Before revision:  Here we show how under sufficiently slow dynamics, the dependency of the transient solutions on the initial state of the cells can be mistakenly interpreted as hysteresis and, to quantify this phenomenon, we provide an estimate of the convergence rate to the equilibrium.
After revision:  Here we show how under sufficiently slow dynamics, the dependency of the non-stationary solutions on the initial state of the cells can be mistakenly interpreted as hysteresis and, to quantify this phenomenon, we provide an estimate of the convergence rate to the equilibrium.