A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation

We propose a novel mathematical and numerical model for cardiac electromechanics, wherein biophysically detailed core models describe the different physical processes concurring to function. The models, once suitably approximated, are coupled by computationally efficient strategy. Our is based on: (1) combination of implicit-explicit (IMEX) schemes solve (2) an Artificial Neural Network model, that surrogates but demanding microscale active force generation (3) appropriate partitioned couple in this multiphysics setting. employ flexible scalable intergrid transfer operator, which allows interpolate Finite Element functions between nested meshes and, possibly, among arbitrary spaces models. 3D electromechanical left ventricle with closed-loop 0D vascular network (and other chambers) approach energy preserving. More precisely, we derive balance law mechanical whole circulatory network. This provides quantitative insight into utilization, dissipation compartments cardiovascular during stages heartbeat. On ground, new tool proposed validate some indicators adopted daily clinical practice. A further contribution paper proposition robust algorithm reconstruction stress-free reference configuration. feature fundamental correctly initialize our simulations. As matter fact, geometry acquired from medical imaging typically refers configuration affected residual internal stresses, whereas elastodynamics equations govern mechanics related To prove biophysical accuracy computational address scenarios interest, namely varying preload, afterload contractility.