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- Nancy J Kopell, George B Ermentrout, Miles A. Whittington, Roger D. Traub
- Proceedings of the National Academy of Sciencesâ€¦
- 2000

Experimental and modeling efforts suggest that rhythms in the CA1 region of the hippocampus that are in the beta range (12-29 Hz) have a different dynamical structure than that of gamma (30-70 Hz).â€¦ (More)

- George B Ermentrout, Jack D. Cowan
- Biological Cybernetics
- 1979

Neuronal activity in a two-dimensional net is analyzed in the neighborhood of an instability. Bifurcation theory and group theory are used to demonstrate the existence of a variety of doublyperiodicâ€¦ (More)

- George B Ermentrout, Nancy J Kopell
- Proceedings of the National Academy of Sciencesâ€¦
- 1998

Hippocampal networks of excitatory and inhibitory neurons that produce gamma-frequency rhythms display behavior in which the inhibitory cells produce spike doublets when there is strong stimulationâ€¦ (More)

We investigate the interaction of a pair of weakly nonlinear oscillators (e.g. each near a Hopf bifurcation) when the coupling strength is comparable to the attraction of the limit cycles. Changes inâ€¦ (More)

- Elife Zerrin Bagci, Yoram Vodovotz, Timothy R Billiar, George B Ermentrout, Ivet Bahar
- Biophysical journal
- 2006

We propose a mathematical model for mitochondria-dependent apoptosis, in which kinetic cooperativity in formation of the apoptosome is a key element ensuring bistability. We examine the role of Baxâ€¦ (More)

Jonathan E. Rubin, Natalia A. Shevtsova, G. Bard Ermentrout, Jeffrey C. Smith, and Ilya A. Rybak Department of Mathematics, University of Pittsburgh, Pittsburgh; Department of Neurobiology andâ€¦ (More)

- Boris S. Gutkin, George B Ermentrout, Alex D. Reyes
- Journal of neurophysiology
- 2005

Neuronal firing is determined largely by incoming barrages of excitatory postsynaptic potentials (EPSPs), each of which produce a transient increase in firing probability. To measure the effects ofâ€¦ (More)

- Roberto F. GalÃ¡n, George B Ermentrout, Nathaniel N. Urban
- Physical review letters
- 2005

The phase-resetting curve (PRC) of a neural oscillator describes the effect of a perturbation on its periodic motion and is therefore useful to study how the neuron responds to stimuli and whether itâ€¦ (More)

- Roberto F. GalÃ¡n, Nicolas Fourcaud-TrocmÃ©, George B Ermentrout, Nathaniel N. Urban
- The Journal of neuroscience : the officialâ€¦
- 2006

Oscillations are a common feature of odor-evoked and spontaneous activity in the olfactory system in vivo and in vitro and are thought to play an important role in information processing and memoryâ€¦ (More)