The propagation of transient potentials in some linear cable structures

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Abstract
1. Analytical solutions have been given for the time course of voltage transients occurring in one-dimensional cable structures, with linear uniform membrane properties.2. These solutions show how the time course of the voltage transients generated at different distances are affected by variations in the time course of current injection (at one point on the cable) and by alterations in the length of the cable, with either sealed or open end terminations. These effects are illustrated with computed results.3. Simple measurements from the time course of a membrane potential displacement, occurring in a one-dimensional cable structure following a brief current injection across the membrane, are used to evaluate the parameters which describe the cable model. These parameters are the membrane time constant, the electrotonic length of the cable, the cable end termination, and in the case of a post-synaptic potential, the distance between the electrode and the active synapse.