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.
Año de publicación:
2016
Keywords:
- Finite-time Lyapunov spectrum
- Nonautonomous dynamical system
- Transient dynamics
- Sigmoidal response curve
Fuente:
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Tipo de documento:
Article
Estado:
Acceso abierto
Áreas de conocimiento:
- Optimización matemática
Áreas temáticas:
- Principios generales de matemáticas
- Bioquímica
- Sistemas fisiológicos específicos de los animales