Nerve conduction theory: Some mathematical consequences of Bernstein's model |
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Authors: | Franklin Offner Alvin Weinberg Gale Young |
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Institution: | (1) The University of Chicago, Chicago, Illinois;(2) Offner Electronics Laboratories, Chicago, Illinois |
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Abstract: | The generally accepted permeability theory of nerve conduction is presented in mathematical form. The resulting velocity formula
is found to agree well with data on squid giant axon, but predicts velocities considerably too high in the case ofNitella. The dependence of velocity on fiber diameter is discussed for both medullated and non-medullated nerve, it being shown theoretically
that velocity is proportional to the square root of diameter for non-medullated and to the diameter for medullated nerve.
The equations relating the shape of the action spike to the observed permeability changes are given but are not solved. |
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