title: Modeling the control of fixational eye movements with neurophysiological delays.
abstract: We propose a model for the control of fixational eye movements using time-delayed random walks. Fixational eye movements produce random displacements of the retinal image to prevent perceptual fading. First, we demonstrate that a transition from persistent to antipersistent correlations occurs in data recorded from a visual fixation task. Second, we propose and investigate a delayed random-walk model and get, by comparison of the transition points, an estimate of the neurophysiological delay. Differences between horizontal and vertical components of eye movements are found which can be explained neurophysiologically. Finally, we compare our numerical results with analytic approximations.
authors.affiliation: Helmholtz Center for Mind and Brain Dynamics, University of Potsdam, Potsdam, Germany. Konstantin.Mergenthaler@uni-potsdam.de
authors.forename: Konstantin
authors.initials: K
authors.lastname: Mergenthaler
authors.forename: Ralf
authors.initials: R
authors.lastname: Engbert
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D005133:Eye Movements / Q000502:physiology*; D005403:Fixation, Ocular / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D015203:Reproducibility of Results