101. Mathematical framework for place coding in the auditory system
- Author
-
Alex D. Reyes
- Subjects
0301 basic medicine ,Auditory Pathways ,Computer science ,Physiology ,Loudness Perception ,Sensory Physiology ,Action Potentials ,Social Sciences ,Synaptic Transmission ,Loudness ,Critical band ,0302 clinical medicine ,Simple (abstract algebra) ,Animal Cells ,Psychology ,Biology (General) ,Pitch Perception ,Neurons ,Coding Mechanisms ,Ecology ,Artificial neural network ,Physics ,Sensory Systems ,Electrophysiology ,medicine.anatomical_structure ,Computational Theory and Mathematics ,Auditory System ,Modeling and Simulation ,Physical Sciences ,Auditory Perception ,Evoked Potentials, Auditory ,Sound Pressure ,Sensory Perception ,Tonotopy ,Cellular Types ,Algorithm ,Research Article ,Computer and Information Sciences ,Neural Networks ,QH301-705.5 ,Models, Neurological ,Neurophysiology ,Stimulus (physiology) ,Membrane Potential ,03 medical and health sciences ,Cellular and Molecular Neuroscience ,Genetics ,medicine ,Auditory system ,Animals ,Humans ,Computer Simulation ,Representation (mathematics) ,Molecular Biology ,Ecology, Evolution, Behavior and Systematics ,Computational Neuroscience ,Auditory Cortex ,Quantitative Biology::Neurons and Cognition ,Cognitive Psychology ,Biology and Life Sciences ,Computational Biology ,Cell Biology ,Acoustics ,Acoustic space ,030104 developmental biology ,Acoustic Stimulation ,Algebraic operation ,Cellular Neuroscience ,Cognitive Science ,Perception ,Neural Networks, Computer ,Nerve Net ,030217 neurology & neurosurgery ,Coding (social sciences) ,Neuroscience - Abstract
In the auditory system, tonotopy is postulated to be the 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 are poorly understood. Here, a mathematical framework is developed in order to define clearly the conditions that support a place code. To accommodate both frequency and intensity information, the neural network is described as a space with elements that represent individual neurons and clusters of neurons. A mapping is then constructed from acoustic space to neural space so that frequency and intensity are encoded, respectively, by the location and size of the clusters. Algebraic operations -addition and multiplication- are derived to elucidate the rules for representing, assembling, and modulating multi-frequency sound in networks. The resulting outcomes of these operations are consistent with network simulations as well as with electrophysiological and psychophysical data. The analyses show how both frequency and intensity can be encoded with a purely place code, without the need for rate or temporal coding schemes. The algebraic operations are used to describe loudness summation and suggest a mechanism for the critical band. The mathematical approach complements experimental and computational approaches and provides a foundation for interpreting data and constructing models., Author summary One way of encoding sensory information in the brain is with a so-called place code. In the auditory system, tones of increasing frequencies activate sets of neurons at progressively different locations along an axis. The goal of this study is to elucidate the mathematical principles for representing tone frequency and intensity in neural networks. The rigorous, formal process ensures that the conditions for a place code and the associated computations are defined precisely. This mathematical approach offers new insights into experimental data and a framework for constructing network models.
- Published
- 2021