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initially used the same parameters as previously published by [4]. Accordingly,
membrane capacitance was set at 1.64 pF/cm^{2}, membrane resistance (R_{m}) was
0.44 kΩ⋅cm^{2} in the soma and 110 kΩ⋅cm^{2} in the dendrites, and axial resistance was
given a value of 250 kΩ⋅cm. With these parameters we obtained a τ_{)} of 46 ms and
an R_{m} of 12.6 MΩ, which is almost identical to the values of 46 ms and 12.9 MΩ
reported by [4]. However, initial simulations with active membrane showed that it
was not possible to reproduce the characteristic firing pattern of Purkinje cells
with these membrane parameters. In particular, the low R_{m} value in the soma
caused a huge current sink, so that the model could not fire somatic Na^{+} spikes.
For this reason the model presented here had an R_{m} of 10 kΩ⋅cm^{2} in the soma
and 30 kΩ⋅cm^{2} in the rest of the cell, which are comparable with values
for R_{m} in other neuron models [2]. This model had an R_{m}of 19.6 MΩ
under conditions of simulated external Cs^{+} block (i.e., Kdr, KM, and Kh
channels blocked; [1]) which is a realistic R_{m} value for Purkinje cells in
slice [3].

[1] B Hille. Ionic Channels of Excitable Membranes. Sunderland MA: Sinauer, 1991.

[2] WR Holmes and W Rall. Electrotonic models of neuronal dendrites and single neuron computation. In T McKenna, J Davis, and S Zornetzer, editors, Single Neuron Computation, pages 7–25. NY: Academic, 1992.

[3] RR Llinás and M Sugimori. Electrophysiological properties of in vitro Purkinje cell somata in mammalian cerebellar slices. Journal of Physiology (Lond.), 305:171–195, 1980.

[4] M Rapp, Y Yarom, and I Segev. The impact of parallel fiber background activity on the cable properties of cerebellar Purkinje cells. Neural Computation, 4:518–533, 1992.