From structure to dynamics: frequency tuning in the p53-Mdm2 network. II: Differential and stochastic approaches

DOI10.1016/j.jtbi.2010.03.031zbMath1406.92250OpenAlexW177374653WikidataQ43116909 ScholiaQ43116909MaRDI QIDQ1719915

Wassim Abou-Jaoudé, Marcelle Kaufman, Djomangan Adama Ouattara

Publication date: 12 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.03.031

zbMATH Keywords

stochastic simulationsmathematical modellingbifurcation analysisfeedback circuitsp53/Mdm2 oscillations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42)

Related Items (12)

Relations between the conditions of admitting cycles in Boolean and ODE network systems ⋮ Modeling transport regulation in gene regulatory networks ⋮ Dissipative structures in biological systems: bistability, oscillations, spatial patterns and waves ⋮ Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways ⋮ Formalizing and enriching phenotype signatures using Boolean networks ⋮ On the role of intrinsic noise on the response of the p53-Mdm2 module ⋮ Mathematical analysis of a generalised p53-Mdm2 protein gene expression model ⋮ Piecewise linear and Boolean models of chemical reaction networks ⋮ Intrinsic noise and Hill dynamics in the p53 system ⋮ A spatial physiological model for p53 intracellular dynamics ⋮ Codimension-3 Bifurcation in the p53 Regulatory Network Model ⋮ Oscillations in well-mixed, deterministic feedback systems: beyond ring oscillators

Cites Work

• From structure to dynamics: frequency tuning in the p53-Mdm2 network. I: Logical approach
• Monte Carlo simulation of a simple gene network yields new evolutionary insights
• Oscillations and bistability in the stochastic model of p53 regulation
• Mathematical model of NF-\( \kappa\)B regulatory module
• Analysis of a minimal model for p53 oscillations

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