Universidad Complutense de Madrid
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Slow and fast invasion waves in a model of acid-mediated tumour growth



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Fasano, A. y Herrero, Miguel A. y 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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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0025556409000698

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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.

Tipo de documento:Artículo
Palabras clave:Reaction-diffusion systems; Tumour growth; Asymptotic methods; Mathematical biology; Cancer-cell invasion; h+-ion mobility; malignant invasion; ventricular myocyte; excitable media; diffusion; tissue
Materias:Ciencias Biomédicas > Biología > Biomatemáticas
Ciencias Biomédicas > Medicina > Oncología
Ciencias > Matemáticas > Investigación operativa
Código ID:16223
Depositado:10 Sep 2012 11:05
Última Modificación:07 Feb 2014 09:25

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