TY - JOUR
T1 - On the simulation of large populations of neurons
AU - Omurtag, A.
AU - Knight, B. W.
AU - Sirovich, L.
N1 - Funding Information:
The authors wish to gratefully acknowledge helpful conversations with E. Kaplan. We also wish to acknowledge the constructive criticism of two excellent referees, one of whom suggested the term dynamic mean field used in the text. This work was supported by NIH/NIMH MH50166, NIH/NEI EY11276, ONR N00014-96-1-0492, ONR N0014-96-1-5005.
PY - 2000
Y1 - 2000
N2 - The dynamics of large populations of interacting neurons is investigated. Redundancy present in subpopulations of cortical networks is exploited through the introduction of a probabilistic description. A derivation of the kinetic equations for such subpopulations, under general transmembrane dynamics, is presented. The particular case of integrate-and-fire membrane dynamics is considered in detail. A variety of direct simulations of neuronal populations, under varying conditions and with as many as O (105) neurons, is reported. Comparison is made with analogous kinetic equations under the same conditions. Excellent agreement, down to fine detail, is obtained. It is emphasized that no free parameters enter in the comparisons that are made.
AB - The dynamics of large populations of interacting neurons is investigated. Redundancy present in subpopulations of cortical networks is exploited through the introduction of a probabilistic description. A derivation of the kinetic equations for such subpopulations, under general transmembrane dynamics, is presented. The particular case of integrate-and-fire membrane dynamics is considered in detail. A variety of direct simulations of neuronal populations, under varying conditions and with as many as O (105) neurons, is reported. Comparison is made with analogous kinetic equations under the same conditions. Excellent agreement, down to fine detail, is obtained. It is emphasized that no free parameters enter in the comparisons that are made.
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U2 - 10.1023/A:1008964915724
DO - 10.1023/A:1008964915724
M3 - Article
C2 - 10798499
AN - SCOPUS:0034083940
SN - 0929-5313
VL - 8
SP - 51
EP - 63
JO - Journal of Computational Neuroscience
JF - Journal of Computational Neuroscience
IS - 1
ER -