Sensitivity analysis and optimization for a head movement model

A sixth order nonlinear model for horizontal head rotations in humans is analyzed using an extended parameter sensitivity analysis and a global optimization algorithm. The sensitivity analysis is used in both the direct sense, as a model fitting tool, and in the indirect sense, as a guide to experimental design. Resolution is defined in terms of the sensitivity table, and is used to interpret the sensitivity results. Using sensitivity analyses, the head and eye movement systems are compared and contrasted. Controller signal parameters are the most influential. Their variations and effects on head movement trajectories and accelerations are investigated, and the conclusions are compared with clinical neurological findings. The global optimization algorithm, in addition to automating the fitting of various types of data, is combined with time optimality theory to give theoretical time-optimal inputs to the model.

[1]  W. H. Zangemeister,et al.  Eye-head coordination in homonymous hemianopia , 2004, Journal of Neurology.

[2]  M R Clark,et al.  Sensitivity of control parameters in a model of saccadic eye tracking and estimation of resultant nervous activity. , 1976, Bulletin of mathematical biology.

[3]  L. Stark,et al.  Time optimal behavior of human saccadic eye movement , 1975 .

[4]  E. Bizzi,et al.  Eye-Head Coordination in Monkeys: Evidence for Centrally Patterned Organization , 1971, Science.

[5]  M R Clark,et al.  Computer simulation of biological models using the Inners approach. , 1975, Computers in biology and medicine.

[6]  L. Stark,et al.  Simulation of head movement trajectories: model and fit to main sequence , 2004, Biological Cybernetics.

[7]  Lawrence Stark,et al.  Neurological Control Systems: Studies in Bioengineering , 1995 .

[8]  B. Cohen,et al.  Quantitative analysis of activity in eye muscle motoneurons during saccadic eye movements and positions of fixation. , 1973, Journal of neurophysiology.

[9]  L Stark,et al.  The human eye-movement mechanism. Experiments, modeling, and model testing. , 1968, Archives of ophthalmology.

[10]  L. Stark,et al.  Neural control of head rotation: Electromyographic evidence , 1982, Journal of the Neurological Sciences.

[11]  W. V. Loscutoff,et al.  General sensitivity theory , 1972 .

[12]  L. Stark,et al.  Dynamics of head movement trajectories: Main sequence relationship , 1981, Experimental Neurology.

[13]  H. Bremermann.  A method of unconstrained global optimization , 1970 .

[14]  A. Fuchs,et al.  Firing patterns of abducens neurons of alert monkeys in relationship to horizontal eye movement. , 1970, Journal of neurophysiology.