Analysis of a Mathematical Model for the Molecular Mechanism of Fate Decision in Mammary Stem Cells

Kirnasovsky, O. U., Kogan, Y., and Agur, Z.. "Analysis of a Mathematical Model for the Molecular Mechanism of Fate Decision in Mammary Stem Cells." Mathematical Modelling of Natural Phenomena 3.7 (2008): 78-89. <http://eudml.org/doc/222426>.

@article{Kirnasovsky2008,
abstract = { Recently, adult stem cells have become a focus of intensive biomedical research, but the complex regulation that allows a small population of stem cells to replenish depleted tissues is still unknown. It has been suggested that specific tissue structures delimit the spaces where stem cells undergo unlimited proliferation (stem cell niche). In contrast, mathematical analysis suggests that a feedback control of stem cells on their own proliferation and differentiation (denoted Quorum Sensing) suffices for preserving homeostasis in developing tissues. In the present work we examine this discrepancy by analyzing a mathematical model of signalling pathways in a mammary stem cell. Our work shows that the model has a unique equilibrium depending on the environmental conditions, which is stable for appropriate parameter values. We show how this dependence on the micro-environment can control the cell decision to either proliferate or differentiate. Our work further suggests that this description is sufficient for the creation of niche conditions, with no need of additional structures. The analysis also pinpoints the pathways that may serve as the Quorum Sensing mechanism. },
author = {Kirnasovsky, O. U., Kogan, Y., Agur, Z.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {proliferation; differentiation; intracellular pathways; Wnt; Notch; cell signalling},
language = {eng},
month = {10},
number = {7},
pages = {78-89},
publisher = {EDP Sciences},
title = {Analysis of a Mathematical Model for the Molecular Mechanism of Fate Decision in Mammary Stem Cells},
url = {http://eudml.org/doc/222426},
volume = {3},
year = {2008},
}

TY - JOUR
AU - Kirnasovsky, O. U.
AU - Kogan, Y.
AU - Agur, Z.
TI - Analysis of a Mathematical Model for the Molecular Mechanism of Fate Decision in Mammary Stem Cells
JO - Mathematical Modelling of Natural Phenomena
DA - 2008/10//
PB - EDP Sciences
VL - 3
IS - 7
SP - 78
EP - 89
AB - Recently, adult stem cells have become a focus of intensive biomedical research, but the complex regulation that allows a small population of stem cells to replenish depleted tissues is still unknown. It has been suggested that specific tissue structures delimit the spaces where stem cells undergo unlimited proliferation (stem cell niche). In contrast, mathematical analysis suggests that a feedback control of stem cells on their own proliferation and differentiation (denoted Quorum Sensing) suffices for preserving homeostasis in developing tissues. In the present work we examine this discrepancy by analyzing a mathematical model of signalling pathways in a mammary stem cell. Our work shows that the model has a unique equilibrium depending on the environmental conditions, which is stable for appropriate parameter values. We show how this dependence on the micro-environment can control the cell decision to either proliferate or differentiate. Our work further suggests that this description is sufficient for the creation of niche conditions, with no need of additional structures. The analysis also pinpoints the pathways that may serve as the Quorum Sensing mechanism.
LA - eng
KW - proliferation; differentiation; intracellular pathways; Wnt; Notch; cell signalling
UR - http://eudml.org/doc/222426
ER -