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668        seCtioN iii    RespiRatoRy  ` RESPIRATORY—PhYSIOlOgY                                                                                                        RespiRatoRy  ` RESPIRATORY—PhYSIOlOgY





               Pulmonary circulation  Normally a low-resistance, high-compliance   A consequence of pulmonary hypertension is cor
                                       system. A  in Pao  causes a hypoxic     pulmonale and subsequent right ventricular
                                                     2
                                       vasoconstriction that shifts blood away from   failure.
                                       poorly ventilated regions of lung to well-  Diffusion: V gas  = A × D  ×  P  – P 2  where
                                                                                        ˙
                                                                                                      1
                                       ventilated regions of lung.                                k    Δ x
                                     Perfusion limited—O  (normal health), CO ,   A = area, Δ  = alveolar wall thickness,
                                                                        2
                                                       2
                                                                                         x
                                       N O. Gas equilibrates early along the length of   D  = diffusion coefficient of gas, P  – P
                                        2
                                                                                 k
                                       the capillary. Exchange can be  only if blood   = difference in partial pressures.  1  2
                                       flow .                                     ƒ A  in emphysema.
                                     Diffusion limited—O (emphysema, fibrosis,     ƒ Δ   in pulmonary fibrosis.
                                                       2
                                       exercise), CO. Gas does not equilibrate by the    x
                                       time blood reaches the end of the capillary.  DLCO is the extent to which CO passes from
                                                                                air sacs of lungs into blood.
                                                                                            Equilibration
                                                                               PAO₂                                PaO₂
                                                                                                         Perfusion limited
                                                                                  Partial pressure       Fibrosis (di usion limited)
                                                                                                                   PaO₂




                                                                               PACO₂                               PaCO₂
                                                                                                         Perfusion limited
                                                                                                                   PaCO
                                                                                                         Di usion limited
                                                                                  0
                                                                                           Length along pulmonary capillary
                                                                               Pa = partial pressure of gas in pulmonary capillary blood
                                                                               PA = partial pressure of gas in alveolar air


               Pulmonary vascular           P pulm artery  – P L atrium        P pulm artery  = pressure in pulmonary artery
               resistance            PVR =                                     P L atrium  ≈ pulmonary capillary wedge pressure
                                                 Q
                                                                               Q = cardiac output (flow)
                                                                               R = resistance
                                     Remember: ΔP = Q × R, so R = ΔP / Q       η = viscosity of blood
                                         8ηl                                   l = vessel length
                                     R =   πr 4                                r = vessel radius



                                                 Paco
               Alveolar gas equation  Pao  = PIo  –    2                       Pao  = alveolar Po  (mm Hg)
                                              2
                                        2
                                                                 R                2          2
                                                                               PIo  = Po  in inspired air (mm Hg)
                                                                                      2
                                                                                  2
                                                        Paco                   Paco  = arterial Pco (mm Hg)
                                                     a
                                          ≈ 150 mm Hg  –    2                      2           2
                                                         0.8                   R = respiratory quotient = CO  produced/
                                                                                                       2
                                                                                O  consumed
                                     a At sea level breathing room air           2
                                                                               A-a gradient = Pao  – Pao . Normal A-a gradient
                                                                                              2
                                                                                                   2
                                                                                estimated as (age/4) + 4 (eg, for a person <40
                                                                                years old, gradient should be <14).










          FAS1_2019_16-Respiratory.indd   668                                                                           11/8/19   7:34 AM
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