A Hyperbolic Free Boundary Problem Modeling Tumor Growth
نویسندگان
چکیده
منابع مشابه
A Parabolic-hyperbolic Free Boundary Problem Modeling Tumor Growth with Drug Application
In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three nonlinear first-order hyperbolic equations describing the evolution of proliferative cells, quiescent cells and dead cells. We deal with the radially symm...
متن کاملA free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth
We consider a tumor model with three populations of cells: proliferating, quiescent, and necrotic. Cells may change from one type to another at a rate which depends on the nutrient concentration. We assume that the tumor tissue is a fluid subject to the Stokes equation with sources determined by the proliferation rate of the proliferating cells. The boundary of the tumor is a free boundary held...
متن کاملComputing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation
We consider a free boundary problem modeling tumor growth where the model equations include a diffusion equation for the nutrient concentration and the Stokes equation for the proliferation of tumor cells. For any positive radius R, it is known that there exists a unique radially symmetric stationary solution. The proliferation rate μ and the cell-to-cell adhesiveness γ are two parameters for c...
متن کاملA Well-Posed Free Boundary Value Problem for a Hyperbolic Equation with Dirichlet Boundary Conditions
We construct solutions of a free boundary value problem for a hyperbolic equation with Dirichlet boundary data. This problem arises from a model of deformation of granular media.
متن کاملA free boundary problem modeling a foam drainage
We study a reaction-diffusion problem with a free boundary governing the evolution of a foam. We show that the problem is globaly well-posed and that the solution converges, when the viscosity tends to zero to the solution of an initial-boundary value problem for Burgers equation.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2003
ISSN: 1463-9963
DOI: 10.4171/ifb/76