University of Guelph
Guelph, Ontario, Canada
Construction and applications of lattice gas automata (LGA) to modelling biochemical processes will be discussed. Adaptation of LGA methodology to modelling self-organization processes in biological systems will be illustrated through the biological interaction automata (BIA).
The statistical mechanical theory of LGA and BIA will be presented and macroscopic PDEs for LGA and BIA will be derived. An important aspect of probabilistic lattice automata method is that it allows to investigate dynamics of reactive and interactive systems at a mesoscopic level that goes beyond phenomenological PDEs description.
The LGA method will be illustrated by considering its applications to study pattern formation and chemical wave propagation processes in biochemistry of a cell. The BIA method will be illustrated by considering its applications to study collective motion and aggregation in biological systems.