Thresholds in transient dynamics of signal transduction pathways

DOI10.1016/j.jtbi.2010.02.001zbMath1406.92275OpenAlexW1981154922WikidataQ51722849 ScholiaQ51722849MaRDI QIDQ1716219

Katja Rateitschak, Olaf Wolkenhauer

Publication date: 4 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.02.001

zbMATH Keywords

Lyapunov exponentssignal transductionHill equationtransient dynamicsmetabolic control coefficientrelative instability exponent

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items (5)

Finite-time attractivity for semilinear functional differential inclusions ⋮ Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems ⋮ Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh-Stokes equations ⋮ Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves ⋮ Finite-time attractivity for semilinear fractional differential equations

Uses Software

• Matlab

Cites Work

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• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Sensitivity analysis of stoichiometric networks: an extension of metabolic control analysis to non-steady state trajectories
• Ergodic theory of chaos and strange attractors
• Distinguished material surfaces and coherent structures in three-dimensional fluid flows

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