A fully continuous individual-based model of tumor cell invasion

Gómez-Mourelo, Pablo and Sánchez Mañes, Eva María and Casasús Latorre, Pedro Luis and Webb, F.Glenn (2008). A fully continuous individual-based model of tumor cell invasion. "Comptes Rendus Biologies", v. 331 (n. 11); pp. 823-836. ISSN 1631-0691. https://doi.org/10.1016/j.crvi.2008.08.010.

Description

Title: A fully continuous individual-based model of tumor cell invasion
Author/s:
  • Gómez-Mourelo, Pablo
  • Sánchez Mañes, Eva María
  • Casasús Latorre, Pedro Luis
  • Webb, F.Glenn
Item Type: Article
Título de Revista/Publicación: Comptes Rendus Biologies
Date: January 2008
ISSN: 1631-0691
Volume: 331
Subjects:
Freetext Keywords: Individual-based models; computational mathematics
Faculty: E.T.S.I. Industriales (UPM)
Department: Matemática Aplicada a la Ingeniería Industrial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The aim of this work is to develop and study a fully continuous individual-based model (IBM) for cancer tumor invasion into a spatial environment of surrounding tissue. The IBM improves previous spatially discrete models, because it is continuous in all variables (including spatial variables), and thus not constrained to lattice frameworks. The IBM includes four types of individual elements: tumor cells, extracellular macromolecules (MM), a matrix degradative enzyme (MDE), and oxygen. The algorithm underlying the IBM is based on the dynamic interaction of these four elements in the spatial environment, with special consideration of mutation phenotypes. A set of stochastic differential equations is formulated to describe the evolution of the IBM in an equivalent way. The IBM is scaled up to a system of partial differential equations (PDE) representing the limiting behavior of the IBM as the number of cells and molecules approaches infinity. Both models (IBM and PDE) are numerically simulated with two kinds of initial conditions: homogeneous MM distribution and heterogeneous MM distribution. With both kinds of initial MM distributions spatial fingering patterns appear in the tumor growth. The output of both simulations is quite similar.

More information

Item ID: 2252
DC Identifier: http://oa.upm.es/2252/
OAI Identifier: oai:oa.upm.es:2252
DOI: 10.1016/j.crvi.2008.08.010
Official URL: http://www.elsevier.com/wps/find/journaldescription.cws_home/600306/description#description
Deposited by: Memoria Investigacion
Deposited on: 19 May 2010 12:19
Last Modified: 20 Apr 2016 11:59
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