Multi-scale Modelling for Threshold Dependent Differentiation

A. Q. Cai; Y. Peng; J. Wells; X. Dai; Q. Nie

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 4, page 103-117
  • ISSN: 0973-5348

Abstract

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The maintenance of a stable stem cell population in the epidermis is important for robust regeneration of the stratified epithelium. The population size is usually regulated by cell secreted extracellular signalling molecules as well as intracellular molecules. In this paper, a simple model incorporating both levels of regulation is developed to examine the balance between growth and differentiation for the stem cell population. In particular, the dynamics of a known differentiation regulator c-Myc, its threshold dependent differentiation, and feedback regulation on maintaining a stable stem cell population are investigated.

How to cite

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Cai, A. Q., et al. "Multi-scale Modelling for Threshold Dependent Differentiation." Mathematical Modelling of Natural Phenomena 4.4 (2009): 103-117. <http://eudml.org/doc/222372>.

@article{Cai2009,
abstract = { The maintenance of a stable stem cell population in the epidermis is important for robust regeneration of the stratified epithelium. The population size is usually regulated by cell secreted extracellular signalling molecules as well as intracellular molecules. In this paper, a simple model incorporating both levels of regulation is developed to examine the balance between growth and differentiation for the stem cell population. In particular, the dynamics of a known differentiation regulator c-Myc, its threshold dependent differentiation, and feedback regulation on maintaining a stable stem cell population are investigated. },
author = {Cai, A. Q., Peng, Y., Wells, J., Dai, X., Nie, Q.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {cell division; cell differentiation; stem cells; threshold; cell population balance model; c-Myc; epidermal development; cell population balance model},
language = {eng},
month = {7},
number = {4},
pages = {103-117},
publisher = {EDP Sciences},
title = {Multi-scale Modelling for Threshold Dependent Differentiation},
url = {http://eudml.org/doc/222372},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Cai, A. Q.
AU - Peng, Y.
AU - Wells, J.
AU - Dai, X.
AU - Nie, Q.
TI - Multi-scale Modelling for Threshold Dependent Differentiation
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/7//
PB - EDP Sciences
VL - 4
IS - 4
SP - 103
EP - 117
AB - The maintenance of a stable stem cell population in the epidermis is important for robust regeneration of the stratified epithelium. The population size is usually regulated by cell secreted extracellular signalling molecules as well as intracellular molecules. In this paper, a simple model incorporating both levels of regulation is developed to examine the balance between growth and differentiation for the stem cell population. In particular, the dynamics of a known differentiation regulator c-Myc, its threshold dependent differentiation, and feedback regulation on maintaining a stable stem cell population are investigated.
LA - eng
KW - cell division; cell differentiation; stem cells; threshold; cell population balance model; c-Myc; epidermal development; cell population balance model
UR - http://eudml.org/doc/222372
ER -

References

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