Abstract
A three-dimensional (3D) electrical action potential propagation model is developed to characterize the integrated effect of cardiac tissue structure using a homogenous function with a spatial inhomogeneity. This method may be more effective for bridging the gap between computational models and experimental data for cardiac tissue anisotropy. A generalized 3D eikonal relation considering anisotropy and a self-similar evolution solution of such a relation are derived to identify the effect of anisotropy and predict the anisotropy-induced electrical wave propagation instabilities. Furthermore, the phase field equation is introduced to obtain the complex three-dimensional numerical solution of the new correlation. The present results are expected to be valuable for better understanding the physiological behavior of cardiac tissues.
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