Numerical investigation of the Gatenby-Gawlinski model for acid-mediated tumour invasion
The Gatenby-Gawlinski model for the description of cancer invasion is taken into account with the aim of investigating its structural aspects. From a phenomenological point of view, that model is inspired by the Warburg effect and relies on the acid-mediated invasion hypothesis. By means of both a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
2019-06-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | http://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2019(3-4)/257-287.pdf |
| Summary: | The Gatenby-Gawlinski model for the description of cancer invasion is taken into
account with the aim of investigating its structural aspects. From a phenomenological point of
view, that model is inspired by the Warburg effect and relies on the acid-mediated invasion hypothesis. By means of both an analytical and numerical approach, on the heels of the results
available in the literature, the main purpose consists in paving the way for improving the understanding of the mechanisms the model is ruled by. We adopt a suitable numerical strategy
based on a finite volume approximation and provide a space-averaged propagation speed estimate
as a tool to investigate the phenomenon of traveling fronts. Simulations are performed and realistic evidence emerging from the experiments is highlighted. Afterwards, we make reasonable
assumptions for justifying some system reductions leading to a simplified version and discuss the
results without neglecting natural bonds with the whole system. Finally, the multidimensional
environment is explored with emphasis on some important qualitative aspects strongly linked to
experimental observations. |
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| ISSN: | 1120-7183 2532-3350 |