1999
DOI: 10.1103/physreve.59.3320
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Effects of local feedback on dispersion of electrical waves in the cerebral cortex

Abstract: This paper generalizes an existing continuum model of the large-scale electrical activity of the brain by incorporating local feedback. The model is first reformulated by parametrizing neuronal function in more detail and we then show that only four broad classes of local feedback are consistent with general physiological constraints. The corresponding linear dispersion relations are found to contain additional modes as a result of feedback. It is shown that each feedback class can produce lightly damped or un… Show more

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Cited by 78 publications
(111 citation statements)
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“…A second thrust of research activity proposes that GABA inhibitory activity is involved in the disinhibition of glutamate and the generation of gamma synchrony [20]. The third approach comes from numerical simulations of gamma by our group, which suggest that increased arousal may be associated with widespread synchronous gamma activity [21].…”
Section: Discussionmentioning
confidence: 99%
“…A second thrust of research activity proposes that GABA inhibitory activity is involved in the disinhibition of glutamate and the generation of gamma synchrony [20]. The third approach comes from numerical simulations of gamma by our group, which suggest that increased arousal may be associated with widespread synchronous gamma activity [21].…”
Section: Discussionmentioning
confidence: 99%
“…Simple numerical simulations followed (Wright and Liley, 1996;Wright, 1997Wright, , 1999, leading to more advanced methods, including the development of wave equations (Robinson et al, 1997(Robinson et al, , 1998a(Robinson et al, , b, 2001. We have progressively introduced more refined physiological parameters, and descriptions of anatomical organization (Liley and Wright, 1994;Rennie et al, 1999Rennie et al, , 2000Rennie et al, , 2002, with the object of developing a single model to account for events in the brain at a number of different scales. Figure 1 highlights elementary features of gross brain organization.…”
Section: Introductionmentioning
confidence: 99%
“…(14) to the integral form as given by Rennie et al (1999). The inverse of the differential operator D ab of Eq.…”
Section: Derivation Of Ermentrout and Cowan's Model From The Robinsonmentioning
confidence: 99%