TY - JOUR
T1 - Synchronization of biological neural network systems with stochastic perturbations and time delays
AU - Zeng, Xianlin
AU - Hui, Qing
AU - Haddad, Wassim M.
AU - Hayakawa, Tomohisa
AU - Bailey, James M.
PY - 2012
Y1 - 2012
N2 - With advances in biochemistry, molecular biology, and neurochemistry there has been impressive progress in the understanding of the molecular properties of anesthetic agents. However, despite these advances, we still do not understand how anesthetic agents affect the properties of neurons that translate into the induction of general anesthesia at the macroscopic level. There is extensive experimental verification that collections of neurons may function as oscillators and the synchronization of oscillators may play a key role in the transmission of information within the central nervous system. This may be particularly relevant to understanding the mechanism of action for general anesthesia. In this paper, we develop a stochastic synaptic drive firing rate model for an excitatory and inhibitory cortical neuronal network in the face of system time delays. In addition, we provide sufficient conditions for global asymptotic mean-square synchronization for this model.
AB - With advances in biochemistry, molecular biology, and neurochemistry there has been impressive progress in the understanding of the molecular properties of anesthetic agents. However, despite these advances, we still do not understand how anesthetic agents affect the properties of neurons that translate into the induction of general anesthesia at the macroscopic level. There is extensive experimental verification that collections of neurons may function as oscillators and the synchronization of oscillators may play a key role in the transmission of information within the central nervous system. This may be particularly relevant to understanding the mechanism of action for general anesthesia. In this paper, we develop a stochastic synaptic drive firing rate model for an excitatory and inhibitory cortical neuronal network in the face of system time delays. In addition, we provide sufficient conditions for global asymptotic mean-square synchronization for this model.
UR - http://www.scopus.com/inward/record.url?scp=84874271158&partnerID=8YFLogxK
U2 - 10.1109/CDC.2012.6425969
DO - 10.1109/CDC.2012.6425969
M3 - Conference article
AN - SCOPUS:84874271158
SN - 0743-1546
SP - 1059
EP - 1064
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
M1 - 6425969
T2 - 51st IEEE Conference on Decision and Control, CDC 2012
Y2 - 10 December 2012 through 13 December 2012
ER -