By X. Berek. Bemidji State University.
The geometry of the cortex allows us to deﬁne (approximately) a Pur- kinje unit purchase 150mg cleocin with amex. Consider a granular cell (gc) belonging to the unit containing the nearest Purkinje cell it is in contact with discount cleocin 150 mg on line. Then (gc) may be considered to belong to a speciﬁc unit labeled k if the following conditions are satisﬁed: (gc) synapses with at least one Purkinje cell of unit k, the distance between (gc) and the Purkinje cells is the smallest distance between (gc) and any Purkinje cell it is in contact with outside the unit, and (gc) synapses with at least one Golgi cell of unit k. The basket and stellar cells included in the unit are those that are in contact with the Purkinje cell of unit k. This unit may be divided into two subsystems, the granular cell subsystem (GCS), that is, the neural network composed of granular cells (ﬁgure 7. The Purkinje unit, which is the repeating unit of the cerebellar cortex, is thus the basic element of a hierarchical network. We know that the function of the cerebellar cortex is the learning and recall of spatiotemporal patterns (Thompson, 1994). Therefore, a satisfactory transformation of the cerebellum would Y F X1... The nonlinear transformation is F, and for signals before transformation, lower-case letters are used (e. Inputs are the outputs Xi of the granule cell subsys- tem (on the right). Berger require that the output of the system remain within physiological limits and that the modiﬁable synaptic weights be asymptotically stable to ensure the learning process. The conditions necessary for the stability of the observed function call for adequate values of geometric and physiological parameters, that is, the number of cells in- volved, the value of the synaptic weighting, and so on. These conditions thus con- tribute to the determination of the Purkinje unit. Using the earlier deﬁnition of a functional unit, the Purkinje unit associated with the deep cerebellar nuclei, that is, the local circuit composed of one Purkinje cell and its associated cells, can be considered as the functional unit of the cerebellar cortex. This is supported by the following arguments: The deﬁnition of a Purkinje unit is geometric as well as functional. A set of Pur- kinje units corresponds to a microzone (Ito, 1984), although it should be noted that the deﬁnition of the microzone is not based on mathematical criteria.
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