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

IEEE Transactions on Biomedical Engineering

Volumn 45, Issue 7, 1998, Pages 847-855

  Huiskamp, Geertjan ^a  

^a UNIVERSITY MEDICAL CENTER UTRECHT   (Netherlands)

Author keywords

Anisotropy; Depolarization; Membrane equations; Propagation; Simulation

Indexed keywords

ALGORITHMS; ANISOTROPY; BIOLOGICAL MEMBRANES; COMPUTER SIMULATION; MATHEMATICAL MODELS; TISSUE;

BEELER-REUTER MEMBRANE EQUATIONS; DEPOLARIZATION; DISCRETIZATION;

BIOELECTRIC POTENTIALS;

ALGORITHM; ANISOTROPY; ARTICLE; COMPUTER SIMULATION; HEART DEPOLARIZATION; HEART MUSCLE; MATHEMATICAL ANALYSIS; QRS COMPLEX;

ANISOTROPY; BODY SURFACE POTENTIAL MAPPING; CARDIAC PACING, ARTIFICIAL; ELECTRIC CONDUCTIVITY; HEART VENTRICLES; HUMANS; MODELS, CARDIOVASCULAR; REFERENCE VALUES; VENTRICULAR PREMATURE COMPLEXES;

EID: 0032127484     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/10.686792     Document Type: Article

References (15)

1. R. C. Barr and R. Plonsey, "Propagation of excitation in idealized anisotropic two-dimensional tissue, "Biophysical Journal, vol. 45, pp. 1191-1202, 1984.
2. M. Lorange and R. M. Gulrajani, "A computer heart model incorporating anisotropic propagation-I: Model construction and simulation of normal activation, "J. Electrocardiol., vol. 26, pp. 245-261, 1993.
3. P. Colli-Franzone and L. Guerri, "Spreading of activation in 3-d models of the anisotropic cardiac tissue: I Validation of the eikonal model, "Math. Biosci., vol. 113, pp. 145-209, 1993.
4. B. M. Horâcek, J. Nenonen, J. A. Edens, and L. J. Léon, "A hybrid model of propagated excitation in the ventricular myocardium, " in Biomédical and Life Physics, D. N. Ghista, Ed. Wiesbaden, Germany: Vie weg Verlag, 1996, pp. 181-189; in Proc. 2nd Gauss Symp., Munich, Germany, Aug. 2-8.
5. L. J. Leon and B. M. Horâcek, "Computer model of excitation and recovery in the anisotropic myocardium-I: Rectangular and cubic arrays of excitable elements, "/ Electrocardiol., vol. 24, pp. 1-15, 1991.
6. A. E. Pollard, M. J. Burgess, and K. W. Spitzer, "Computer simulations of three-dimensional propagation in ventricular myocardium. Effects of intramural fiber rotation and inhomogeneous conductivity on epicardial activation, "Circ. Res., vol. 72, pp. 744-756, 1993.
7. I. Zubair, A. E. Pollard, K. W. Spitzer, and M. J. Burgess, "Effects of activation sequence on the spatial distribution of repolarization properties, "J. Electrocardioi, vol. 27, pp. 115-127, 1994.
8. J. P. Drouhard and F. A. Roberge, "Revised formulation of the Hodgkin-Huxley representation of the sodium current in cardiac cells, "Comput., Biomed. Res., vol. 20, pp. 333-350, 1986.
9. P. J. Hunter, P. M. Nielsen, B. H. Smaill, I. J. LeGrice, and I. W. Hunter, "An anatomical heart model with applications to myocardial activation and ventricular mechanic, "CRC Crit. Rev. Biomed. Eng., vol. 20, pp. 403-26, 1992.
10. S. Rush and H. Larsen, "A practical algorithm for solving dynamic membrane equations, "IEEE Trans. Biomed. Eng., vol. BME-25, pp. 389-392, 1978.
11. D. Durrer, R. Th. van Dam, G. E. Freud, M. J. Janse, F. L. Meijler, and R. C. Arzbaecher, "Total excitation of the isolated human heart, "Circ., vol. 41, pp. 899-912, 1970.
12. D. B. Geselowitz, "Description of cardiac sources in anisotropic cardiac muscle. Application of bidomain model, "J. Electrocardioi., vol. 25, suppl, pp. 65-67, 1992.
13. A. van Oosterom, "Simulations of the ECG based on the uniform double layer as a source, " in Simulation and Control of the Cardiac System, Vol. Ill, S. Sideman and R. Beyar, Eds. Boca Raton, FL: CRC, 1987, pp. 43-54.
14. A. van Oosterom and G. J. M. Huiskamp, "The effect of torso inhomogeneities on body surface potentials quantified by using tailored geometry, "J. Electrocardioi., vol. 22, pp. 53-72, 1989.
15. C. Luo and Y Rudy, "A dynamic model of the cardiac ventricular action potential. I. Simulation of ionic currents and concentration changes, "Circ. Res., vol. 74, pp. 1071-1096, 1994.