Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations

DOI10.1142/S021820251550030XzbMath1326.92019arXiv1404.0661MaRDI QIDQ5247107

Marc Sturrock, Mariya Ptashnyk, Mark A. J. Chaplain

Publication date: 22 April 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0661

zbMATH Keywords

Hopf bifurcationoscillationsnegative feedback loopweakly nonlinear analysisgene regulatory networktranscription factorcenter manifold and normal form

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Biochemistry, molecular biology (92C40) Bifurcation theory of functional-differential equations (34K18) Systems biology, networks (92C42)

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