Exact dynamics of a bistable chemical reaction model

Dynamics of the chemical reaction model introduced by Fichthorn et al (1989) is discussed along the lines of the authors previous work. They find that the steady-state reaction rate is reached as 1/t in Euclidean dimension d=1 and d=2 is the marginal dimension. The distinction made between the segregation regime and the saturation regime is recovered for the transient regime.