Effect of a perfusing bath on the rate of rise of an action potential propagating through a slab of cardiac tissue

Annals of Biomedical Engineering

Volumn 24, Issue 6, 1996, Pages 639-646

  Roth, Bradley J ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

Anisotropy; Bidomain; Cardiac

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; CARDIOVASCULAR SYSTEM; ELECTRIC CONDUCTIVITY OF SOLIDS; MATHEMATICAL MODELS; TISSUE;

ACTION POTENTIAL PROPAGATION; BIDOMAIN EQUATIONS; EXTRACELLULAR POTENTIAL; INTRACELLULAR POTENTIAL DISTRIBUTION; PERFUSING BATH; TRANSMEMBRANE ACTION POTENTIAL;

BIOELECTRIC POTENTIALS;

ANISOTROPY; ARTICLE; HEART CONDUCTION; HEART MUSCLE POTENTIAL; MATHEMATICAL MODEL; MEMBRANE POTENTIAL;

EID: 0030297495     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02684177     Document Type: Article

References (24)

1. Clerc, L, Directional differences of impulse spread in trabecular muscle from mammalian heart. J. Physiol. (Lond.) 255:335-346, 1976.
2. Henriquez, C. S. The effect of the anisotropy ratio on directional differences in conduction behavior in a planar slab model of cardiac tissue. Ann. Biomed, Eng. 19:621-622, 1991.
3. Henriquez, C.S. Simulating the elctrical behavior of cardiac tissue using the bidomain model. Crit. Rev. Biomed. Eng. 21:1-77, 1993.
4. Henriquez, C. S., and A. A. Papazoglou. Conduction in a 3D bidomain representation of cardiac tissue with unequal anisotropy. Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 15:748-749, 1993.
5. Henriquez, C. S., and R. Plonsey. Simulation of propagation along a cylindrical bundle of cardiac tissue. I. Mathematical formulation. IEEE Trans. Biomed. Eng. 37:850-860, 1990.
6. Henriquez, C. S., and R. Plonsey Simulation of propagation along a cylindrical bundle of cardiac tissue. II. Results of simulation. IEEE Trans. Biomed. Eng. 37:861-875, 1990.
7. Henriquez, C. S., N. Trayanova, and R. Plonsey. Potential and current distributions in a cylindrical bundle of cardiac tissue. Biophys. J. 53:907-918, 1988.
8. Henriquez, C. S., N. Trayanova, and R. Plonsey. A planar slab bidomain model for cardiac tissue. Ann. Biomed. Eng. 18:367-376, 1990.
9. Kleber, A. G., and C. B. Riegger. Electrical constants of arterially perfused rabbit papillary muscle. J. Physiol. (Lond.) 385:307-324, 1987.
10. Krassowska, W., and J., C. Neu. Effective boundary conditions for syncytial tissues IEEE Trans Biomed. Eng. 41:143-150, 1994.
11. Plonsey, R., and R. C. Barr. Interstitial potentials and their change with depth into cardiac tissue. Biophys. J. 51:547-555, 1987
12. Plonsey, R., C. Henriquez, and N. Trayanova. Extracellular (volume conductor) effect on adjoining cardiac muscle electrophysiology. Med. Biol. Eng. Comput. 26:126-129, 1988.
13. Roberts, D. E., L. T. Hersh, and A. M. Scher. Influence of cardiac fiber orientation on wavefront voltage, conduction velocity, and tissue resistivity in the dog. Circ. Res. 44:701-712, 1979.
14. Roberts, D. E., and A. M. Scher. Effect of tissue anisotropy on extracellular potential fields in canine myocardium in situ. Circ. Res. 50:342-351, 1982.
15. Roth, B. J. Longitudinal Resistance in Strands of Cardiac Muscle. Nashville: Vanderbilt University, Ph.D. Thesis, 1987, pp. 263-270.
16. Roth, B. J. The electrical potential produced by a strand of cardiac muscle: A bidomain analysis. Ann. Biomed. Eng. 16:609-637, 1988.
17. Roth, B. J. A comparison of two boundary conditions used with the bidomain model of cardiac tissue. Ann. Biomed. Eng. 19:669-678, 1991.
18. Roth, B. J. Action potential propagation in a thick strand of cardiac muscle. Circ. Res. 68:162-173, 1991.
19. Roth, B. J., and J. P. Wikswo, Jr. A bidomain model for the extracellular potential and magnetic field of cardiac tissue. IEEE Trans. Biomed. Eng. 33:467-469, 1985.
20. Roth, B. J., W.-Q. Guo, and J. P. Wikswo, Jr. The effects of spiral anisotropy on the electrical potential and the magnetic field at the apex of the heart. Math. Biosci. 88:191-221, 1988.
21. Spach, M. S. The discontinuous nature of electrical propagation in cardiac muscle. Ann. Biomed. Eng. 11:209-261, 1983.
22. Spach, M. S., W. T. Miller, III, D. B. Geselowitz, R. C. Barr, J. M. Kootsey, and E. A. Johnson. The discontinuous nature of propagation in normal canine cardiac muscle. Circ. Res. 48:39-54, 1981.
23. Wikswo, J. P., Jr. Tissue anisotropy, the cardiac bidomain, and the virtual cathode effect. In: Cardiac Electrophysiology, From Cell to Bedside (second edition), edited by D. P. Zipes and J. Jalife. Philadelphia: Saunders, 1994, pp. 348-361.
24. Wu, J. The Anatomical Basis of Anisotropic Propagation in Cardiac Muscle. Durham, NC: Duke Unviersity, Ph.D. Thesis, 1993.