A comparison of 1-D models of cardiac pacemaker heterogeneity

IEEE Transactions on Biomedical Engineering

Volumn 53, Issue 2, 2006, Pages 164-177

  Cloherty, Shaun L ^a   Dokos, Socrates ^a   Lovell, Nigel H ^a,b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b IEEE

Author keywords

Action potential heterogeneity; Frequency entrainment; Mathematical modeling; Monodomain model; Sinoatrial node

Indexed keywords

ACTION POTENTIAL HETEROGENEITY; FREQUENCY ENTRAINMENT; MONODOMAIN MODEL; SINOATRIAL MODE;

BIOLOGICAL MEMBRANES; CARDIOLOGY; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; MATHEMATICAL MODELS; TISSUE;

PACEMAKERS;

ACTION POTENTIAL; ARTICLE; CELL HETEROGENEITY; CELL MEMBRANE; CELL TYPE; CONDUCTANCE; ELECTRIC ACTIVITY; HEART ATRIUM; HEART EXCITATION; HEART MUSCLE CELL; MATHEMATICAL MODEL; RABBIT; SINUS NODE;

ACTION POTENTIALS; ANIMALS; BIOLOGICAL CLOCKS; COMPUTER SIMULATION; HEART CONDUCTION SYSTEM; HUMANS; MODELS, CARDIOVASCULAR; MYOCYTES, CARDIAC; SINOATRIAL NODE; SYNAPTIC TRANSMISSION;

EID: 31544469820     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2005.862538     Document Type: Article

References (26)

