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1_15_09_HodgkinHuxley

# 1_15_09_HodgkinHuxley - This circuits function depend on...

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This circuit’s function depend on nonlinear synaptic mechanisms.

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Today, we will focus on models for action potentials.
Equivalent-circuit models for action potentials are RC circuits with many conductances.

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c m dV dt = ! i m + I e A If A is the membrane surface area, c m is the capacitance per unit area, and i m is the sum of all membrane currents per unit area, then i m = g L V ! E L ( ) + g K n 4 V ! E K ( ) + g Na m 3 h V ! E Na ( ) Disregarding synapses (g s ), and making n , m , and h the probabilities of opening of activation and inactivation of voltage-dependent gates, the Hodgkin-Huxley model is
One can conceptualize these gates in molecular terms. A. K + channel B. Na + channel

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Individual channels are all-or-none and have random opening times.
c m dV dt = ! i m + I e A If A is the membrane surface area, c m is the capacitance per unit area, and i m is the sum of all membrane currents per unit area, then i m = g L V ! E L ( ) + g K n 4 V ! E K ( ) + g Na m 3 h V ! E Na ( ) Disregarding synapses (g s ), and making n , m , and h

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