Multi-fractal cancer risk assessment. Issue 2 (4th March 2017)

• Record Type: Journal Article
• Authors: Nicolis, Orietta; Kiseľák, Jozef; Porro, Francesco; Stehlík, Milan
• Is Part Of: Stochastic analysis and applications. Volume 35:Issue 2(2017)
• Page Start: 237
• Page End: 256
• Publication Date: 2017-03-04
• Subjects: Multifractality -- robustness -- diffusion on fractal -- mammary cancer -- wavelet multispectra; Primary 62K05, 62K15 -- Secondary 62M30; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2016.1238766
• Languages: English
• ISSNs: 0736-2994

Abstract

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.