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Brindley. This work was supported by a grant from the Trinity College reeearch fund. , ECCLES, J. , HARVEY, R. ,l\IATTHEws, P. B. C. (1968). '!. J. PhY8iol. 194, 125-145. BRIXDLEY, G. S. (1964). The use made by the cerebellum of the information that it receives from sense organs. Int. Brain. Ru. Org. Bulletin 3,80. BRIXDLEY, G. S. (1969). Nerve net models of plausible size that will perf'>rm many of very many simple learning task. Proc. R. Soc. B. ) , BRODAL, A. (1954). Afferent cerebellar connections.

If one naively set about constructing a threshold-setting cell to perform the function required by the present theory, one would propose one inhibitory cell per one or two Purkinje cells. Its axon would synapse with just the one (or two adjacent) Purkinje cells, and its dendritic field would at least be very close to that of its corresponding Purkinje cell. RR close to those of the relevant Purkinje cell, but also very nearly as extensive: this would be necessary in order to obtain a reliable measurement of the usually sparse parallel fibre activity.

Let T(E) be thf" threshold set in response to the stimulation of M(E) parallel fibres hy the mossy fihre input E (regarded as an input to a particular Purkinje cell Pl. Let f he the fraction of the (200,000) parallel fihre synapses whieh have heen facilitated at P. If E has been learnt, all M(E) of the active parallel fihres will have facilitated synapses at P. Hence if E is to he recognized as learnt, T(E) ~ M(E) (i). If E is not a learned event, and F(E) is the number of the active parallel fibres which have facilitated synapses at P, then E will he ignored only if T(E) > F(E) (ii).

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