Use of an hourglass model in neuronal coding

Citation
M. Cottrell et Ts. Turova, Use of an hourglass model in neuronal coding, J APPL PROB, 37(1), 2000, pp. 168-186
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPLIED PROBABILITY
ISSN journal
00219002 → ACNP
Volume
37
Issue
1
Year of publication
2000
Pages
168 - 186
Database
ISI
SICI code
0021-9002(200003)37:1<168:UOAHMI>2.0.ZU;2-X
Abstract
We study a system of interacting renewal processes which is a model for neu ronal activity. We show that the system possesses an exponentially large nu mber (with respect to the number of neurons in the network) of limiting con figurations of the firing neurons'. These we call patterns. Furthermore, un der certain conditions of symmetry we find an algorithm to control limiting patterns by means of the connection parameters.