Nerve

The Hodgkin-Huxley equations describe the genesis of an action potential. Membrane potential is a function of the charge separation across the membrane and membrane capacitance. Charge separation is the integral over time of current flowing through the membrane. Current is the sum of sodium, potassium and leakage (other ions) ion currents. Each of these currents is a function of membrane potential and ion conductances. The conductances are voltage sensitive.

The independent variable is time in milliseconds. The figure above shows the response of the nerve to stimulator firings at 4 and 8 mS. The first discharge stimulates an action potential while the second discharge finds a refactory nerve.

Membrane charge is the integral over time of membrane current. Membrane potential is a function of membrane charge and membrane capacitance.

Reference

Hodgkin, A.L. and A.F. Huxley. A quantitative description of membrane current and its application to conduction. J. Physiol. 117:500-544, 1952.

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updated 03-02-05