We consider the Pavlovian eyeblink conditioning (EBC) in the cerebellum via repeated presentation of paired conditioned stimulus (tone) and unconditioned stimulus (airpuff) , and investigate the effect of diverse temporal recoding of granule (GR) cells on the EBC by varying the connection probability p_c from Golgi to GR cells . For an optimal value of p_c^*~(=0.029), individual GR cells exhibit diverse spiking patterns which are well- or ill-matched with the unconditioned stimulus. Then, these diversely-recoded signals via parallel-fibers (PFs) from the GR cells are effectively depressed by the error-teaching signals via climbing fibers (CFs) from the inferior olive. Synaptic weights at well-matched PF-Purkinje cell (PC)synapses of active GR cells are strongly depressed via strong long-term depression (LTD) , while practically no LTD occurs at ill-matched PF-PC synapses. This kind of "effective" depression at  PF-PC synapses coordinates firings of PCs effectively, which then exert effective inhibitory coordination on cerebellar nucleus neuron [which evokes conditioned response (CR; eyeblink)]. When the learning trial passes a threshold, acquisition of CR begins. In this case, the timing degree {\cal T}_d of CR becomes good due to presence of  ill-matched spiking group which plays a role of protection barrier for the timing. With further increase in the trial, strength \cal S of CR  increases due to strong LTD in the well-matched spiking group. Thus, the learning efficiency degree {\cal L}_e (taking into consideration both timing and strength of CR) for the CR increases with learning trial , and eventually it becomes saturated. By changing p_c from p_c^*, we also investigate the effect of diverse spiking patterns of GR cells on the EBC. It is this found that, the more diverse in temporal recoding of GR cells , the more effective in motor learning for the Pavlovian EBC.
We consider the Pavlovian eyeblink conditioning (EBC) via repeated presentation of paired conditioned stimulus (tone) and unconditioned stimulus (airpuff) . The influence of various temporal recoding of granule cells on the EBC is investigated in a cerebellar network where the connection probability p_c from Golgi to granule cells is changed. In an optimal case of p_c^*~(=0.029), individual granule cells show various well- and ill-matched firing patterns relative to the unconditioned stimulus. Then, these variously-recoded signals are fed into the Purkinje cells (PCs) through parallel-fibers (PFs). In the case of well-matched PF-PC synapses, their synaptic weights are strongly depressed through strong long-term depression (LTD) . On the other hand, practically no LTD occurs for the ill-matched PF-PC synapses. This type of "effective" depression at the PF-PC synapses coordinates firings of PCs effectively, which then make effective inhibitory coordination on cerebellar nucleus neuron [which elicits conditioned response (CR; eyeblink)]. When the learning trial passes a threshold, acquisition of CR begins. In this case, the timing degree {\cal T}_d of CR becomes good due to presence of the ill-matched firing group which plays a role of protection barrier for the timing. With further increase in the trial, strength \cal S of CR (corresponding to the amplitude of eyelid closure) increases due to strong LTD in the well-matched firing group. Thus, with increasing the learning trial, the (overall) learning efficiency degree {\cal L}_e (taking into consideration both timing and strength of CR) for the CR is increased , and eventually it becomes saturated. By changing p_c from p_c^*, we also investigate the influence of various temporal recoding on the EBC. It is thus found that, the more various in temporal recoding , the more effective in learning for the Pavlovian EBC.
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