Title
Consistency of Listing’s law and reciprocal innervation with pseudo-inverse control of eye position in 3-D
Abstract
Pseudo-inverse kinematics, under which small movements are produced by the least possible sum square changes in motor command, has been proposed as a unifying principle for the elimination of redundancy in general biological motor control systems (Pellionisz 1984) and in particular in the oculomotor system (Daunicht 1988, 1991). We have noted elsewhere (Dean et al. 1999) that this principle is incomplete without first specifying a parameterisation of motor command space and we proposed that the relevant motor command parameter is summed motor unit firing rate. Under this assumption we were able to show that pseudo-inverse control of the horizontal extraocular muscles is consistent with available motor pool firing rate data. In this paper we extend this result to three dimensions and all six extraocular muscles, showing that pseudo-inverse control is consistent with published firing rate data for a realistic model of oculomotor kinematics. We suggest that pseudo-inverse control may represent a common currency for modular control of many degree of freedom systems while its implementation may be a consequence of the minimisation of a more ecologically relevant parameter such as post-saccadic retinal slip.
Year
DOI
Venue
2004
10.1007/s00422-004-0486-2
Biological Cybernetics
Keywords
DocType
Volume
Motor Unit,Motor Command,Extraocular Muscle,Common Currency,Oculomotor System
Journal
91
Issue
ISSN
Citations 
1
0340-1200
2
PageRank 
References 
Authors
0.52
2
3
Name
Order
Citations
PageRank
Paul A. Warren151.63
John Porrill235285.11
Paul Dean39310.90