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resources:formulae [2024/06/05 14:36] – admin | resources:formulae [2024/06/05 17:46] (current) – [Equation of Motion] admin | ||
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==== Shunt Equation (Berggren Equation)==== | ==== Shunt Equation (Berggren Equation)==== | ||
- | $\frac{Q_s}{Q_t}$ | + | $$\frac{Q_s}{Q_t} |
+ | where: | ||
+ | * $Q_s=$ pulmonary physiology shunt $(\frac{mL}{min})$ | ||
+ | * $Q_t=$ cardiac output $(\frac{mL}{min})$ | ||
+ | * $C_{C_{O_2}} = $ end-pulmonary-capillary oxygen content | ||
+ | * $C_{a_{O_2}} = $ arterial oxygen content | ||
+ | * $C_{v_{O_2}} =$ mixed venous oxygen content | ||
+ | |||
+ | So, you will need an ABG and a true mixed VBG (art line + SGC). | ||
+ | |||
+ | === Derivation === | ||
==== Dead Space Fraction ==== | ==== Dead Space Fraction ==== | ||
$\frac{V_D}{V_T} = \frac{P_ACO_2 - P_ECO_2}{P_ACO_2}$ | $\frac{V_D}{V_T} = \frac{P_ACO_2 - P_ECO_2}{P_ACO_2}$ | ||
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$P_{aw} = \dot VR + \frac{V_t}{C} + PEEP_{total} + P_{musc}$ | $P_{aw} = \dot VR + \frac{V_t}{C} + PEEP_{total} + P_{musc}$ | ||
+ | ==== CPET Testing==== | ||
+ | ===Heart rate reserve | ||
+ | $HRR = HR_{achieved}^{max} - HR_{predicted}^{peak}$, | ||
+ | |||
+ | where $HR_{predicted}^{peak} = 220 - age$ | ||
+ | |||
+ | ===Slope of work efficiency=== | ||
+ | $m(work_e) = \frac{\Delta VO_2}{\Delta WR}$ | ||
+ | |||
+ | ===Slope of heart rate rise=== | ||
+ | $\frac{\Delta HR}{\Delta VO_2}$ | ||
===== CARDS ===== | ===== CARDS ===== | ||
$TPG = mPAP - PCWP$ | $TPG = mPAP - PCWP$ |