A singular reaction‐diffusion equation associated with brain lactate kinetics

DOI10.1002/mma.4150zbMath1365.35072OpenAlexW2511171348MaRDI QIDQ2988691

Alain Miranville

Publication date: 19 May 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4150

zbMATH Keywords

well-posednessspatial diffusionbrain lactate kineticssingular reaction-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Singular parabolic equations (35K67)

Related Items

On an optimal control problem describing lactate production inhibition ⋮ Global dynamics of a piecewise smooth system for brain lactate metabolism ⋮ Cooperativity in Neurons–Astrocytes Coupled Dynamics ⋮ The stability analysis of brain lactate kinetics ⋮ Cahn-Hilliard models for glial cells ⋮ Mathematical analysis of a model for proliferative-to-invasive transition of hypoxic glioma cells

Cites Work

• Mathematical physiology. I: Cellular physiology
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Attractors for reaction-diffusion equations: existence and estimate of their dimension
• L^PBounds of solutions of reaction-diffusion equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Unnamed Item