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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Biomathematical model for simulating abnormal orifice patterns in colonic crypts

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Author(s):
Figueiredo, Isabel N. [1] ; Leal, Carlos [1] ; Romanazzi, Giuseppe [2] ; Engquist, Bjorn [3, 4]
Total Authors: 4
Affiliation:
[1] Univ Coimbra, Fac Sci & Technol, Dept Math, CMUC, Coimbra - Portugal
[2] State Univ Campinas UNICAMP, Inst Math Stat & Sci Comp IMECC, Dept Appl Math, Campinas, SP - Brazil
[3] Univ Texas Austin, Dept Math, Austin, TX 78712 - USA
[4] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 - USA
Total Affiliations: 4
Document type: Journal article
Source: MATHEMATICAL BIOSCIENCES; v. 315, SEP 2019.
Web of Science Citations: 0
Abstract

Colonic polyps, which are abnormal growths in the colon, are a major concern in colon cancer diagnosis and prevention. Medical studies evidence that there is a correlation between histopathology and the shapes of the orifices in colonic crypts. We propose a biomathematical model for simulating the appearance of anomalous shapes for the orifices of colonic crypts, associated to an abnormal cell proliferation. It couples a mechanical model that is a mixed elastic/viscoelastic quasi-static model describing the deformation of the crypt orifice, with a convection-diffusion model that simulates the crypt cell dynamics in space and time. The coupling resides in the variation of pressure generated by abnormal proliferative cells that induce a mechanical force and originate the change in shape of the crypt orifice. Furthermore the model is formulated in a two-dimensional setting, for emulating the top view of the colonic mucosa, observed in vivo in colonoscopy images. The primary focus of this study is on the modeling of this complex biological phenomenon, by defining an appropriate reduced biomathematical model. Additionally, a numerical procedure to determine its solution is also addressed. The overall numerical simulations indicate that an excess of cell proliferation, in different crypt locations, creates some of the anomalous patterns of the colonic crypt orifices, observed in vivo in medical images. (AU)

FAPESP's process: 17/05519-5 - Multiscale modeling and numerical simulation of the firsts steps of the formation of colorectal cancer
Grantee:Giuseppe Romanazzi
Support Opportunities: Regular Research Grants