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A Numerical Simulation for Aberrant Crypt Foci

Romanazzi∗, G.; Figueiredo, I.N.; Leal, C.;

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It is generally accepted that colorectal cancer (CRC) occurs as a consequence of several genetic mutations in the colonic mucosa. The detection and assessment of aberrant crypt foci (ACF), which are clusters of abnormal colonic crypts and believed to be the precursors of CRC, is therefore of crucial importance. This paper models and describes the dynamics of abnormal cells in the colon epithelium, with the goal of simulating the appearance and evolution of ACF. The colon is represented by a rectangular periodic domain, consisting of small rectangles containing at their centers small circles (these symbolize the crypts) and the exterior of the circles represents the intercryptal regions. The dynamics of the abnormal cells is modeled by a convection-diffusion system (where the convective velocity is defined by a Darcy’s law), inside the crypt, and by a pure diffusive model in the intercryptal region. Moreover this model is coupled with a level set equation for tracking the boundary of the abnormal cell set. Numerical simulations are reported and discussed for the particular case of a periodic domain consisting only of two rectangles.

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Palavras-chave: Convective-Diffusive Model, Level Set Method, Colonic Crypts.,

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DOI: 10.5151/meceng-wccm2012-18318

Referências bibliográficas
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Como citar:

Romanazzi∗, G.; Figueiredo, I.N.; Leal, C.; "A Numerical Simulation for Aberrant Crypt Foci", p. 1271-1282 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18318

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