Reinoud Maex and Volker Steuber An integrator circuit in cerebellar cortex European Journal of Neuroscience 38
A computational model of cerebellar cortex predicts that Purkinje cells can, at simple-spike rates < 40 per s, generate tonic responses lasting seconds to tens of seconds. These tonic responses are maintained by the amplification of subthreshold EPSPs by a somatic window sodium current. The resulting graded persistent activity endows Purkinje cells with the functionality of a neural integrator, whose time-constant can be further enhanced by reciprocal coupling through recurrent axon collaterals.
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