2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172A general framework for the simulation of reaction-diffusion systems with probabilistic cellular automata is presented. The basic reaction probabilities of the chemical model translate directly into the transition rules of the automaton, thus allowing a clear comparison between simulation results and analytic calculations. This framework is then applied to simulations of hypercycle-systems in up to three dimensions. Furthermore, a new measurement quantity is introduced and applied to the hypercycle-systems in two and three dimensions. It can be shown that this quantity can be interpreted as a measure for the macroscopic order of the hypercycle systems.11 pages, 13 postscript figures, accepted for publication in the GWAL98 proceedingsAdaptation and Self-Organizing Systemstext