ON A REACTION-DIFFUSION SYSTEM ASSOCIATED WITH BRAIN LACTATE KINETICS

被引：0

作者：

Guillevin, Remy ^{[1
,2
]}

Miranville, Alain ^{[1
]}

Perrillat-Mercerot, Angelique ^{[1
]}

机构：

[1] Univ Poitiers, UMR CNRS 7348, Lab Math & Applicat, Equipe DACTIM MIS,SP2MI, Blvd Marie & Pierre Curie,Teleport 2, F-86962 Futuroscope, France

[2] CHU Poitiers, 2 Rue Mil, F-86021 Poitiers, France

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Brain lactate kinetics; spatial diffusion; reaction-diffusion system; well-posedness; regularity; linear stability; GENERAL BOUNDARY CONDITIONS; MATHEMATICAL-MODEL; METABOLISM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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-infinity- bounds on the solutions. These results give insights on the therapeutic man-agement of glioma

引用

页数：16

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