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:

scopusscopus
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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