On a reaction-diffusion system associated with brain lactate kinetics
Date
2017-01-18
Authors
Guillevin, Remy
Miranville, Alain
Perrillat-Mercerot, Angelique
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Our aim in this article is to study properties of a reaction-diffusion system which is related with brain lactate kinetics, when spatial diffusion is taken into account. In particular, we prove the existence and uniqueness of nonnegative solutions and obtain linear stability results. We also derive L-∞ bounds on the solutions. These results give insights on the therapeutic management of glioma.
Description
Keywords
Brain lactate kinetics, Spatial diffusion, Reaction-diffusion system, Well-posedness, Regularity, Linear stability
Citation
Guillevin, R., Miranville, A., Perrillat-Mercerot, A. (2017). On a reaction-diffusion system associated with brain lactate kinetics. <i>Electronic Journal of Differential Equations, 2017</i>(23), pp. 1-16.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.