This paper gives an explanation for the experimentally observed onset latencies of the inhibitory responses that vary from a few milliseconds to hundreds of milliseconds in systems where the conduction delays are only several milliseconds in the feedback pathways. To do this we use a simple mathematical model. The model consists of two delay differential equations (DDE) where the nonlinear relation between the postsynaptic potential and the firing frequency of the neuron population arises from the stoichiometry of the transmitter-receptor kinetics. The parameters of the model refer to the hippocampal feedback system, and the modeling results are compared with corresponding experiments.
机构:
Princeton Univ, Lewis Sigler Inst Integrat Genom, Princeton, NJ 08544 USAPrinceton Univ, Lewis Sigler Inst Integrat Genom, Princeton, NJ 08544 USA
Rajan, Kanaka
Abbott, L. F.
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机构:
Columbia Univ, Coll Phys & Surg, Dept Neurosci, New York, NY 10032 USA
Columbia Univ, Coll Phys & Surg, Dept Physiol & Cellular Biophys, New York, NY 10032 USAPrinceton Univ, Lewis Sigler Inst Integrat Genom, Princeton, NJ 08544 USA
机构:
Univ Pittsburgh, Dept Ophthalmol, Pittsburgh, PA 15213 USA
Univ Pittsburgh, Ctr Neural Basis Cognit, Pittsburgh, PA 15213 USAUniv Pittsburgh, Dept Ophthalmol, Pittsburgh, PA 15213 USA
Snyder, Adam C.
Smith, Matthew A.
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机构:
Univ Pittsburgh, Dept Ophthalmol, Pittsburgh, PA 15213 USA
Univ Pittsburgh, Ctr Neural Basis Cognit, Pittsburgh, PA 15213 USA
Univ Pittsburgh, Dept Bioengn, Pittsburgh, PA 15213 USA
Univ Pittsburgh, Fox Ctr Vis Restorat, Pittsburgh, PA 15213 USAUniv Pittsburgh, Dept Ophthalmol, Pittsburgh, PA 15213 USA