Computational analysis of the roles of biochemical reactions in anomalous diffusion dynamics
Rueangkham Naruemon1, Modchang Charin1, 2, 3, †,
       

(a) Monte Carlo results for the mean-square displacement, 〈r2〉, as a function of time, t, for free diffusion (normal) and reaction diffusion (anomalous) in a linear plot. (b) Monte Carlo MSD is plotted as log (〈r2〉/t) versus logt. The slope of a straight line in this plot is α − 1; thus, normal diffusion dynamics yields a horizontal line. (c) The concentrations of the reactant, (Ca2+), and product, (CaB), as a function of time. The total calcium concentration, (CaT), is also shown.