Graph-theoretic methods for the analysis of chemical and biochemical networks. II. Oscillations in networks with delays

DOI10.1007/s00285-007-0098-2zbMath1149.34350OpenAlexW1988639283WikidataQ51913400 ScholiaQ51913400MaRDI QIDQ938073

Marc R. Roussel, Maya Mincheva

Publication date: 18 August 2008

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-007-0098-2

zbMATH Keywords

graphchemical reactionsoscillationsdelay-induced instability

Mathematics Subject Classification ID

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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• Modelling periodic oscillation in gene regulatory networks by cyclic feedback systems
• Differential-difference equations
• Graph-theoretic methods for the analysis of chemical and biochemical networks. I. Multistability and oscillations in ordinary differential equation models
• Models of genetic control by repression with time delays and spatial effects
• Introduction to functional differential equations
• Delay independent stability for additive neural networks
• Some mathematical problems in biology
• Diagonal dominance and harmless off-diagonal delays
• Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
• Qualitative Theory of Compartmental Systems