Analysis of a diffuse interface model of multispecies tumor growth

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00473822" target="_blank" >RIV/67985840:_____/17:00473822 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1361-6544/aa6063" target="_blank" >http://dx.doi.org/10.1088/1361-6544/aa6063</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6544/aa6063" target="_blank" >10.1088/1361-6544/aa6063</a>

Result language
angličtina
Original language name
Analysis of a diffuse interface model of multispecies tumor growth
Original language description
We consider a diffuse interface model for tumor growth recently proposed in Chen et al (2014 Int. J. Numer. Methods Biomed. Eng. 30 726–54). In this new approach sharp interfaces are replaced by narrow transition layers arising due to adhesive forces among the cell species. Hence, a continuum thermodynamically consistent model is introduced. The resulting PDE system couples four different types of equations: a Cahn–Hilliard type equation for the tumor cells (which include proliferating and dead cells), a Darcy law for the tissue velocity field, whose divergence may be different from 0 and depend on the other variables, a transport equation for the proliferating (viable) tumor cells, and a quasi-static reaction diffusion equation for the nutrient concentration. We establish existence of weak solutions for the PDE system coupled with suitable initial and boundary conditions.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)