Analysis of a mathematical model for brain lactate kinetics

Analysis of a mathematical model for brain lactate kinetics

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 differe...

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Bibliographic Details
Main Authors: Carole Guillevin, Rémy Guillevin, Alain Miranville, Angélique Perrillat-Mercerot
Format: Article
Language:English
Published: AIMS Press 2018-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
brain lactate kinetics
fast-slow system
regularity
well-posedness
linear stability
limit system
simulations
in vivo data
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2018056
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https://www.aimspress.com/article/doi/10.3934/mbe.2018056

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