14
Figure 2.2: Gating variable functions for m, h, and n for the standard Hodgkin-Huxley model.
tivated or inactivated the channels. Each of these gating variables takes on values
between O and 1, and thus serve to modulate the conductance of their respective ion
channels. The ODE for a generic gating variable, call it w, has the form
(2.2)
where woo and τw are the voltage-dependent steady-state and time constant functions,
respectively. The standard Hodgkin-Huxley model consists of three gating variables,
m and h for Na+ and n for K+, shown in Figure 2.2.
Now if we write the circuit diagram for this cell as in Figure 2.3, we obtain a
capacitor and a battery in parallel with one constant resistor (Cl~) and two variable
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