Abstract
In this paper we consider nonplanar reaction-diffusion wave propagation within excitable media, and present some illustrations of one-way blocking caused by the impact of both heterogeneities and boundary effects. The mathematical approach is a geometrical one, and the theory is valid for nonplanar waves with sharp transition layers. Theory and results are discussed in the context of their possible applications. We indicate an extension of the present approach to reaction-diffusion systems possessing multiple fast variables, and its relationship to a multiparameter nonlinear eigenproblem associated with determining the local wave profiles.
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