Analysis of a Mathematical Model for the Glutamate/Glutamine Cycle in the Brain.
Brain glutamate/glutamine cycle
Linear stability
Regularity
Simulations
Substrate kinetics
System with delay
Well-posedness
Journal
Bulletin of mathematical biology
ISSN: 1522-9602
Titre abrégé: Bull Math Biol
Pays: United States
ID NLM: 0401404
Informations de publication
Date de publication:
10 2019
10 2019
Historique:
received:
20
02
2019
accepted:
10
07
2019
pubmed:
22
7
2019
medline:
11
2
2021
entrez:
21
7
2019
Statut:
ppublish
Résumé
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.
Identifiants
pubmed: 31325013
doi: 10.1007/s11538-019-00647-4
pii: 10.1007/s11538-019-00647-4
doi:
Substances chimiques
Glutamine
0RH81L854J
Glutamic Acid
3KX376GY7L
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
4251-4270Références
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