Mathematical analysis of a biochemical oscillator with delay

DOI10.1016/j.cam.2015.04.029zbMath1329.34131OpenAlexW2004815760MaRDI QIDQ491010

Anael Verdugo

Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.04.029

zbMATH Keywords

method of multiple scalesHopf bifurcationdelay differential equationbiochemical oscillator

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Biochemistry, molecular biology (92C40) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

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• The stability and Hopf bifurcation analysis of a gene expression model
• Center manifold analysis of a DDE model of gene expression
• Hopf bifurcation formula for first order differential-delay equations
• Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
• Hopf bifurcation in a DDE model of gene expression
• Oscillation and Chaos in Physiological Control Systems
• Hopf bifurcation analysis in a model of oscillatory gene expression with delay
• Modelling transcriptional feedback loops: the role of Gro/TLE1 in Hes1 oscillations
• Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations

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