Biomedical Engineering Reference
In-Depth Information
[38] Lines G.T., Buist M.L., Grottum P., Pullan A.J., Sundnes J., Tveito A.: Mathematical mod-
els and numerical methods for the forward problem in cardiac electrophysiology. Comput.
Visual. Sci.
5
(4): 215-239, 2003.
[39] Lines G.T., Grøttum P., Tveito A.: Modeling the electrical activity of the heart: a bidomain
model of the ventricles embedded in a torso. Comput. Vis. Sci.
5
(4): 195-213, 2003.
[40] Luo C., Rudy Y.: A dynamic model of the cardiac ventricular action potential. i. simulations
of ionic currents and concentration changes. Circ. Res.
74
(6): 1071-1096, 1994.
[41] Luo C.H., Rudy Y.: A model of the ventricular cardiac action potential. depolarisation, repo-
larisation,and their interaction. Circ. Res.
68
(6): 1501-1526, 1991.
[42] Malmivuo J., Plonsey R.: Bioelectromagnetism. Principles and applications of bioelectric and
biomagnetic fields. Oxford University Press, New York, 1995.
[43] Mitchell C.C., Schaeffer D.G.: A two-current model for the dynamics of cardiac membrane.
Bulletin Math. Bio.
65
: 767-793, 2003.
[44] Murillo M., Cai X.-C.: A fully implicit parallel algorithm for simulating the non-linear elec-
trical activity of the heart. Numer. Linear Algebra Appl.
11
(2-3): 261-277, 2004.
[45] Nagumo J., Arimoto S., Yoshizawa S.: An active pulse transmission line simulating nerve
axon. Proceedings of the IRE
50
(10): 2061-2070, 1962.
[46] Neu J.C., Krassowska W.: Homogenization of syncytial tissues. Crit. Rev. Biomed. Eng.
21
(2): 137-199, 1993.
[47] Nickerson D., Smith N.P., Hunter P.: New developments in a strongly coupled cardiac elec-
tromechanical model. Europace
7
Suppl 2: 118-127, 2005.
[48] Noble D., Varghese A., Kohl P., Noble P.: Improved guinea-pig ventricular cell model in-
corporating a diadic space, ikr and iks, and length- and tension-dependent processes. Can. J.
Cardiol.
14
(1): 123-134, 1998.
[49] Pennacchio M., Savare G., Colli Franzone P.: Multiscale modeling for the bioelectric activity
of the heart. SIAM Journal on Mathematical Analysis
37
(4): 1333-1370, 2005.
[50] Potse M., Dube B., Gulrajani M.: ECG simulations with realistic human membrane, heart,
and torso models. In Proceedings of the 25th Annual Intemational Conference of the IEEE
EMBS, pp. 70-73, 2003.
[51] Potse M., Dube B., Richer J., Vinet A., Gulrajani R.M.: A comparison of monodomain and
bidomain reaction-diffusion models for action potential propagation in the human heart. IEEE
Trans. Biomed. Eng.
53
(12): 2425-2435, 2006.
[52] Potse M., Dube B., Vinet A.: Cardiac anisotropy in boundary-element models for the electro-
cardiogram. Med. Biol. Eng. Comput.
47
: 719-729, 2009.
[53] Pullan A.J., Buist M.L., Cheng L.K.: Mathematically modelling the electrical activity of the
heart: From cell to body surface and back again. World Scientific Publishing Co. Pte. Ltd.,
Hackensack, NJ, 2005.
[54] Qu Z., Xie Y., Garfinkel A., Weiss J.N.: T-wave Alternans and Arrhythmogenesis in Cardiac
Diseases. Frontiers in Physiology
1
(154): 1, 2010.
[55] Quarteroni A., Valli A.: Domain decomposition methods for partial differential equations.
Numerical Mathematics and Scientific Computation. The Clarendon Press Oxford University
Press, 1999.
[56] Rathinam M., Petzold L.R.: A new look at proper orthogonal decomposition. SIAM Journal
on Numerical Analysis
41
(5): 1893-1925, 2004.
[57] Roger J.M., McCulloch A.D.: A collocation-Galerkin finite element model of cardiac action
potential propagation. IEEE Trans. Biomed. Engr.
41
(8): 743-757, 1994.
[58] Sachse F.B.: Computational Cardiology: Modeling of Anatomy, Electrophysiology, and Me-
chanics. Springer, 2004.
[59] Skouibine N., Trayanova K., Moore P.: A numerically efficient model for simulation of de-
fibrillation in an active bidomain sheet of myocardium. Math. Biosci.
166
(1): 85-100, 2000.
[60] Stetter H.J.: The defect correction principle and discretization methods. Numer. Math.
29
:
425-443, 1978.
[61] Sundnes J., Lines G.T., Cai X., Nielsen B.F., Mardal K.-A., Tveito A.: Computing the elec-
trical activity in the heart. Springer, 2006.
