Stability of delay induced oscillations in gene expression of Hes1 protein model

DOI10.1016/j.nonrwa.2012.01.017zbMath1327.92030OpenAlexW2003449131WikidataQ112197599 ScholiaQ112197599MaRDI QIDQ1926195

Agnieszka Bartłomiejczyk, Marek Bodnar

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.01.017

zbMATH Keywords

asymptotic analysisdelay differential equationsbiochemical reactionHes1 proteinthe Hill coefficientthe Hopf bifurcation

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Genetics and epigenetics (92D10) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (12)

Local Hopf bifurcation analysis and global existence of periodic solutions in a gene expression model with delays ⋮ Dynamic analysis of the time-delayed genetic regulatory network between two auto-regulated and mutually inhibitory genes ⋮ Hopf bifurcation in time‐delayed gene expression model with dimers ⋮ Stability analysis of the family of tumour angiogenesis models with distributed time delays ⋮ Stability Analysis and Bifurcation Control of a Delayed Incommensurate Fractional-Order Gene Regulatory Network ⋮ Justification of quasi-stationary approximation in models of gene expression of a self-regulating protein ⋮ Dynamics of simplified HPT model in relation to 24h TSH profiles ⋮ Stability and Hopf bifurcation analysis in a delayed Myc/E2F/miR-17-92 network involving interlinked positive and negative feedback loops ⋮ Hybrid control on bifurcation for a delayed fractional gene regulatory network ⋮ Pacemaker dynamics in the full Morris-Lecar model ⋮ Stability and Hopf bifurcation analysis in a delayed three-node circuit involving interlinked positive and negative feedback loops ⋮ General model of a cascade of reactions with time delays: global stability analysis

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• Modelling transcriptional feedback loops: the role of Gro/TLE1 in Hes1 oscillations
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