Slow and fast invasion waves in a model of acid-mediated tumour growth.
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.
Fasano
Antonio
A
Dipartimento di Matematica U. Dini, Universita' di Firenze, Firenze, Italy.
Herrero
Miguel A
MA
Rodrigo
Marianito R
MR
D000465:Algorithms; D000818:Animals; D002294:Carcinoma, Squamous Cell / Q000473:pathology; D002465:Cell Movement / Q000502:physiology; D004058:Diffusion; D018450:Disease Progression; D006801:Humans; D006863:Hydrogen-Ion Concentration; D008954:Models, Biological; D009361:Neoplasm Invasiveness / Q000473:pathology*; D009369:Neoplasms / Q000378:metabolism / Q000473:pathology*; D011522:Protons; D013997:Time Factors
D011522:Protons