Effects of bath resistance on action potentials in the squid giant axon: Myocardial implications

Biophysical Journal

Volumn 73, Issue 5, 1997, Pages 2347-2358

  Wu, Jiashin ^a,b   Wikswo Jr , John P ^a  

^a VANDERBILT UNIVERSITY   (United States)

^b INDIANA UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL CELL; ANISOTROPY; ARTICLE; CELL MEMBRANE RESISTANCE; CONTROLLED STUDY; GIANT AXON; HEART MUSCLE POTENTIAL; MEMBRANE CURRENT; NONHUMAN; SIMULATION; SQUID;

EID: 0030732614     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(97)78265-1     Document Type: Article

References (40)

1. Adelman, Jr., W., and D. L. Gilbert. 1990. Electrophysiology and biophysics of the squid giant axon. In Squid as Experimental Animals. D. L. Gilbert, W. J. Adelman, Jr., and J. M. Arnold, editors. Plenum Press, New York. 117.
2. Andreassen, S., and A. Rosenfalck. 1981. Relationship of intracellular and extracellular action potentials of skeletal muscle fibers. CRC Crit. Rev. Bioeng. 6:267-306.
3. Clark, J., and R. Plonsey. 1966. A mathematical evaluation of the core conductor model. Biophys. J. 6:95-112.
4. Clark, J., and R. Plonsey. 1968. The extracellular potential field of the single active nerve fiber in a volume conductor. Biophys. J. 8:842-864.
5. Eisenberg, R. S., V. Barcilon, and R. T. Mathias. 1979. Electrical properties of spherical syncytia. Biophys. J. 25:151-180.
6. Henriquez, C. S., A. L. Muzikant, and C. K. Smoak. 1996. Anisotropy, fiber curvature, and bath loading effects on activation in thin and thick cardiac tissue preparations: simulations in a three-dimensional bidomain model. J Cardiovasc Electrophysiol. 7:424-444.
7. Henriquez., C. S., and A. A. Papazoglou. 1993. Conduction in a 3D bidomain representation of cardiac tissue with unequal anisotropy ratios. Proc. Annu. Int. Conf. IEEF EMBS. 15:758-759.
8. Henriquez, C. S., and R. Plonsey. 1990. Simulafion of propagation along a cylindrical bundle of cardiac tissue I: mathematical formulation. IEEE Trans. Biomed. Eng. 37:850-860.
9. Henriquez, C. S., N. Trayanova, and R. Plonsey. 1988. Potential and current distributions in a cylindrical bundle of cardiac tissue. Biophys. J. 53:907-918.
10. Hodgkin, A. L. 1954. A note on conduction velocity. J. Physiol. 125:221-224.
11. Hodgkin, A. L., and A. F. Huxley. 1952. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117:500-544.
12. Hodgkin, A. L., and B. Katz. 1949. The effect of sodium ions an the electrical activity of the giant axon of the squid. J. Physiol. (Lond.). 108:37-77.
13. Kelvin, Lord William Thomson. 1855. On the theory of the electric telegraph. Proc. R. Soc. (Lond.). 7:382-390.
14. Kootsey, J. M., and J. Wu. 1991. Models of electrophysiological activation. Imaging, Measurement and Analysis of the Heart. S. Sideman and R. Beyar, editors. Hemisphere Publishing Corporation, New York. 373-381.
15. Leon, L. J., and F. A. Roberge. 1990. A new cable model formulation based on Green's theorem. Ann. Biomed. Eng. 18:1-17.
16. Leon, L. J., and F. A. Roberge. 1991. Structure complexity effects on transverse propagation in a two-dimensional model of myocardium. IEEE Trans. Biomed. Eng. 38:997-1009.
17. Lieberman, M., T. Swanobori. J. M. Kootsey, and E. A. Johnson. 1975. A synthetic strand of cardiac muscle: its passive electrical properties. J. Gen. Physiol. 65:527-550.
18. Plonsey, R. 1974. The active fiber in a volume conductor. IEEE Trans. Biomed. Eng. BME-21:371-381.
19. Plonsey, R., and R. C. Barr. 1988. Bioelectrocity. Plenum Press, New York. 305 pp.
