Guyton and Hall Physiology Chapter 40 - Principles of Gas Exchange; Diffusion of Oxygen and Carbon Dioxide Through The Respiratory Membrane PDF

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This document discusses the principles of gas exchange, specifically the diffusion of oxygen and carbon dioxide through the respiratory membrane. It details the physics of gas diffusion and the role of partial pressures in this process.

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CHAPTER 40 UNIT VII Principles of Gas Exchange; Diffusion of...

CHAPTER 40 UNIT VII Principles of Gas Exchange; Diffusion of Oxygen and Carbon Dioxide Through the Respiratory Membrane After the alveoli are ventilated with fresh air, the next step ing on the surfaces of the respiratory passages and alveoli in respiration is diffusion of oxygen (O2) from the alveoli is proportional to the summated force of impact of all the into the pulmonary blood and diffusion of carbon diox- molecules of that gas striking the surface at any given in- ide (CO2) in the opposite direction, out of the blood into stant. This means that the pressure is directly proportional the alveoli. The process of diffusion is simply the random to the concentration of the gas molecules. motion of molecules in all directions through the respira- In respiratory physiology, one deals with mixtures of tory membrane and adjacent fluids. However, in respira- gases, mainly oxygen, nitrogen, and carbon dioxide. The rate tory physiology, we are concerned not only with the basic of diffusion of each of these gases is directly proportional mechanism by which diffusion occurs but also with the to the pressure caused by that gas alone, which is called the rate at which it occurs, which is a much more complex partial pressure of that gas. The concept of partial pressure issue, requiring a deeper understanding of the physics of can be explained as follows. diffusion and gas exchange. Consider air, which has an approximate composition of 79% nitrogen and 21% oxygen. The total pressure of this Physics of Gas Diffusion and Gas Partial Pressures mixture at sea level averages 760 mm Hg. It is clear from the preceding description of the molecular basis of pres- Molecular Basis of Gas Diffusion sure that each gas contributes to the total pressure in direct All the gases of concern in respiratory physiology are sim- proportion to its concentration. Therefore, 79% of the 760 ple molecules that are free to move among one another by mm Hg is caused by nitrogen (600 mm Hg) and 21% by diffusion. This is also true of gases dissolved in the fluids O2 (160 mm Hg). Thus, the partial pressure of nitrogen in and tissues of the body. the mixture is 600 mm Hg, and the partial pressure of O2 For diffusion to occur, there must be a source of energy. is 160 mm Hg; the total pressure is 760 mm Hg, the sum This source of energy is provided by the kinetic motion of the individual partial pressures. The partial pressures of of the molecules. Except at absolute zero temperature, all individual gases in a mixture are designated by the symbols molecules of all matter are continually undergoing motion. Po2, Pco2, Pn2, Phe, and so forth. For free molecules that are not physically attached to oth- Pressures of Gases Dissolved in Water and Tissues ers, this means linear movement at high velocity until they strike other molecules. They then bounce away in new di- Gases dissolved in water or in body tissues also exert pres- rections and continue moving until they strike other mol- sure because the dissolved gas molecules are moving ran- ecules again. In this way, the molecules move rapidly and domly and have kinetic energy. Furthermore, when the gas randomly among one another. dissolved in fluid encounters a surface, such as the mem- Net Diffusion of a Gas in One Direction—Effect of a brane of a cell, it exerts its own partial pressure in the same Concentration Gradient. If a gas chamber or solution has a way as a gas in the gas phase. The partial pressures of the high concentration of a particular gas at one end of the cham- separate dissolved gases are designated the same as the par- ber and a low concentration at the other end, as shown in tial pressures in the gas state—that is, Po2, Pco2, Pn2, Phe, Figure 40-1, net diffusion of the gas will occur from the high- and so forth. concentration area toward the low-concentration area. The Factors That Determine Partial Pressure of a Gas reason is obvious. There are far more molecules at end A of the Dissolved in a Fluid. The partial pressure of a gas in a so- chamber to diffuse toward end B than there are molecules to lution is determined not only by its concentration but also diffuse in the opposite direction. Therefore, the rates of diffu- by