Solvability and Numerical Solution of a Cross-Diffusion Cancer Invasion Model

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509019" target="_blank" >RIV/00216208:11320/25:10509019 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-86173-4_45" target="_blank" >https://doi.org/10.1007/978-3-031-86173-4_45</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-86173-4_45" target="_blank" >10.1007/978-3-031-86173-4_45</a>

Result language
angličtina
Original language name
Solvability and Numerical Solution of a Cross-Diffusion Cancer Invasion Model
Original language description
We consider a model of the invasion of healthy tissue by cancer cells which is described by a system of nonlinear PDEs consisting of a cross-diffusion-reaction equation and two additional nonlinear ordinary differential equations. We discuss the existence of global classical solutions and formulate a positivity preserving finite element discretization stabilized by the flux-corrected transport approach. Moreover, we present a result on the solvability of this nonlinear discrete problem. The properties of both the model and its discretization are illustrated by numerical results computed using the deal.II library.
Czech name
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Czech description
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Project
<a href="/en/project/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Lecture Notes in Computational Science and Engineering
ISBN
978-3-031-86172-7
ISSN
1439-7358
e-ISSN
2197-7100
Number of pages
10
Pages from-to
446-455
Publisher name
Springer
Place of publication
Cham
Event location
Lisabon
Event date
Sep 4, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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