Analysis of a Mathematical Model for the Glutamate/Glutamine Cycle in the Brain
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Our aim in this article is to study the well-posedness and properties of a system with delay which is related with brain glutamate and glutamine kinetics. In particular, we prove the existence and uniqueness of nonnegative solutions. We also give numerical simulations and compare their order of magnitude with experimental data.
KeywordsBrain glutamate/glutamine cycle Substrate kinetics System with delay Regularity Well-posedness Linear stability Simulations
Mathematics Subject Classification34A34 35B09 35Q92
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