Open AccessAnalysis of a mathematical model for brain lactate kinetics
Author(s) -
Carole Guillevin,
Rémy Guillevin,
Alain Miranville,
Angélique Perrillat-Mercerot
Publication year - 2018
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2018056
Subject(s) - uniqueness , kinetics , stability (learning theory) , mathematics , statistical physics , mathematical analysis , physics , computer science , classical mechanics , machine learning
The aim of this article is to study the well-posedness and properties of a fast-slow system which is related with brain lactate kinetics. In particular, we prove the existence and uniqueness of nonnegative solutions and obtain linear stability results. We also give numerical simulations with different values of the small parameter ε and compare them with experimental data.