Pressure = nRT V Diffusion of gases Gases in contact with a liquid Partial pressure Properties of Gases
DALTON’s law of partial pressure Total pressure exerted by a gaseous mixture is equal to the sum of the partial pressures of individual component in a gas mixture Individual partial pressure exerted by a component gas in a mixture α volume fraction of that gas component in that gas mixture
Composition of Dry Air 20.98% O 2 78.06% N 2 0.04% CO 2 0.92% Other inert gases Barometric Pressure at sea level = 1Atm = 760 mmHg P O 2 = 0.21X760 = 160 mmHg P CO 2 = 0.004X760 = 0.3mmHg
Atmospheric air ↓ Alveoli ↓ Arterial blood ↓ Tissue capillaries ↓ Mitochondria OXYGEN CASCADE It describes the process of decreasing oxygen tension from atmosphere to mitochondria.
Water vapour pressure at body temp = 47mmHg Thus, Pressure exerted by gas in saturated moist air = 760-47 = 713mmHg => Partial pressure of O2 in saturated moist air = 713 x 0.21 = 149 mmHg This is the starting point of O2 cascade.
Down the respiratory tree, O2 tension is further diluted by the alveolar CO 2 . The partial pressure of alveolar oxygen(P A O 2 ) is calculated by alveolar gas equation P A O 2 = PiO 2 -PACO 2 /R PaCO ₂ = P A CO₂ ( 40mmHg ) as CO₂ is freely diffusible.
R is RESPIRATORY QUOTIENT(RQ) , the ratio of rate of CO₂ produced to the rate of oxygen uptake. RQ=VCO₂/VO₂ 200/250=0.8 RQ depends on the metabolic substrate ie,carbohydrate only diet =1. Protein &fat=0.8 So P A O 2 =149- ( 40/0.8)~100mmHg .
ALVEOLUS TO BLOOD Alveolar P A O 2 is 100mmHg. Blood returning from tissues to heart has low PO 2 (40mmHg). So oxygen diffuses from alveoli to pulmonary capillaries. After oxygenation,blood moves to pulm. veins→left side of heart→ arterial system → systemic tissues. In a perfect lung pO₂ of pulm. Venous blood would be equal to pO₂ in the alveolus.
O2 DELIVERY TO TISSUES(DO2) = [(1.34 x HbxSaO2)+(0.003xPaO2)] x Q O2 delivery to tissues depends on Hb concentration O2 binding capacity of Hb saturation of Hb amount of dissolved O2 cardiac output (Q)
UNLOADING OF O2 AT TISSUES Initially the dissolved O2 is consumed. Then the sequential unloading of Hb bound O2 occurs. Transport of O2 from the capillaries to tissues is by simple diffusion. Pasteur point is the critical PO2 at which delivered O2 is utilised by the tissue & below which the O2 delivery is unable to meet the tissue demands.
O2 CASCADE
FACTORS AFFECTING O2 CASCADE AT EACH LEVEL
Atmosphere to alveolus High altitude. At high altitude, the barometric pressure is less than that at sea level, and thus, even though the FiO2 is 21%,the piO2 is decreased. Water vapour Higher the water vapour lesser will be the PiO2 . Upper resp. tract, humidifies inspired air , depends upon temp.
In the alveolus Amount of CO2 in the alveolus depends on the metabolism & degree of hypoventilation. Fever,sepsis,malignant hyperthermia increases CO2 production.
Alveous to capillaries Ventilation/perfusion mismatch Shunt Slow diffusion.
VENTILATION /PERFUSION MISMATCH in normal lung itself upper zones are over ventilated while lower zones are relatively overperfused and under ventilated. pulmonary venous blood is a mixture of pulmonary capillary blood from all the alveoli,hence a lower PO2 than PAO2
SHUNTS Occur when deoxygenated blood passes unventilated alveoli , without getting oxygenated , to enter the systemic arterial system . examples of shunts : atelectasis consolidation of lung small airway closure. These effects are overcome by a compensatory mechanism termed HYPOXIC PULMONARY VASOCONSTRICTION ( HPV ).
SLOW DIFFUSION Normally diffusion is very rapid and is completed by the time the blood has passed about 1/3 of the way along the pulm. capillary. Diffusion is affected in pulmonary diseases.
ALVEOLAR ARTERIOLAR GRADIENT : P( A – a )O2 Partial pr of Oxygen in Arterial blood is given by PaO2=102-age/3 Normal Aa gradient is 5-15mmHg. AA gradient ↑ due to: slow diffusion. atelectasis pulm . Edema congenital heart disease(right to left shunt)
Aa gradient depends upon: shunt ventilation/perfusion mismatch mixed venous O2 tension Aa gradient directly proportional to shunt and inversely proportional to mixed venous O2 tension.
