Pattern formation in enzyme inhibition and cooperativity with cellular automata

Enzyme reactions with inhibition and cooperativity are common in biological systems. A theoretical model for competitive and cooperative enzyme activity is formulated in terms of a pair of coupled nonlinear reaction-diffusion equations so as to derive the corresponding rule-based algorithm and nature-derived updating algorithms. A new stochastic cellular automaton is then constructed to simulate this nonlinear system. Numerical simulations show stable 2-D and 3-D pattern formation, and complex patterns have the interesting feature of self-organized criticality.