Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells

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creativework.publisherHindawi Limiteden
dc.contributor.authorZubik-Kowal B.
dc.contributor.authorKolev M.
dc.date.accessioned2024-12-04T13:38:24Z
dc.date.accessioned2024-12-04T13:46:57Z
dc.date.available2024-12-04T13:38:24Z
dc.date.available2024-12-04T13:46:57Z
dc.date.issued2011-01-01
dc.description.abstractThe 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. Copyright © 2011 M. Kolev and B. Zubik-Kowal.
dc.identifier.doi10.1155/2011/452320
dc.identifier.issn1748-6718
dc.identifier.issn1748-670X
dc.identifier.scopusSCOPUS_ID:79952947931en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/1538
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79952947931&origin=inward
dc.titleNumerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells
dc.typeArticle
oaire.citation.volume2011
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