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Fractal analysis and tumour growth

Brú Espino , Antonio and Casero Díaz-Cano, David and De Franciscis, Sebastiano and Herrero, Miguel A. (2008) Fractal analysis and tumour growth. Mathematical and Computer Modelling, 47 (5-6). pp. 546-559. ISSN 0895-7177

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Official URL: http://www.sciencedirect.com/science/article/pii/S0895717707001847

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Abstract

Tumour growth can be described in terms of mathematical models from different points of view due to its multiscale nature. Dynamic scaling is a heuristic discipline that exploits the geometrical features of growing fronts using different concepts from the theory of stochastic processes and fractal geometry. This work is concerned with some problems that arise in the study of tumour-host interfaces. The behaviour of their fluctuations leads to some stochastic evolution equations, which are studied here in the radial symmetry case. Some questions concerning the dynamic scaling of these models and their comparison with experimental results are addressed.

Item Type:Article
Uncontrolled Keywords:nonequilibrium growth; growing interfaces; models; dynamics; surface; tumour growth; fractal analysis; dynamic scaling; stochastic differential equations
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:14833
Deposited On:18 Apr 2012 09:48
Last Modified:06 Feb 2014 10:10

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