FRAKTAL TAHLILLAR ASOSIDA BEMORLARDAGI STENOZ KASALLIKLARINI TASHXISLASH VA YURAK QON TOMIR TIZIMLARINING GEOMETRIK MODELINI ISHLAB CHIQISH

Mualliflar

  • Shaxzoda Anarova
  • Jamoliddin Jabbarov
  • Dilrabo Boliyeva

Kalit so'zlar

https://doi.org/10.47390/ts-v4i1y2026N02

Kalit so'zlar

fraktal geometriya, yurak-qon tomir tizimi, Murray qonuni, geometrik modellashtirish, stenoz diagnostikasi.

Annotasiya

Ushbu maqola yurak-qon tomir tizimining murakkab tuzilmasini fraktal geometriya va matematik modellashtirish asosida o‘rganishga bag‘ishlangan. Ishda qon tomir tarmoqlarining o‘z-o‘ziga o‘xshash fraktal xususiyatlari hamda ularning geometrik parametrlaridagi o‘zgarishlar sog‘lom va patologik holatlar kesimida tahlil qilindi. Qon tomirlar tarmoqlanishi Murray qonuni asosida modellashtirilib, real angiografik ma’lumotlar yordamida stenoz holatlarida ushbu qonundan sezilarli chetlanishlar aniqlanishi ko‘rsatildi. Olingan natijalar yurak-qon tomir kasalliklarini miqdoriy baholash, erta diagnostika qilish hamda raqamli tibbiyot tizimlarini takomillashtirish uchun muhim ilmiy va amaliy ahamiyatga ega ekanligi koʻrsatilgan.

Manbalar

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3. J. W. Kantelhardt, S. A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, and H. E. Stanley, “Multifractal detrended fluctuation analysis of nonstationary time series,” Physica A, vol. 316, no. 1–4, pp. 87–114, 2002.

4. C. D. Murray, “The physiological principle of minimum work,” Proceedings of the National Academy of Sciences, vol. 12, no. 3, pp. 207–214, 1926.

5. G. B. West, J. H. Brown, and B. J. Enquist,“A general model for the origin of allometric scaling laws in biology,” Science, vol. 276, no. 5309, pp. 122–126, 1997.

6. A. L. Goldberger, L. A. N. Amaral, J. M. Hausdorff, P. C. Ivanov, C.-K. Peng, and H. E. Stanley, “Fractal dynamics in physiology: Alterations with disease and aging,” Proceedings of the National Academy of Sciences, vol. 99, suppl. 1, pp. 2466–2472, 2002.

7. Y. C. Fung, Biomechanics: Circulation, 2nd ed. New York, NY, USA: Springer, 1997.

8. A. C. Guyton and J. E. Hall, Textbook of Medical Physiology, 13th ed. Philadelphia, PA, USA: Elsevier, 2016.

9. T. Arts, P. Bovendeerd, F. Prinzen, and R. Reneman, “Modeling the mechanics of the heart,” Journal of Biomechanics, vol. 36, no. 5, pp. 731–736, 2003.

10. Moxod Mexraj, Ahmed Komol and Jabbarov Jamoliddin Sindorovich “CNN and Bidirectional LSTM with Attention to Linguistic Context for Fake News Classification”," Journal of Nonlinear and Convex Analysis Volume 26, Number 4, 2025, pages 923–940. http://yokohamapublishers.jp/online-p/JNCA/Open/vol26/jncav26n4p923.pdf

11. Shakhzoda Anarova, Jamoliddin Jabbarov, Abror Rustamov. Determination of the fractal dimension of the damaged part of the human brain. AIP Conf. Proc. 3147, 040007 (2024) https://doi.org/10.1063/5.0210294

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Yuborilgan

2026-01-30

Nashr qilingan

2026-01-31

Qanday ko'rsatish

Anarova, S., Jabbarov, J., & Boliyeva, D. (2026). FRAKTAL TAHLILLAR ASOSIDA BEMORLARDAGI STENOZ KASALLIKLARINI TASHXISLASH VA YURAK QON TOMIR TIZIMLARINING GEOMETRIK MODELINI ISHLAB CHIQISH. Techscience Uz - Topical Issues of Technical Sciences, 4(1), 12–18. https://doi.org/10.47390/ts-v4i1y2026N02

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