Figure 9 Threshold of the Hodgkin-Huxley model can be explained by examining the stability of "fixed points.'' (a, b) Spiking behavior in the Hodgkin-Huxley model is very sensitive to V0, the initial value of voltage. Resting potential (—65 mV) is depicted by the dotted lines. (c) V (0.5), the time derivative of membrane potential at t = 0.5 msec, plotted vs V0. Also plotted are the contributions of GNa (dashed line), as well as GK and GL (dotted line), to V (0.5).The contribution of GL is minimal because this conductance is very small. (d) A magnified plot of V (0.5) vs V0. Two fixed points [points where V(0.5) = 0] are shown. As indicated by the arrows, the sign of V(0.5) makes the solution flow toward the open circle at (—65, 0), indicating stability; the solution flows away from the open triangle at (—59, 0), indicating instability. For V0> —59mV, an action potential will be generated.

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