Multi-fractal cancer risk assessment

Orietta Nicolis, Jozef Kiseľák, Francesco Porro, Milan Stehlík

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

From fractal point of view, there exist two types of cancer tissues. Those having multifractal (or fractal) structure, and the rest, for example, Wilms tumors. To support the diagnostics, we shall be aware of this differentiation and we shall use robust methods for measuring of multifractality. The main reason a robust discrimination is needed is the simple fact that histopathological discrimination between mastopathy and cancer is difficult in many cases. As we show in this article, using spectra or energy for multifractal model can be of help. However, it needs robustness since many mastopathic tissues are mimicking cancer ones. This article tackles this multidisciplinary topic. In particular, we provide diffusion model for metabolic heat for both cancer and mastopathy related tissues and novel concept of metabolism related energy.

Original languageEnglish
Pages (from-to)237-256
Number of pages20
JournalStochastic Analysis and Applications
Volume35
Issue number2
DOIs
Publication statusPublished - 4 Mar 2017

Keywords

  • diffusion on fractal
  • mammary cancer
  • Multifractality
  • robustness
  • wavelet multispectra

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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