Mathematical Modeling of Substrates Fluxes and Tumor Growth in the Brain View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03-13

AUTHORS

Angélique Perrillat-Mercerot, Nicolas Bourmeyster, Carole Guillevin, Alain Miranville, Rémy Guillevin

ABSTRACT

The aim of this article is to show how a tumor can modify energy substrates fluxes in the brain to support its own growth. To address this question we use a modeling approach to explain brain nutrient kinetics. In particular we set up a system of 17 equations for oxygen, lactate, glucose concentrations and cells number in the brain. We prove the existence and uniqueness of nonnegative solutions and give bounds on the solutions. We also provide numerical simulations. More... »

PAGES

1-27

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10441-019-09343-1

DOI

http://dx.doi.org/10.1007/s10441-019-09343-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112731689

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/30868396


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