Stability and Hopf bifurcation in a model of gene expression with distributed time delays

DOI10.1016/j.amc.2014.05.122zbMath1335.37061OpenAlexW2126750481MaRDI QIDQ279926

Yongli Song, Tonghua Zhang, Yanyan Han

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.122

zbMATH Keywords

stabilityHopf bifurcationdistributed time delaygene expression

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Genetics and epigenetics (92D10)

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Cites Work

• Unnamed Item
• The stability and Hopf bifurcation analysis of a gene expression model
• Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
• Intracellular delay limits cyclic changes in gene expression
• Elements of applied bifurcation theory.
• Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways
• Hopf bifurcation in a DDE model of gene expression
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Hopf bifurcation analysis in a model of oscillatory gene expression with delay
• Modelling transcriptional feedback loops: the role of Gro/TLE1 in Hes1 oscillations

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