We introduce an original chemical reaction between two transparent reactant solutions (fluorescin and potassium ferricyanide), producing a fluorescent product in water (fluorescein). The has tunable kinetics, allowing the quantitative investigation of interplay molecular diffusion kinetics various field topologies. document its sensitivity to ambient pH, temperature, reactants concentrations, e...

in this work the mathematical model of a spatial pattern inchemical and biological systems is investigated numerically. theproposed model considered as a nonlinear reaction-diffusionequation. a computational approach based on finite difference andrbf-collocation methods is conducted to solve the equation withrespect to the appropriate initial and boundary conditions. theability and robustness o...

Fluctuations in diffusion-controlled reactions lack the necessary features for a mesoscopic description. We show how the correlations dominate the dynamics by juxtaposing the macroscopic dynamics of a cellular automaton model for the diffusion-controlled limit to the deterministic diffusion-reaction rate equation for the same reaction. A more detailed N-body master equation is then presented in...