The Trade-Off Mechanism in Mammalian Circadian Clock Model with Two Time Delays

DOI10.1142/S0218127417501474zbMath1373.34123MaRDI QIDQ5371184

Ling Yang, Jie Yan, Xiaxia Kang

Publication date: 25 October 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityHopf bifurcationcircadian clockoscillatory regimetrade-off mechanism

Mathematics Subject Classification ID

Neural biology (92C20) Stability theory of functional-differential equations (34K20) 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)

Cites Work

• Modelling genetic networks with noisy and varied experimental data: the circadian clock in \textit{Arabidopsis thaliana}
• Periodic oscillations in leukopoiesis models with two delays
• Mathematical Modeling and Nonlinear Dynamical Analysis of Cell Growth in Response to Antibiotics
• Sensitivity and Robustness Analysis for Stochastic Model of Nanog Gene Regulatory Network
• Hopf Bifurcation and Delay-Induced Turing Instability in a Diffusive lac Operon Model
• A model of the cell-autonomous mammalian circadian clock
• CHAOS IN A THREE-DIMENSIONAL GENERAL MODEL OF NEURAL NETWORK

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