DIAGNOSIS OF STENOTIC DISEASES IN PATIENTS BASED ON FRACTAL ANALYSIS AND DEVELOPMENT OF A GEOMETRIC MODEL OF THE CARDIOVASCULAR SYSTEM
DOI:
https://doi.org/10.47390/ts-v4i1y2026N02Keywords:
fractal geometry, cardiovascular system, Murray's law, geometric modeling, stenosis diagnosis.Abstract
This article is dedicated to studying the complex structure of the cardiovascular system based on fractal geometry and mathematical modeling. The study analyzed the self-similar fractal properties of vascular networks and changes in their geometric parameters in both healthy and pathological conditions. The branching of blood vessels was modeled based on Murray's law, and using real angiographic data, significant deviations from this law were identified in cases of stenosis. The results obtained were shown to have important scientific and practical significance for the quantitative assessment of cardiovascular diseases, early diagnosis, and the improvement of digital medical systems.
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