# Cable Theory

(redirected from Cable equation)
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Cable Theory

a theory used to describe the conduction of bioelectric potentials along a cylindrical cell. Cable theory proceeds from the idea that a nerve, muscle, or other cell may be represented as a section of a cable that is placed in a conducting medium and has a cell membrane that acts as an insulator. The cable model of the cylindrical cell and the theory of computation of the ratio of the magnitudes of current and voltage based on that model make possible experimental determination of the electrical parameters of the cell membrane and evaluation of the conditions of propagation of subliminal electric impulses.

### REFERENCES

Katz, B. Nerv, myshtsa i sinaps. Moscow, 1968. (Translated from English.)
Khodorov, B. I. Problema vozbudimosti. Leningrad, 1969.
The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
proposed accurate spectral collocation methods for VO-F differential equations such as Schrodinger equation [6], Galilei invariant advection diffusion equations [1], diffusion equation [24] and cable equation [5].
Numerical simulation for two-dimensional variable order fractional nonlinear cable equation. Nonlinear Dynamics, 80(1):101-116, 2015.
[24, 25] paid their attention to Bernstein Polynomials to solve variable order linear cable equation and variable order time fractional diffusion equation.
In addition, the proposed method can be applied by developing for the other related fractional problem, such as variable fractional order integrodifferential equation, variable order time fractional diffusion equation, and variable fractional order linear cable equation. This is one possible area of our future work.
Zhang, "Implicit compact difference schemes for the fractional cable equation," Applied Mathematical Modelling, vol.
Medical applications described include microarray gene subset selection in amyotrophic lateral sclerosis classification, and the use of the cable equation by Morris-Lecar to simulate the cardiac cycle in diagnosis of cardiac arrhythmia.
Cable equation for a myelinated axon derived from its microstructure.
A sampling of contents: optimal signal processing for brain-machine interfaces, functional characterization of adaptive visual encoding, restoration of movement by implantable neural motor prostheses, advances in retinal neuroprosthetics, muscle synergies for motor control, cable equation model for myelinated nerve fiber, and nonlinear approaches to learning and memory.
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Nonlinear Dyn., 80(1):101-116, 2015.
As with the equations for parallel wires, the coaxial cable equations clearly show the same inverse relationship: reducing inductance by lowering the b/a ratio increases capacitance.
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