The Theories of Gerbrandus Jelgersma (1859–1942) on the Function of the Cerebellum

Gerbrandus Jelgersma published extensively on the (pathological) anatomy of the cerebellum between 1886 and 1934. Based on his observations on the double innervation of the Purkinje cells, he formulated a hypothesis on the function of the cerebellum. Both afferent systems of the cerebellum, the mossy fiber-parallel fiber system and the climbing fibers terminate on the Purkinje cell dendrites. According to Jelgersma, the mossy fiber-parallel fiber system is derived from the pontine nuclei and the inferior olive, and would transmit the movement images derived from the cerebral cortex. Spinocerebellar climbing fibers would transmit information about the execution of the movement. When the Purkinje cell compares these inputs and notices a difference between instruction and execution, it sends a correction through the descending limb of the superior cerebellar peduncle to the anterior horn cells. Jelgersma postulates that this cerebro-cerebellar coordination system shares plasticity with other nervous connections because nerve cell dendritic protrusions possess what he called amoeboid mobility: dendritic protrusions can be extended or retracted and are so able to create new connections or to abolish them. Jelgersma’s theories are discussed against the background of more recent theories of cerebellar function that, similarly, are based on the double innervation of the Purkinje cells. The amoeboid hypothesis is traced to its roots in the late nineteenth century.

Cerebellar climbing fibers encode expected reward size

Climbing fiber inputs to the cerebellum encode error signals that instruct learning. Recently, evidence has accumulated to suggest that the cerebellum is also involved in the processing of reward. To study how rewarding events are encoded, we recorded the activity of climbing fibers when monkeys were engaged in an eye movement task. At the beginning of each trial, the monkeys were cued to the size of the reward that would be delivered upon successful completion of the trial. Climbing fiber activity increased when the monkeys were presented with a cue indicating a large reward, but not a small reward. Reward size did not modulate activity at reward delivery or during eye movements. Comparison between climbing fiber and simple spike activity indicated different interactions for coding of movement and reward. These results indicate that climbing fibers encode the expected reward size and suggest a general role of the cerebellum in associative learning beyond error correction.

Classical conditioning drives learned reward prediction signals in climbing fibers across the lateral cerebellum

Classical models of cerebellar learning posit that climbing fibers operate according to a supervised learning rule to instruct changes in motor output by signaling the occurrence of movement errors. However, cerebellar output is also associated with non-motor behaviors, and recently with modulating reward association pathways in the VTA. To test how the cerebellum processes reward related signals in the same type of classical conditioning behavior typically studied to evaluate reward processing in the VTA and striatum, we have used calcium imaging to visualize instructional signals carried by climbing fibers across the lateral cerebellum in mice before and after learning. We find distinct climbing fiber responses in three lateral cerebellar regions that can each signal reward prediction. These instructional signals are well suited to guide cerebellar learning based on reward expectation and enable a cerebellar contribution to reward driven behaviors, suggesting a broad role for the lateral cerebellum in reward-based learning.

How cerebellar motor learning keeps saccades accurate

The neuronal substrate underlying the learning of a sophisticated task has been difficult to study. However, the advent of a behavioral paradigm that deceives the saccadic system into thinking it is making an error has allowed the mechanisms of the adaptation that corrects this error to be revealed in a primate. The neural elements that fashion the command signal for the generation of accurate saccades involve subcortical structures in the brain stem and cerebellum. In this review we show that sites in both those structures also are involved with the gradual adaptation of saccade size, a form of motor learning. Pharmacological manipulation of the oculomotor vermis (lobules VIc and VII) impairs mechanisms that either increase or decrease saccade size during adaptation. The net saccade-related simple spike (SS) activity of its Purkinje cells is correlated with the changes in saccade characteristics that occur during adaptation. These changes in SS activity are driven by an error signal delivered over climbing fibers, which create complex spikes whose probability of occurrence reflects the motor error between the actual and desired saccade size. These climbing fibers originate in the part of the inferior olive that receives projections from the superior colliculus (SC). Disabling the SC prevents adaptation and stimulation of the SC just after a normal saccade produces a surrogate error signal that drives adaptation without an actual visual error. Therefore, the SC provides not only the initial command that generates a saccade, as shown by others, but also the error signal that ensures that saccades remain accurate.