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Department of Mathematical Sciences

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About Me

The research of Horacio G. Rotstein focuses mainly on the study of the biophysical and dynamic mechanisms underlying the generation of rhythmic oscillatory activity in the brain, particularly in the hippocampus and entorhinal cortex. Rhythmic oscillations at theta (8 - 12 Hz) and gamma (30 - 80 Hz) frequencies in these areas of the brain have been correlated with various forms of learning and memory. In addition, alteration in particular sorts of brain rhythmic oscillations have been shown to correlate with the existence and progression of a variety of neuropsychiatric conditions, including schizophrenia and dementia. Rhythms differ not only in their frequency range, but also in the underlying biophysical mechanisms by which they are generated. These mechanisms usually vary in different brain areas, and may operate at a single cell level or may involve the coherent activity of many cells and cell types in a network. The primary goal of my research is to uncover and understand the underlying biophysical and dynamic principles that govern the generation of rhythmic activity in the brain. As secondary goals I hope to understand the functional implications for brain functioning of the previous results, the relation between disruption of rhythmic activity and diseases of the nervous system, and the effects that changes at a subcellular level have on rhythms observed at the single cell and network levels.

Education

  • PhD, Applied Mathematics, TECHNION - Israel Institute of Technology (1998).
  • MSc, Applied Mathematics, TECHNION - Israel Institute of Technology (1994).
  • BSc, Chemistry, Universidad Nacional del Sur, Argentina (1989).

Courses I Teach

Not teaching any courses this semester

Courses Taught

Classes Taught

Spring ´08

Fall ´07

 


Selected Publications

  • H. G. Rotstein, T. Oppermann, J. A. White, N. Kopell (2006). The dynamic structure underlying subthreshold oscillatory activity and the onset of spikes in a model of medial entorhinal cortex stellate cells. To be published in the J. Comp. Neurosci.
  • D. D. Pervouchine, T. I. Netoff, H. G. Rotstein, J. A. White, M. O. Cunningham, M. A. Whittington, N. Kopell (2006). Low-dimensional maps encoding dynamics in the entorhinal cortex and the hippocampus. Neural Computation 18:2617-2650.
  • H. G. Rotstein, R. Kuske (2006). Localized and asynchronous patterns via canards in coupled calcium oscillators. Physica D. 215:46-61.
  • H. G. Rotstein, D. D. Pervouchine, C. D. Acker, M. J. Gillies, J. A. White, E. H. Buhl, M. A. Whittington, N. Kopell (2005). Slow and fast inhibition and an h-current interact to create a theta rhythm in a model of CA1 interneuron network. J. Neurophysiol. 94:1509-1518.
  • T. Gloveli, T. Dugladze, H. G. Rotstein, R. D. Traub, H. Monyer, U. Heinemann, M. Whittington, N. Kopell (2005). Orthogonal arrangement of rhythm-generating microcircuits in the hippocampus. PNAS 102:13295-13300.
  • H. G. Rotstein, N. Kopell, A. M. Zhabotinsky, I. R. Epstein (2003). Canard phenomenon and localization of oscillations in the Belousov-Zhabotinsky reaction with global feedback. J. Chem. Phys. 119:8824-8832.
  • H. G. Rotstein, N. Kopell, A. M. Zhabotinsky, I. R. Epstein (2003). A canard mechanism for localization in systems of globally coupled oscillators. SIAM J. Appl. Math., 63:1098-2019.

Scienctific (Peer Reviewed) Journals

Teaching Material