Universidad Complutense de Madrid
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From the physical laws of tumor growth to modelling cancer processes



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Bru Espino, Antonio y Herrero, Miguel A. (2006) From the physical laws of tumor growth to modelling cancer processes. Mathematical Models and Methods in Applied Sciences, 16 (7S). pp. 1199-1218. ISSN 0218-2025

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URL Oficial: http://www.worldscinet.com/m3as/16/preserved-docs/16supp01/S0218202506001510.pdf


This work is concerned with a model which has been proposed to describe the growth of solid tumors. More precisely, the model under consideration provides a procedure to extract information about the growth dynamics from the analysis of the geometrical properties of the interface tumor-host tissue. In particular, it is suggested that the tumor boundary should evolve according to some stochastic evolution equation. This is herein compared with other dynamic equations related to the growth of rough surfaces, and a number of questions concerning the asymptotics of the corresponding solutions (and its relation to that of their deterministic counterparts) are discussed.

Tipo de documento:Artículo
Palabras clave:traveling-wave solutions; mathematical-model; surface-diffusion; invasion; equation; interfaces; dynamics; systems; flow; tumor growth; dynamic scaling; evolution of interfaces; asymptotic behavior
Materias:Ciencias > Matemáticas > Topología
Código ID:14864
Depositado:18 Abr 2012 10:44
Última Modificación:18 Nov 2016 11:40

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