Semianalytical transient solution of a delayed differential equation and its application to the tracking motion in the sensory-motor system

We derived semianalytically the transient solution of a delayed differential equation that had been shown to be a simple but good model of the sensory-motor system. In the present Brief Report, we applied this transient solution for studying the global nature of the transient tracking motion when vi...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 75; no. 1 Pt 1; p. 012901
Main Authors Ishida, Fumihiko, Sawada, Yasuji E
Format Journal Article
LanguageEnglish
Published United States 01.01.2007
Subjects
Biophysics - methods
Humans
Models, Neurological
Models, Statistical
Motion
Movement
Nervous System
Psychomotor Performance
Reaction Time
Time Factors
Vision, Ocular
Visual Perception
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Summary:We derived semianalytically the transient solution of a delayed differential equation that had been shown to be a simple but good model of the sensory-motor system. In the present Brief Report, we applied this transient solution for studying the global nature of the transient tracking motion when visual target information is changed suddenly. The results clarified that the dynamic error minimization principle in hand motion observed experimentally is robust over a wide range of the parameter space of the delay time, the time constant, and the feedforward parameter.
ISSN:1539-3755
DOI:10.1103/physreve.75.012901