
[2] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England
来源：
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE | 2015年 / 2015卷
关键词：
GENOME-WIDE ASSOCIATION; MICROARRAY DATA; DIFFERENTIAL-EQUATIONS; BAYESIAN NETWORKS; BOOLEAN NETWORKS; HOPF-BIFURCATION; TEMPORAL CONTROL; PROSTATE-CANCER; HILL EQUATION; EXPRESSION;
D O I：
10.1155/2015/347273
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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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页数：16
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