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. 2022 Nov 14;24:59. doi: 10.1186/s12968-022-00893-x

Table 2.

Summary of 4D flow-derived metrics

Category Metric Definition Comment

Geometry &

Stiffness

PA volume, V (ml) Temporally averaged volume of the MPA, LPA, RPA branches over a cardiac cycle Internal diameters potentially influenced by proximal thrombus
PA area, A (cm2) Centerline-based cross-sectional slice located 50% down the length of the MPA, LPA, and RPA branches
Relative area change (Pulsatility) Inline graphic
Compliance (cm2/mmHg) Inline graphic Healthy PA compliance = 0.15 cm2/mmHg§
Distensibility (%/mmHg) Inline graphic Healthy PA distensibility = 3.1%/mmHg§
Velocity Flow Profile Centerline velocity (cm/s) Maximum velocity in the center 30% radius of a cross-sectional slice located 50% down the length of each branch.
Flow rate (L/min)

Inline graphic

Inline graphic is the velocity vector, Inline graphic is the surface normal vector, A is the area of the cross-sectional slice located 10% down the length of the MPA, LPA, and RPA

Acceleration ime ratio

Inline graphic

Inline graphic is the time between the end-systolic and end-diastolic timepoint

Secondary Flow Profile Fractional area of reverse flow

Areas where velocity is perpendicular or negative to the forward flow direction.

Inline graphic

Taken at a cross-sectional slice 50% down the length of the branch

Quantifies areas of recirculation, may correspond to large visual vortices
Vorticity, Inline graphic (1/s)

Inline graphic

Inline graphic is the spatial gradient, Inline graphic is the velocity vector, V is the volume of the branch; spatially averaged over the volume of the branch

Local rotation in a fluid flow including local shearing in space
Helicity density, Hd (m/s2)

Inline graphic

Amount of rotation parallel to the local velocity vector

Clockwise rotation when Inline graphic>0, counterclockwise rotation when Inline graphic<0
Volume fraction of positive helicity

Inline graphic

V is the volume of the branch

Helical flow index, HFI

Inline graphic

Absolute value of the cosine of the angle between the vorticity and velocity vector, measure of helicity intensity

Limit from 0 to 1
Dean number, De

Inline graphic

D is the diameter of the vessel, Inline graphic is the mean velocity (computed at a cross-sectional slice 50% down the length of the pulmonary trunk), Inline graphic is the density of blood (1.06 g/cm3), Inline graphic is the viscosity of blood (0.04 Poise), and Inline graphic is the radius of curvature of the vessel defined from the centerlines in the MPA, LPA, or RPA

Non-dimensional parameter of the inertial, centripetal, and viscous forces; tendency of Dean vortices to form in a curved vessel
Q-criterion

Inline graphic

Defines a vortex as a connected fluid region where the norm of the vorticity tensor, Inline graphic, outweighs the norm of the strain rate tensor, Inline graphic.

May not uniquely detect visual vortical regions
RV Function§§ % Predicted RV metrics Inline graphic Adjusted for differences in sex, age, weight, height

RVEF: a = 0.0706, b=-0.00771, c=-0.0782

 m = 75.19 (female), 71.52 (male)

RVEDV: a=-0.258, b = 1.582, c = 0.382

 m = 27.94 (female), 31.50 (male)

RVESV: a=-0.417, b = 1.501, c = 0.617

 m = 5.58 (female), 7.24 (male)

RVSV: a=-0.187, b = 1.574, c = 0.304

 m = 21.12 (female), 22.42 (male)

§Healthy PA compliance and distensibility from Sanz et al. [29]

§§RV metrics were adjusted for sex, age, weight, and height based on normalized equations from Kawut et al. [27]. RV, right ventricle, EF, ejection fraction, EDV, end-diastolic volume, ESV, end-systolic volume, SV, stroke volume, PA, pulmonary artery