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Table 1 List of the quantitative microvessel morphological parameters

From: Volumetric imaging and morphometric analysis of breast tumor angiogenesis using a new contrast-free ultrasound technique: a feasibility study

Biomarkers

Definition and calculation

NB

Numbers of branch points: defined as any node that is connected to three or more vessel segments

NV

Number of vessel segments

VD

Vessel density: defined as the proportion of vessel area with blood flow over the total area measured

D (mm)

Vessel diameter (Dmean, Dmax): defined as two times of the minimum distance between the vessel centerline and the vessel border

τ

Vessel tortuosity (τmean, τmax): Distance metric measures vascular tortuosity

MD

Murray’s deviation: diameter mismatch, defined as the deviation from Murray's law, increases in the vasculature network of malignant tumors

mvFD

Microvessel fractal dimension: A unit-less geometrical feature that is a marker of microvascular complexity

BA (°)

Bifurcation angle: refers to the angle between two daughter vessels

  1. Note ‒ Subscript mean and max indicate the corresponding mean and maximum value, respectively