Skip to main content
. Author manuscript; available in PMC: 2020 Apr 21.
Published in final edited form as: Acta Neurochir (Wien). 2020 Feb 1;162(3):553–566. doi: 10.1007/s00701-020-04234-8

Table 2.

Definitions of variables included in the models and coefficients for the fitted flow-independent model (model A). The column “response” refers for the hemodynamic to the type of response-variable (see Fig. 2)

Variable Type Definition Response Coefficient
age Patient Patient age / −0.0180
sex.F Patient Female patient / −0.1869
sex.M Patient Male patient / 0.1869
Avol Shape Aneurysm volume / 0
Asize Shape Aneurysm size = max. distance between any two points on the aneurysm surface / 0
Aarea Shape Aneurysm area / 0
Nsize Shape Max. distance between any two points on the neck surface / 0
Narea Shape Area of the neck surface / −0.4993
depth Shape / 0
AR Shape Aspect ratio = aneurysm depth/neck diameter / 0
Aheight Shape Max. normal distance of all points on aneurysm dome from aneurysm neck / 0
Awidth Shape Max. diameter of aneurysm slices parallel to aneurysm neck / −1.1558
HWR Shape Height to width ratio = aneurysm height/aneurysm width / 0.3583
Ndiam Shape Equivalent diameter of neck = 4*area/perimeter / 0
Aspect Shape Aspect ratio 2 = aneurysm height/neck diameter / 0
BF Shape Bottle neck factor = aneurysm width/neck diameter / 0
BL Shape Bulge location = Distance of plane with largest diameter from neck/height / 0.1624
Vdiam Shape Vessel diameter: diameter of nearest vessel from aneurysm neck / −1.714
SizeR Shape Size ratio = aneurysm size/vessel diameter / 0
VOR Shape Volume to ostium ratio = Aneurysm volume/Area of neck / −0.0841
CR Shape Convexity ratio = aneurysm volume/volume of aneurysm’s convex hull / 0
IPR Shape Isoperimetric ratio / 0
EI Shape Ellipticity inde / 0
NSI Shape Non-sphericity index / 5.4401
GAA Shape Area weighted average of Gaussian aneurysm surface curvature / −0.0050
MAA Shape Area weighted average of mean curvature / 0
GLN Shape L2-Norm of Gaussian curvature / 0
MLN Shape L2-Norm of mean aneurysm surface curvature / 6.3289
ICI Hemod. Inflow concentration index Linearity −0.0068
Mean 0.2211
Q Hemod. Mean inflow rate into aneurysm Linearity −1.0297
Mean 0
KE Hemod. Mean kinetic energy Linearity 0
Mean 0.0004
SR Hemod. Mean shear rate Linearity 0
Mean 0
VE Hemod. Mean velocity Linearity 0
Mean 0
VO Hemod. Mean vorticity Linearity 0
Mean 0
VD Hemod. Mean viscous dissipation Linearity 0
Mean 0
WSSmax Hemod. Maximum wall shear stress Linearity 0
Mean 0
WSSmin Hemod. Minimum wall shear stress Linearity −0.2260
Mean 0
WSSmean Hemod. Mean wall shear stress Linearity 0
Mean 0
LSA Hemod. Low shear area Linearity −0.3474
Mean 0
SCI Hemod. Shear concentration index Linearity −0.1698
Mean 0
WSSves Hemod. Mean wall shear stress in parent vessel Linearity 13.7839
Mean 0.0056
WSSnorm Hemod. Normalized WSS = WSSmean/WSSves Linearity 0
Mean 0
MWSSnorm Hemod. Maximum normalized WSS = WSSmax/WSSves Linearity −0.0165
Mean 0.0104
corelen Hemod. Vortex core line length (characterizes flow complexity) Linearity 0.1294
Mean 0
Vmax Hemod. Peak velocity Linearity 0
Mean 0.0010
position.ACA Location Anterior cerebral artery / 0.3429
position.ACOM Location Anterior communicating artery / 1.2983
position.BA-DIST-PROX Location Basilar artery other than tip / −0.1379
position.BA-TIP Location Tip of basilar artery / 0.4223
position.ICA-ACHOR Location Internal carotid artery - anterior choroidal / −0.3199
position.ICA-BIF Location Internal carotid artery bifurcation / −0.3582
position.ICA-CAV Location Cavernous internal carotid artery / −1.1614
position.ICA-OPH Location Internal carotid artery - ophthalmic / −0.7665
position.ICA-SHYP Location Superior hypophyseal segment internal carotid artery / −0.1910
position.MCA-BIF Location Middle cerebral artery bifurcation / 0.1154
position.MCA-DIST-PROX Location Middle cerebral artery other than bifurcation / −0.8805
position.PCOM Location Posterior communicating artery / 0.9078
position.VA Location Vertebral artery / 0.7287