Mathematical Modeling of Leukemogenesis and Cancer Stem Cell Dynamics

T. Stiehl; A. Marciniak-Czochra

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 1, page 166-202
  • ISSN: 0973-5348

Abstract

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The cancer stem cell hypothesis has evolved to one of the most important paradigms in biomedical research. During recent years evidence has been accumulating for the existence of stem cell-like populations in different cancers, especially in leukemias. In the current work we propose a mathematical model of cancer stem cell dynamics in leukemias. We apply the model to compare cellular properties of leukemic stem cells to those of their benign counterparts. Using linear stability analysis we derive conditions necessary and sufficient for expansion of malignant cell clones, based on fundamental cellular properties. This approach reveals different scenarios of cancer initiation and provides qualitative hints to possible treatment strategies.

How to cite

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Stiehl, T., and Marciniak-Czochra, A.. "Mathematical Modeling of Leukemogenesis and Cancer Stem Cell Dynamics." Mathematical Modelling of Natural Phenomena 7.1 (2012): 166-202. <http://eudml.org/doc/222399>.

@article{Stiehl2012,
abstract = {The cancer stem cell hypothesis has evolved to one of the most important paradigms in biomedical research. During recent years evidence has been accumulating for the existence of stem cell-like populations in different cancers, especially in leukemias. In the current work we propose a mathematical model of cancer stem cell dynamics in leukemias. We apply the model to compare cellular properties of leukemic stem cells to those of their benign counterparts. Using linear stability analysis we derive conditions necessary and sufficient for expansion of malignant cell clones, based on fundamental cellular properties. This approach reveals different scenarios of cancer initiation and provides qualitative hints to possible treatment strategies.},
author = {Stiehl, T., Marciniak-Czochra, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {multi-compartmental models; stem cell differentiation; environmental signaling; leukemia; cancer stem cells; leukemic stem cells; linear stability analysis},
language = {eng},
month = {1},
number = {1},
pages = {166-202},
publisher = {EDP Sciences},
title = {Mathematical Modeling of Leukemogenesis and Cancer Stem Cell Dynamics},
url = {http://eudml.org/doc/222399},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Stiehl, T.
AU - Marciniak-Czochra, A.
TI - Mathematical Modeling of Leukemogenesis and Cancer Stem Cell Dynamics
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/1//
PB - EDP Sciences
VL - 7
IS - 1
SP - 166
EP - 202
AB - The cancer stem cell hypothesis has evolved to one of the most important paradigms in biomedical research. During recent years evidence has been accumulating for the existence of stem cell-like populations in different cancers, especially in leukemias. In the current work we propose a mathematical model of cancer stem cell dynamics in leukemias. We apply the model to compare cellular properties of leukemic stem cells to those of their benign counterparts. Using linear stability analysis we derive conditions necessary and sufficient for expansion of malignant cell clones, based on fundamental cellular properties. This approach reveals different scenarios of cancer initiation and provides qualitative hints to possible treatment strategies.
LA - eng
KW - multi-compartmental models; stem cell differentiation; environmental signaling; leukemia; cancer stem cells; leukemic stem cells; linear stability analysis
UR - http://eudml.org/doc/222399
ER -

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