GE Logiq 3 Instruction Manual

							Measurement Formulas
LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual 2-15
Direction 5122542-100 Rev. 2 .
Table 2-3: Volume Calculation Formulas
Calc NameInput MeasurementsFormula
Volume (spherical)
one distance
Vo l [ m l ] = (π/6)xd^3
Volume (prolate spheroidal) two distances, d1>d2 Vol[ml]= (
π/6)xd1xd2^2
Volume (prolate spheroidal) one ellipse, d1 major axis, d2  minor axis Vol[ml]= (
π/6)xd1xd2^2
Volume (spheroidal) three distances
Vol[ml]= (
π/6)xd1xd2xd3
Volume (spheroidal) one distance d1, one ellipse, d2 
major axis, d3 minor axis Vol[ml]= (
π/6)xd1xd2xd3
Table 2-4: Bladder Volume Calculation Formulas
Calc NameInput MeasurementsFormula
Volume (bladder)
three distances
Vol[ml]= (π/6)xd1xd2xd3
Volume (bladder 0.7) three distances Vol[ml]= 0.7xd1xd2xd
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							Measurement Formulas
2-16LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual
Direction 5122542-100 Rev. 2
Formulas–OB
Table 2-5: OB Calculation Formulas
Calc 
Mnemonic
Calc Name
Input 
Measurements
Formula
Author 
Reference
AC Abdominal 
Circumference circumference by 
trace, ellipse, circle 
or two distances AC=13.3+1.61 (GA) -
0.00998 (GA)2Hadlock et al, 
Radiology, 
152:497-501, 
1984
BPD Biparietal 
Diameter one distance BPD = -3.08+0.41 (GA) - 
0.000061 (GA)
3
CRLCrown Rump 
Length one distance CRL=1.684969+ 
0.315646xd1+ 
0.049306xd1^2+ 
0.004057xd1^3+ 
0.000120456xd1^4
FL Femur Length one distance FL = -3.91 + 0.427 (GA) - 
0.0034 (GA)
2
GSGestational Sac three distances GS [wk] = 1.42450142 * 
(d1+d2+d3)/3+ 3.6225
HC Head 
Circumference circumference by 
trace, ellipse, circle 
or two distances HC=-11.48 + 1.56 (GA) - 
0.0002548 (GA)
3
HC
Head 
Circumference one ellipse
HC [mm] = 2.325 * (BPD 
[mm]^2 + OFD [mm]^2)^0.5 Hansmann, 
Ultrasound 
Diagnosis in 
Obstetrics and 
Gynecology, 
438-9, 1985
EF Ejection 
Fraction two distances on M-
Mode (End-diastolic 
dimension and End-
systolic dimension 
on M-Mode) EF = (1 - Ds^3 / Dd^3) n/a
ARM_Rev_2.book  Page 16  Monday, March 15, 2010  2:19 PM 
						

