D. Bullock et al., A SELF-ORGANIZING NEURAL MODEL OF MOTOR EQUIVALENT REACHING AND TOOL USE BY A MULTIJOINT ARM, Journal of cognitive neuroscience, 5(4), 1993, pp. 408-435
This paper describes a self-organizing neural model for eye-hand coord
ination. Called die DIRECT model, it embodies a solution of the classi
cal motor equivalence problem. Motor equivalence computations allow hu
mans and other animals to flexibly employ an arm with more degrees of
freedom than the space in which it moves to carry out spatially define
d tasks under conditions that may require novel joint configurations.
During a motor babbling phase, the model endogenously generates moveme
nt commands that activate the correlated visual, spatial, and motor in
formation that are used to learn its internal coordinate transformatio
ns. After learning occurs, the model is capable of controlling reachin
g movements of the arm to prescribed spatial targets using many differ
ent combinations of joints. When allowed visual feedback, the model ca
n automatically perform, without additional learning, reaches with too
ls of variable lengths, with clamped joints, with distortions of visua
l input by a prism, and with unexpected perturbations. These compensat
ory computations occur within a single accurate reaching movement. No
corrective movements are needed. Blind reaches using internal feedback
have also been simulated. The model achieves its competence by transf
orming visual information about target position and end effector posit
ion in 3-D space into a body-centered spatial representation of the di
rection in 3-D space that the end effector must move to contact the ta
rget. The spatial direction vector is adaptively transformed into a mo
tor direction vector, which represents the joint rotations that move t
he end effector in the desired spatial direction from the present arm
configuration. Properties of the model are compared with psychophysica
l data on human reaching movements, neurophysiological data on the tun
ing curves of neurons in the monkey motor cortex, and alternative mode
ls of movement control.