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

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jan;75(1 Pt 1):012901. doi: 10.1103/PhysRevE.75.012901. Epub 2007 Jan 8.

Abstract

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.

MeSH terms

  • Biophysics / methods*
  • Humans
  • Models, Neurological*
  • Models, Statistical
  • Motion
  • Movement
  • Nervous System*
  • Psychomotor Performance*
  • Reaction Time
  • Time Factors
  • Vision, Ocular*
  • Visual Perception*