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

Abstract

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.

DOI: 10.1080/17513758.2016.1204016

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Cite this paper

@article{Duc2016FinitetimeLE, title={Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus-response curves.}, author={Luu Hoang Duc and Joseph P{\'a}ez Ch{\'a}vez and Doan Thai Son and Stefan Siegmund}, journal={Journal of biological dynamics}, year={2016}, volume={10}, pages={379-94} }