An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso.

作者: Joakim Sundnes , Glenn Terje Lines , Aslak Tveito

DOI: 10.1016/J.MBS.2005.01.001

关键词: DiscretizationNumerical analysisBidomain modelSeparable partial differential equationMathematicsNumerical partial differential equationsMathematical analysisMethod of characteristicsNumerical stabilityExponential integrator

摘要: … consists of two partial differential equations (PDEs) coupled … This requires the equations to be coupled to a third PDE, … cells, which is coupled to the PDE system through the non-linear …

参考文章(17)
Leslie Tung, A bi-domain model for describing ischemic myocardial d-c potentials. Massachusetts Institute of Technology. ,(1978)
J. P. Keener, K. Bogar, A numerical method for the solution of the bidomain equations in cardiac tissue Chaos: An Interdisciplinary Journal of Nonlinear Science. ,vol. 8, pp. 234- 241 ,(1998) , 10.1063/1.166300
P. Colli Franzone, L. Guerri, S. Rovida, Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations. Journal of Mathematical Biology. ,vol. 28, pp. 121- 176 ,(1990) , 10.1007/BF00163143
Bradley J. Roth, A comparison of two boundary conditions used with the bidomain model of cardiac tissue. Annals of Biomedical Engineering. ,vol. 19, pp. 669- 678 ,(1991) , 10.1007/BF02368075
David B. Geselowitz, W. T. Miller, A bidomain model for anisotropic cardiac muscle Annals of Biomedical Engineering. ,vol. 11, pp. 191- 206 ,(1983) , 10.1007/BF02363286
Gilbert Strang, On the Construction and Comparison of Difference Schemes SIAM Journal on Numerical Analysis. ,vol. 5, pp. 506- 517 ,(1968) , 10.1137/0705041
Glenn Terje Lines, Per Grottum, Aslak Tveito, Modeling the electrical activity of the heart: A Bidomain Model of the ventricles embedded in a torso Computing and Visualization in Science. ,vol. 5, pp. 195- 213 ,(2002) , 10.1007/S00791-003-0100-5
J. Sundnes, G.T. Lines, K.A. Mardal, A. Tveito, Multigrid block preconditioning for a coupled system of partial differential equations modeling the electrical activity in the heart. Computer Methods in Biomechanics and Biomedical Engineering. ,vol. 5, pp. 397- 409 ,(2002) , 10.1080/1025584021000025023
J.M. Rogers, A.D. McCulloch, A collocation-Galerkin finite element model of cardiac action potential propagation IEEE Transactions on Biomedical Engineering. ,vol. 41, pp. 743- 757 ,(1994) , 10.1109/10.310090
Zhilin Qu, A. Garfinkel, An advanced algorithm for solving partial differential equation in cardiac conduction IEEE Transactions on Biomedical Engineering. ,vol. 46, pp. 1166- 1168 ,(1999) , 10.1109/10.784149