… of stem cell dynamics in vivo. This review explores how mathematical models can help to
characterize stem cell … Right: Cancer stem cell traits relevant to understand cancer progression, …

… of stem cell dynamics. In this article, we review recent findings from mathematical models of
stem cell behavior. We focus on three aspects of stem cell dynamics: The role of stem cells in …

… For the sake of simplicity, we assume that unhealthy cells are those presenting mutations
that lead to cancer. Indeed, we consider that abnormal stem cells (Category B) have for …

… a mathematical model for IL-6 mediated, cancer stem cell … the molecular level—capturing
cell surface dynamics of receptor-… Below we develop a mathematical model for cancer stem cell…

… population in human cancers remains unknown at any stage of the disease. We develop a
parameter-free mathematical model that allows estimation of cancer stem cell fractions from …

… a mathematical model of stem cells and chemotherapy for cancer treatment, in which the
model is … In addition, in order to point out the advantages of the fractional order modeling, the …

… test the cancer stem cell theory under treatments, we incorporated the cancer stem cell
population in our model, … 59 We present the model with cancer stem cells for chemotherapy and …

… of the cancer stem cell niche, selection of the most appropriate mathematical model
remains challenging. We will describe a variety of mathematical modeling approaches and …

… engraftment of genetically engineered cells. We present a mathematical modeling approach
for studying the interactions between stem cells and niche cells (attachment, detachment, …

… Here, we focus on the models that are relevant to the cancer stem cell division and … that
likely leads to tumor growth and recurrence. First, we explore the division of cells and then focus …