A Computational Study of a Spatiotemporal Mean Field Model Capturing the Emergence of Alpha and Gamma Rhythmic Activity in the Neocortex

• Main Author: Wassim M. Haddad
• Format: Article
• Language: English
• Published: MDPI AG 2018-11-01
• Series: Symmetry
• Subjects: mean field models; neocortical dynamics; computational neuroscience; evolution equations; consciousness
• Online Access: https://www.mdpi.com/2073-8994/10/11/568
• ISSN: 2073-8994

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 <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>- and <inline-formula> <math display="inline"> <semantics> <mi>&#947;</mi> </semantics> </math> </inline-formula>-band rhythmic activity in the brain. We show that <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula> oscillations in the solutions of the model appear globally across the neocortex, whereas <inline-formula> <math display="inline"> <semantics> <mi>&#947;</mi> </semantics> </math> </inline-formula> 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.