A parallel solver for anisotropic cardiac models

A parallel solver for numerical simulations of a full cardiac cycle in three dimensional domains, based on the anisotropic monodomain and bidomain models, is presented. The solver employs structured isoparametric trilinear finite elements in space and a semi-implicit adaptive method in time. Parallelization and portability are based on the PETSc parallel library. Large-scale parallel computations have been run, simulating anisotropic dispersion of the action potential duration.

[1]  B. Taccardi,et al.  Anisotropic Mechanisms for Multiphasic Unipolar Electrograms: Simulation Studies and Experimental Recordings , 2000, Annals of Biomedical Engineering.

[2]  R. Lux,et al.  Effect of Myocardial Fiber Direction on Epicardial Potentials , 1994, Circulation.

[3]  Dd. Streeter,et al.  Gross morphology and fiber geometry of the heart , 1979 .

[4]  G. Salama,et al.  Activation and Repolarization Patterns are Governed by Different Structural Characteristics of Ventricular Myocardium: , 1996, Journal of cardiovascular electrophysiology.

[5]  D. R. Jones,et al.  1 - The Heart , 1992 .

[6]  P. Wolf,et al.  Region Specific Modeling of Cardiac Muscle: Comparison of Simulated and Experimental Potentials , 2002, Annals of Biomedical Engineering.

[7]  P. Hunter,et al.  Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. , 1995, The American journal of physiology.

[8]  A. Cates,et al.  A Model Study of Intramural Dispersion of Action Potential Duration in the Canine Pulmonary Conus , 1998, Annals of Biomedical Engineering.

[9]  Michael C. Fishbein,et al.  944-69 Anisotropic Repolarization in Ventricular Tissue , 1995 .

[10]  B. Victorri,et al.  Numerical integration in the reconstruction of cardiac action potentials using Hodgkin-Huxley-type models. , 1985, Computers and biomedical research, an international journal.

[11]  C. Luo,et al.  A model of the ventricular cardiac action potential. Depolarization, repolarization, and their interaction. , 1991, Circulation research.