A multi-layer mean-field model of the cerebellum embedding microstructure and population-specific dynamics
Fig 5
Cerebellar mean-field overall input/output relationship.
A) The average response of output PC population to different levels of the driving input (υdrive) was computed, using steps at different rates in the range [0, 100] Hz as input on mossy fiber. The shaded areas show the standard deviation of PC activity computed when the υdrive is active. As expected from the used MF formalism, the cerebellar MF works only for low input rates and specifically the critical point above which the system is not in a physiological regime anymore is at 70 Hz [48]. B) Within the MF validity regime, cerebellar MF I/O relationship resulted always linear, but we can identify 3 different sub-regimes depending on the input range: low firing rate in [0,12] Hz, intermediate firing in [13,35] Hz, high firing in [36,70] Hz. Each sub-regime is characterized by a different gain quantified in terms of fitting parameters obtained from a simple linear fitting procedure (f = ax+b) performed separately on each sub-regime (dashed lines).