A mathematical model of dynamical properties of microsaccades

Abstract

In this study, we proposed a mathematical to reproduce the dynamic characteristics of microsaccades (MSs). MS is a component of fixation eye movements and occurs involuntarily even when gazing at a specific visual target. We obtained certain length of segments which contain an MS from fixation eye movements, and calculated ensemble averages of them. Since the amplitude of MS varies widely and also changes depending on the shape of fixation target, we categorized the MS amplitude at intervals of 0.3 deg and calculated ensemble averages for each category. As a result, it is shown that dynamic characteristics of MS are described by combination of nonlinear functions which have amplitude, overshoot, and displacement of line of sight as parameters. By combining with conventional model which reproduces the mean square displacement characteristic of fluctuation of