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From the physical laws of tumor growth to modelling cancer processes

Brú Espino, Antonio and 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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Abstract

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.


Item Type:Article
Uncontrolled Keywords:traveling-wave solutions; mathematical-model; surface-diffusion; invasion; equation; interfaces; dynamics; systems; flow; tumor growth; dynamic scaling; evolution of interfaces; asymptotic behavior
Subjects:Sciences > Mathematics > Topology
ID Code:14864
Deposited On:18 Apr 2012 10:44
Last Modified:06 Feb 2014 10:10

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