Fractal analysis and tumour growth

A. Brú; D. Casero; S. de Franciscis; M. A. Herrero

doi:10.1016/j.mcm.2007.02.033

Fractal analysis and tumour growth

A. Brú, D. Casero, S. de Franciscis, M. A. Herrero

Istituto Europeo di Oncologia

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	546-559
Number of pages	14
Journal	Mathematical and Computer Modelling
Volume	47
Issue number	5-6
DOIs	https://doi.org/10.1016/j.mcm.2007.02.033
Publication status	Published - Mar 2008

Keywords

Dynamic scaling
Fractal analysis
Stochastic differential equations
Tumour growth

ASJC Scopus subject areas

Information Systems and Management
Control and Systems Engineering
Applied Mathematics
Computational Mathematics
Modelling and Simulation
Computer Science (miscellaneous)

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AU - Brú, A.

AU - Casero, D.

AU - de Franciscis, S.

AU - Herrero, M. A.

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N2 - 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.

AB - 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.

KW - Dynamic scaling

KW - Fractal analysis

KW - Stochastic differential equations

KW - Tumour growth

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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

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Fractal analysis and tumour growth

Abstract

Keywords

ASJC Scopus subject areas

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