A conduction velocity adapted eikonal model for electrophysiology problems with re-excitability evaluation

The propagation of an electrical stimulus in the cardiac tissue is mathematically described by the bidomain model (Tung, 1978; Clements et  al., 2004) that is a system of a parabolic reaction-diffusion and an elliptic PDEs describing the electrical state of an intracellular and an extracellular continuum media, separated by the cell membrane. The electrical state of the cell membrane characterising the reaction term is described by a non-linear system of ODEs that either represents the biophysical fluxes of the ion species across the cell membrane ((Luo and Rudy, 1991; 1994; Ten Tusscher et al., 2004)), or that tries to reproduce the shape of the action potential in a phenomenological manner ((Mitchell and Schaeffer, 2003; Ali ev and Panfilov, 1996)).

Source: Medical Image Analysis - November 3, 2017 Category: Radiology Authors: Cesare Corrado, Nejib Zemzemi Source Type: research