Response dynamics of perfect adaptation in cells

Abstract

Cells are capable of responding to external stimuli manifesting different dynamical behaviors. An interesting case is the perfect adaptation response, which means that when the amount of stimulus is changed abruptly and permanently, the response is only transient and returns to its previous levels of activity. The aim of this work is to analyse three different models, two of them previously reported, and study if they show perfect adaptation and in what conditions. Using numerical methods and through mathematical analysis, we reproduce known results and characterize new scenarios