Turing pattern formation of catalytic reaction diffusion systems in engineering applications

Catalytic reactions with inhibition and cooperativity are common in chemical engineering, processing of engineering materials and biological systems. A theoretical model for competitive and cooperative activity in enzyme reactions is formulated in terms of a pair of coupled nonlinear reaction–diffusion equations. A new stochastic cellular automaton is then constructed to simulate this nonlinear system. Numerical simulations show stable two- and three-dimensional Turing pattern formation, and complex patterns have the interesting feature of self-organized criticality.