Home – Home – Jornals – Avtometriya 2003 number 3

A method is proposed for constructing a probabilistic cellular automaton (CA) whose evolution simulates a spatially distributed diffusion-reaction process. In the method, both the diffusion and reaction process components, which are usually given as a Laplace operator and a nonlinear function, respectively, are represented by special operations on Boolean arrays. The kernel of the operations is a transformation  of a real spatial function into a Boolean array whose averaged form approximates the initial function. Transition rules of the resulting CA are a combination of the transition function of a CA-model of the diffusion component and a probabilistic threshold function depending on the reaction. Approximation errors are assessed and some simulation results are presented.