Multipatch Isogeometric Analysis for electrophysiology: Simulation in a human heart

In the framework of cardiac electrophysiology for human heart, we apply multipatch NURBS-based Isogeometric Analysis space discretization Monodomain model. (IGA) is a technique solution Partial Differential Equations (PDEs) that facilitates encapsulating exact representation computational geometry by using basis functions with high-order continuity. IGA features very small numerical dissipation and dispersion when compared to other methods PDEs. The use multiple patches allows overcome conventional limitations single patch IGA, thanks gained flexibility in design domain, especially its quite involved as bioengineering applications. We propose two algorithms preprocessing CAD models complex surface volumetric NURBS geometries cavities, such atria ventricles: our purpose obtain geometrically parametrically conforming starting from models. employ those construction an realistic heart. equation, which describes evolution action potential time at tissue level. This PDE coupled suitable microscopic define behavior cellular scale: Courtemanche–Ramirez–Nattel model atrial simulation, Luo–Rudy ventricular one. Numerical simulations on ventricle are carried out, obtaining accurate smooth excitation fronts combining approach geometrical domains, either surfaces or solids ventricles.