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Chapter 2. Prehension

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140 THE PHASES OF PREHENSION<br />

tire body and receives proprioceptive information from the joint cap-<br />

sules, muscle spindles, cutaneous receptors, and tendon organs. The<br />

spinocerebellum (sending output to the magnocellular red nucleus) re-<br />

ceives commands from somatosensory and motor cortices. Receiving<br />

this efference copy of the intended motor command u and feedback<br />

about the evolving movement, it can regulate the periphery by making<br />

error-correcting compensations for small variations in loads and<br />

smooth out the physiological tremor. Kawato suggested that this sys-<br />

tem provides an approximated prediction, x*, of the actual movement,<br />

x, since it has access to the motor command itself. To do this, the<br />

Spinocerebellum/Magno red nucleus system has an internal neural<br />

model of the musculoskeletal system’s forward dynamics. The pre-<br />

dicted movements error, u-x*, is sent to motor cortex and to the mus-<br />

cles. Slowly as learning proceeds, this internal feedback pathway re-<br />

places the external feedback path for feedback control.<br />

At the same time, Kawato et al. (1987) suggested another area of<br />

the cerebellum is involved in predicting the motor command using an<br />

inverse dynamical model. The cerebro-cerebellum (having its output<br />

to the parvocellular part of the red nucleus) monitors the desired motor<br />

pattern, Xd, and the motor command, u. There is neural evidence for<br />

this, since the cerebro-cerebellum has outputs to the thalamus and<br />

motor and premotor cortex, and has inputs from the pontine nuclei<br />

which relays information from cerebral cortical areas that include the<br />

somatosensory, motor, premotor and posterior parietal area. It has no<br />

inputs from the periphery, and the parvocellular part of the red nucleus<br />

does not contribute to the rubrospinal tract, meaning that it does not<br />

have a direct output to the musculo-skeletal system the way the<br />

magnocellular part does. Kawato et al. suggested that the cerebro-<br />

cerebellum has an internal model of the system’s inverse-dynamics,<br />

thus in effect modelling motor cortex. In simulating the inverse<br />

dynamics, Kawato et al. used a feedforward and feedback control<br />

model, such that:<br />

T(t) = Ti(t) + Tf(t) M<br />

u = u*+Kx (6)<br />

where T(t) is the total torque at time t, Ti(t) is the torque computed by<br />

the inverse-dynamics model, and Tf(t) is the feedback torque. The<br />

Cerebrocerebellum/Pao Red Nucleus computes a motor command<br />

u* from the desired trajectory xd, sending its results to the motor cor-<br />

tex.

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