Periodic solutions of gene networks with steep sigmoidal regulatory functions

DOI10.1016/j.physd.2014.04.013zbMath1349.92052OpenAlexW2033760750WikidataQ57942386 ScholiaQ57942386MaRDI QIDQ2832917

Liliana Ironi, Roderick Edwards

Publication date: 15 November 2016

Published in: Physica D: Nonlinear Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2014.04.013

zbMATH Keywords

periodic solutionssingular perturbationgene regulatory networkactive regulationsigmoidal interaction

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items (9)

Dynamics of transcription-translation networks ⋮ Model Rejection and Parameter Reduction via Time Series ⋮ A modelling framework for gene regulatory networks including transcription and translation ⋮ Global dynamics for switching systems and their extensions by linear differential equations ⋮ Hybrid models of genetic networks: mathematical challenges and biological relevance ⋮ Assigning probabilities to qualitative dynamics of gene regulatory networks ⋮ Nonlinear and temporal multiscale dynamics of gene regulatory networks: a qualitative simulator ⋮ Ramp approximations of sigmoid control functions in gene networks ⋮ Combinatorial Representation of Parameter Space for Switching Networks

Uses Software

• Maxima
• GNA

Cites Work

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• Chaos in high-dimensional neural and gene networks
• Geometric properties of a class of piecewise affine biological network models
• Piecewise-linear models of genetic regulatory networks: equilibria and their stability
• Explicit construction of chaotic attractors in Glass networks
• Chaos in neural and gene networks with hard switching
• Singular Dynamics in Gene Network Models
• A class of piecewise linear differential equations arising in biological models
• Periodic solutions in systems of piecewise- linear differential equations
• Limit cycles in piecewise-affine gene network models with multiple interaction loops
• Analysis of continuous-time switching networks

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