NSF PAR Search | NSF Public Access Repository

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

A Computational Study of a Spatially Continuum Mean Field Model Capturing Loss of Consciousness and the Emergence of Alpha and Gamma Rhythmic Activity in the Neocortex

https://doi.org/10.23919/ACC.2019.8814852

Haddad, Wassim M. (July 2019, American Control Conference)

In this paper, we analyze the spatiotemporal mean field model developed by Liley et al. [1] in order to advance our understanding of the wide effects of pharmacological agents and anesthetics. Specifically, we use the spatiotemporal mean field model in [1] for capturing the electrical activity in the neocortex to computationally study the emergence of α- and gamma-band rhythmic activity in the brain. We show that a oscillations in the solutions of the model appear globally across the neocortex, whereas gamma oscillations can emerge locally as a result of a bifurcation in the dynamics of the model. We solve the dynamic equations of the model using a finite element solver package and show that our results verify the predictions made by bifurcation analysis.
more » « less
Full Text Available
A Computational Study of a Spatiotemporal Mean Field Model Capturing the Emergence of Alpha and Gamma Rhythmic Activity in the Neocortex

https://doi.org/10.3390/sym10110568

Haddad, Wassim (November 2018, Symmetry)

In this paper, we analyze the spatiotemporal mean field model developed by Liley et al. in order to advance our understanding of the wide effects of pharmacological agents and anesthetics. Specifically, we use the spatiotemporal mean field model for capturing the electrical activity in the neocortex to computationally study the emergence of α - and γ -band rhythmic activity in the brain. We show that α oscillations in the solutions of the model appear globally across the neocortex, whereas γ oscillations can emerge locally as a result of a bifurcation in the dynamics of the model. We solve the dynamic equations of the model using a finite element solver package and show that our results verify the predictions made by bifurcation analysis.
more » « less
Full Text Available
On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex

https://doi.org/10.1137/16M1098577

Shirani, Farshad; Haddad, Wassim M.; de la Llave, Rafael (January 2017, SIAM Journal on Applied Dynamical Systems)

Full Text Available
A Mechanistic Neural Field Theory of How Anesthesia Suppresses Consciousness: Synaptic Drive Dynamics, Bifurcations, Attractors, and Partial State Equipartitioning

https://doi.org/10.1186/s13408-015-0032-7

Hou, Saing Paul; Haddad, Wassim M.; Meskin, Nader; Bailey, James M. (December 2015, The Journal of Mathematical Neuroscience (JMN))

Full Text Available

Search for: All records