Analysis of stochastic stem cell models with control

J Yang, Z Sun, NL Komarova - Mathematical biosciences, 2015 - Elsevier
Understanding the dynamics of stem cell lineages is of central importance both for healthy
and cancerous tissues. We study stochastic population dynamics of stem cells and …

Stochastic modeling of stem-cell dynamics with control

Z Sun, NL Komarova - Mathematical biosciences, 2012 - Elsevier
Tissue development and homeostasis are thought to be regulated endogenously by control
loops that ensure that the numbers of stem cells and daughter cells are maintained at …

Stochastic control of proliferation and differentiation in stem cell dynamics

Z Sun, NL Komarova - Journal of mathematical biology, 2015 - Springer
In self-renewing tissues, cell lineages consisting of stem cell and classes of daughter cells
are the basic units which are responsible for the correct functioning of the organ. Cell …

The universal properties of stem cells as pinpointed by a simple discrete model

Z Agur, Y Daniel, Y Ginosar - Journal of mathematical biology, 2002 - Springer
The ability of a few stem-cells to repopulate a severely damaged bone marrow (BM)
guarantees the stability of our physical existence, and facilitates successful BM …

Concise review: stem cell population biology: insights from hematopoiesis

AL MacLean, C Lo Celso, MPH Stumpf - Stem Cells, 2017 - academic.oup.com
Stem cells are fundamental to human life and offer great therapeutic potential, yet their
biology remains incompletely—or in cases even poorly—understood. The field of stem cell …

Control of cell fraction and population recovery during tissue regeneration in stem cell lineages

M Renardy, A Jilkine, L Shahriyari, CS Chou - Journal of theoretical biology, 2018 - Elsevier
Multicellular tissues are continually turning over, and homeostasis is maintained through
regulated proliferation and differentiation of stem cells and progenitors. Following tissue …

[PDF][PDF] Mathematical modeling of stem cells related to cancer

MJ Piotrowska, H Enderling, U van der Heiden… - Complex Systems in …, 2008 - mcgill.ca
In this chapter we present an overview of different mathematical and numerical approaches
to describe stem cell proliferation and differentiation and the development of small cancer …

[HTML][HTML] Characterization of stem cells using mathematical models of multistage cell lineages

T Stiehl, A Marciniak-Czochra - Mathematical and Computer Modelling, 2011 - Elsevier
Stem cells dynamics is an important field of research with promising clinical impacts. Due to
the revolutionary new technologies of biological data collection, an enormous amount of …

Some results on the population behavior of cancer stem cells

E Beretta, N Morozova, V Capasso… - New Challenges for …, 2012 - Springer
Recent discovery of cancer stem cells in tumorigenic tissues has raised many questions
about their nature, origin, function and their behavior in cell culture. Most of current …

Feedback regulation in a cancer stem cell model can cause an allee effect

A Konstorum, T Hillen, J Lowengrub - Bulletin of mathematical biology, 2016 - Springer
The exact mechanisms of spontaneous tumor remission or complete response to treatment
are phenomena in oncology that are not completely understood. We use a concept from …