Open AccessModeling the stem cell hypothesis: Investigating the effects of cancer stem cells and TGF−β on tumor growth
Author(s) -
Samantha Elliott,
Emek Köse,
Allison Lewis,
Anna E Steinfeld,
Elizabeth Zollinger
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019360
Subject(s) - cancer stem cell , stem cell , cancer cell , cancer , chemotherapy , cancer research , tumor cells , biology , oncology , medicine , microbiology and biotechnology
We propose a mathematical model to describe the interaction of cancer stem cells, tumor cells, and the immune system in order to better understand tumor growth in the presence of cancer stem cells. We consider the system in two scenarios: with no-treatment and with a chemotherapy treatment regimen. We develop a system of differential equations, fit the parameters to experimental data, and perform sensitivity and stability analysis. The model simulations show that the tumor cells grow as predicted with no-treatment and that with chemotherapy, which targets only the tumor cells, the cancer will eventually relapse. As chemotherapy does not target the cancer stem cells, we conclude that the tumor cells recover due to the presence of cancer stem cells.