Duc Luu Hoang, Chávez Joseph Páez, Son Doan Thai, Siegmund Stefan
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.
J Biol Dyn. 2016;10:379-94. doi: 10.1080/17513758.2016.1204016.
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.