							Measurement Formulas
LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual 2-17
Direction 5122542-100 Rev. 2 Table 2-6: CUA Hadlock Formulas
Calc 
MnemonicCalc 
Name
Formula
Author 
Reference
CUAaComposite 
Ultrasound 
Age 1. CUA (BPD) = 9.54 + 1.482 * BPD + 0.1676 * BPD2
2. CUA (HC) = 8.96 + 0.540 * HC + 0.0003 * HC3
3. CUA (AC) = 8.14 + 0.753 * AC + 0.0036 * AC2
4. CUA (FL) = 10.35 + 2.460 * FL + 0.170 * FL2
5. CUA (BPD, HC) = 10.32 + 0.009 * HC2 + 1.3200 * 
BPD + 0.00012 * HC3
6. CUA (BPD, AC) = 9.57 + 0.524 * AC + 0.1220 * BPD2
7. CUA (BPD, FL) = 10.50 + 0.197 * BPD * FL + 0.9500  * FL + 0.7300 * BPD
8. CUA (HC, AC) = 10.31 + 0.012 * HC
2 + 0.3850 * AC
9. CUA (HC, FL) = 11.19 + 0.070 * HC * FL + 0.2630 * 
HC
10. CUA (AC, FL) = 10.47 + 0.442 *AC + 0.3140 * FL
2 -
0.0121 * FL3
11. CUA (BPD, HC, AC) = 10.58 + 0.005 * HC2 + 0.3635 
* AC + 0.02864 * BPD * AC
12. CUA (BPD, HC, FL) = 11.38 = 0.070 * HC * FL +  0.9800 * BPD
13. CUA (BPD, AC, FL) = 10.61 + 0.175 * BPD * FL + 
0.2970 * AC + 0.7100 * FL
14. CUA (HC, AC, FL) = 10.33 + 0.031 * HC * FL +  0.3610 * HC + 0.0298 * AC * FL
15. CUA (BPD, HC, AC, FL) = 10.85 + 0.060 * HC * FL +  0.6700 * BPD + 0.1680 * AC Hadlock, 
Radiology, 
1984 152:497-
501
a.Formulas are used only if Hadlock HC, FL, AC an d BPD are used and CUA is selected as the preset
in the CUA/AUA for Hadlock preset in the System M&A Preset Menu. If other authors are used, CUA
automatically changes to AUA and an average value is displayed.
Table 2-7: EFW Calculation Formulas
Calc 
Mnemonic
Calc Name
Input 
Measurements
Formula
Author 
Reference
EFW Estimated Fetal 
Weight AC and HC
EFW [kg] = 10^ 
(1.182+(0.0273*HC 
[cm])+(0.07057*AC [cm] - 
(0.00063*AC [cm]^2)-
(0.0002184*AC [cm] * HC 
[cm])) Hadlock, 
Radiology, 
150:535, 1984
EFW Estimated Fetal 
Weight BPD, AC, and FL EFW [g]=10^(1.335-
(0.0034*AC [cm] * FL [cm]) + 
(0.0316 * BPD [cm]) + 
(0.0457 * AC [cm]) + (0.1623 
* FL [cm] Hadlock, 
AJOG, 
151:333, 1985
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							Measurement Formulas
2-18LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual
Direction 5122542-100 Rev. 2
EFWEstimated Fetal 
Weight AC, HC, and FL EFW [g]=10^(1.326-
(0.00326 * AC [cm] * FL 
[cm]) + (0.0107 * HC [cm]) + 
(0.0438 * AC [cm]) + (0.158 
* FL [cm])) Hadlock, 
AJOG, 
151:333, 1985
EFW Estimated Fetal 
Weight AC, HC, BPD, FL EFW [g] = 10^(1.3596- 
(0.00386 * AC [cm] * FL 
[cm]) + (0.0064 * HC [cm]) + 
(0.00061 * BPD [cm] * AC 
[cm]) + (0.0424 * AC [cm]) + 
(0.174 * FL [cm])) Hadlock, 
AJOG, 
151:333, 1985
EFW Estimated Fetal 
Weight AC and FL
EFW [g] = 10^(1.304 + 
0.05281 * AC [cm] + 0.1938 
* FL [cm] - 0.004 * AC [cm] * 
FL [cm]) Hadlock, 
Radiology, 
150:535, 1984
EFW Estimated Fetal 
Weight EFW [g] = -3200.40479 + 
157.07186 * AC [cm] + 
15.90391 * BPD [cm]^2Merz
EFW Estimated Fetal 
Weight EFW [g] = 0.515263 -
0.105775 * BPD [mm] + 
(0.000930707 * BPD [mm]^2 
+ 0.0649145 * TAD [mm] - 
0.00020562 * TAD [mm]^2German
EFW Estimated Fetal 
Weight AC and BPD EFW [kg] = 10^(-1.7492 + 
0.166 * BPD [cm] + 0.046 * 
AC [cm] - 2.646 * AC [cm] * 
BPD [cm]/1000) Shepard, 
AJOG, 142:47, 
1982
EFW Estimated Fetal 
Weight BPD [cm] and 
AC [cm] EFW [g] = 
10^(1.7288+0.09184 * BPD 
[cm] + 0.02581 * AC [cm] + 
0.00011 * BPD [cm] * AC 
[cm]) Shepard/
Warsoff
EFW Estimated Fetal 
Weight BPD [cm] and 
AC [cm] EFW [g] =10^(3-1.7492 + 
(0.166 * BPD [cm]) + (0.04 * 
A [cm]) - (0.002646 * AC 
[cm] * BPD [cm])) Richards/
Berkowitz
EFW Estimated Fetal 
Weight EFW [g] = 1.07 * BPD 
[cm]^3 + 3.42 * APTD [cm] * 
TTD [cm] * FL [cm]Tokyo 
University
EFW Estimated Fetal 
Weight BPD, AxT, FL [cm] EFW1 [g] =1.07 * BPD 
[cm]^3 + 3.42 * AxT [cm2] * 
FL [cm] Tokyo 
Shinozuka
Table 2-7: EFW Calculation Formulas (Continued)
Calc 
Mnemonic
Calc Name
Input 
Measurements
Formula
Author 
Reference
ARM_Rev_2.book  Page 18  Monday, March 15, 2010  2:19 PM 
						

