A maturity-structured mathematical model of mutation, acquisition in the absence of homeostatic regulation

SN Gentry, R Ashkenazi, TL Jackson - Mathematical Modelling of …, 2009 - cambridge.org
Most mammalian tissues are organized into a hierarchical structure of stem, progenitor, and
differentiated cells. Tumors exhibit similar hierarchy, even if it is abnormal in comparison …

A mathematical model of cancer stem cell driven tumor initiation: implications of niche size and loss of homeostatic regulatory mechanisms

SN Gentry, TL Jackson - PloS one, 2013 - journals.plos.org
Hierarchical organized tissue structures, with stem cell driven cell differentiation, are critical
to the homeostatic maintenance of most tissues, and this underlying cellular architecture is …

Pathways to tumorigenesis—modeling mutation acquisition in stem cells and their progeny

R Ashkenazi, SN Gentry, TL Jackson - Neoplasia, 2008 - Elsevier
Most adult tissues consist of stem cells, progenitors, and mature cells, and this hierarchical
architecture may play an important role in the multistep process of carcinogenesis. Here, we …

Mathematical models of stem cell differentiation and dedifferentiation

A Jilkine - Current Stem Cell Reports, 2019 - Springer
Abstract Purpose of Review To maintain and repair adult tissues, a balance must be
maintained between stem cell proliferation and generation of differentiated offspring. This …

Effect of cellular de-differentiation on the dynamics and evolution of tissue and tumor cells in mathematical models with feedback regulation

D Wodarz - Journal of theoretical biology, 2018 - Elsevier
Tissues are maintained by adult stem cells that self-renew and also differentiate into
functioning tissue cells. Homeostasis is achieved by a set of complex mechanisms that …

Evolution of cancer stem cell lineage involving feedback regulation

I Batool, N Bajcinca - Plos one, 2021 - journals.plos.org
Tumor emergence and progression is a complex phenomenon that assumes special
molecular and cellular interactions. The hierarchical structuring and communication via …

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 …

Modeling tumor evolutionary dynamics

B Stransky, SJ de Souza - Frontiers in physiology, 2013 - frontiersin.org
Tumorigenesis can be seen as an evolutionary process, in which the transformation of a
normal cell into a tumor cell involves a number of limiting genetic and epigenetic events …

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 …

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 …