Bidomain and eikonal-curvature models for the numerical simulation of the cardiac excitation wavefronts

We briefly review some recent progress in the development of anisotropic models for large scale simulations of the spread of the cardiac excitation. At a macroscopic level the cardiac tissue can be represented by a continuous bidomain model and the excitation process is governed by a degenerate evolution problem of reaction-diffusion (RD) type. This problem exhibits considerable numerical difficulties related to a steep front of the transmembrane potential spreading through the myocardium. In order to perform large scale simulations ...