20. Pollard, A. E., N. Hooke, and C. S. Henriquez. 1992. Cardiac propagation simulation. Crit. Rev. Biomed. Eng. 20:171-210.
21. Roth, B. J. 1996. Effects of a perfusing bath on the rate of rise of an action potential propagating through a slab of cardiac tissue. Ann. Biomed. Eng. 24:639-646.
22. Roth, B. J., and J. P. Wikswo, Jr. 1996. The effect of externally applied electrical fields on myocardial tissue. Proc. IEEE. 84:379-391.
23. Rudy, Y., and W. Quan. 1987. A model study of the effects of the discrete cellular structure on electrical propagation in cardiac tissue. Circ. Res. 61:815-823.
24. Shiba, H. 1971. Heaviside's "Bessel cable" as an electric model for flat simple epithelial cells with low resistive junctional membranes. J. Theoret. Biol. 30:59-68.
25. Shiba, H., and Y. Kanno. 1971. Further study of the two-dimensional cable theory: an electric model for flat thin association of cells with a directional intercellular communication. Biophysik. 7:295-301.
26. Spach, M. S. 1983. The discontinuous nature of electrical propagation in cardiac muscle. Ann. Biomed. Eng. 11:209-261.
27. foot and the propagation safety factor. Circ. Res. 60:206-219.
28. Spach, M. S., and J.F. Heidlage. 1995. The stochastic nature of cardiac propagation at a microscopic level. Electrical description of myocardial architecture and its application to conduction. Circ. Res. 76:366-380.
29. max reflects both membrane properties and the load presented by adjoining cells. Am. J. Physiol. 263: H1855-H1863.
30. Spach, M. S., W. T. Miller, D. B. Geselowitz, R. C. Barr, J. M. Kootsey, and E. A. Johnson. 1981. The discontinuous nature of propagation in normal canine cardiac muscle. Evidence for recurrent discontinuities of intracellular resistance that affect the membrane currents. Circ. Res. 48:39-54.
31. Spach, M. S., W. T. Miller, E. Miller-Jones, R. B. Warren, and R. C. Barr. 1979. Extracellular potentials related to intrucellular APs during impulse conduction in anisotropic canine cardiac muscle. Circ. Res. 45:188-204.
32. Suenson, M. 1985. Interaction between ventricular cells during the early part of excitation in the ferret heart. Acta Physiol. Scand. 125:81-90.
33. Trayanova, N., and C. S. Henriquez. 1991. Modification of a cylindrical bidomain model for cardiac muscle. Mathematical Biosciences. 104: 59-72.
34. Trayanova, N., C. S. Henriquez, and R. Plonsey. 1990a. Extracellular potential and currents of a single active fiber in a restricted volume conductor. Ann. Biomed. Eng. 18:219-238.
35. Trayanova, N., C. S. Henriquez, and R. Plonsey. 1990b. Limitations of approximate solutions for computing the extracellular potential of single fibers and bundle equivalents. IEEE Trans. Biomed. Eng. 37:22-35.
36. Tung, L. 1979. Three-dimensional cable theory: a bi-domain model. Biophys. J. 25:214a (Abstr.).
37. van Egeraat, J. M., and J. P. Wikswo, Jr. 1993. A model for axonal propagation incorporating both radial and axial ionic transport. Biophys. J. 64:1287-1298.
38. Wikswo, J. P., Jr., and J. M. van Egeraat. 1991. Cellular magnetic fields: fundamental and applied measurements on nerve axons, peripheral nerve bundles, and skeletal muscle. J. Clin. Neurophysiol. 8:170-188.
39. Wikswo, J. P., Jr., P. C. Samson, and R. P. Giffard. 1983. A low-noise low input impedance amplifier for magnetic measurements of nerve action currents. IEEE Trans. Biomed. Eng. 30:215-221.
40. Wu, J., E. A. Johnson, and J. M. Kootsey. 1996. A quasi-one-dimensional theory for anisotropic propagation of excitation in cardiac muscle. Biophys. J. 71:2427-2439.