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.

Nicolis, O., Kiseľák, J., Porro, F., Stehlík, M. (2017). Multi-fractal cancer risk assessment. STOCHASTIC ANALYSIS AND APPLICATIONS, 35(2), 237-256 [10.1080/07362994.2016.1238766].

Multi-fractal cancer risk assessment

PORRO, FRANCESCO;
2017

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.
Articolo in rivista - Articolo scientifico
diffusion on fractal; mammary cancer; Multifractality; robustness; wavelet multispectra;
diffusion on fractal; mammary cancer; Multifractality; robustness; wavelet multispectra; Statistics and Probability; Statistics, Probability and Uncertainty; Applied Mathematics
English
237
256
20
Nicolis, O., Kiseľák, J., Porro, F., Stehlík, M. (2017). Multi-fractal cancer risk assessment. STOCHASTIC ANALYSIS AND APPLICATIONS, 35(2), 237-256 [10.1080/07362994.2016.1238766].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/161369
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