Roose, T. and Chapman, S. J. and Maini, P. K. (2007) *Mathematical models of avascular cancer.* SIAM Review, 49 (2). pp. 179-208. ISSN 0036-1445

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## Abstract

This review will outline a number of illustrative mathematical models describing the growth of avascular tumours. The aim of the review is to provide a relatively comprehensive list of existing models in this area and discuss several representative models in greater detail. In the latter part of the review, some possible future avenues of mathematical modelling of avascular tumour development are outlined together with a list of key questions.

Item Type: | Article |
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Uncontrolled Keywords: | tumor modeling; cancer modeling; avascular tumors; reaction-diffusion equation; soft tissue mechanics; cellular automata |

Subjects: | O - Z > Partial differential equations A - C > Biology and other natural sciences |

Research Groups: | Oxford Centre for Industrial and Applied Mathematics Centre for Mathematical Biology |

ID Code: | 612 |

Deposited By: | Jon Chapman |

Deposited On: | 24 May 2007 |

Last Modified: | 20 Jul 2009 14:22 |

### Available Versions of this Item

- Mathematical models of avascular cancer. (deposited 04 Oct 2006)
- Mathematical models of avascular cancer. (deposited 24 May 2007)
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- Mathematical models of avascular cancer. (deposited 24 May 2007)

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