Fractal analysis and tumour growth

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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)546-559
Number of pages14
JournalMathematical and Computer Modelling
Volume47
Issue number5-6
DOIs
Publication statusPublished - 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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