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AuthorHou, S.P.
AuthorHaddad, W.M.
AuthorMeskin, N.
AuthorBailey, J.M.
Available date2015-12-15T06:52:47Z
Publication Date2015-12
Publication NameJournal of Mathematical Neuroscience
CitationHou, S.P. et al. "A Mechanistic Neural Field Theory of How Anesthesia Suppresses Consciousness: Synaptic Drive Dynamics, Bifurcations, Attractors, and Partial State Equipartitioning", The Journal of Mathematical Neuroscience (JMN) 2015, 5:20.
ISSN2190-8567
URIhttp://dx.doi.org/10.1186/s13408-015-0032-7
URIhttp://hdl.handle.net/10576/3951
AbstractWith the advances in biochemistry, molecular biology, and neurochemistry there has been impressive progress in understanding the molecular properties of anesthetic agents. However, there has been little focus on how the molecular properties of anesthetic agents lead to the observed macroscopic property that defines the anesthetic state, that is, lack of responsiveness to noxious stimuli. In this paper, we use dynamical system theory to develop a mechanistic mean field model for neural activity to study the abrupt transition from consciousness to unconsciousness as the concentration of the anesthetic agent increases. The proposed synaptic drive firing-rate model predicts the conscious-unconscious transition as the applied anesthetic concentration increases, where excitatory neural activity is characterized by a Poincare-Andronov-Hopf bifurcation with the awake state transitioning to a stable limit cycle and then subsequently to an asymptotically stable unconscious equilibrium state. Furthermore, we address the more general question of synchronization and partial state equipartitioning of neural activity without mean field assumptions. This is done by focusing on a postulated subset of inhibitory neurons that are not themselves connected to other inhibitory neurons. Finally, several numerical experiments are presented to illustrate the different aspects of the proposed theory.
SponsorNPRP grant No. 4-187-2-060 from the Qatar National Research Fund (a member of the Qatar Foundation)
Languageen
PublisherSpringer Verlag
SubjectBiological networks
SubjectConsciousness
SubjectDynamical systems
SubjectEquipartition
SubjectGeneral anesthesia
SubjectHopf bifurcation
SubjectMean field models
SubjectSpiking neuron models
SubjectSynaptic drives
SubjectSyncrhonization
TitleA Mechanistic Neural Field Theory of How Anesthesia Suppresses Consciousness: Synaptic Drive Dynamics, Bifurcations, Attractors, and Partial State Equipartitioning
TypeArticle
Issue Number1
Volume Number5


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