Time-delayed models of gene regulatory networks

K. Parmar; K. B. Blyuss; Y. N. Kyrychko; S. J. Hogan

doi:10.1155/2015/347273

Time-delayed models of gene regulatory networks

K. Parmar, K. B. Blyuss^*, Y. N. Kyrychko, S. J. Hogan

^*Corresponding author for this work

Research output: Contribution to journal › Review article (Academic Journal) › peer-review

33 Citations (Scopus)

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.

Original language	English
Article number	347273
Journal	Computational and Mathematical Methods in Medicine
Volume	2015
DOIs	https://doi.org/10.1155/2015/347273
Publication status	Published - 1 Jan 2015

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SDG 3 Good Health and Well-being

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Engineering Mathematics Research Group

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title = "Time-delayed models of gene regulatory networks",

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.",

author = "K. Parmar and Blyuss, \{K. B.\} and Kyrychko, \{Y. N.\} and Hogan, \{S. J.\}",

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AU - Parmar, K.

AU - Blyuss, K. B.

AU - Kyrychko, Y. N.

AU - Hogan, S. J.

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Y1 - 2015/1/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84947104578

U2 - 10.1155/2015/347273

DO - 10.1155/2015/347273

M3 - Review article (Academic Journal)

C2 - 26576197

AN - SCOPUS:84947104578

SN - 1748-670X

VL - 2015

JO - Computational and Mathematical Methods in Medicine

JF - Computational and Mathematical Methods in Medicine

M1 - 347273

ER -

Time-delayed models of gene regulatory networks

Abstract

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