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Formulae and Equations
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Formulae and Equations

Measured parameters

eSVi = LVOT VTI * LVOT area/BSA

eCO = LVOT VTI * LVOT area * heart rate

eCI = (LVOT VTI * LVOT area/BSA) * heart rate

eWP (Nagueh) = 1.24 [E/e’] + 1.9

eWP (TR derived) = 4 * Vel(TR)2/2

sPAP = 4*(peak systolic TRV)2 + eRAP

dPAP = 4*(end-diastolic PRV)2 + eRAP

mPAP =

  1. Method 1: 4*(proto diastolic PRV)2 + eRAP
  2. Method 2: mean TR gradient + eRAP peak

Abbas Index (PVR) = Peak TR-Velocity / RV outflow tract VTI

eRAP =

  1. IVC diameter and collapse
  2. Hepatic venous flow pattern
  3. Tricuspid E/e’ ratio

Derived parameters

šŸ¤–CPO - Calculated Power Output

eCPO = eCO x MAP/451

eCPI = eCPO/BSA

Simplified eCPO = LVOT VTI x heart rate x MAP

šŸAPI

eAPI = (SBP – DBP)/eWP(Nagueh)

šŸ’™PAPi - PA Pulse Pressure index

ePAPi = sPAP – dPAP/eRAP. (Threshold of 1.85)

Simplified ePAPi = TR gradient/eRAP (Describes relationship between PASP and CVP)

RVCPI = TAPSE * peak TR gradient

Load Adaptation Index = TR VTI * RV end-diastolic length/RV end-diastolic area

Echo Correlation with PAC values

Echo Value
Corresponding PAC Value
R (%)
Sensitivity
Specificity
eCO
CO (thermodilution)
0.88
0.97 (at 2.2l)
0.73 (at 2.2l)
sPAP
sPAP
0.92
0.87 (>35mmHg)
0.63 (>35mmHg)
RAP
CVP
0.86
0.9 (>10mmHg)
0.83 (>10mmHg)
eCPO
CPO
0.82
0.76 (CPO <0.6)
0.85 (CPO <0.6)
eWP
PCWP
0.84
0.55

Risk of overestimation of PCWP using echo-derived values. This can then result in misclassification of RV-dominant shock as biventricular shock (This happened in 50% of cases in one study)

Using E/e’ ratio as a surrogate for PCWP appears unreliable (Nagueh method)

ePAPi shows good correlation with echo vs PAC measurements, especially at the lower end (which are more clinically useful in cardiogenic shock)

Southwest CT Anaesthesia 2023 Ā©ļø