Reduced model of neurotransmitter transport in the presence of generic receptors and transporters

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Abstract

We present a description of a reduction procedure for a model of glutamate transport in a synaptic cleft in the presence of a finite number of receptors and transporters with different kinetics properties. Under certain conditions a system of equations for glutamate, receptors and transporters concentrations can be substituted by a single equation for glutamate with effective diffusion and modified kinetics term. The results of model reduction are illustrated with an example showing good agreement between the behavior of the original model and the reduced model.

Original languageEnglish
Article number011
Pages (from-to)114-129
Number of pages16
JournalJournal of Physics: Conference Series
Volume55
Issue number1
DOIs
StatePublished - Dec 1 2006

Keywords

  • Effective diffusion
  • Glutamate transport
  • Model reduction
  • Neurotransmitters
  • Receptors
  • Synaptic cleft
  • Transporters

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