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A model for acid-mediated tumour growth with nonlinear acid production term

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Holder, Andrew B. and Rodrigo, Marianito R. and Herrero, Miguel A. (2014) A model for acid-mediated tumour growth with nonlinear acid production term. Applied Mathematics and Computation, 227 . pp. 176-198. ISSN 0096-3003

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Official URL: http://www.sciencedirect.com/science/article/pii/S0096300313011855




Abstract

This article considers a mathematical model for tumour growth based on an acid-mediated hypothesis, i.e. the assumption that tumour progression is facilitated by acidification of the region around the tumour-host interface. The resulting destruction of the normal tissue environment promotes tumour growth. We will derive and analyse a reaction–diffusion model for tumour progression that includes different aspects of pathological and healthy cell metabolism to check tumour growth. Our results can provide insights into the governing dynamics of invasive processes that may suggest possible intervention strategies, leading to the design of new and better experiments or treatments.


Item Type:Article
Uncontrolled Keywords:Acid mediation; Travelling wave; Tumour invasion; Interstitial gap; Reaction–diffusion system
Subjects:Medical sciences > Biology > Biomathematics
ID Code:24724
Deposited On:18 Mar 2014 10:49
Last Modified:12 Dec 2018 15:06

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