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. 2013 Sep 4;110(12):2830–2848. doi: 10.1152/jn.00195.2013

Table 1.

Stochastic integrate-and–fire model

Input
Output
Spike Discharge
Series qsize, mV qrate, 1/s AHP mag, mV AHP tau, ms σV, mV V/dt, mV/ms CV* Predicted CV* Galvanic sensitivity, spikes·s−1/mV
1a/reg 0.075 6,000 −6.92 17.5 0.366 0.0526 0.125 0.136 8.26
1b/int 0.2 2,250 −5.00 10.0 0.397 0.0104 0.376 0.767 25.4
1c/irr 0.8 255 −2.73 3.0 0.476 0.00413 0.848 2.305 53.4
2a/reg 0.2 3,450 −6.92 17.5 0.496 0.0457 0.168 0.229 9.39
2b/int 0.2 2,250 −5.00 10.0 0.397 0.0104 0.376 0.483 25.4
2c/irr 0.2 1,940 −2.73 3.0 0.362 0.000856 0.811 8.458 60.4
3a/int 0.075 7,300 −5.00 10.0 0.303 0.00978 0.309 0.620 28.1
3b/int 0.2 2,250 −5.00 10.0 0.397 0.0104 0.376 0.767 25.4
3c/int 0.8 340 −5.00 10.0 0.551 0.00717 0.458 1.537 21.1

Simulation parameters, an integrate-and-fire model for a regular (a/reg), an intermediate (b/int), and an irregular model unit (c/irr). AHP mag, peak afterhyperpolarization (AHP); AHP tau, AHP time constant. Input variables (qsize, qrate, AHP mag, and AHP tau) are set in each simulation to parallel empirical findings (cf. Figs. 9–11) and result in 2 output variables, voltage SD (σV) and slope of mean voltage trajectory (dμV/dt), both evaluated at the mean interspike interval (50 ms). Spike discharge is characterized by a coefficient of variation (CV)*, the value of CV* predicted from Eq. 11, and the galvanic sensitivity measured as a ratio, spikes·s−1/mV, obtained from regressions between increase in discharge rate and imposed voltage. Series 1 varies both AHPs and qsize so that the 3 units match empirical units differing in discharge regularity. Series 2 varies AHPs but not qsize. Series 3 varies qsize but not AHPs. When qsize or AHP are not varied, they are set to values for the intermediate unit. As a result, series 1b, 2b, and 3b are identical.