The mossy fiber-granule cell-parallel fiber-Purkinje cell system of the cerebellar cortex is investigated from the viewpoint of reliability of computation. It is shown that the effects of variability in the inputs to a Purkinje cell can be reduced by having a large number of parallel fibers whose activities are statistically independent. The mossy fiber-granule cell relay is shown to be capable of performing the required function of transforming the activity in a small number of mossy fibers into activity in a much larger number of parallel fibers, while ensuring that there is little correlation between the activities of individual parallel fibers. The effects of variability in the outputs of Purkinje cells may be reduced by redundancy and convergence schemes, as evidenced by the geometrical pattern of parallel fibers and Purkinje cells and the convergence of these cells onto their target neurons.
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