Mathematical Analysis and Numerical Simulations for a System Modeling Acid-Mediated Tumor Cell Invasion

Christian Märkl, Gülnihal Meral and Christina Surulescu

International Journal of Analysis, 2013, vol. 2013, 1-15

Abstract:

This work is concerned with the mathematical analysis of a model proposed by Gatenby and Gawlinski (1996) in order to support the hypothesis that tumor-induced alteration of microenvironmental pH may provide a simple but comprehensive mechanism to explain cancer invasion. We give an intuitive proof for the existence of a solution under general initial conditions upon using an iterative approach. Numerical simulations are also performed, which endorse the predictions of the model when compared with experimentally observed qualitative facts.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:878051

DOI: 10.1155/2013/878051

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