On a reaction-diffusion system associated with brain lactate kinetics

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dc.contributor.authorGuillevin, Remy
dc.contributor.authorMiranville, Alain
dc.contributor.authorPerrillat-Mercerot, Angelique
dc.date.accessioned2022-03-21T15:48:27Z
dc.date.available2022-03-21T15:48:27Z
dc.date.issued2017-01-18
dc.description.abstractOur 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGuillevin, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15528
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBrain lactate kinetics
dc.subjectSpatial diffusion
dc.subjectReaction-diffusion system
dc.subjectWell-posedness
dc.subjectRegularity
dc.subjectLinear stability
dc.titleOn a reaction-diffusion system associated with brain lactate kinetics
dc.typeArticle

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