Arithmetic Model for the Distributed Encoding in the Neuron-Module

Abstract

A class of arithmetic code defined in residue number system (RNS) is proposed as a mathematical model of neural encoding. The formalism of RNS provides for a vectorial representation in which the digits in the code-words (the “coordinates”) contain the information in a distributed manner. These digits and the code-words are assumed to represent the states of the neurons and neuron-modules, respectively. The involved mechanism appears physiologically possible. After the number-theoretical background is summarized in a brief though self-contained way, mathematical assertions are drawn on the error detecting and correction capacities of the formalized modules. It is concluded that RNS provides an appropriate model of neural encoding though drawing inference by the neurons (the evaluation of the encoded information) requires another formalism.

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Notes on contributors

G. Y. Fuhrmann

Joyce Laing works in the Department of Child and Family Psychiatry, Playfield House, Cupar, Fife, and is a Consultant Art Therapist to Psychiatric Hospitals and Prisons and Chairwoman of the Scottish Society of Art and Psychology.