							Measurement Formulas
LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual 2-19
Direction 5122542-100 Rev. 2 Amniotic Fluid
Index (AFI) The normal values are considered to be:
36-40 weeks
0-5 cm = very low
5.1-8.0 cm = low
8.1 - 18.0 cm = normal
>18.0 = high
Dr. Rutherford/Dr. Phelan, 
Obstetrics and Gynecology , Volume 
70, No. 3, Part 1, p.353-6, Sept. 1987.
28-40 weeks
15.0 cm = average
>20.0 - 24.0 = hydramnios

						

							Measurement Formulas
2-20LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual
Direction 5122542-100 Rev. 2
Formulas–GYN 
Table 2-8: GYN Calculation Formulas
Calc 
Mnemonic
Calc Name
Input 
Measurements
Formula
Ut-L Uterine Length one distanceUt-L[cm or mm]=d1
Ut-H Uterine Height one distanceUt-H[cm or mm]=d1
Ut-W Uterine Width one distanceUt-W[cm or mm]=d1
Ut-Volume Uterine Volume Ut-L, Ut-H, Ut-W Ut-Volume=0.5236 x 
Ut-L[cm or mm] x 
Ut-H[cm or mm] x 
Ut-W[cm or mm]
UtPFD Uterus Portio-Fundus 
Distance one distance
UtAP Anterior-Posterior Uterus 
Diameter one distance
UtQ Transverse Uterus 
Diameter one distance
Endo Endometrium Thickness one distance Endo[cm or mm]=d1
Lt. Ov-L Left Ovarian Length one distance Lt. Ov-L[cm or mm]=d1
Lt. Ov-H Left Ovarian Height one distance Lt. Ov-H[cm or mm]=d1
Lt. Ov-W Left Ovarian Width one distance Lt. Ov-W[cm or mm]=d1
Lt. Ov-Volume Left Ovarian Volume Lt. Ov-L, Lt. Ov-H,  Lt. Ov-WLt. Ov-Volume=0.5236 x 
Lt. Ov-L[cm or mm] x 
Lt. Ov-H[cm or mm] x 
Lt. Ov-W[cm or mm]
Rt. Ov-L Right Ovarian Length one distance Rt. Ov-L[cm or mm]=d1
Rt. Ov-H Right Ovarian Height one distance Rt. Ov-H[cm or mm]=d1
Rt. Ov-W Right Ovarian Width one distance Rt. Ov-W[cm or mm]=d1
Rt. Ov-Volume Right Ovarian Volume Rt. Ov-L, Rt. Ov-H,  Rt. Ov-WRt. Ov-Volume=0.5236 x 
Rt. Ov-L[cm or mm] x 
Rt. Ov-H[cm or mm] x 
Rt. Ov-W[cm or mm]
Lt. Ov-RI Left Ovarian Vessel  Resistive Index two Doppler blood 
flow peak velocities
Lt. Ov-RI= (V
max-Vdiastole)/Vmax
a
Ut-RI
Uterine Vessel Resistive 
Index two Doppler blood 
flow peak velocities
Ut-RI= (Vmax-Vdiastole)/Vmax
a
Rt. Ov-RI Right Ovarian Vessel 
Resistive Index two Doppler blood 
flow peak velocitiesRt. Ov-RI= (Vmax-Vdiastole)/
V
max a
ARM_Rev_2.book  Page 20  Monday, March 15, 2010  2:19 PM 
						

