Mathematical Modelling of Tumour Dormancy

K. M. Page

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 3, page 68-96
  • ISSN: 0973-5348

Abstract

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Many tumours undergo periods in which they apparently do not grow but remain at a roughly constant size for extended periods. This is termed tumour dormancy. The mechanisms responsible for dormancy include failure to develop an internal blood supply, individual tumour cells exiting the cell cycle and a balance between the tumour and the immune response to it. Tumour dormancy is of considerable importance in the natural history of cancer. In many cancers, and in particular in breast cancer, recurrence can occur many years after surgery to remove the primary tumour, following a long period of occult disease. Mathematical modelling suggested that continuous growth of tumours was incompatible with data of the times of recurrence in breast cancer, suggesting that tumour dormancy was a common phenomenon. Modelling has also been applied to understanding the mechanisms responsible for dormancy, how they can be manipulated and the implications for cancer therapy. Here, the literature on mathematical modelling of tumour dormancy is reviewed. In conclusion, promising future directions for research are discussed.

How to cite

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Page, K. M.. "Mathematical Modelling of Tumour Dormancy." Mathematical Modelling of Natural Phenomena 4.3 (2009): 68-96. <http://eudml.org/doc/222282>.

@article{Page2009,
abstract = { Many tumours undergo periods in which they apparently do not grow but remain at a roughly constant size for extended periods. This is termed tumour dormancy. The mechanisms responsible for dormancy include failure to develop an internal blood supply, individual tumour cells exiting the cell cycle and a balance between the tumour and the immune response to it. Tumour dormancy is of considerable importance in the natural history of cancer. In many cancers, and in particular in breast cancer, recurrence can occur many years after surgery to remove the primary tumour, following a long period of occult disease. Mathematical modelling suggested that continuous growth of tumours was incompatible with data of the times of recurrence in breast cancer, suggesting that tumour dormancy was a common phenomenon. Modelling has also been applied to understanding the mechanisms responsible for dormancy, how they can be manipulated and the implications for cancer therapy. Here, the literature on mathematical modelling of tumour dormancy is reviewed. In conclusion, promising future directions for research are discussed. },
author = {Page, K. M.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {cancer; dormancy; mathematical models},
language = {eng},
month = {6},
number = {3},
pages = {68-96},
publisher = {EDP Sciences},
title = {Mathematical Modelling of Tumour Dormancy},
url = {http://eudml.org/doc/222282},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Page, K. M.
TI - Mathematical Modelling of Tumour Dormancy
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/6//
PB - EDP Sciences
VL - 4
IS - 3
SP - 68
EP - 96
AB - Many tumours undergo periods in which they apparently do not grow but remain at a roughly constant size for extended periods. This is termed tumour dormancy. The mechanisms responsible for dormancy include failure to develop an internal blood supply, individual tumour cells exiting the cell cycle and a balance between the tumour and the immune response to it. Tumour dormancy is of considerable importance in the natural history of cancer. In many cancers, and in particular in breast cancer, recurrence can occur many years after surgery to remove the primary tumour, following a long period of occult disease. Mathematical modelling suggested that continuous growth of tumours was incompatible with data of the times of recurrence in breast cancer, suggesting that tumour dormancy was a common phenomenon. Modelling has also been applied to understanding the mechanisms responsible for dormancy, how they can be manipulated and the implications for cancer therapy. Here, the literature on mathematical modelling of tumour dormancy is reviewed. In conclusion, promising future directions for research are discussed.
LA - eng
KW - cancer; dormancy; mathematical models
UR - http://eudml.org/doc/222282
ER -

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