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Chapter 2. Prehension

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<strong>Chapter</strong> 5 - Movement Before Contact 139<br />

internal model of<br />

inverse-dynamics<br />

cembiu-ce&ellum<br />

and Pam led nucleus +u<br />

desired U* somaiwensoq feedback<br />

trajectory<br />

U<br />

spin~beuum * and Magno d nudeus *<br />

internal model of<br />

dynamics<br />

X<br />

movement<br />

pa ttem<br />

Figure 5.13. Hierarchical feedback-error learning model for control<br />

and for learning of voluntary movement. Somatosensory feedback<br />

x from the periphery is initially used by the motor cortex for<br />

adjusting the on-going motor command u. As the system learns<br />

the internal model of its dynamics, the transcortical corrections<br />

are replaced by a faster cerebellar feedback pathway that can more<br />

quickly adjust the motor command (using x*). Eventually, the<br />

system develops an internal model of the inverse dynamics, and<br />

can use an even faster, feedforward cerebellar pathway (generating<br />

u* to replace u) that can anticipate changes in the periphery (from<br />

Kawato, Furukawa & Suzuki, 1987; adapted by permission).<br />

the trajectory. Because the input is the desired motor pattern, xd, the<br />

output is a feedforward motor command. This motor command, in the<br />

form of muscle torques, is sent to the musculo-skeletal system which<br />

in turn produces some actual motor pattern, x. The results of the<br />

movement are received back at the motor cortex on the line labelled<br />

'somatosensory feedback' (through the medial lemniscus system) and<br />

feedback control reduces the error in Xd-X. However, delays in this<br />

path can limit the usefulness of this control method.<br />

Kawato et al. 's hierarchical feedback-error learning control model<br />

suggests that two cerebellar regions can participate in feedforward and<br />

feedback control using internal models of the limb's dynamics.<br />

Besides the feedback path described in the previous paragraph, the re-<br />

sults of the movement are received in the spinocerebellum, a part of<br />

the cerebellum that has two somatotopically organized maps of the en-

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