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 …

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 …

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 …

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 …

[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 …

[HTML][HTML] Mathematical model of stem cell differentiation and tissue regeneration with stochastic noise

PR Paździorek - Bulletin of mathematical biology, 2014 - Springer
Differentiation and self-renewal of stem cells is an essential process for the maintenance of
tissue composition. The promise of novel medical therapies combined with the complexity of …

Mathematical modelling of cancer stem cells population behavior

E Beretta, V Capasso, N Morozova - Mathematical Modelling of …, 2012 - cambridge.org
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 …

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 …

Balance of growth models of cell populations: the significance of simple mathematical considerations

Z Grossman - Mathematics in Biology and Medicine: Proceedings of …, 1985 - Springer
One purpose of mathematical models in cell biology is to illustrate and support theoretical
arguments, eg evaluating alternative modes of regulation in complex systems. Since it is not …

A model of feedback-controlled cell populations

J Kiefer - Journal of Theoretical Biology, 1968 - Elsevier
A general model of cell populations including differentiation is presented. The existence of
linear feedback-relations between the stem-cell and the mature cell demes controlling the …