Morphogenesis Simulations with Lattice Gas

Some possibilities of morphogenesis simulations using lattice gas models are illustrated. Starting from a lattice, the model, initially developed in statistical physics, generates random walks of a population of particles in mechanical interactions, respecting basic physical conservation laws (mass and momentum). The behaviour of this model reproduces viscous flows obeying the NavierStokes equations. When considering different types of particles, it is possible to introduce rules of interaction that mimic processes, based on transport phenomena, that generate multiphasis random media on a lattice. This physical approach of simulations is illustrated by constructing random aggregates obtained by diffusion, nucleation and growth.