Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves. (1st January 2016)

• Record Type: Journal Article
• Authors: Hoang Duc, Luu; Páez Chávez, Joseph; Thai Son, Doan; Siegmund, Stefan
• Is Part Of: Journal of biological dynamics. Volume 10(2016)
• Page Start: 379
• Page End: 394
• Publication Date: 2016-01-01
• Subjects: Finite-time Lyapunov spectrum -- transient dynamics -- sigmoidal response curve -- nonautonomous dynamical system; 37N25; Biology -- Mathematical models -- Periodicals; 570.15118
• DOI: 10.1080/17513758.2016.1204016
• Languages: English
• ISSNs: 1751-3758

Abstract

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.