Key result
In vivo vascular measurements show radii scaling matches theoretical predictions while length scaling diverges significantly.
Observational (n=20)
Automated extraction of vascular network properties from 3D MRA demonstrates that current biological scaling theories do not accurately predict in vivo vessel lengths.
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Challenges length-based vascular scaling theories in clinical imaging; leaves open empirical model refinement before adoption.
Scientists have long sought to understand how vascular networks supply blood and oxygen to cells throughout the body. Recent work focuses on principles that constrain how vessel size changes through branching generations from the aorta to capillaries and uses scaling exponents to quantify these changes. Prominent scaling theories predict that combinations of these exponents explain how metabolic, growth, and other biological rates vary with body size. Nevertheless, direct measurements of individual vessel segments have been limited because existing techniques for measuring vasculature are invasive, time consuming, and technically difficult. We developed software that extracts the length, radius, and connectivity of in vivo vessels from contrast-enhanced 3D Magnetic Resonance Angiography. Using data from 20 human subjects, we calculated scaling exponents by four methods-two derived from local properties of branching junctions and two from whole-network properties. Although these methods are often used interchangeably in the literature, we do not find general agreement between these methods, particularly for vessel lengths. Measurements for length of vessels also diverge from theoretical values, but those for radius show stronger agreement. Our results demonstrate that vascular network models cannot ignore certain complexities of real vascular systems and indicate the need to discover new principles regarding vessel lengths.
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Newberry et al. (2015) conducted an observational in Clinically suspected supraaortic arterial occlusive disease (n=20). Automated measurements of vascular networks (angicart software) vs. Theoretical scaling models (e.g., WBE model, Murray's Law) was evaluated. Automated measurements of in vivo vascular networks from 20 human subjects demonstrated that vessel radii scaling exponents approximate theoretical predictions, whereas vessel length scaling exponents diverge significantly from existing models.
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