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Science 27 February 1998:
Vol. 279. no. 5355, pp. 1351 - 1355
DOI: 10.1126/science.279.5355.1351
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Reports

Propagating Activity Patterns in Large-Scale Inhibitory Neuronal Networks

J. Rinzel, * D. Terman, X.-J. Wang, B. Ermentrout

The propagation of activity is studied in a spatially structured network model of gamma -aminobutyric acid-containing (GABAergic) neurons exhibiting postinhibitory rebound. In contrast to excitatory-coupled networks, recruitment spreads very slowly because cells fire only after the postsynaptic conductance decays, and with two possible propagation modes. If the connection strength decreases monotonically with distance (on-center), then propagation occurs in a discontinuous manner. If the self- and nearby connections are absent (off-center), propagation can proceed smoothly. Modest changes in the synaptic reversal potential can result in depolarization-mediated waves that are 25 times faster. Functional and developmental roles for these behaviors and implications for thalamic circuitry are suggested.

J. Rinzel, Mathematical Research Branch, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health, Bethesda, MD 20892, USA.
D. Terman, Department of Mathematics, Ohio State University, Columbus, OH 43210, USA.
X.-J. Wang, Center for Complex Systems and Department of Physics, Brandeis University, Waltham, MA 02254, USA.
B. Ermentrout, Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA.
*   Present address: Center for Neural Science and Courant Institute of Mathematical Sciences, New York University, New York, NY 10003, USA. To whom correspondence should be addressed at the Center for Neural Science, 4 Washington Place, Room 809, New York University, New York, NY 10003, USA. E-mail: rinzel{at}cns.nyu.edu

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