Dependence of cerebellar module information storage parameters onproperties of mossy fibers-Granule cells connection matrix

摘要

An algorithm for the evaluation of the width of a nonzero elementsdiagonal strip (NEDS) for any matrix has been proposed. The algorithmincludes iterative renumeration of the lines and columns of a matrix inorder to obtain a matrix possessing the narrowest possible width of theNEDS that is invariant to the initial form of the matrix. The authorsconsider the stochastic distribution function of a number of excitedgranule cells when different randomly chosen patterns of activity areimposed on mossy fibers. The dependence of this distribution function onthe minimal width of the NEDS is demonstrated. In consideringinformation learning and its recall from cerebellar modules, theprobabilities of false memory and inability to learn some concretepatterns were calculated as a function of Purkinje cell threshold andparameters of the network. In principle, the learning capabilities of acerebellar module increase with NEDS width