Codice | 20/2010 |
Titolo | Numerical solution of an active strain formulation for the electromechanical activity in the heart |
Data | 2010-06-09 |
Autore/i | Nobile, Fabio; Quarteroni, Alfio; Ruiz Baier, Ricardo |
Link | Download full text |
Abstract | We propose a finite element method for solving a system of equations describing the coupling
between cardiac mechanics and electrical signalling. The model is based on a multiplicative
decomposition of the deformation tensor into a passive and active part, the latter carrying
the information of the electrical potential propagation and anisotropy of the cardiac tissue into the equations of incompressible or nearly incompressible nonlinear elasticity, governing the
mechanical response of the biological material. Moreover, by changing from an Eulerian to
a Lagrangian configuration, the underlying problem exhibits a nonlinear diffusion term in the
equations of the electrical propagation (namely, the bidomain and monodomain equations).
Piecewise quadratic finite elements are used to approximate the displacements field, while for
pressure, electrical potentials and ionic variables, we use piecewise linear elements. Various test cases show that the proposed method is able to capture some important features of the
studied phenomenon, and illustrate the behavior of the global model. |
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