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Slow and fast invasion waves in a model of acid-mediated tumour growth

Journal Article


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.

UOW Authors


  •   Fasano, Antonio (external author)
  •   Herrero, Miguel A. (external author)
  •   Rodrigo, Marianito R.

Publication Date


  • 2009

Citation


  • Fasano, A., Herrero, M. & Rodrigo, M. R. (2009). Slow and fast invasion waves in a model of acid-mediated tumour growth. Mathematical Biosciences, 220 (1), 45-56.

Scopus Eid


  • 2-s2.0-67349225635

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3835

Number Of Pages


  • 11

Start Page


  • 45

End Page


  • 56

Volume


  • 220

Issue


  • 1

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.

UOW Authors


  •   Fasano, Antonio (external author)
  •   Herrero, Miguel A. (external author)
  •   Rodrigo, Marianito R.

Publication Date


  • 2009

Citation


  • Fasano, A., Herrero, M. & Rodrigo, M. R. (2009). Slow and fast invasion waves in a model of acid-mediated tumour growth. Mathematical Biosciences, 220 (1), 45-56.

Scopus Eid


  • 2-s2.0-67349225635

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3835

Number Of Pages


  • 11

Start Page


  • 45

End Page


  • 56

Volume


  • 220

Issue


  • 1