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J Neurophysiol (March 31, 2004). doi:10.1152/jn.00529.2003
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Submitted on June 2, 2003
Accepted on March 22, 2004

Potassium model for slow (2-3 Hz) in vivo neocortical paroxysmal oscillations

Maxim Bazhenov1*, Igor Timofeev2, Mircea Steriade2, and Terrence J. Sejnowski1

1 Computational Neurobiology Laboratory, The Salk Institute for Biological Studies, La Jolla, CA, USA
2 Laboratory of Neurophysiology, Laval University, Quebec, PQ, Canada

* To whom correspondence should be addressed. E-mail: bazhenov{at}salk.edu.

In slow neocortical paroxysmal oscillations, the de- and hyperpolarizing envelopes in neocortical neurons are large compared with slow sleep oscillations. Increased local synchrony of membrane potential oscillations during seizure is reflected in larger EEG oscillations and the appearance of spike-wave or polyspike-wave complex recruitment at 2-3 Hz frequencies. The oscillatory mechanisms underlying this paroxysmal activity were investigated in computational models of cortical networks. The extracellular K+ concentration ([K+]o) was continuously computed based on neuronal K+ currents and K+ pumps as well as glial buffering. An increase of [K+]o triggered a transition from normal awake-like oscillations to 2-3 Hz seizure-like activity. In this mode, the cells fired periodic bursts and nearby neurons oscillated highly synchronously; in some cells depolarization led to spike inactivation lasting 50-100 ms. A [K+]o increase, sufficient to produce oscillations could result from excessive firing (e.g., induced by external stimulation) or inability of K+ regulatory system (e.g., when glial buffering was blocked). A combination of a few currents including high-threshold Ca2+, persistent Na+ and hyperpolarization-activated depolarizing (Ih) currents was sufficient to maintain 2-3 Hz activity. In a network model that included lateral K+ diffusion between cells, increase of [K+]o in a small region was generally sufficient to maintain paroxysmal oscillations in the whole network. Slow changes of [K+]o modulated the frequency of bursting and, in some case, led to fast oscillations in the 10-15 Hz frequency range, similar to the fast runs observed during seizures in vivo. These results suggest that modifications of the intrinsic currents mediated by increase of [K+]o can explain the range of neocortical paroxysmal oscillations in vivo.




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