Arterial blood to tissue Serum Hb level. Percentage of Hb saturated with O2. Cardiac output. Amount of dissolved oxygen.
OXYGEN CARRIAGE BY BLOOD In two ways Dissolved in serum.(5%) Combination with Hb(95%)
OXYHEMOGLOBIN One Hb molecule with its 4 heme group is capable of binding 4 molecules of O2. 1gm of fully oxygenated Hb contains 1.34ml of O2 (vary depending on Fe content) At an arterial PO2 of 100mmHg,Hb is 98% saturated,thus 15gm of Hb in 100ml blood will carry about 20ml of O2 = 1.34ml x 15gm x 98/100=20
DISSOLVED OXYGEN Henry’s law :states that the concentration of any gas in a solution is proportional to its partial pressure Gas concentration= x partial pressure is the gas solubility coefficient =0.003ml/dl(100ml of blood)/mmHg for O2 Dissolved O2 in arterial blood is thus 0.3ml/dl (0.003ml/dl x100mmHg).
Venous blood have an O2 partial pressure of 40mmHg and Hb is 75% saturated.thus it contains about 15ml of O2/100ml 1.34x15x75/100=15 Thus every 100ml of blood passing through the lungs will take up 5ml of O2
OXYGEN CONTENT Total O2 content of blood is the sum of O2 in the solution & that carried by Hb. O2 content =0.003ml O2/dl x PaO2 + 1.34 x Hb x % saturation of Hb
OXYGEN FLUX Amount of O2 leaving the left ventricle per minute in the arterial blood . O2 content of arterial blood X cardiac output O2 content of arterial blood = (O2 bound to Hb + dissolved O2) i.e 20ml+0.3ml=20.3ml/dl(20.3ml/100ml) So O2 flux=20.3ml/100ml X 5000ml=1000ml
Hb : Anaemic Hypoxia O 2 saturation : Hypoxic Hypoxia Cardiac output : Stagnant Hypoxia Three factors can decrease O 2 Flux
Relates saturation of Hemoglobin (Y axis) to partial pressure of O2 (X axis) It’s a sigmoid shaped curve with a steep lower portion and flat upper portion Describes the nonlinear tendency for O2 to bind to Hb . O2 DISSOCIATION CURVE(ODC)
Ferrous iron in each heme binds with one O2 One Hb molecule can bind 4 molecules of O2 Deoxy Hb : globin units are tightly bound in a tense configuration (T state) As first molecule of O2 binds, it goes into a relaxed configuration (R state) thus exposing more O2 binding sites 500 times increase in 02 affinity characteristic sigmoid shape of ODC
CHARACTERISTICS OF THE CURVE
SHAPE OF THE CURVE Characteristic sigmoid shape which offers many physiological advantages It reflects the physiological adaptation of Hb to take up O2 at higher partial pressures (alveoli) and release oxygen at lower partial pressures (tissues )
The flat upper portion means that even if PO2 falls somewhat, loading of O2 wont be affected much. Even when red cells take up most of the O2 from alveoli , PO2 drop is less compared to gain in saturation a large PO2 difference still exists for diffusion of O2 to continue
The steep lower part of the curve means peripheral tissues can withdraw large amounts of 02 for only a small drop in capillary PO2. This maintenance of blood PO2 assists diffusion of 02 into tissue cells
The characteristic points on the curve are: 1) The arterial point PO2=100mmHg and SO2=97.5% 2) The mixed venous point PO2=40mmHg and SO2=75% 3) The P50 PO2=27mmHg and SO2=50% ANCHOR POINTS IN THE CURVE
It is the partial pressure at which 50% of Hb is saturated. At a pH of 7.4 , temp 37 C , the PO2 at which the Hb is 50% saturated (P50) is 27mmHg When affinity of Hb for 02 is increased , P50 decreases : shift to left in ODC When affinity is reduced , P50 increases : shift to right in ODC P50
SHIFT OF ODC
Right shift - High P50 (>27mmHg ) Hb has decreased affinity for O2 O2 delivery facilitated at tissue level Causes: Increase in H+ Increase in temperature Increase in 2,3 DPG Increase in PCO2 Exercise Anaemia Drugs : propranalol , digoxin etc
Left shift - Low P50 (<27mmHg) Hb has ↑ ed affinity for O2 O2 delivery at tissues is decreased Causes: Low H+ Low temperature Low 2,3 DPG Low PCO2 Variants of normal Hb (fetal Hb , carboxy Hb , met Hb )
Temperature Increase in temperature decreases Hb-O2 affinity and curve is shifted to right Decrease in temperature increases affinity and curve shifted to left decreased release of O2 But this wont cause hypoxia because in hypothermia body O2 demand is also less FACTORS AFFECTING ODC
