Probabilistic approach for predicting periodic orbits in piecewise affine differential models

DOI10.1007/s11538-012-9773-6zbMath1272.92015OpenAlexW2140755642WikidataQ44975219 ScholiaQ44975219MaRDI QIDQ371986

Madalena Chaves, Jean-Luc Gouzé, Etienne Farcot

Publication date: 11 October 2013

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

Full work available at URL: https://hal.inria.fr/hal-00828847/file/chaves-farcot-gouze-bmb2013.pdf

zbMATH Keywords

genetic networkspiecewise affine models

Mathematics Subject Classification ID

Applications of graph theory (05C90) Special processes (60K99) Genetics and epigenetics (92D10) Directed graphs (digraphs), tournaments (05C20) Systems biology, networks (92C42)

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Cites Work

• Unnamed Item
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• Exact control of genetic networks in a qualitative framework: the bistable switch example
• A mathematical framework for the control of piecewise-affine models of gene networks
• Stable oscillations in mathematical models of biological control systems
• A control problem for affine dynamical systems on a full-dimensional polytope.
• Uncovering operational interactions in genetic networks using asynchronous Boolean dynamics
• 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
• Planar systems of piecewise linear differential equations with a line of discontinuity
• Qualitative dynamics of piecewise-linear differential equations: a discrete mapping approach
• A class of piecewise linear differential equations arising in biological models
• Analysis of continuous-time switching networks