A fully continuous individual-based model of tumor cell invasion

Gómez-Mourelo, Pablo; Sánchez Mañes, Eva María; Casasús Latorre, Pedro Luis y 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.

Descripción

Título: A fully continuous individual-based model of tumor cell invasion
Autor/es:
  • Gómez-Mourelo, Pablo
  • Sánchez Mañes, Eva María
  • Casasús Latorre, Pedro Luis
  • Webb, F.Glenn
Tipo de Documento: Artículo
Título de Revista/Publicación: Comptes Rendus Biologies
Fecha: Enero 2008
Volumen: 331
Materias:
Palabras Clave Informales: Individual-based models; computational mathematics
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Matemática Aplicada a la Ingeniería Industrial [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 2252
Identificador DC: http://oa.upm.es/2252/
Identificador OAI: oai:oa.upm.es:2252
Identificador DOI: 10.1016/j.crvi.2008.08.010
URL Oficial: http://www.elsevier.com/wps/find/journaldescription.cws_home/600306/description#description
Depositado por: Memoria Investigacion
Depositado el: 19 May 2010 12:19
Ultima Modificación: 20 Abr 2016 11:59
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