PC firing rates (F) as a function of GC inputs were fitted with the following Hill function as previously [31]:

where n is the exponent factor, F0 the firing rate offset, and Fmax the maximum firing rate. GC50 is the value of GC at which F reaches half maximum. To investigate changes in the input-output relationship of PC firing caused by MLI and/or STP, the change of PC response was quantified by ΔGain calculated as follows [31]:

where F′ is the average slope of the fits between 5% and 75% its maximum value. +x and -x denote different conditions of with/without STP and/or MLI, e.g. ±STP or ±MLI. A shift along the input axis corresponds to an additive operation, while a change in slope corresponds to a multiplicative operation, or gain change. Offset shifts (ΔOffset) were defined as the difference between the half-maximum values of the fits in the conditions +x and -x.

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