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Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells
Joint Authors
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The goal of this paper is to construct a new algorithm for the numerical simulations of the evolution of tumour invasion and metastasis.
By means of mathematical model equations and their numerical solutions we investigate how cancer cells can produce and secrete matrix degradative enzymes, degrade extracellular matrix, and invade due to diffusion and haptotactic migration.
For the numerical simulations of the interactions between the tumour cells and the surrounding tissue, we apply numerical approximations, which are spectrally accurate and based on small amounts of grid-points.
Our numerical experiments illustrate the metastatic ability of tumour cells.
American Psychological Association (APA)
Kolev, M.& Zubik-Kowal, B.. 2010. Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells. Computational and Mathematical Methods in Medicine،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-472693
Modern Language Association (MLA)
Kolev, M.& Zubik-Kowal, B.. Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells. Computational and Mathematical Methods in Medicine No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-472693
American Medical Association (AMA)
Kolev, M.& Zubik-Kowal, B.. Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells. Computational and Mathematical Methods in Medicine. 2010. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-472693
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472693