Mathematical Analysis and Numerical Simulations for a System Modeling Acid-Mediated Tumor Cell Invasion
Joint Authors
Surulescu, Christina
Märkl, Christian
Meral, Gülnihal
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-10
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Märkl, Christian& Meral, Gülnihal& Surulescu, Christina. 2013. Mathematical Analysis and Numerical Simulations for a System Modeling Acid-Mediated Tumor Cell Invasion. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-505540
Modern Language Association (MLA)
Märkl, Christian…[et al.]. Mathematical Analysis and Numerical Simulations for a System Modeling Acid-Mediated Tumor Cell Invasion. International Journal of Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-505540
American Medical Association (AMA)
Märkl, Christian& Meral, Gülnihal& Surulescu, Christina. Mathematical Analysis and Numerical Simulations for a System Modeling Acid-Mediated Tumor Cell Invasion. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-505540
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505540