Hydrogen ions Acidosis decreases Hb-O2 affinity and curve is shifted to right Deoxy Hb binds with H+ more actively than does oxy Hb H + + HbO2 H.Hb +O2 Advantageous at tissue level
Acute conditions : 0.1 unit Ph change causes 3mm Hg change in P50 Chronic (>2-3 hrs) : depends on compensatory changes in organic phosphate synthesis (2,3 DPG, ATP)
Carbon dioxide Effects attributed to changes in pH CO2 + H2O H2CO3 H + HCO3 Increase in CO2 shifts curve to right causing more release of O2 BOHR EFFECT
2,3 DPG Produced in red cells by Embden meyerhof shunt pathway of glycolysis Normal concentration : 4mmol/l Binds to deoxyHb and reduces its affinity for O2 ODC is shifted to right Fetal erythrocytes have lower concn of 2,3 DPG and hence HbF has a higher affinity for O2
FACTORS DECREASING 2,3 DPG Polycythemia Hyperoxia Chronic alkalosis Hypothyroidism Blood storage NB: blood stored with ACD anticoagulant loses 2,3 DPG faster (6-7 days) than CPD blood. Effect starts immediately after transfusion and may last for 2-3 days
Physiological situations Exercise ODC for skeletal muscles shifted to right This ensures max O2 delivery for exercising muscles Factors : Increased CO2 production Increased Temperature Presence of myoglobin (higher O2 affnity ) Other conditions affecting ODC
(2) High Altitude A s distance from sea level increases , partial pressure of gases in atmosphere decreases But, volume remains constant eg : 21% for O2 Leads to a progressive reduction in ambient O2 Hypoxia Compensatory mechanisms net effect is right shift of ODC
Increased alveolar ventilation Increased Hb production Increase in 2,3 DPG Increase in diffusing capacity of lungs Increase in vascularity of tissues Increase cellullar use of 02
Congenital Abnormalities Hemoglobinopathies : ODC shifted to right or left depending on affinity of abnormal Hb to O2 Deficiency of red cell metabolism Pyruvate kinase deficiency : shift to right d/t elevated 2,3 DPG levels
Carbon Monoxide Poisoning Hb has 200 times higher affinity for CO than O2 50% saturated at 0.4mmhg Displaces O2 from Hb Increases O2 affinity of those hemoglobin unbound to CO Together it produces a shift to left in ODC and over all decrease in 02 delivery
Chronic disease states Cardiopulmonary disease : decreased cardiac output O2 extraction more increased deoxyHb stimultes 2, 3 DPG production shift to right Anaemia : 2 important compensatory mechanisms 1)increase in CO and oxygen delivery 2)right shift of ODC – increase in 2,3DPG
Acute disease states Shock: Net effect on ODC involves interaction of pH , PCO2, temperature and many other factors. 2,3DPG & P50 were lower in patients with septic shock. Shift to left massive transfusions , a/c alkalosis (hyperventilation , bicarbonate administration) , hypothermia , hypophosphatemia etc
A/c MI: right shift with an elevated P50 Hypophosphataemia as occurs in starvation, vomiting, malabsorption etc causes increased Hb-O2 affinity and shift ODC to left
Occurs at feto -maternal interface. CO2 & other metabolic products from the fetal blood diffuses into maternal blood making maternal blood more acidic & fetal blood more alkaline. DOUBLE BOHR EFFECT
In maternal side ODC is shifted to right with ↓ ed O2 affinity, causing ↑ ed O2 release to fetus In fetal side , there is left shift of ODC, ↑ ing O2 affinity Thus Bohr effect acting in two different directions having a beneficial effect
ODC AND THE ANAESTHESIOLOGIST
ODC helps us to relate PO2 and Hb saturation A left shift gives a warning that tissue oxygen delivery may be compromised even when there is not much drop in PO2 All inhalational agents including N2O causes shift to right Intravenous agents have no demonstrable effect on ODC
Among other drugs : propranalol , steroids have been found to be associated with shift to right and improved tissue oxygenation Blood transfusion : whenever possible, ACD anticoagulated fresh blood (<5-7 days old) should be used and avoid massive transfusions.