Math. Model. Nat. Phenom.
Volume 14, Number 4, 2019
Singular perturbations and multiscale systems
|Number of page(s)||17|
|Published online||07 June 2019|
Modeling of excitatory amino acid transporters and clearance of synaptic cleft on millisecond time scale
Department of Mathematical Sciences, University of Montana,
2 Department of Biomedical Pharmaceutical Sciences, University of Montana, Missoula, MT, USA.
* Corresponding author: firstname.lastname@example.org
Accepted: 17 April 2019
Excitatory Amino Acid Transporters (EAATs) operate over wide time scales in the brain. They maintain low ambient concentrations of the primary excitatory amino acid neurotransmitter glutamate, but they also seem to play a significant role in clearing glutamate from the synaptic cleft in the millisecond time-scale process of chemical communication that occurs between neurons. The detailed kinetic mechanisms underlying glutamate uptake and clearance remain incompletely understood. In this work we used a combination of methods to model EAAT kinetics and gain insight into the impact of transport on glutamate dynamics in a general sense. We derive reliable estimates of the turnover rates of the three major EAAT subtypes expressed in the mammalian cerebral cortex. Previous studies have provided transporter kinetic estimates that vary over an order of magnitude. The values obtained in this study are consistent with estimates that suggest the unitary transporter rates are approximately 20-fold slower than the time course of glutamate in the synapse. A combined diffusion/transport model provides a possible mechanism for the apparent discrepancy.
Mathematics Subject Classification: 92C45 / 35K57 / 41A60
Key words: Chemical-kinetics / asymptotic analysis / diffusion / glutamate transport
© EDP Sciences, 2019
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