Abstract
To develop an intuitive understanding of a challenging area, it is sometimes useful to bracket the problem, on one hand looking fully at the intricacies and on the other taking the simplest possible perspective. Having considered a rather complete description of a squid axon in Chapter 4, we now turn our attention to simpler models of a nerve fiber that focus attention on the leading edge of an impulse.
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References
KS Cole, Membranes, Ions and Impulses, University of California Press, Berkeley, 1968.
KS Cole and HJ Curtis, Electrical impedance of a squid giant axon during activity, J. Gen. Physiol 22 (1939) 649–670.
JW Cooley and FA Dodge, Digital computer solutions for excitation and propagation of the nerve impulse, Biophys. J. 6 (1966) 583–599.
AV Gurevich, RG Mints, and AA Pukhov, Motion of a kink in a bistable medium with hysteresis, Physica D 35 (1989) 382–394.
AF Huxley, Can a nerve propagate a subthreshold disturbance? J, Physiol (London) 148 (1959) 80P–81P.
BI Khodorov, The Problem of Excitability, Plenum Press, New York, 1974.
H Kunov, Nonlinear Transmission Lines Simulating Nerve Axon, PhD Thesis, Electronics Laboratory, Technical University of Denmark, 1966.
R Luther, Räumliche Fortpflanzung chemischer Reaktionen. Z, Elektrochem. 12(32) (1906) 596–600.
R Luther, (English translation in J. Chem, Ed. 64 (1987) 740–742.)
OA Mornev and AC Scott, unpublished calculations.
D Noble and RB Stein, The threshold conditions for initiation of action potentials by excitable cells, J, Physiol (London) 187 (1966) 129–142.
F Offner, A Weinberg, and C Young, Nerve conduction theory: Some mathematical consequences of Bernstein’s model, Bull Math. Biophys. 2 (1940) 89–103.
VF Pastushenko, YA Chizmadzhev, and VS Markin, Speed of excitation in the reduced Hodgkin-Huxley model: I. Rapid relaxation of sodium current, Biophysics 20 (1975) 685–692.
VF Pastushenko, YA Chizmadzhev, and VS Markin, Speed of excitation in the reduced Hodgkin-Huxley model: I I. Slow relaxation of sodium current, Biophysics 20 (1975) 894–901.
AC Scott, Analysis of nonlinear distributed systems, Trans. IRE CT-9 (1962) 192–195.
AC Scott, Neuristor propagation on a tunnel diode loaded transmission line. Proc. IEEE 51 (1963) 240.
AC Scott. Strength duration curves for threshold excitation of nerves, Math. Biosci. 18 (1973) 137–152.
AC Scott, The electrophysics of a nerve fiber, Rev. Mod. Phys. 11 (1975) 487–533.
AC Scott; Nonlinear Science: Emergence and Dynamics of Coherent Structures, Oxford University Press, Oxford; 1999.
YL Vorontsov, MI Kozhevonikova, and IV Polyakov, Wave processes in active RC-lines, Radio Eng. Electron. Phys. (USSR) 11 (1967) 1449–1456.
YB Zeldovich and GI Barenblatt, Theory of flame propagation. Combust. and Flame 3 (1959) 61–74.
YB Zeldovich and DA Frank-Kamenetsky, K teorii ravnomernogo rasprostranenia plameni, Dokl. Akad. Nauk SSSR 19 (1938) 693–697.
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(2002). Leading-Edge Models. In: Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22463-3_5
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DOI: https://doi.org/10.1007/978-0-387-22463-3_5
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