Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/13626
Title: A coupled convection-diffusion level set model for tracking epithelial cells in colonic crypts
Authors: Figueiredo, Isabel N. 
Leal, Carlos 
Leonori, Tommaso 
Romanazzi, Giuseppe 
Figueiredo, Pedro N. 
Donato, M. Manuel 
Keywords: Convection-di usion equation; Level set method; Fixed-point method; Colonic crypt
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Keywords: Convection-di usion equation; Level set method; Fixed-point method; Colonic crypt
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-52 (2009)
Abstract: Colorectal 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 the evolution of the density of the cells in the epithelial cell set. The parameters of this equation regulate the geometric and temporal cellular mechanism, and di erent parameter choices lead to distinct cell behavior. The level set equation tracks the location and shape of the epithelial cell set, inside the crypt, as well as its interface, separating the cell set from the others cells, which reside within the crypt. The interfacial velocity of the epithelial cell set is obtained from the convection-di usion type equation. Some in silico experiments are described. They are performed in a relative small time, with respect to the real biological evolution.
URI: http://hdl.handle.net/10316/13626
Rights: openAccess
Appears in Collections:FMUC Medicina - Vários
FCTUC Matemática - Vários

Files in This Item:
File Description SizeFormat
A coupled convection-diffusion level.pdf570.42 kBAdobe PDFView/Open
Show full item record

Page view(s)

78
checked on Aug 13, 2019

Download(s)

36
checked on Aug 13, 2019

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.