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The final stage of constructing a complex realistic model involves tuning model parameters to replicate well-described properties of the neuron in question [1]. Once the model is tuned, additional questions can be explored by holding model parameters fixed and applying different types of inputs (see [2]).
Here we describe the results of optimizing the Purkinje cell model to replicate the characteristic firing patterns of Purkinje cells in slices during current injection in the soma or dendrites. This optimization, or tuning, primarily involved changing the densities and distributions of the different voltage sensitive channels and the decay time constant of the Ca2+ concentrations until the model generated biologically realistic output. Due primarily to the work of [4, 3], considerable information is available concerning the intracellular response properties of cerebellar Purkinje cells to current injection in vitro in the slice preparation in the presence and absence of different channel blockers. Accordingly, all the following statements about normal Purkinje cell behavior refer to their work unless a different study is cited.
[1] US Bhalla and JM Bower. Exploring parameter space in detailed single neuron models: Simulations of the mitral and granule cells of the olfactory bulb. Journal of Neurophysiology, 6:1948–1965, 1993.
[2] E De Schutter and J M Bower. An active membrane model of the cerebellar Purkinje cell II. Simulation of synaptic responses. Journal of Neurophysiology, 71:401–419, 1994.
[3] RR Llinás and M Sugimori. Electrophysiological properties of in vitro Purkinje cell dendrites in mammalian cerebellar slices. Journal of Physiology (Lond.), 305:197–213, 1980.
[4] 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.