Microscopic self-organization in biochemical reactions: A lattice model

The interesting spontaneous synchronization of enzymatic turnover cycles pr oposed by Mikhailov and Hess ( Hess, B.; Mikhailov, A. J. Phys. Chem. 1996, 100, 19059.) has been investigated with a lattice model. We demonstrate th at good synchronization activities of enzymatic turnover cycles found in th e original stochastic automaton can be developed in this more realistic mod el when the correlation length created by the fast diffusion of regulatory particles is large enough. Results presented here indicate that the microsc opic self-organization is realistically possible in actual biochemical syst ems if enzymatic turnover times have a weak dispersion.