Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2020.05.20.107417v1?rss=1 Authors: Reyes, A. D. Abstract: A distinct feature of the auditory system is the tonotopic organization where the preferred frequency of neurons changes systematically along one axis. Tonotopy is postulated to be substrate for a place code, where sound frequency is encoded by the location of the neurons that fire during the stimulus. Though conceptually simple, the computations that allow for the representation of intensity and complex sounds is poorly understood. Here, the mathematical framework for place code is developed. The analyses suggest that the functional architecture, or topology, consists of overlapping neuron clusters whose size varies with intensity. Algebraic operations are derived to elucidate the rules for representing and assembling multi-frequency sound in networks and for modulating them with inhibition. Results obtained with network simulations are consistent with the general predictions. The analyses reveal the advantages and limitations of a place code and provide a mathematical foundation for building computational models and for interpreting experimental data. Copy rights belong to original authors. Visit the link for more info