2401 Recent advances on numerical methods and parallel solvers for the cardiac function

  • Luca F. Pavarino, Università degli Studi di Pavia
  • Simone Scacchi
  • Christian Vergara

The mathematical and numerical modeling of the cardiac function is one of the most challenging problems in the field of scientific computing. The heartbeat represents a complex multiphysical phenomenon, coupling the bioelectrical, mechanical and fluid dynamical aspects of the cardiac function. The propagation of the electrical impulse through the cardiac tissue is mathematically described by non-linear reaction-diffusion equations. The subsequent mechanical contraction and relaxation process is described by the large deformation elasticity equations together with a model for the active force. The ejection of blood from atria to ventricles and then from ventricles to the circulatory system, induced by the mechanical contraction of the cardiac muscle, is described by the Navier-Stokes equations. The coupling of these models poses great theoretical and numerical challenges.
The aim of this minisymposium is to bring together researchers worldwide, who are working on the development of advanced space and time discretization techniques for single core models, scalable solvers and preconditioners, accurate and efficient numerical technique to handle the coupling of cores, highly effective computational softwares codes to speed up cardiac numerical simulations based on the above mathematical models, and applications to clinical problems.

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