INSON QON TOMIRLARINING FRAKTAL XUSUSIYATLARI: MATEMATIK YONDASHUV
Keywords:
fraktal geometriya, qon tomirlar tizimi, fraktal o‘lcham, matematik yondashuv, Box-counting metodi, Hausdorff o‘lchami, ateroskleroz, kapillyarlar, arteriyalarAbstract
Ushbu maqolada inson qon tomirlarining fraktal xususiyatlari matematik yondashuvlar yordamida o‘rganilgan. Fraktal geometriya, ya’ni o‘z-o‘ziga o‘xshash shakllar va murakkab tuzilmalarni tahlil qiluvchi nazariya, qon tomirlarining murakkab tarmog‘ini tahlil qilishda qo‘llanilgan. Arteriya va kapillyar kabi turli qon tomirlarining fraktal o‘lchamlari Box-counting va Hausdorff metodlari yordamida aniqlangan. Natijalar qon tomir tizimining tuzilish murakkabligini va ateroskleroz kabi kasalliklarni erta aniqlashda ushbu yondashuvning ahamiyatini ko‘rsatib beradi. Ushbu tadqiqot qon tomir tizimining arxitekturasini chuqurroq tushunishga va uning klinik amaliyotdagi qo‘llanilishiga hissa qo‘shadi.
References
1. Mandelbrot, B. B. (1983). The Fractal Geometry of Nature. W.H. Freeman and Company.
2. Falconer, K. (2003). Fractal Geometry: Mathematical Foundations and Applications. John Wiley & Sons.
3. Peitgen, H.-O., Jürgens, H., & Saupe, D. (1992). Chaos and Fractals: New Frontiers of Science. Springer.
4. Sachs, L. (2018). Applied Statistics: A Handbook of Techniques. Springer.
5. Bunde, A., & Havlin, S. (1996). Fractals and Disordered Systems. Springer.
6. Drossel, B. (2004). Fractals and Scale-Invariance. Cambridge University Press.
7. Gao, Z., & Zhang, C. (2017). Fractal Analysis of Complex Networks. Springer.
8. Katz, S. (2015). Fractal Analysis for the Measurement of Geometric Complexity. Wiley.
9. Zaynidinov X.N., Baxromov S.A., Azimov B.R. Biomedisina signallarni interpolyatsion kubik splayn modelini qurish. Muxammad al-Xorazmiy avlodlari, № 4 (10), dekabr 2019, 14-17 b.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Baxromov Alisher Baxtiyor o‘g‘li
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
All Rights Reserved.
