Chaotic dynamics in an electronic model of a genetic network

DOI10.1007/s10955-005-7009-yzbMath1091.37026OpenAlexW2076590236WikidataQ57942483 ScholiaQ57942483MaRDI QIDQ2492837

Leon Glass, Hava T. Siegelmann, Jonathan Mason, Theodore J. Perkins, Roderick Edwards

Publication date: 14 June 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.472.6524

zbMATH Keywords

chaosinverse problemlimit cycle oscillationtime seriessymbolic dynamicstopological entropyPoincaré mapstatistical methodsgenetic networkselectronic circuitpiecewise-linear ordinary differential equations

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Analytic circuit theory (94C05) Time series analysis of dynamical systems (37M10) Genetics and epigenetics (92D10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (7)

Dynamics in hybrid complex systems of switches and oscillators ⋮ Horseshoes in 4-dimensional piecewise affine systems with bifocal heteroclinic cycles ⋮ Hybrid models of genetic networks: mathematical challenges and biological relevance ⋮ Chaos in a ring circuit ⋮ Chaos in a discrete model of a two-gene system ⋮ Experiments on autonomous Boolean networks ⋮ Causal structure of oscillations in gene regulatory networks: Boolean analysis of ordinary differential equation attractors

Cites Work

• Qualitative simulation of genetic regulatory networks using piecewise-linear models
• Stable oscillations in mathematical models of biological control systems
• Chaos in high-dimensional neural and gene networks
• Numerical and theoretical studies of noise effects in the Kauffman model
• Combinatorial explosion in model gene networks
• An order parameter for networks of automata
• Evolving complex dynamics in electronic models of genetic networks
• Analysis of continuous-time switching networks

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