### Impacto

Fasano, A. and Herrero, Miguel A. and Rodrigo, Marianito R.
(2009)
*Slow and fast invasion waves in a model of acid-mediated tumour growth.*
Mathematical Biosciences, 220
(1).
pp. 45-56.
ISSN 0025-5564

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Official URL: http://www.sciencedirect.com/science/article/pii/S0025556409000698

## Abstract

This work is concerned with a reaction-diffusion system that has been proposed as a model to describe acid-mediated cancer invasion. More precisely, we consider the properties of travelling waves that can be supported by such a system, and show that a rich variety of wave propagation dynamics, both fast and slow, is compatible with the model. In particular, asymptotic formulae for admissible wave profiles and bounds on their wave speeds are provided.

Item Type: | Article |
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Uncontrolled Keywords: | Reaction-diffusion systems; Tumour growth; Asymptotic methods; Mathematical biology; Cancer-cell invasion; h+-ion mobility; malignant invasion; ventricular myocyte; excitable media; diffusion; tissue |

Subjects: | Medical sciences > Biology > Biomathematics Medical sciences > Medicine > Oncology Sciences > Mathematics > Operations research |

ID Code: | 16223 |

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Deposited On: | 10 Sep 2012 11:05 |

Last Modified: | 07 Feb 2014 09:25 |

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