The role of acidity in solid tumour growth and invasion. (English) Zbl 1445.92082

Smallbone, Kieran; Gavaghan, David J.; Gatenby, Robert A.; Maini, Philip K.

J. Theor. Biol. 235, No. 4, 476-484 (2005).

Summary: Acidic pH is a common characteristic of human tumours. It has a significant impact on tumour progression and response to therapies. In this paper, we develop a simple model of three-dimensional tumour growth to examine the role of acidosis in the interaction between normal and tumour cell populations. Both vascular and avascular tumour dynamics are investigated, and a number of different behaviours are observed. Whilst an avascular tumour always proceeds to a benign steady state, a vascular tumour may display either benign or invasive dynamics, depending on the value of a critical parameter. Analysis of the model allows us to assess novel therapies directed towards changing the level of acidity within the tumour.

MSC:

92C32

Pathology, pathophysiology

Keywords:

tumour invasion; glycolytic phenotype; acidity; mathematical modelling

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