A multicompartment mathematical model of cancer stem cell-driven tumor growth dynamics

SL Weekes, B Barker, S Bober, K Cisneros… - Bulletin of mathematical …, 2014 - Springer
Tumors are appreciated to be an intrinsically heterogeneous population of cells with varying
proliferation capacities and tumorigenic potentials. As a central tenet of the so-called cancer …

A mathematical model of average dynamics in a stem cell hierarchy suggests the combinatorial targeting of cancer stem cells and progenitor cells as a potential …

R Molina-Peña, JC Tudon-Martinez… - Cancers, 2020 - mdpi.com
Simple Summary Cancer stem cell (CSC) directed therapies have been increasingly
developed during the last years. However, some reported experiments using this strategy …

Stochastic dynamics of hematopoietic tumor stem cells

D Dingli, A Traulsen, JM Pacheco - Cell cycle, 2007 - Taylor & Francis
Many tumors derive from the transformation of normal stem cells into cancer stem-cells that
retain their self-renewal capacity. This modern view of cancer has provided a natural …

Cancer stem cell tumor model reveals invasive morphology and increased phenotypical heterogeneity

A Sottoriva, JJC Verhoeff, T Borovski, SK McWeeney… - Cancer research, 2010 - AACR
The recently developed concept of cancer stem cells (CSC) sheds new light on various
aspects of tumor growth and progression. Here, we present a mathematical model of …

A mathematical-biological joint effort to investigate the tumor-initiating ability of cancer stem cells

C Fornari, M Beccuti, S Lanzardo, L Conti, G Balbo… - PLoS …, 2014 - journals.plos.org
The involvement of Cancer Stem Cells (CSCs) in tumor progression and tumor recurrence is
one of the most studied subjects in current cancer research. The CSC hypothesis states that …

A simple mathematical model based on the cancer stem cell hypothesis suggests kinetic commonalities in solid tumor growth

R Molina-Peña, MM Álvarez - PloS one, 2012 - journals.plos.org
Background The Cancer Stem Cell (CSC) hypothesis has gained credibility within the
cancer research community. According to this hypothesis, a small subpopulation of cells …

Replicator dynamics of cancer stem cell: Selection in the presence of differentiation and plasticity

K Kaveh, M Kohandel, S Sivaloganathan - Mathematical biosciences, 2016 - Elsevier
The cancer stem cell hypothesis has evolved into one of the most important paradigms in
cancer research. According to cancer stem cell hypothesis, somatic mutations in a …

The tumor growth paradox and immune system-mediated selection for cancer stem cells

T Hillen, H Enderling, P Hahnfeldt - Bulletin of mathematical biology, 2013 - Springer
Cancer stem cells (CSCs) drive tumor progression, metastases, treatment resistance, and
recurrence. Understanding CSC kinetics and interaction with their nonstem counterparts …

The tumor invasion paradox in cancer stem cell-driven solid tumors

A Shyntar, A Patel, M Rhodes, H Enderling… - Bulletin of mathematical …, 2022 - Springer
Cancer stem cells (CSCs) are key in understanding tumor growth and tumor progression. A
counterintuitive effect of CSCs is the so-called tumor growth paradox: the effect where a …

The therapeutic implications of plasticity of the cancer stem cell phenotype

K Leder, EC Holland, F Michor - PloS one, 2010 - journals.plos.org
The cancer stem cell hypothesis suggests that tumors contain a small population of cancer
cells that have the ability to undergo symmetric self-renewing cell division. In tumors that …