Gamma and Theta Rhythms in Biophysical Models of Hippocampal Circuits

  • N. Kopell
  • C. Börgers
  • D. Pervouchine
  • P. Malerba
  • A. Tort
Part of the Springer Series in Computational Neuroscience book series (NEUROSCI, volume 5)

Abstract

The neural circuits of the hippocampus are extremely complex, with many classes of interneurons whose contributions to network dynamics and function are still unknown. Nevertheless, reduced models can provide insight into aspects of the dynamics and associated function. In this chapter, we discuss models at a variety of levels of complexity, all simple enough to probe the reasons for the behavior of the model. The chapter focuses on the main rhythms displayed by the hippocampus, the gamma (30–90 Hz) and theta (4–12 Hz) rhythms. We concentrate on modeling in vitro experiments, but with an eye toward possible in vivo implications.

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • N. Kopell
    • 1
  • C. Börgers
    • 2
  • D. Pervouchine
    • 3
  • P. Malerba
    • 4
  • A. Tort
    • 5
  1. 1.Department of Mathematics and Center for BioDynamicsBoston UniversityBostonUSA
  2. 2.Department of MathematicsTufts UniversityMedfordUSA
  3. 3.Faculty of Bioengineering and BioinformaticsMoscow State UniversityMoscowRussia
  4. 4.Center for BioDynamics and Department of MathematicsBoston UniversityBostonUSA
  5. 5.Edmond and Lily Safra International Institute of Neuroscience of NatalFederal University of Rio Grande do NorteNatalBrazil

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