Analysis of Magnetic Stimulation of a Concentric Axon in a Nerve Bundle

IEEE Transactions on Biomedical Engineering

Volumn 42, Issue 9, 1995, Pages 926-933

  Nagarajan, Srikantan S ^a   Durand, Dominique M ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELECTRIC FIELD; MAGNETIC FIELD; MATHEMATICAL MODEL; MEMBRANE DEPOLARIZATION; MEMBRANE ELECTROPHYSIOLOGY; MEMBRANE POTENTIAL; NERVE FIBER MEMBRANE; NERVE STIMULATION; PERINEURIUM;

ANIMAL; ANISOTROPY; AXONS; COMPARATIVE STUDY; ELECTROMAGNETIC FIELDS; HUMAN; MAGNETICS; MATHEMATICS; MEMBRANE POTENTIALS; MODELS, NEUROLOGICAL; NERVE FIBERS; PERIPHERAL NERVES; SUPPORT, U.S. GOV'T, NON-P.H.S.; SUPPORT, U.S. GOV'T, P.H.S.;

EID: 0029145356     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/10.412659     Document Type: Article

References (28)

1. K. W. Altaian and R. Plonsey, “Development of a model for point source electrical fiber bundle stimulation” Med. Biol. Eng. Comput., vol. 26, pp. 466–475, 1988.
2. K. W. Altaian and R. Plonsey, “Point source nerve bundle stimulation: Effects of fiber diameter and depth on simulated excitation” IEEE Trans. Biomed. Eng-, vol. 37, pp. 688–698, 1990.
3. P. J. Basser and B. J. Roth, “Stimulation of a myelinated nerve axon by electromagnetic induction” Med. Biol. Eng. Comput., vol. 29, pp. 261–268, 1991.
4. P. J. Basser, R. S. Wijesinghe, and B. J. Roth, “The activating function for magnetic stimulation derived from a three-dimensional volume conductor model” IEEE Trans. Biomed. Eng., vol. 39, pp. 1207–1210, 1992.
5. O. E. Brigham, The Fast Fourier Transform. Englewood Cliffs, NJ: Prentice-Hall, 1970.
6. J. W. Clark, E. C. Greco, and T. L. Harman, “Experience with a Fourier method for determining the extracellular potential fields of excitable cells with cylindrical geometry” CRC Rev. Bioeng., pp. 1–22, 1978.
7. K. Davey, L. Luo, and D. A. Ross, “Toward functional magnetic stimulation (FMS) theory and experiment” IEEE Trans. Biomed. Eng., vol. 41, no. 11, pp. 1024–1031, 1994.
8. D. Durand, A. S. F. Ferguson, and T. Dalbasti, “Effects of surface boundary on neuronal magnetic stimulation” IEEE Trans. Biomed. Eng., vol. 37, pp. 588–597, 1990.
9. A. S. Ferguson, D. Durand, and T. Dalbasti, “Optimization of coil design for neuronal excitation by magnetic stimulation” in Proc. 11th Annu. Int. Conf. IEEE-EMBS, Paris, pp. 1254–1255, 1989.
10. N. Ganapathy, J. W. Clark, and O. W. Wilson, “Extracellular potentials from skeletal muscle” Math. Biosci., vol. 83, pp. 61–96, 1987.
11. F. L. H. Gielen, H. E. P. Cruts, B. A. Albers, K. L. Boon, W. Wallinga-de-Jonge, and H. B. K. Boom, “Model of electrical conductivity of skeletal muscle based on tissue structure.” Med. Biol. Eng. Comput., vol. 24, pp. 34–40, 1986.
12. J. D. Jackson, Classical Electromagnetism, 2nd ed. New York: Wiley, 1975.
13. P. J. Maccabee, V. E. Amassian, L. Eberle, A. Rudell, R. Q. Cracco, K. S. Lai, and M. Somasundaram, “Measurement of the electric field induced into inhomogeneous volume conductors by magnetic coils: Applications to human spinal geometry” Eleclroenceph. Clin. Neurophysiol, vol. 81, pp. 224–237, 1991.
