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

被引：9
作者：
Maerkl, Christian [1 ]
Meral, Gulnihal [2 ]
Surulescu, Christina [3 ]
机构：
[1] Univ Stuttgart, Inst Numer & Angew Mathemat, D-70569 Stuttgart, Germany
[2] Bulent Ecevit Univ, Fac Arts & Sci, Dept Math, TR-67100 Zonguldak, Turkey
[3] Tech Univ Kaiserslautern, Felix Klein Zentrum Math, Paul Ehrlich Str, D-67663 Kaiserslautern, Germany
来源：
INTERNATIONAL JOURNAL OF ANALYSIS | 2013年
关键词：
D O I：
10.1155/2013/878051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：15
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