							Measurement Formulas
LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual 2-21
Direction 5122542-100 Rev. 2
LtOvFo[ml] Left Ovary Follicles One distancebD1[cm]3 x π/6
Two distances
bD1[cm]2 x D2x[cm] π/6 
                     : (D1 
						

							Measurement Formulas
2-22LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual
Direction 5122542-100 Rev. 2
Formulas–Vascular
Table 2-9: Vascular Calculation Formulas
Calc 
Mnemonic
Calc NameInput MeasurementsFormula
RT ECA Right External Carotid Artery 
Ve l o c i t y one Doppler blood flow 
peak velocityRT ECA=v1
[cm/s or m/s]
RT CCA Right Common Carotid Artery  Ve l o c i t y one Doppler blood flow 
peak velocityRT CCA=v1
[cm/s or m/s]
RT BIFURC Right Carotid Bifurcation  Ve l o c i t y one Doppler blood flow 
peak velocityRT BIFURC=v1
[cm/s or m/s]
RT ICA Right Internal Carotid Artery  Ve l o c i t y one Doppler blood flow 
peak velocityRT ICA=v1
[cm/s or m/s]
RT ICA/CCA Right Internal Carotid Artery  Velocity/Common Carotid Artery 
Velocity Ratio two Doppler blood flow 
peak velocities
RT ICA/CCA=V
ICA/
V
CCA
LT  E C A ,  
LT  C C A ,  
LT BIFURC, 
LT  I C A ,  
LT ICA/CCA Same as above, for Left Carotid 
Artery
Same as above
Same as above
A/B Ratio Velocities Ratio two Doppler blood flow 
peak velocities A/B=|V
1/V2|
% Stenosis Stenosis Ratio two areas (by ellipse,  trace, 
circle or distance)% Stenosis=[1-
(A
residual/ Alumen)]x100
S/D Ratio Systolic Velocity/Diastolic  Velocities Ratio two Doppler blood flow 
peak velocities
S/D=|V
systole/Vdiastole
a|
a.V
diastole = Vmin or Vend-diastole (depends on preset selection)
PI Pulsatility Index two Doppler blood flow 
peak velocities and 
TA M A XPI=|(V
max-Vdiastole)/
TA M A X
a|
RI Resistivity Index two Doppler blood flow 
peak velocities RI=|(V
max-Vdiastole)/ 
V
max a|
HR Heart Rate (beats/minute) one 2 beat time interval  (measured manually or 
automatically)HR[BPM]=120[sec]/
2 beat time[sec]
ARM_Rev_2.book  Page 22  Monday, March 15, 2010  2:19 PM 
						

							Measurement Formulas
LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual 2-23
Direction 5122542-100 Rev. 2
Formulas-Cardiac
The Following table lists the card iac calculations. the folders 
where to find tha calculations and related measurements are 
indicated in brackets “[ ]”.
Table 2-10: Cardiac Calculation Formulas
%FS [Dimension, Cube/Teicholz]
Mode : 2D, CF, VR2D
Formula : (({LFIDd}-[LVIDs])/{LVIDd])
Needs measurement : LVIDd [Dimension, Cube/Teichloz], LVIDs 
[Dimension, Cube/Teichloz]
Measured by : LVs[2DLV], LVIDs[2DCaliper], EF(Cube) [AutoCalc]
%FS [Generic, Dimension]
Mode : MM, CM, AMM, CAMM, VRMM
Formula : (({LFIDd}-[LVIDs])/{LVIDd])
Needs measurement : LVIDd [Generic , Dimension], LVIDs [Generic, 
Dimension]
Measured by : LVs[
%IVS Thck [Dimension]
Mode: 2D:CF:VR2D
Formula: (({IVSs}-{IVSd})/{IVSd})
Needs measurement: IVSs [Dimension], IVSd [Dimension]
Measured by: LVs [2DLV], IVSs [2DCALIPER]
%IVS Thck [Dimension]
Mode: MM:CM:AMM:CAMM:VRMM
Formula: (({IVSs}-{IVSd})/{IVSd})
Needs measurement: IVSs [Dimension], IVSd [Dimension]
Measured by: IVSs [MMDISCALIPER]
%LVPW Thck [Dimension]
Mode: 2D:CF:VR2D
Formula: (({LVPWs}-{LVPWd})/{LVPWd})
Needs measurement: LVPWs [D imension], LVPWd [Dimension]
Measured by: LVs [2DLV], LVPWs [2DCALIPER]
%LVPW Thck [Dimension]
Mode: MM:CM:AMM:CAMM:VRMM
Formula: (({LVPWs}-{LVPWd})/{LVPWd})
Needs measurement: LVPWs [D imension], LVPWd [Dimension]
Measured by: LVPWs [MMDISCALIPER]
Ao st junct/Ao [Dimension]
Mode: 2D:CF:VR2D
Formula: {Ao st junct}/{Ao Diam}
Needs measurement: Ao st junct  [Dimension], Ao Diam [Dimension]
Measured by: Ao st junct [2DCALIPER]
ARM_Rev_2.book  Page 23  Monday, March 15, 2010  2:19 PM 
						

