Cable theory

Classical cable theory uses mathematical models to calculate the electric current (and accompanying voltage) along passiveneurites, particularly the dendrites that receive synaptic inputs at different sites and times. Estimates are made by modeling dendrites and axons as cylinders composed of segments with capacitances ${\displaystyle c_{m}}$ and resistances ${\displaystyle r_{m}}$ combined in parallel (see Fig. 1). The capacitance of a neuronal fiber comes about because electrostatic forces are acting through the very thin lipid bilayer (see Figure 2). The resistance in series along the fiber ${\displaystyle r_{l}}$ is due to the axoplasm's significant resistance to movement of electric charge.

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