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Table 1 Summary of formulas

From: Physiological response to prone positioning in intubated adults with COVID-19 acute respiratory distress syndrome: a retrospective study

\(Aa-gradient\)

\(\left[Fi{O}_{2} \times \left([Patm-P{H}_{2}O\right)\right]-\left(\frac{PaC{O}_{2}}{RQ}\right)-Pa{O}_{2}\)

\(VR\)

\(\frac{\left[{\dot{V}}_{E} \times PaC{O}_{2}\right]}{PBW x 100 x 37.5}\)

\(PBW\)

\(X+\left[0.91 \times \left(H-152.4\right)\right]\)

\(X=50 in men, X=45.5 in women\)

\(\frac{{V}_{D}}{{V}_{T}} HB\)

\(1- \frac{(0.863 x \dot{V}C{O}_{2}}{({\dot{V}}_{E} \times PaC{O}_{2})}\)

\(\dot{V}C{O}_{2}\)

\(\frac{REE}{\left(\frac{5.616}{RQ}+1.584\right)}\)

\(REE for males\)

\(66.473+13.752 \times W+5.003 \times H-6.755 \times Y\)

\(REE for females\)

\(655.096+9.563 \times W+1.850 \times H-4.676\times Y\)

  1. Aa-gradient: alveolo-arterial gradient of O2, in mmHg; FiO2: fraction of inspired oxygen; Patm: atmospheric pressure, in mmHg, 715 mm Hg in Lausanne; PH2O: vapor pressure, in mmHg, approximated to 47 mmHg; PaCO2: arterial partial pressure of carbon dioxide, in mmHg; RQ: respiratory quotient, approximated to 0.8; PaO2: arterial partial pressure of oxygen, in mmHg; VR: ventilatory ratio, adimensional; â©’E: minute ventilation in ml/min; PBW, predicted body weight in kg; VD/VT HB: dead space fraction estimated using the unadjusted Harris-Benedict estimate of resting energy expenditure and the rearranged Weir equation for CO2 production; REE: resting energy expenditure; â©’CO2: carbon dioxide production, in ml/min; H: height in cm; W: weight in kg