title: 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.
authors.affiliation: a Max Planck Institute for Mathematics in the Sciences , Leipzig , Germany.|b Department of Probability and Statistics , Institute of Mathematics, Vietnam Academy of Science and Technology , Hanoi , Vietnam.
authors.forename: Luu Hoang
authors.initials: LH
authors.lastname: Duc
authors.affiliation: c Department of Mathematics , Center for Dynamics, TU Dresden , Dresden , Germany.|d Facultad de Ciencias Naturales y Matemáticas , Escuela Superior Politécnica del Litoral , Guayaquil , Ecuador.
authors.forename: Joseph Páez
authors.initials: JP
authors.lastname: Chávez
authors.affiliation: b Department of Probability and Statistics , Institute of Mathematics, Vietnam Academy of Science and Technology , Hanoi , Vietnam.
authors.forename: Doan Thai
authors.initials: DT
authors.lastname: Son
authors.affiliation: c Department of Mathematics , Center for Dynamics, TU Dresden , Dresden , Germany.
authors.forename: Stefan
authors.initials: S
authors.lastname: Siegmund
mesh_terms: D008660:Metabolism; D008962:Models, Theoretical
keywords: 37N25; Finite-time Lyapunov spectrum; nonautonomous dynamical system; sigmoidal response curve; transient dynamics