							Measurement Formulas
2-24LOGIQ 3 Expert/LOGIQ 3 Pro/LOGIQ 3 Advanced Reference Manual
Direction 5122542-100 Rev. 2
Ao/LA [Generic, Dimension]
Mode: MM:CM:AMM:CAMM:VRMM
Formula: {Ao Diam}/{LA Diam}
Needs measurement: Ao Diam [Generic , Dimension], LA Diam [Generic, 
Dimension]
Measured by: LA/Ao [MMLAAO]
AP Area [Aortic]
Mode: CW:PW:VRCW:VRPW
Formula: {LVOT Diam}^2*0.785*({LVOT VTI}/{AP VTI})
Needs measurement: LVOT Diam [Aortic], LVOT VTI [Aortic], AP VTI 
[Aortic]
Measured by: AP Area [SDMANTRACE]
AR ERO [PISA]
Mode: CF:CW:PW:VRCW:VRPW
Formula: {AR Flow}/{AR Vmax}
Needs measurement: AR Flow [PISA], AR Vmax [PISA]
Measured by: AR Trace [AUTOCALC]
AR RV [PISA]
Mode: CF:CW:PW:VRCW:VRPW
Formula: {AR Flow}/{AR Vmax}*{AR VTI}
Needs measurement: AR Flow [PISA], AR Vmax [PISA], AR VTI [PISA]
Measured by: AR Trace [AUTOCALC]
AV Acc Time/ET Ratio [Aortic]
Mode: CW:PW:VRCW:VRPW
Formula: {AV AccT}/{AVET}
Needs measurement: AV AccT [Aortic], AVET [Aortic]
Measured by: AVET [SDTIMECALIPER]
AV Area [Dimension]
Mode: 2D:CF:VR2D
Formula: 3.14/4*{AV Diam}^2
Needs measurement: AV Diam [Dimension]
Measured by: AV Diam [2DCALIPER]
AV CI [Aortic]
Mode: CW:PW:VRCW:VRPW
Formula: (({AV Diam}^2*0. 785*{AV VTI})*{HR}/60)/{BSA}
Needs measurement: AV Diam [Aortic], AV VTI [Aortic], HR [Aortic]
Measured by: AV Trace [SDMANTRACE]
AV CO [Aortic]
Mode: CW:PW:VRCW:VRPW
Formula: ({AV Diam}^2*0.785*{AV VTI})*{HR}/60
Needs measurement: AV Diam [Aortic], AV VTI [Aortic], HR [Aortic]
Measured by: AV Trace [SDMANTRACE]
AV SI [Aortic]
Mode: CW:PW:VRCW:VRPW
Formula: ({AV Diam}^2*0.785*{AV VTI})/{BSA}
Needs measurement: AV Diam [Aortic], AV VTI [Aortic]
Measured by: AV Trace [SDMANTRACE]
Table 2-10: Cardiac Calculation Formulas
ARM_Rev_2.book  Page 24  Monday, March 15, 2010  2:19 PM