A Hybrid Approach to Reaction-Diffusion Processes Simulation

A hybrid approach for simulating reaction-diffusion processes is proposed. It combines into a single iterative procedure Boolean operations of Cellular Automata Diffusion with real number computation of nonlinear reaction function. The kernel of the proposed approach is in constructing methods for transforming reals into spatial distribution of Boolean values. Two algorithms are proposed and illustrated by the simulation of some well studied typical reaction-diffusion phenomena. Computational features of the methods are discussed and problems for future research are outlined.