Ph.D., University of Chicago Research InterestsDr. Ermentrout's research program investigates models of neural and muscle physiology. His main areas of research over the last few years are (i) the mechanisms for synchrony in networks of cortical neurons and (ii) modes of propagation in cortical and other slice preparations. He approaches these problems both computationally and using the methods of nonlinear dynamics. More specifically, he is interested in the role of waves and oscillations in the olfactory systems of the Limax (with Alan Gelperin) and the turtle (with Larry Cohen and David Kleinfeld). He also is interested in computational mechanisms of sensory processing in the somatosensory area of the rat (with Dan Simons).Trainees in Dr. Ermentrout's laboratory will develop mathematical models of physiological systems and learn how to use various mathematical tools (numerical analysis, stability theory, nonlinear dynamics) in order to understand their behavior. Recent Publications- Ermentrout B, Wang JW, Flores J, and Gelperin, A. Model for olfactory discrimination and learning in Limax procerebrum incorporating oscillatory dynamics and wave propagation J NEUROPHYSIOL 85 (4): 1444-1452 2001
- Ermentrout GB, Kleinfeld D Traveling electrical waves in cortex: insights from phase dynamics and speculation on a computational role NEURON 29: (1) 33-44, 2001
- Golomb D, Ermentrout GB Bistability in pulse propagation in networks of excitatory and inhibitory populations PHYS REV LETT 86 (18): 4179-4182, 2001
- Kopell N, Ermentrout GB, Whittington MA, et al. Gamma rhythms and beta rhythms have different synchronization properties P NATL ACAD SCI USA 97: (4) 1867-1872, 2000
- Ermentrout, G.B., Neural networks as spatio-temporal pattern forming systems, Reports of Progress in Physics, 61:353-430, 1998.
- Ermentrout, G.B., Flores, J., & Gelperin, A., Minimal model of oscillations and waves in the limax olfactory lobe with tests of the models predictive power, J. Neurophys. 79:2677-89, 1998.
- Rinzel, J., Terman, D., Wang, X.J., & Ermentrout, G.B., Propagating activity patterns in large-scale inhibitory neuronal networks, Science, 279 (5355) : 1351-1355, 1998.
Links - Bardware: XPP, XTC, and other useful mathematics packages for exploring phase spaces and dynamical systems.
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