Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves

Journal of Biological Dynamics

Joseph Páez Chávez¹  Stefan Siegmund¹  Doan Thai Son²  Luu Hoang Duc³ 

[1] Center for Dynamics, TU Dresden;Institute of Mathematics, Vietnam Academy of Science and Technology;Max Planck Institute for Mathematics in the Sciences;

关键词: Finite-time Lyapunov spectrum;    transient dynamics;    sigmoidal response curve;    nonautonomous dynamical system;   

DOI  :  10.1080/17513758.2016.1204016

来源: DOAJ

【 摘 要 】

In biochemical networks transient dynamics plays a fundamental role, since the activation of signalling pathways is determined by thresholds encountered during the transition from an initial state (e.g. an initial concentration of a certain protein) to a steady-state. These thresholds can be defined in terms of the inflection points of the stimulus–response curves associated to the activation processes in the biochemical network. In the present work, we present a rigorous discussion as to the suitability of finite-time Lyapunov exponents and metabolic control coefficients for the detection of inflection points of stimulus–response curves with sigmoidal shape.

【 授权许可】

Unknown