1. I. Kodama and M. R. Boyett, "Regional differences in the electrical activity of the rabbit sinus node," Pflügers Arch., vol. 404, pp. 214-226, 1985.
2. S. L. Cloherty, N. H. Lovell, B. G. Celler, and S. Dokos, "Inhomogeneity in action potential waveshape assists frequency entrainment of cardiac pacemaker cells," IEEE Trans. Biomed. Eng., vol. 48, pp. 1108-1115, Oct. 2001.
3. L. N. Bouman and H. J. Jongsma, "Structure and function of the sinoatrial node: A review," Eur. Heart J., vol. 7, pp. 94-104, 1986.
4. E. E. Verheijck, A. Wessels, A. C. G. van Ginneken, J. Bourier, M. W. M. Markman, J. L. M. Vermeulen, J. M. T. de Bakker, W. H. Lamers, T. Opthof, and E. N. Bouman, "Distribution of atrial and nodal cells within the rabbit sinoatrial node," Circulation, vol. 97, pp. 1623-1631, 1998.
5. N. H. Lovell, S. L. Cloherty, B. G. Celler, and S. Dokos, "A gradient model of cardiac pacemaker myocytes," Prog. Biophys. Mol. Biol., vol. 85, no. 2-3, pp. 301-323, Jun.-Jul. 2004.
6. S. Dokos and N. H. Lovell, "A curvilinear gradient path method for optimization of biological systems models," in Proc. 5th IFAC Symp. Modeling and Control in Biological Systems, D. D. Feng and E. R. Carson, Eds., Oxford, U.K., 2003, pp. 203-208.
7. Y. E. Earm and D. Noble, "A model of the single atrial cell: Relation between calcium current and calcium release," Proc. R. Soc. Lond. B, vol. 240, pp. 83-96, 1990.
8. D. W. Hilgemann and D. Noble, "Excitation-contraction coupling and extracellular calcium transients in rabbit atrium: Reconstruction of basic cellular mechanisms," Proc. R. Soc. Lond. B, vol. 230, pp. 163-205, 1987.
9. W. K. Bleeker, A. J. C. MacKaay, M. Masson-Pévet, L. N. Bouman, and A. E. Becker, "Functional and morphological organization of the rabbit sinus node," Circ. Res., vol. 46, no. 1, pp. 11-22, Jan. 1980.
10. F. I. M. Bonke, "Passive electrical properties of atrial fibers of the rabbit heart," Pflügers Arch., vol. 339, pp. 1-15, 1973.
11. M. R. Boyett, H. Honjo, and I. Kodama, "The sinoatrial node, A heterogeneous pacemaker structure," Cardiovasc. Res., vol. 47, pp. 658-687, 2000.
12. M. Masson-Pévet, W. K. Bleeker, and D. Gros, "The plasma membrane of leading pacemaker cells in the rabbit sinus node: A qualitative and quantitative ultrastructural analysis," Circ. Res., vol. 45, pp. 621-629, 1979.
13. C. J. H. J. Kirchhof, F. I. M. Bonke, M. A. Allessie, and W. J. E. P. Eammers, "The influence of the atrial myocardium on impulse formation in the rabbit sinus node," Pflügers Arch., vol. 410, pp. 198-203, 1987.
14. S. Cohen and A. Hindmarsh, "CVODE, A stiff/nonstiff ODE solver in C," Comput. Phys., vol. 10, no. 2, pp. 138-143, 1996.
15. I. Kodama, M. R. Boyett, M. R. Nikmaram, M. Yamamoto, H. Honjo, and R. Niwa, "Regional differences in effects of E-4031 within the sinoatrial node," Am. J. Physiol., vol. 276, pp. H793-H802, 1999.
16. R. W. Joyner and F. J. L. van Capelle, "Propagation through electrically coupled cells: How a small SA node drives a large atrium," Biophys. J., vol. 50, pp. 1157-1164, Dec. 1986.
17. R. L. Winslow, D. Cai, A. Varghese, and Y. Lai, "Generation and propagation of normal and abnormal pacemaker activity in network models of cardiac sinus node and atrium," Chaos, Solitons, Fractals, vol. 5, no. 3/4, pp. 491-512, 1995.
18. D. Noble, D. DiFrancesco, and J. Denyer, "Ionic mechanisms in normal and abnormal cardiac pacemaker activity," in Neuronal and Cellular Oscillators, J. W. Jacklet, Ed. New York: Marcel Dekker, 1989, pp. 59-85.
19. H. Zhang, A. V. Holden, I. Kodama, H. Honjo, M. Lei, T. Varghese, and M. R. Boyett, "Mathematical models of action potentials in the periphery and center of the rabbit sinoatrial node," Am. J. Physiol., vol. 279, pp. H397-H421, 2000.
20. A. Garny, P. Kohl, P. J. Hunter, M. R. Boyett, and D. Noble, "One-dimensional rabbit sinoatrial node models: Benefits and limitations," J. Cardiovasc. Electrophysiol., vol. 14, no. s10, pp. S121-S121, 2003.
21. S. Verheule, M. J. A. van Kempen, S. Postma, M. B. Rook, and H. J. Jongsma, "Gap junctions in the rabbit sinoatrial node," Am. J. Physiol., vol. 280, pp. H2103-H2115, 2001.
22. S. Verheule, M. J. A. van Kempen, P. H. J. A. te Welscher, B. R. Kwak, and H. J. Jongsma, "Characterization of gap junction channels in adult rabbit atrial and ventricular myocardium," Circ. Res., vol. 80, no. 5, pp. 673-681, 1997.
23. P. W. Oosthoek, S. Virágh, A. E. M. Mayen, M. J. A. van Kempen, W. H. Lamers, and A. F. M. Moorman, "Immunohistochemical delineation of the conduction system I: The sinoatrial node," Circ. Res., vol. 73, pp. 473-481, 1993.
24. H. Zhang, A. V. Holden, and M. R. Boyett, "Gradient model versus mosaic model of the sinoatrial node," Circulation, vol. 103, pp. 584-588, 2001.
25. M. R. Boyett, H. Honjo, M. Yamamoto, M. R. Nikmaram, R. Niwa, and I. Kodama, "Downward gradient in action potential duration along the conduction path in and around the sinoatrial node," Am. J. Physiol., vol. 276, pp. H686-H698, 1999.
26. D. Noble and R. L. Winslow, "Reconstructing the heart: Network models of SA node-atrial interaction," in Computational Biology of the Heart, A. V. Panfilov and A. V. Holden, Eds. Chichester, U.K.: Wiley , 1997, pp. 49-64.