AI Article Synopsis
- The article explores how tumors alter the flow of energy sources in the brain to promote their growth.
- It introduces a mathematical model consisting of 17 equations to analyze the concentrations of oxygen, lactate, and glucose, as well as cell numbers in the brain.
- The authors establish the existence of unique, non-negative solutions to the equations and present numerical simulations to support their findings.
Article 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.
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| http://dx.doi.org/10.1007/s10441-019-09343-1 | DOI Listing |
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