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Spatially localized interactive neural populations—II: Stability and dynamics of excitatory sets

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Abstract

The stability characteristics and dynamical behavior of a system of mutually excitatory neurons in close spatial proximity are investigated with a mathematical model. The model predicts the existence of uniform, intermediate levels of activity other than those of no activity and maximal activity. The model also, yeilds a good explanation of data obtained from periglomerular neurons in the olfactory bulb of the cat.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Clemson University, 29631, Clemson, SC, USA

    James R. Brannan

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  1. James R. Brannan
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This paper is based on a dissertation submitted by the author to Rensselaer Polytechnic Institute in partial fulfillment of the requirements for the degree of Doctor of Philosophyy.

This work was supported in part by a Fellowship sponsored by the IBM Corporation and in part by the National Science Foundation under Grant MCS75-08328.

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Brannan, J.R. Spatially localized interactive neural populations—II: Stability and dynamics of excitatory sets. Bltn Mathcal Biology 44, 43–56 (1982). https://doi.org/10.1007/BF02459418

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  • DOI: https://doi.org/10.1007/BF02459418

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