Analytical models for transient responses in the retina

Abstract

We propose analytical models for slow potentials transients as they are recorded at different layers of the retina, but mostly as they are integrated to produce ganglion cells outputs. First, two possible pathways from photoreceptors to bipolars and to ganglia are formulated, their formal equivalence being shown for quasi-linear behaviour. Secondly, a linear oscillator analytical model is introduced which is shown also to be equivalent to the first under certain circumstances. Finally, local instantaneous nonlinearities are introduced in the models. Tunning their parameters, the models are very versatile in describing the different neurophysiological situations and responses.