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

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. 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.