DETERMINING FRACTAL DEMINSION USING THE MASS-RADIUS METHOD

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Z.E. Ibrohimova 1 , A.A. Nomozov 2, J.U. Qarshiboyev3

Abstract

This Mass-Radius (MR) method in the article using eye retinal blood​ veins network fractal measure of determination mathematician basics and practical application opportunities studied. Retinal vascular of the system geometric structure human in the body microcirculator system status reflection provider complicated is a biological model. This network fractal features analysis to do through many ophthalmological and systematic of diseases early stages determination possible. Mass-Radius method from the center to the periphery directed branching density to evaluate based on the retinal structures to himself the degree of self-similarity logarithmic mass-radius relationship through quantitative represents. Fractal size (Dₘ) of the image central from the point by radius from pixels number growth legality mathematician in a way describes . This retinal blood method veins network complexity in evaluation high accuracy , stability and to sensitivity has diseases​​ diagnostics for promising approach as This is considered. approach in ophthalmology digital the images analysis to do process automation, human factor reduce and retinal diseases early stages determination opportunities to expand service does.


 

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References

Tălu, Ş. (2012). Mass-radius method for the fractal analysis of the retinal vascular network. Human & Veterinary Medicine, 4 (2), 92–96.

Liew, G., Wang, JJ, Mitchell, P., & Wong, TY (2008). Retinal vascular fractal dimension: a potential systemic biomarker for cardiovascular disease. Atherosclerosis, 201 (2), 223–230.

Bhuiyan, A., Hussain, M., & Wong, TY (2017). Fractal analysis for the quantification of retinal vascular tortuosity. Journal of Medical oath Biological Engineering, 37 (4), 514–524.

Sim, DA, Keane, PA, Tufail, A., & Egan, CA (2015). The effects of diabetic retinopathy and its treatment on the fractal dimension of the retinal vasculature. Investigative Ophthalmology & Visual Science, 56 (7), 2999–3006.

Nittala, MG, Velaga, SB, Sadda , SR, & Kramer, BC (2019). A comparison of fractal dimension and lacunarity of the retinal microvasculature in diabetic and non-diabetic subjects. PLoS One , 14 (3), e0213879.

Yusupov, AK, & Ismoilov, ST (2023). Sugar diabetes with sick retinal vessels in patients fractal of the scale clinical importance . Samarkand State Medicine University Newsletter, (1) , 78–84.

Azemin, MZC, Kumar, DK, Wong, TY, & Kawasaki, R. (2018). Age-related macular degeneration and the fractal dimension of retinal vessels. Scientific Reports, 8 (1), 1–8.

Antonetti, DA, Klein, R., & Gardner, TW (2012). Diabetic retinopathy. New England Journal of Medicine, 366 (13), 1227–1239.