Lattice gas simulations of replicating domains

SILVINA P. DAWSON; BROSL HASSLACHER; JOHN E. PEARSON

Pattern Formation and Lattice Gas Automata (Fields Institute Communications)

American Mathematical Society

Año: 1996; p. 55 - 63

We use the lattice gas cellular automation (LGCA) developed to simulate a process of pattern-formation recently observed in reaction-diffusion systems. We study the reaction mechanism, which is an extension of the Selkov model for glycolytic oscillations. We are able to reproduce the self-replicating domains observed in this work. We use the LGCA simulation to estimate the smallest length-scale on which this process can occur under conditions encountered in the cell. These estimates are similar to those obtained for Turing patterns in the same setting.