Weimar, Joerg RichardTyson, John J.Watson, Layne T.2013-06-192013-06-191991http://hdl.handle.net/10919/19682In this paper, the authors (1) examine general "masks" as discrete approximations to the diffusion equation, showing how to calculate the diffusion coefficient from the elements of the mask; (2) combine the mask with a thresholding operation to simulate the propagation of waves in excitable media, showing that (for well-chosen masks) the waves obey a linear "speed-curvature" relation with slope given by the predicted diffusion coefficient; and (3) assess the utility of different masks in terms of computational efficiency and adherence to a linear speed-curvature relation.application/pdfenIn CopyrightDiffusion and Wave Propagation in Cellular Automaton Models of Excitable MediaTechnical reportTR-91-12http://eprints.cs.vt.edu/archive/00000258/01/TR-91-12.pdf