H0

FIGURE 1.4-8 Simulation of current-to-frequency conversion in the HH model. HH model run with Euler integration; 8t = 0.00001, Cm = 0.003. Horizontal axis, time in milliseconds. Jin = -7 |A/cm2.

fires repetitively at a constant frequency; the frequency increases as Jin becomes more negative. Figures 1.4-8 through 1.4-10 illustrate this behavior. Note particularly that the peak-to-peak height of the periodic spikes decreases as the frequency increases. At Jin = -140 |A, the membrane oscillation was centered around -50 mV, and was nearly sinusoidal, having a peak-to-peak amplitude of about 12.5 mV. Hardly nerve spikes. The steady-state frequency of the HH model "oscillator" vs. Jin is plotted in Figure 1.4-11 on log-log coordinates. An approximate model that fits the plot is f = 57 + 6 | Jin|064 pps. Thus, the HH model is not a linear current-to-voltage converter, but behaves in a power law manner over the range, -7 S Jin S -140 |A.

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