2016
DOI: 10.1098/rsos.150431
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Simulated annealing approach to vascular structure with application to the coronary arteries

Abstract: Do the complex processes of angiogenesis during organism development ultimately lead to a near optimal coronary vasculature in the organs of adult mammals? We examine this hypothesis using a powerful and universal method, built on physical and physiological principles, for the determination of globally energetically optimal arterial trees. The method is based on simulated annealing, and can be used to examine arteries in hollow organs with arbitrary tissue geometries. We demonstrate that the approach can gener… Show more

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Cited by 24 publications
(50 citation statements)
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“…where i, j and k are voxel coordinates, S is the line segment corresponding to the vessel and D ijk is the distance map value, which is calculated from MRI data as discussed in the next section [6]. Cerebral arterioles with diameters less than ∼ 100µm are responsible for penetrating deep within cortical tissue [2].…”
Section: Exclusion Of Large Arteriesmentioning
confidence: 99%
See 2 more Smart Citations
“…where i, j and k are voxel coordinates, S is the line segment corresponding to the vessel and D ijk is the distance map value, which is calculated from MRI data as discussed in the next section [6]. Cerebral arterioles with diameters less than ∼ 100µm are responsible for penetrating deep within cortical tissue [2].…”
Section: Exclusion Of Large Arteriesmentioning
confidence: 99%
“…To computationally obtain globally optimised configurations of arteries, the authors recently proposed a novel Simulated Annealing Vascular Optimisation algorithm (SAVO) [6]. Advantages of this algorithm include the ability to identify the most efficient 'ideal' tree with minimal metabolic demand.…”
Section: Introductionmentioning
confidence: 99%
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“…Cardiac veins carry blood with a poor level of oxygen from the myocardium to the right atrium. The anatomy of the veins of the heart is quite variable [35].…”
Section: Behaviors Of Coronary Circulation Systemmentioning
confidence: 99%
“…CCO was recently extended to work on neural trees at the surface of the heart by Ulysses et al [24]. Another recent method has been proposed by Keelan et al [15], that also handles non convex territory for vascular networks. It minimizes pumping power and blood volume with a simulated annealing approach to generate left and right coronary models.…”
Section: Introductionmentioning
confidence: 99%