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Mathematical framework for place coding in the auditory system
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DOI：10.1371/journal.pcbi.1009251.png)
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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. 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.
Keyword:
FREQUENCY DIFFERENCE LIMENS
BASILAR-MEMBRANE
HOUSE-MOUSE
PURE-TONE
FUNCTIONAL-ORGANIZATION
TONOTOPIC ORGANIZATION
PSYCHOMETRIC FUNCTIONS
INFERIOR COLLICULUS
LOUDNESS SUMMATION
RECEPTIVE-FIELDS
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7.2
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2.1K
被引数:
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Interaural Level Difference-Dependent Gain Control and Synaptic Scaling Underlying Binaural Computation.png)
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