TY - JOUR
T1 - Multi-fractal cancer risk assessment
AU - Nicolis, Orietta
AU - Kiseľák, Jozef
AU - Porro, Francesco
AU - Stehlík, Milan
N1 - Funding Information:
Milan Stehl?k acknowledges FONDECYT Regular, No1151441. Jozef Kise??k was partially supported by grant VEGA M? SR 1/0344/14. This work was also supported by the Slovak Research and Development Agency under the contract No. SK-AT-2015-0019.
Publisher Copyright:
© 2017 Taylor & Francis Group, LLC.
PY - 2017/3/4
Y1 - 2017/3/4
N2 - 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.
AB - 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.
KW - diffusion on fractal
KW - mammary cancer
KW - Multifractality
KW - robustness
KW - wavelet multispectra
UR - http://www.scopus.com/inward/record.url?scp=85002169891&partnerID=8YFLogxK
U2 - 10.1080/07362994.2016.1238766
DO - 10.1080/07362994.2016.1238766
M3 - Article
AN - SCOPUS:85002169891
SN - 0736-2994
VL - 35
SP - 237
EP - 256
JO - Stochastic Analysis and Applications
JF - Stochastic Analysis and Applications
IS - 2
ER -
