Analysis of a tumor model as a multicomponent deformable porous medium

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F22%3A00362708" target="_blank" >RIV/68407700:21110/22:00362708 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.4171/IFB/472" target="_blank" >https://doi.org/10.4171/IFB/472</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/IFB/472" target="_blank" >10.4171/IFB/472</a>

Result language
angličtina
Original language name
Analysis of a tumor model as a multicomponent deformable porous medium
Original language description
We propose a diffuse interface model to describe a tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equations for the tumor species and the nutrient dynamics to a mechanical equilibrium equation with phase-dependent elasticity coefficients. The resulting PDE system couples two Cahn–Hilliard type equations for the tumor phase and the healthy phase with a PDE linking the evolution of the interstitial fluid to the pressure of the system, a reaction-diffusion type equation for the nutrient proportion, and a quasistatic momentum balance.We prove here that the corresponding initial-boundary value problem has a solution in appropriate function spaces.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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