14. P. J. Maccabee, V. E. Amassian, L. Eberle, A. P. Rudell, and R. Q. Cracco, “The magnetic coil activates amphibian and primate nerve in vitro at two sites and selectively at a bend” J. Physiol. (Land.), vol. 446, p. 208P, 1992.
15. P. J. Maccabee, V. E. Amassian, L. P. Eberle, and R. Q. Cracco, “Magnetic coil stimulation of straight and bent amphibian and mammalian peripheral nerve in vitro: Locus of excitation” J. Physiol. (Land.), vol. 460, pp. 201–219, 1993.
16. P. J. Maccabee, L. Eberle, V. E. Amassian, R. Q. Cracco, A. Rudell, and M. Jayachandra, “Spatial distribution of the electric field induced in volume by round and figure ‘8’ magnetic coils: Relevance to activation of sensory nerve fibers” Electroenceph. Clin. Neurophysiol, vol. 76, pp. 131–141, 1990.
17. S. S. Nagarajan and D. Durand, “Determination of excitation sites during magnetic stimulation of nerve fibers” in Proc. 14th Annu. Int. Conf. IEEE-EMBS, Paris, pp. 1426–1427, 1992.
18. S. S. Nagarajan, D. Durand, and E. N. Warman, “Effects of induced electric fields on finite neuronal structures: A simulation study” IEEE Trans. Biomed. Eng., vol. 40, pp. 1175–1188, 1993.
19. S. S. Nagarajan and D. M. Durand. “Analysis of magnetic stimulation of a concentric axon in a nerve bundle” in Proc. 15th Int. IEEE EMBS Conf., San Diego, vol. III, pp. 1429–1430, 1993.
20. J. Nilsson, M. Panizza, B. J. Roth, P. J. Basser, L. G. Cohen, G. Caruso, and M. Hallett, “Determining the site of stimulation during magnetic stimulation of a peripheral nerve” Electroenceph. Clin. Neurophysiol, vol. 85, no. 4, pp. 253–264, 1992.
21. B. J. Roth and K. W. Altman, “Steady-state point-source stimulation of a nerve containing axons with an arbitrary distribution of diameters” Med. Biol. Eng. Comput., vol. 30, pp. 103–108, 1992.
22. B. J. Roth and P. J. Basser, “A model for stimulation of a nerve fiber by electromagnetic induction” IEEE Trans. Biomed. Eng., vol. 37, pp. 588–597, 1990.
23. B. J. Roth, L. G. Cohen, and M. Hallett, “The electric field induced during magnetic stimulation” Electroenceph. Clin. Neurophysiol. (Suppl.), vol. 43, pp. 268–278, 1991.
24. B. J. Roth, L. G. Cohen, M. Hallett, W. Friauf, and P. J. Basser, “A theoretical calculation of the electric field induced by magnetic stimulation of a peripheral nerve” Muscle Nerve, vol. 13, pp. 734–741, 1990.
25. B. J. Roth and F. L. H. Gielen, “A comparison of two models for calculating the electric potential in skeletal muscle” Ann. Biomed. Eng., vol. 15, pp. 591–602, 1987.
26. B. J. Roth, F. L. H. Gielen, and J. P. J. Wikswo, “Spatial and temporal frequency-dependent conductivities in volume-conduction calculations for skeletal muscle” Math. Biosci., vol. 88, pp. 159–189, 1988.
27. B. J. Roth, P. J. Maccabee, L. P. Eberle, V. E. Amassian, M. Hallett, J. Cadwell, G. D. Anselmi, and G. T. Tatarian, “In vitro evaluation of a 4-leaf coil design for magnetic stimulation of peripheral nerve” Electroenceph. Clin. Neurophysiol., vol. 93, pp. 68–74, 1994.
28. B. J. Roth, J. M. Saypol, M. Hallett, and L. G. Cohen, “A theoretical calculation of the electric field induced in the cortex during magnetic stimulation” Electroenceph. Clin. Neurophysiol., vol. 81, pp. 47–56, 1991.