3 documents found, page 1 of 1
Anomalous diffusion in porous media
Ferreira, José Augusto; Pena, Gonçalo; Romanazzi, GiuseppeIn this paper, an incompressible single phase and single component flow in a porous media presenting a non-Fickian behaviour is studied. The model is composed by a parabolic equation for the pressure, with homogeneous Dirichlet or Neumann boundary conditions, coupled with a mass conservation equation for the concentration, a transport equation for the mass flux and by Darcy’s law for the velocity. The transport...
Homogenization Model for Aberrant Crypt Foci
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, BjornSeveral explanations can be found in the literature about the origin of colorectal cancer. There is, however, some agreement on the fact that the carcinogenic process is a result of several genetic mutations of normal cells. The colon epithelium is characterized by millions of invaginations, very small cavities, called crypts, where most of the cellular activity occurs. It is agreed in the medical community tha...
A coupled convection-diffusion level set model for tracking epithelial cells in...
Figueiredo, Isabel N.; Leal, Carlos; Leonori, Tommaso; Romanazzi, Giuseppe; Figueiredo, Pedro N.; Donato, M. ManuelColorectal cancer is initiated in colonic crypts as a consequence of alterations leading to the disruption of the normal colonic cellular process. We propose a new model, which couples a convection-di usion type equation with a level set equation, for tracking the time evolution of an epithelial cell set, inside a colonic crypt, until it reaches the top of the crypt. The convection-di usion equation describes t...