Abstract
By treating a nonmyelinated nerve fiber as a continuous cable consisting of three distinct zones (Resting, transitional, and excited), the following mathematical expression was derived: (formula: see text) where v is the conduction velocity, d the diameter of the fiber, R the resistance of the membrane of unit area at the peak of excitation, rho the resistivity of the medium inside the fiber, and C the capacity of membrane per unit area. The validity of this expression was demonstrated by using squid giant nerve fibers intracellularly perfused with dilute salt solutions. The relationship between these results and previous theories and experiments on conduction velocity is discussed.
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Selected References
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- Goldman L., Albus J. S. Computation of impulse conduction in myelinated fibers; theoretical basis of the velocity-diameter relation. Biophys J. 1968 May;8(5):596–607. doi: 10.1016/S0006-3495(68)86510-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
- HODGKIN A. L., HUXLEY A. F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol. 1952 Aug;117(4):500–544. doi: 10.1113/jphysiol.1952.sp004764. [DOI] [PMC free article] [PubMed] [Google Scholar]
- HODLER J., STAMPFLI R., TASAKI I. Role of potential wave spreading along myelinated nerve fiber in exictation and conduction. Am J Physiol. 1952 Aug;170(2):375–389. doi: 10.1152/ajplegacy.1952.170.2.375. [DOI] [PubMed] [Google Scholar]
- Inoue I., Tasaki I., Kobatake Y. A study of the effects of externally applied sodium-ions and detection of spatial non-uniformity of the squid axon membrane under internal perfusion. Biophys Chem. 1974 Aug;2(2):116–126. doi: 10.1016/0301-4622(74)80031-1. [DOI] [PubMed] [Google Scholar]
- RUSHTON W. A. H. A theory of the effects of fibre size in medullated nerve. J Physiol. 1951 Sep;115(1):101–122. doi: 10.1113/jphysiol.1951.sp004655. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Takashima S. Membrane capacity of squid giant axon during hyper- and depolarizations. J Membr Biol. 1976 Jun 9;27(1-2):21–39. doi: 10.1007/BF01869127. [DOI] [PubMed] [Google Scholar]