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resources:formulae [2024/01/02 13:49] adminresources:formulae [2024/06/05 17:46] (current) – [Equation of Motion] admin
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 +==== Shunt Equation (Berggren Equation)====
 +$$\frac{Q_s}{Q_t} = \frac{C_{C_{O_2}} - C_{a_{O_2}}}{C_{C_{O_2}} - C_{v_{O_2}}}$$
 +
 +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 ===== 
 $TPG = mPAP - PCWP$ $TPG = mPAP - PCWP$
resources/formulae.1704203380.txt.gz · Last modified: 2024/01/02 13:49 by admin