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Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curvesLuu, Hoang Duc, Chávez , Joseph Páez, Son, Doan Thai, Siegmund, Stefan 19 December 2016 (has links) (PDF)
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.
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Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curvesLuu, Hoang Duc, Chávez, Joseph Páez, Son, Doan Thai, Siegmund, Stefan 19 December 2016 (has links)
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.
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