Smoothed particle hydrodynamics for electrophysiological modeling: an alternative to finite element methods

Lluch Álvarez, Èric; Doste Beltrán, Rubén; Giffard-Roisin, Sophie; This, Alexandre; Sermesant, Maxime; Camara, Oscar; Craene, Mathieu de; Morales, Hernán G.

doi:http://dx.doi.org/10.1007/978-3-319-59448-4_32

Smoothed particle hydrodynamics for electrophysiological modeling: an alternative to finite element methods

Citation

Lluch E, Doste R, Giffard-Roisin S, This A, Sermesant M, Camara O, De Craene M, Morales HG. Smoothed particle hydrodynamics for electrophysiological modeling: an alternative to finite element methods. In: Pop M, Wright GA, editors. Functional imaging and modelling of the heart. 9th International Conference, FIMH 2017; 2017 Jun 11-13; Toronto, Canada. [place unknown]: Springer; 2017. p. 333-43. DOI: 10.1007/978-3-319-59448-4_32

Abstract

Finite element methods (FEM) are generally used in cardiac 3D-electromechanical modeling. For FEM modeling, a step of a suitable mesh construction is required, which is non-trivial and time-consuming for complex geometries. A meshless method is proposed to avoid meshing. The smoothed particle hydrodynamics (SPH) method was used to solve an electrophysiological model on a left ventricle extracted from medical imaging straightforwardly, without any need of a complex mesh. The proposed method was compared against FEM in the same left-ventricular model. Both FEM and SPH methods provide similar solutions of the models in terms of depolarization times. Main differences were up to 10.9% at the apex. Finally, a pathological application of SPH is shown on the same ventricular geometry with an added scar on the heart wall.

Description

Comunicació presentada a la 9th international conference on Functional Imaging and Modeling of the Heart (FIMH 2017), celebrada els dies 11 a 13 de juny de 2017 a Toronto, Canadà.