Monthly
288 pp. per issue
6 x 9, illustrated
ISSN
0899-7667
E-ISSN
1530-888X
2014 Impact factor:
2.21

Neural Computation

January 1993, Vol. 5, No. 1, Pages 21-31
(doi: 10.1162/neco.1993.5.1.21)
© 1993 Massachusetts Institute of Technology
Statistical Mechanics for a Network of Spiking Neurons
Article PDF (545.96 KB)
Abstract

We show that a simple statistical mechanics model can capture the collective behavior of large networks of spiking neurons. Qualitative arguments suggest that regularly firing neurons should be described by a planar "spin" of unit length. We extract these spins from spike trains and then measure the interaction Hamiltonian using simulations of small clusters of cells. Correlations among spike trains obtained from simulations of large arrays of cells are in quantitative agreement with the predictions from these Hamiltonians. We comment on the novel computational abilities of these "XY networks."