Functional models of neurobiological processes

Authors:
William P. Coleman;David P. Sanford;Andrea De Gaetano;Fred Geisler
Affiliations:
MIEMSS, UMAB/ Baltimore, MD 21201 USA and Department of Mathematics & Statistics, UMBC/ Baltimore, MD 21228 USA and St. John's College, Annapolis, MD 21404 USA;Aeronautical Radio, Inc./ 2551 Riva Road, Annapolis, MD 21401 USA;C.N.R. Centro di Studio per la Fisiopatologia dello Shock, Istituto di Clinica Chirurgica, Università/ Cattolica del Sacro Cuore/ Via Pineta Sacchetti, 644, I-00168 Roma, Italia;Division of Neurosurgery, UMAB/ Baltimore, MD 21201 USA and Department of Neurosurgery, Patuxent Medical Group/ Columbia, MD 21045 USA
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1990

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Proceedings of the The First Great Lakes Computer Science Conference on Computing in the 90's

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Abstract

This paper uses a very general theory of computation to develop a set of working hypotheses and an accompanying mathematical formalism that model the semantics and structure of cognitive processes. We can think of the brain as a modular system of neural networks, each producing a sequence of output states in response to input states furnished by others, and sometimes by the outside world. We use category theory to specify, and reason about, a model consisting of an appropriately connected set of functions.