One-dimensional modelling of the vulnerability to re-entry of homogeneous atrial tissue

Journal of Theoretical Biology

Volumn 184, Issue 2, 1997, Pages 117-122

  Zhang, H ^a   Holden, A V ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACETYLCHOLINE; ADENOSINE TRIPHOSPHATASE (POTASSIUM SODIUM); POTASSIUM ION;

ARTICLE; ENZYME INHIBITION; HEART ATRIUM; HEART CONDUCTION; HEART EXCITATION; MATHEMATICAL MODEL; NERVE BLOCK; POTASSIUM CURRENT; PRIORITY JOURNAL; REENTRY ARRHYTHMIA;

EID: 0031581654     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0280     Document Type: Article

References (23)

1. ALLESSIE, M. A., LAMMERS, WIM J. E. P., BONKE, I. M. & HOLLEN, J. (1984). Intra-atrial re-entry as a mechanism for atrial flutter induced by acetylcholine and rapid pacing in the dog. Circulation 70 (1), 123-135.
2. BIKTASHEV, V. N. & HOLDEN, A. V. (1995). Control of re-entrant activity in a model of mammalian atrial tissue. Proc. R. Soc. Lond. B 260, 211-217.
3. BOYETT, M. R. & FEDIDA, D. (1984). Changes in the electrical activity of dog cardiac Purkinje fiber at high rates. J. Physiol. 350, 361-391.
4. BOYETT, M. R. & FEDIDA, D. (1988). A computer simulation of the effect of heart rate on ion concentration in the heart. J. theor. Biol. 132, 15-27.
5. BOYETT, M. R., HOLDEN, A. V., KODAMA, I., SUZUKI, R. & ZHANG, H. (1995). Atrial modulation of sinoatrial pacemaker rate. Chaos, Soliton & Fractals 5(3/4), 425-438.
6. EAGAN, T. M. & NOBLE, S. J. (1987). Acetylcholine and mammalian "slow inward" current: a computer investigation. Proc. R. Soc. Lond. B 230, 315-337.
7. EARM, Y. E. & NOBLE, D. (1990). A model for the single atrial cell: relation between calcium current and calcium release. Proc. R. Soc. Lond. B 240, 83-96.
8. FOZZARD, H. A., HABER, E., JENNINGS, R. B. & KATZ, A. M. (1991). (eds) The Heart and Cardiovascular System. New York: Raven Press.
9. HILGEMANN, D. W. & NOBLE, D. (1987). Excitation-contraction and extracellular calcium transients in rabbit atrium: reconstruction of basic cellular mechanisms. Proc. R. Soc. Lond. B 230, 163-205.
10. HOLDEN, A. V., MARKUS, M. & OTHMER, H. G. (1991). (eds) Nonlinear wave processes in excitable media In: NATO ASI Series B: Physics Vol. 244, New York: Plenum Press.
11. HOLDEN, A. V. & ZHANG, H. (1995). Characteristics of atrial re-entry and meander computed from a model of a rabbit single atrial cell. J. theor. Biol. 175, 545-551.
12. NOBLE, D. (1979). The Initiation of the Heartbeat. Oxford: Oxford University Press.
13. NOBLE, D. & BETT, G. C. L. (1993). Reconstructing the heart: a challenge for integrative physiology. Cardiovas. Res. 27, 1701-1712.
14. NOBLE, D. (1994). Oxsoft heart manual. Version 4.4. Oxford, UK.
15. NOBLE, D. (1995). The development of mathematical models of the heart. Chaos, Soliton & Fractals 5 (3/4), 321-334.
16. PANFILOV, A. V. & HOLDEN, A. V. (eds) (1996). Computational Biology of the Heart. Chichester: John Wiley.
17. QUAN, W. & RUDY, Y. (1989). Unidirectional block and re-entry of cardiac excitation: A model study. Circ Res. 66, 367-382.
18. RICE, J. J., WINSLOW, R. L. & KOHL, P. (1995). Conduction velocity in a model strand of cardiomyocytes is linearly related to intracellular sodium concentration. J. Physiol. 487P, 15-16,
19. STARMER, C. F., BIKTASHEV, V. N., ROMASHKO, D. N., STEPANOV, M. R., MAKAROVA, O. N. & KRINSKY, V. I. (1993). Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation. Biophys. J. 65, 1775-1787.
20. VARRO, A., SAITOH, H. & SURAWIC, B. (1987). Effects of antiarrhythmic drugs on premature action potential duration in canine ventricular muscle fibers. J. Cardiovas. Pharmacol. 10(4), 407-414.
21. WINSLOW, R. L., KIMBALL, A., VARGHESE, A. & NOBLE, D. (1993a). Simulation of cardiac sinus and atrial network dynamics on the connection machine. Physica D. 64, 281-298.
22. WINSLOW, R. L., VARGHESE, A., NOBLE, D., ADLAKHA, C. & HOYTHYA, A. (1993b). Generation and propagation of ectopic beats induced by spatially localised Na-K pump inhibition in atrial network model. Proc. Roy. Soc. 254B, 55-61.
23. ZHANG, H. & WINSLOW, R. L. (1995). The role of shift of the vulnerable window in initiation of re-entrant excitation in a model of inhomogeneous atrial tissue. J. Physiol. 487P, 125-126.