Guillevin, RemyMiranville, AlainPerrillat-Mercerot, Angelique2022-03-212022-03-212017-01-18Guillevin, 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. 1-16.1072-6691https://hdl.handle.net/10877/15528Our 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalBrain lactate kineticsSpatial diffusionReaction-diffusion systemWell-posednessRegularityLinear stabilityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.