A modelling framework for gene regulatory networks including transcription and translation

DOI10.1007/s11538-015-0073-9zbMath1335.92031OpenAlexW1965421273WikidataQ50950039 ScholiaQ50950039MaRDI QIDQ891836

Anna Machina, Geoffrey McGregor, Roderick Edwards, Pauline van den Driessche

Publication date: 17 November 2015

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

Full work available at URL: https://doi.org/10.1007/s11538-015-0073-9

zbMATH Keywords

singular perturbationpiecewise-lineargene regulationmRNA-protein modeltranscription-translation model

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Discontinuous ordinary differential equations (34A36) Systems biology, networks (92C42)

Related Items (13)

Dynamics of transcription-translation networks ⋮ Into higher dimensions for nonsmooth dynamical systems ⋮ Convergence properties of posttranslationally modified protein-protein switching networks with fast decay rates ⋮ Global dynamics for steep nonlinearities in two dimensions ⋮ Smoothing tautologies, hidden dynamics, and sigmoid asymptotics for piecewise smooth systems ⋮ Global dynamics for switching systems and their extensions by linear differential equations ⋮ Super-transient scaling in time-delay autonomous Boolean network motifs ⋮ Hybrid models of genetic networks: mathematical challenges and biological relevance ⋮ Dynamics of complex feedback architectures in metabolic pathways ⋮ Analysis of a genetic-metabolic oscillator with piecewise linear models ⋮ Comparison of Combinatorial Signatures of Global Network Dynamics Generated by Two Classes of ODE Models ⋮ Hidden Bifurcations and Attractors in Nonsmooth Dynamical Systems ⋮ Combinatorial Representation of Parameter Space for Switching Networks

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