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Simulated annealing approach to vascular structure with application to\n the coronary arteries

2014/03/25 by Jonathan Keelan, Keelan, Jonathan, Emma M.L. Chung +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #Angiogenesis and VEGF in Cancer #Biological Physics (physics.bio-ph) #Cancer, Hypoxia, and Metabolism #Congenital heart defects research #FOS: Biological sciences #FOS: Physical sciences #Mathematical Biology Tumor Growth #Tissues and Organs (q-bio.TO)

paper · pdf · doi:10.48550/arxiv.1403.6450

openalex publication_date 2014/03/25 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

Does the complex processes of angiogenesis during organism development\nultimately lead to a near optimal coronary vasculature in the organs of adult\nmammals? We examine this hypothesis using a powerful and universal method,\nbuilt on physical and physiological principles, for the determination of\nglobally energetically optimal arterial trees. The method is based on simulated\nannealing, and can be used to examine arteries in hollow organs with arbitrary\ntissue geometries. We demonstrate that the approach can generate in-silico\nvasculatures which closely match porcine anatomical data for the coronary\narteries on all length scales, and that the optimised arterial trees improve\nsystematically as computational time increases. The method presented here is\ngeneral, and could in principle be used to examine the arteries of other\norgans. Potential applications include improvement of medical imaging analysis\nand the design of vascular trees for artificial organs.\n

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