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

Journal Article


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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.

UOW Authors


  •   Holder, Andrew Brett. (external author)
  •   Rodrigo, Marianito R.
  •   Herrero, Miguel A. (external author)

Publication Date


  • 2014

Citation


  • Holder, A. B., Rodrigo, M. R. & Herrero, M. A. (2014). A model for acid-mediated tumour growth with nonlinear acid production term. Applied Mathematics and Computation, 227 176-198.

Scopus Eid


  • 2-s2.0-84889682788

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2766&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/1757

Number Of Pages


  • 22

Start Page


  • 176

End Page


  • 198

Volume


  • 227

Place Of Publication


  • 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.

UOW Authors


  •   Holder, Andrew Brett. (external author)
  •   Rodrigo, Marianito R.
  •   Herrero, Miguel A. (external author)

Publication Date


  • 2014

Citation


  • Holder, A. B., Rodrigo, M. R. & Herrero, M. A. (2014). A model for acid-mediated tumour growth with nonlinear acid production term. Applied Mathematics and Computation, 227 176-198.

Scopus Eid


  • 2-s2.0-84889682788

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2766&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/1757

Number Of Pages


  • 22

Start Page


  • 176

End Page


  • 198

Volume


  • 227

Place Of Publication


  • http://www.sciencedirect.com/science/article/pii/S0096300313011855