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Updated: May 15, 2026

A Three-dimensional Model of Spheroids to Study Colon Cancer Stem Cells
Published on: January 22, 2021
On a mathematical model of tumor growth based on cancer stem cells
1Departamento de Matematica Aplicada, EUI Informatica, Universidad Politecnica de Madrid, 28031 Madrid, Spain. jtello@eui.upm.es
Abstract:
We consider a simple mathematical model of tumor growth based on cancer stem cells. The model consists of four hyperbolic equations of first order to describe the evolution of different subpopulations of cells: cancer stem cells, progenitor cells, differentiated cells and dead cells. A fifth equation is introduced to model the evolution of the moving boundary. The system includes non-local terms of integral type in the coefficients. Under some restrictions in the parameters we show that there exists a unique homogeneous steady state which is stable.
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