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Slow and fast invasion waves in a model of acid-mediated tumour growth |
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| Authors: | Antonio Fasano Marianito R. Rodrigo |
| Affiliation: | a Dipartimento di Matematica U. Dini, Universita’ di Firenze, Viale Morgagni 67a, 50134 Firenze, Italy b Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain c Departamento Académico de Matemáticas, Instituto Tecnológico Autónomo de México, Río Hondo #1, Col. Tizapán San Ángel, México D.F. 01000, Mexico |
| 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. |
| Keywords: | 35B55 35K57 92B05 92C15 |
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