Gas exchange Airway no gas exchange CO2 flow O2 Anatomical dead space VD Anat = 1 ml/lb body wt. airway room air CO2 flow O2 start insp end insp end exp No gas exchange (white) in anatomical dead space Minute Ventilation: VE = breathing frequency (f) x tidal volume (VT) 5 L/min = 10/min x 500 ml Correction for VD Anat: VE = f x (VT – VD anat) 3.5 L/min = 10/min x (500 – 150) ml Estimating anatomical dead space V xF = Mass of Gas olume raction Mass of Gas of VT = sum of gas masses of VA and VD VD VT VA VT x FECO2 = VA x FACO2 + VD X FDCO2 Since FDCO2 = 0 VA = (VT x FECO2) / ( FACO2) Since VA = VT - VD (FACO2 - FECO2) VD = end exp VT FACO2 Partial pressure of a gas Dalton’s Law: in a mixture of gases, partial pressure (Pgas) of each gas contributes additively to total pressure (PB) in proportion to the gas’s fractional volume (Fgas) Pgas = PB x Fgas Alveolar PO2 is < Inspired PO2 N2 CO2 H2O O2 14% 21% dry room air inspired air alveolar gas PO2 PCO2 PH2O (37oC) PN2 160 0 0 600 150 0 47 563 100 40 47 573 Total (mmHg) 760 760 760 Henry’s Law: at equilibrium, gas pressure above a liquid equals gas pressure in the liquid PO2, gas = 100 mmHg PO2, blood = 100 Alveolar gas partial pressures determine blood gas tensions alveolus PCO2, alv =40 PO2, alv =100 O2 CO2 flow PCO2, blood =40 PO2, blood =100 Blood gas tension determines blood gas content Concentration of gas dissolved per liter of blood (C) depends on gas solubility (a) and Pgas in blood CO2 = a x PO2, blood CO2 = 0.03 x 100 = 3 ml O2/liter of blood = 0.3 ml O2/100ml of blood Dissolved gas a, Solubility coefficient (ml O2/[liter.mmHg]) The oxyhemoglobin dissociation curve 100 HbO2 saturation 50 (%) 0 0 20 30 40 50 60 70 80 90 100 110 120 PO2, blood The O2 carrying capacity of blood = Hgb-bound O2 + dissolved O2 PO2, alv PO2, blood dissolved O2 in blood HgbO2 saturation = 1.34 ml at 100% O2 content in 1 liter of blood at PO2, blood of 100 mmHg = (HgbO2 sat [%] x 1.34 x [Hgb]) + (.03 x PO2, blood) = (0.98 x 1.34 x 150 [g/l]) + 3 = 200 ml O2/liter of blood How tissues get O2 alveolus PO2, alv =100 100 ~30% HgbO2 2 saturation (%) flow 50 PO2, blood =100 O alveolus tissue tissue PO2, tissue 10 0 O2 50 PO2, blood 40 40 50 0 100 PO2, blood 100 Low pH unloads O2 better alveolus PO2, alv =100 O2 flow PO2, blood =100 100 HbO2 saturation (%) 50 tissue ~50% pH tissue 0 PO2, tissue 10 0 O2 40 40 50 50 PO2, blood pH 100 PO2, blood alveolus 100 The oxyhemoglobin dissociation curve 100 HbO2 saturation 50 (%) pH pH 0 0 20 30 40 50 60 70 80 90 100 110 120 PO2, blood The pulmonary circulation O2 CO2 Pulmonary capillaries Pulmonary artery Pulmonary vein LA RV tissue PVR is <<< SVR PVR = (Ppa – Pla) / CO CO2 = 2 units O2 Pulmonary capillaries Ppa = 20 Pla = 10 LA Pra = 0 Pao = 200 RV CO = 5 Note: pressures are ‘mean’ and in cmH2O. CO is 5 L/min. tissue SVR = (Pao – Pra) / CO = 40 units The lung has low vascular resistance The lung has low vascular tone pressure lung flow kidney flow autoregulation time Systemic capillaries Lung capillaries Alveolar wall Lung capillaries Alveolus The lung’s low vascular resistance is due to 1. Low vascular tone 2. Large capillary compliance PA enters mid lung height PA 30 cm Gravity determines highest blood flow at lung base End expiration Ppa Pla (cmH2O) -10 cm Palv = 0 10 5 20 10 0 cm 30 20 +10 cm Hypoxic pulmonary vasoconstriction PO2 = 100 mmHg hypoxia 100 40 100 40 100 40 PO2 40 Capillary filtration determines lung water content alveolus capillary lymphatic The Starling equation describes capillary filtration FR = Lp x S [ (Pc – Pi) – s (Pc – Pi) ] FR S Pc Pi alveolus Pi Pc Pi Pc filtration rate capillary surface area capillary pressure interstitial pressure s reflection coefficient Pc plasma colloid osmotic pressure Pi interstitial colloid osmotic pressure Keeping the alveoli “dry”: Large capillary pressure drop 20 Pressure (cmH2O) s (Pc – Pi) 15 10 PA Capillary bed LA s (Pc – Pi) = .8 (30 – 12) Keeping the alveoli “dry”: Perivascular cuff formation alveolus vascular cuffing Perivascular cuffs in early pulmonary edema cuff Normal lung Early pulmonary edema The ultimate insult: alveolar flooding alveolus Keeping the alveoli “dry”: active transport removes alveolar liquid alveolar space NaCl NaCl transporter active liquid transport Na-K pump Cl Na K interstitium SUMMARY Features of the pulmonary circulation designed for efficient gas exchange: 1. Accommodate the cardiac output * low vascular tone * high capillary compliance SUMMARY Features of the pulmonary circulation designed for efficient gas exchange: 2. Keep filtration low near alveoli * low Pc * vascular interstitial sump SUMMARY Features of the pulmonary circulation designed for efficient gas exchange: 3. Keep liquid out of the alveoli * active transport * high resistance epithelium Control of Breathing Central neurons determine minute ventilation (VE) by regulating tidal volume (VT) and breathing frequency (f). VE = VT x f VRG pons medulla DRG Neural Control of Breathing – Respiratory neurons Neural Control of Breathing – The efferent pathway muscle supply autonomic Phrenic n. Central chemoreceptors CO2, H+ Control of Breathing by Central chemoreceptors major regulators of breathing CO2, H+ Central chemoreceptors Resp neurons VE IXth n. Carotid body ~10% contribution to breathing O2 CO2 pH Chemical Control of Breathing – Peripheral chemoreceptors CO2 drives ventilation 50 hypercapnia VE (L/min) 5 quiet breathing 35 40 45 CO2 tension in blood (mm Hg) Hypoxia is a weak ventilatory stimulus 50 blood pO2 = 50 mmHg blood pO2 = 100 mmHg VE (L/min) 5 35 40 45 CO2 tension in blood (mm Hg) Reflex Control of Breathing – Neural receptors Xth n. afferents Airway Receptors: Slowly adapting (stretch - ends inspiration) Rapidly adapting (irritants cough) Bronchial c-fiber (vascular congestion - bronchoconstriction) Parenchymal c-fiber (irritants bronchoconstriction)