Simulation of depolarization in a membrane-equations-based model of the anisotropic ventricle

The results of a simulation study of the propagation of depolarization in inhomogeneous anisotropic (monodomain) myocardial tissue are presented. Simulations are based on modified Beeler-Reuter membrane equations, and performed on a block of anisotropic myocardium with rotating fiber geometry, measuring 1 cm/spl times/1 cm/spl times/0.3 cm, at various levels of spatial discretization (0.15 mm, 0.30 mm, 0.60 mm). At a discretization level of 0.6 mm the algorithm allowed the simulation in a realistically shaped model of the ventricle, including rotational anisotropy, as well. For this simulation results are justified by comparing results for the block at various levels of discretization, for which the surface to volume ratio has been adjusted. By placing the model ventricle in a realistically shaped (human) volume conductor model, realistic body surface potentials (QRST waveforms) are simulated.

[1]  P. C. Franzone,et al.  Spreading of excitation in 3-D models of the anisotropic cardiac tissue. I. Validation of the eikonal model. , 1993, Mathematical biosciences.

[2]  B M Horácek,et al.  Computer model of excitation and recovery in the anisotropic myocardium. II. Excitation in the simplified left ventricle. , 1991, Journal of electrocardiology.

[3]  J. Nenonen,et al.  A Hybrid Model of Propagated Excitation in the Ventricular Myocardium , 1996 .

[4]  D. Durrer,et al.  Total Excitation of the Isolated Human Heart , 1970, Circulation.

[5]  S. Rush,et al.  A Practical Algorithm for Solving Dynamic Membrane Equations , 1978, IEEE Transactions on Biomedical Engineering.

[6]  R M Gulrajani,et al.  A computer heart model incorporating anisotropic propagation. I. Model construction and simulation of normal activation. , 1993, Journal of electrocardiology.

[7]  M. Burgess,et al.  Computer simulations of three-dimensional propagation in ventricular myocardium. Effects of intramural fiber rotation and inhomogeneous conductivity on epicardial activation. , 1993, Circulation research.

[8]  D. Geselowitz Description of cardiac sources in anisotropic cardiac muscle. Application of bidomain model. , 1992, Journal of electrocardiology.

[9]  M. Burgess,et al.  Effects of activation sequence on the spatial distribution of repolarization properties. , 1994, Journal of electrocardiology.

[10]  C. Luo,et al.  A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes. , 1994, Circulation research.

[11]  R M Gulrajani,et al.  A computer heart model incorporating anisotropic propagation. II. Simulations of conduction block. , 1993, Journal of electrocardiology.

[12]  F A Roberge,et al.  Revised formulation of the Hodgkin-Huxley representation of the sodium current in cardiac cells. , 1987, Computers and biomedical research, an international journal.

[13]  I W Hunter,et al.  An anatomical heart model with applications to myocardial activation and ventricular mechanics. , 1992, Critical reviews in biomedical engineering.

[14]  A. van Oosterom,et al.  The effect of torso inhomogeneities on body surface potentials quantified using "tailored" geometry. , 1989, Journal of electrocardiology.

[15]  R. Barr,et al.  Propagation of excitation in idealized anisotropic two-dimensional tissue. , 1984, Biophysical journal.

[16]  B M Horácek,et al.  Computer model of excitation and recovery in the anisotropic myocardium. I. Rectangular and cubic arrays of excitable elements. , 1991, Journal of electrocardiology.