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dc.contributor.authorAL Saidi, Waleed Hamdan Khalfanen_NZ
dc.date.accessioned2008-03-14T15:27:26Z
dc.date.available2008-07-31T16:42:17Z
dc.date.issued2008en_NZ
dc.identifier.citationAL Saidi, W. H. K. (2008). Theoretical Investigation of NMDA Effect on the Cerebral Cortex (Thesis, Master of Science (MSc)). The University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/2465en
dc.identifier.urihttps://hdl.handle.net/10289/2465
dc.description.abstractThis thesis examines the dynamical behaviour of incorporating NMDA (an excitatory neurotransmitter) for the electrodynamic model of the cerebral cortex. The model used is the mean-field model developed by Steyn-Ross et al. (2005) which describes the behaviour of the cortex in terms of parameters averaged over spatially localised populations. The behaviour of the model is determined by the four control parameters: inhibitory effect li, subcortical drive s, and NMDA neurotransmitter e ect set by an excitatory factor le and the magnesium concentration C. Adopting this model could give a better understanding of the cortex functionality and the anaesthetic mechanism. The model predicts that there are either one or three stationary states available to the cortex. We identify two of these with highly activated state and a quiescent state and focus on the transition between the two. Theoretical stability predictions (eigenvalue analysis) verified by a numerical simulation show that the system is unstable between the two Hopf bifurcations. In addition, in the stable region the steady states remains stable under a small perturbation, while in the unstable region either a transition between states or a limit cycle (oscillation) occurs depending on the position of the steady state.en_NZ
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherThe University of Waikatoen_NZ
dc.rightsAll items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
dc.subjectNMDA Effecten_NZ
dc.subjectCerebral Cortexen_NZ
dc.titleTheoretical Investigation of NMDA Effect on the Cerebral Cortexen_NZ
dc.typeThesisen_NZ
thesis.degree.disciplineScience and Engineeringen_NZ
thesis.degree.grantorUniversity of Waikatoen_NZ
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (MSc)en_NZ
uow.date.accession2008-03-14T15:27:26Zen_NZ
uow.date.available2008-07-31T16:42:17Zen_NZ
uow.identifier.adthttp://adt.waikato.ac.nz/public/adt-uow20080314.152726en_NZ
uow.date.migrated2009-06-09T23:32:08Zen_NZ
pubs.place-of-publicationHamilton, New Zealanden_NZ


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