On some mathematical techniques for the analysis of visual spectral sensitivities

Starting from known spectral properties of visual photopigments and photoreceptors, a mathematical construction of neural response functions to visual stimuli is obtained. Included in this is a somewhat general derivation of the univariance principle. Temporal dependence of response on stimulus is included in the formulation. Special attention is given to the case of flash stimuli and their resulting spectral sensitivities. This formulation is applied to certain physiological spectral sensitivity measurements that are at variance with known spectrophometric results. An analysis of the data in these cases suggests that they correspond to "pseudo-pigments" arising from the neural interaction of several photopigments. The method of analysis is constructive and identifies the gamma-max's of the interacting photopigments. These are found to be in good agreement with existing spectrophotometric measurements.