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Updated: Aug 25, 2026

Induction of an Isoelectric Brain State to Investigate the Impact of Endogenous Synaptic Activity on Neuronal Excitability In Vivo
Published on: March 31, 2016
On the formation of persistent states in neuronal network models of feature selectivity
Evan C Haskell1, Paul C Bressloff
1Department of Mathematics, University of Utah, 155 S 1400 E JWB 233, Salt Lake City, Utah 84112, USA.
Abstract:
We study the existence and stability of localized activity states in neuronal network models of feature selectivity with either a ring or spherical topology. We find that the neural field has mono-stable, bi-stable, and tri-stable regimes depending on the parameters of the weighting function. In the case of homogeneous inputs, these localized activity states are marginally stable with respect to rotations. The response of a stable equilibrium to an inhomogeneous input is also determined.
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