Roth, Bradley J.; Wikswo, John P. jun. The electrical potential and the magnetic field of an axon in a nerve bundle. (English) Zbl 0567.92005 Math. Biosci. 76, 37-57 (1985). A volume conductor model is used to determine the eletric potential and the magnetic field associated with a propagating action potential in a single axon which lies off center in a sheathed, anisotropic nerve bundle. The results of the model are interpreted in terms of simple eletrical circuits. Cited in 1 ReviewCited in 2 Documents MSC: 92Cxx Physiological, cellular and medical topics 78A70 Biological applications of optics and electromagnetic theory Keywords:volume conductor model; eletric potential; magnetic field; propagating action potential; single axon; nerve bundle; eletrical circuits Citations:Zbl 0567.92004 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Clark, J.; Plonsey, R., A mathematical evaluation of the core conductor model, Biophys. J., 6, 95-112, 1966 [2] Woosley, J.; Roth, B.; Wikswo, J. P., The magnetic field of a single axon: A volume conductor model, Math. Biosci., 76, 1-36, 1985 · Zbl 0567.92004 [3] Patlak, C., Potential and current distribution in nerve: The effect of the nerve sheath, the number of fibers, and the frequency of the alternating current stimul ation, Bull. Math. Biophys., 17, 287-307, 1955 [4] Clark, J.; Plonsey, R., The extracellular potential field of the single active nerve fiber in a volume conductor, Biophys. J., 8, 842-864, 1968 [5] Stegeman, D.; De Weerd, J.; Eijkman, E., A volume conductor study of compound action potentials of nerves in situ: The forward problem, Biol. Cybernet., 33, 97-111, 1979 · Zbl 0399.92005 [6] Plonsey, R., Bioelectric Phenomena, 1969, McGraw-Hill: McGraw-Hill New York [7] B. Roth and J.P. Wikswo, Jr., The magnetic field of a single axon: A comparison between theory and experiment, Biophys J., to appear. [8] Forsythe, G.; Malcolm, M.; Moler, C., Computer Methods for Mathematical Computations, 1977, Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0361.65002 [9] Geddes, L.; Baker, L., The specific resistance of biological material—a compendium of data for the biomedical engineer and physiologist, Med. and Biol. Engrg., 5, 271-293, 1967 [10] Moore, J.; Hines, M.; Harris, E., Compensation for resistance in series with excitable membranes, Biophys. J., 46, 507-514, 1984 [11] Weerasuriya, A.; Spangler, R.; Rapoport, S.; Taylor, R., AC impedance of the perineurium of the frog sciatic nerve, Biophys. J., 46, 167-174, 1984 [12] Wiersma, C., Giant nerve fiber system of the crayfish. A contribution to comparative physiology of synapse, J. Neurophysiol., 10, 23-38, 1947 [13] Gielen, F., Electrical conductivity and histological structure of skeletal muscle This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.