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Free keywords:
Pattern formation in chemical reactions with diffusion, flow and heat transfer; <br>Synchronization; coupled oscillators (nonlinear dynamical systems); <br>Enzyme kinetics; Chemical waves (multicellular phenomena)
Abstract:
Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations is investigated. Stochastic simulations show that catalytic turnover cycles of individual enzymes can become coherent and that complex wave patterns of molecular synchronization can develop. The analysis based on the mean-field approximation indicates that the observed patterns result from the presence of Hopf and wave bifurcations in the considered system.