Mathematical Analysis and Numerical Simulations for a System Modeling Acid-Mediated Tumor Cell Invasion
Christian Maerkl, Guelnihal Meral, Christina Surulescu
article (Uluslararası, Hakemli) | Yazar(lar): Christian Maerkl, Guelnihal Meral, Christina Surulescu | Yıl: 2013 | Dergi/Kurum: INTERNATIONAL JOURNAL OF ANALYSIS | İndeks: WOS.ESCI | DOI: 10.1155/2013/878051 — Özet: This work is concerned with the mathematical analysis of a model proposed by Gatenby and Gawlinski (1996
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.