Mathematical analysis of a generalised p53-Mdm2 protein gene expression model

DOI10.1016/j.amc.2018.01.014zbMath1427.34092OpenAlexW2791374102WikidataQ112197516 ScholiaQ112197516MaRDI QIDQ2001605

Monika Joanna Piotrowska, Marek Bodnar, Agnieszka Bartłomiejczyk

Publication date: 10 July 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.01.014

zbMATH Keywords

stability analysisHopf bifurcationdelay differential equationsp53 protein

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Stability theory of functional-differential equations (34K20) Oscillation theory of functional-differential equations (34K11) Periodic solutions to functional-differential equations (34K13) Genetics and epigenetics (92D10) Bifurcation theory of functional-differential equations (34K18) General biology and biomathematics (92B05)

Related Items (3)

Hopf bifurcation in time‐delayed gene expression model with dimers ⋮ Justification of quasi-stationary approximation in models of gene expression of a self-regulating protein ⋮ A study of nitric oxide dynamics in a growing biofilm using a density dependent reaction-diffusion model

Cites Work

• Unnamed Item
• Application of bifurcation theory and siRNA-based control signal to restore the proper response of cancer cells to DNA damage
• A dynamic P53-MDM2 model with time delay
• Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways
• From structure to dynamics: frequency tuning in the p53-Mdm2 network. II: Differential and stochastic approaches
• Oscillations and bistability in the stochastic model of p53 regulation
• Delay equations. Functional-, complex-, and nonlinear analysis
• Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System
• Regulation of p53 by siRNA in radiation treated cells: Simulation studies
• Elements of applied bifurcation theory

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