Toward a theory of the general-anesthetic-induced phase transition of the cerebral cortex. II. Numerical simulations, spectral entropy, and correlation times

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dc.contributor.authorSteyn-Ross, D. Alistair
dc.contributor.authorSteyn-Ross, Moira L.
dc.contributor.authorWilcocks, Lara C.
dc.contributor.authorSleigh, James W.
dc.coverage.spatialUnited Statesen_NZ
dc.date.accessioned2008-11-20T21:11:19Z
dc.date.available2008-11-20T21:11:19Z
dc.date.issued2001
dc.description.abstractIn our two recent papers [M.L. Steyn-Ross et al., Phys. Rev. E 60, 7299 (1999); 64, 011917 (2001)] we presented clinical evidence for a general anesthetic-induced phase change in the cerebral cortex, and showed how the significant features of the cortical phase change (biphasic power surge, spectral energy redistribution, “heat capacity” divergence), could be explained using a stochastic single-macrocolumn model of the cortex. The model predictions were based on rather strong “adiabatic” assumptions which assert that the mean-field excitatory and inhibitory macrocolumn voltages are “slow” variables whose equilibration times are much longer than those of the input “currents” that drive the macrocolumn. In the present paper we test the adiabatic assumption by running numerical simulations of the stochastic differential equations. These simulations confirm the number and nature of the steady-state solutions, the growth of fluctuation power at transition, and the redistribution of spectral energy towards lower frequencies. We use spectral entropy to quantify these changes in the power spectral density, and to show that the spectral entropy should decrease markedly at the point of transition. This prediction agrees with recent clinical findings by Viertiö-Oja and colleagues [J. Clinical Monitoring Computing 16, 60 (2000)]. Our modeling work shows that there is an inverse relationship between spectral entropy H and correlation time T of the soma-voltage fluctuations: H∝- (ln T). In a theoretical analysis we prove that this proportionality becomes exact for an ideal Lorentzian process. These findings suggest that by monitoring the changes in EEG correlation time, it should be possible to track changes in the state of patient consciousness.en_US
dc.identifier.citationSteyn-Ross, D. A., Steyn-Ross, M. L., Wilcocks, L. C. & Sleigh, J. W. (2001). Toward a theory of the general-anesthetic-induced phase transition of the cerebral cortex. II. Numerical simulations, spectral entropy, and correlation times. Physical Review E, 64(1), 011918.en_US
dc.identifier.doi10.1103/PhysRevE.64.011918en_US
dc.identifier.urihttps://hdl.handle.net/10289/1426
dc.language.isoen
dc.publisherAmerican Physical Societyen_NZ
dc.relation.isPartOfPhysical Review Een_NZ
dc.relation.urihttp://prola.aps.org/abstract/PRE/v64/i1/e011918en_US
dc.subjectnumerical simulationsen_US
dc.subjectspectral entropyen_US
dc.titleToward a theory of the general-anesthetic-induced phase transition of the cerebral cortex. II. Numerical simulations, spectral entropy, and correlation timesen_US
dc.typeJournal Articleen_US
pubs.begin-page1en_NZ
pubs.elements-id42130
pubs.end-page11en_NZ
pubs.issue1en_NZ
pubs.volume64en_NZ
uow.identifier.article-noARTN 011918en_NZ
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