The Retina as a Dynamical System Bruno Cessac Universit´eC^oted'Azur, Inria, France Biovision team and Neuromod Institute 2004 route des Lucioles 06901 Sophia Antipolis France.
[email protected] Abstract Considering the retina as a high dimensional, non autonomous, dynamical system, layered and structured, with non stationary and spatially inhomogeneous entries (visual scenes), we present sev- eral examples where dynamical systems-, bifurcations-, and ergodic-theory provide useful insights on retinal behaviour and dynamics. arXiv:2012.05501v1 [q-bio.NC] 10 Dec 2020 1 I. INTRODUCTION The retina is the entrance to the visual system [1]1. The development of new technologies and experimental methodologies (MEA, 2-photon, genetic engineering, pharmacology) and the resulting experiments have made it possible to show that the retina is not a mere camera, transforming the flow of photons coming from a visual scene in sequences of action potentials interpretable by the visual cortex. It appears, in contrast, that the specific and hierarchical structure of the retina allows it to pre-process visual information, at different scales, in order to reduce redundancy and increase the speed, efficiency and reliability of visual responses [2]. This is particularly salient in the processing of motion, which is the essence of what our visual system receives as input: there are no static objects since our body, our head, our eyes are constantly on the move. In particular, it has been shown experimentally that the retina can detect a moving object on a background having a distinct motion, anticipate the trajectory of a moving object [2] or, even, respond to changes in its trajectory [3].