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The propagation of traveling waves in excitable media with randomly distributed diffusion  coefficient is studied. If the characteristic size of the waves is much larger than the  heterogeneity size an effective medium theory based on a self-consistent homogenization  approach can be applied. The random distribution of the medium properties is produced by  domains of two phases. In each phase the values of the diffusion coefficient are  different. The characteristic size of the domains of the two phases is varied in the  numerical simulations. The resulting velocities of the traveling waves found by numerical  simulations of the random media are compared with the predictions of the effective medium  theory. For large size of the heterogeneities in comparison with the diffusion length of  the reaction-diffusion system the numerical results show deviations with respect to the  predictions

Wave Propagation in Excitable Media Through Randomly Distributed Heterogeneities: Simulations and Comparison to the Effective Medium Theory