The geometric evolution of aortic dissections: Predicting surgical success using fluctuations in integrated Gaussian curvature
Fig 5
Universal Scaling of Aortic Size.
Data for 302 aortas, including non-pathologic (black circles), pathologic with failed TEVAR (light gray circles), and pathologic with successful TEVAR (dark gray circles) aortas are plotted. A. shows that parameterizations of aortic size (mm) including maximum aortic diameter (2Rm, red dashed line), mean radius (〈R〉, black solid line), median radius (, black dotted line), and mean inverse linearized aortic Casorati curvature (〈C1/2〉−1, black dashed line) are equivalent. Dimensionally scaled, aortic area (
, red dotted line) and volume (V1/3, red solid line) are also linear when plotted against ℓ = 2Rm. All size measures can be collapsed onto a single master curve (B.), proving that all aortas scale as generalized bent cylinders parameterizable by a single length scale ℓ.