the solubility coefficient of the gas. That is, some types sion in each of the two directions are proportionately different, of molecules, especially CO2, are physically or chemically as demonstrated by the lengths of the arrows in the figure. attracted to water molecules, whereas other types of mol- ecules are repelled. When molecules are attracted, far more Gas Pressures in a Mixture of Gases—Partial Pressures of of them can be dissolved without building up excess par- Individual Gases tial pressure within the solution. Conversely, in the case of Pressure is caused by multiple impacts of moving mole- molecules that are repelled, high partial pressure will devel- cules against a surface. Therefore, the pressure of a gas act- op with fewer dissolved molecules. These relationships are 511 UNIT VII Respiration Dissolved gas molecules exert to escape through the surface is called the vapor pres- sure of the water. At normal body temperature, 37°C (98.6°F), this vapor pressure is 47 mm Hg. Therefore, once the gas mixture has become fully humidified—that is, once it is in equilibrium with the water—the partial pressure of the water vapor in the gas mixture is 47 mm Hg. This partial pressure, like the other partial pressures, is designated as Ph2o. The vapor pressure of water depends entirely on the tem- perature of the water. The higher the temperature, the great- Figure 40-1. Diffusion of oxygen from one end of a chamber to the other. The difference between the lengths of the arrows represents er the kinetic activity of the molecules and, therefore, the net diffusion. greater the likelihood that the water molecules will escape from the surface of the water into the gas phase. For example, the water vapor pressure at 0°C is 5 mm Hg, and at 100°C it expressed by the following formula, which is Henry’s law: is 760 mm Hg. The most important value to remember is the vapor pressure at body temperature, 47 mm Hg. This value $PODFOUSBUJPOyPGyEJTTPMWFEyHBT appears in many of our subsequent discussions. 1BSUJBMyQSFTTVSF  4PMVCJMJUZyDPFGmDJFOU Pressure Difference Causes Net Diffusion of Gases When partial pressure is expressed in atmospheres (1 Through Fluids atmosphere [1 atm] pressure equals 760 mm Hg) and con- From the preceding discussion, it is clear that when the par- centration is expressed in volume of gas dissolved in each tial pressure of a gas is greater in one area than in another volume of water, the solubility coefficients for important area, there will be net diffusion from the high-pressure area respiratory gases at body temperature are the following: toward the low-pressure area. For example, returning to Figure 40-1, one can readily see that the molecules in the Oxygen: 0.024 area of high pressure, because of their greater number, have a Carbon dioxide: 0.57 greater chance of moving randomly into the area of low pres- Carbon monoxide: 0.018 sure than do molecules attempting to go in the other direc- tion. However, some molecules do bounce randomly from Nitrogen: 0.012 the low-pressure area toward the high-pressure area. There- Helium: 0.008 fore, the net diffusion of gas from the area of high pressure to the area of low pressure is equal to the number of mol- From this list, one can see that CO2 is more than 20 ecules bouncing in this forward direction minus the number times as soluble as O2. Therefore, the partial pressure of bouncing in the opposite direction, which is proportional to CO2 for a given concentration is less than one-twentieth the gas partial pressure difference between the two areas, (5%) of that exerted by O2. called simply the pressure difference for causing diffusion. Diffusion of Gases Between Gas Phase in Alveoli and Quantifying Net Rate of Diffusion in Fluids. In addition Dissolved Phase in Pulmonary Blood. The partial pressure of to the pressure difference, several other factors affect the each gas in the alveolar respiratory gas mixture tends to force rate of gas diffusion in a fluid: (1) the solubility of the gas in molecules of that gas into solution in the blood of the alveo- the fluid; (2) the cross-sectional area of the fluid; (3) the dis- lar capillaries. Conversely, the molecules of the same gas that tance through which the gas must diffuse; (4) the molecular are already dissolved in the blood are bouncing randomly in weight of the gas; and (5) the temperature of the fluid. In the fluid of the blood, and some of these bouncing molecules the body, the temperature remains reasonably constant and escape back into the alveoli. The rate at which they escape usually need not be considered. is directly proportional to their partial pressure in the blood. The greater the solubility of the gas, the greater the num- But, in which direction will net diffusion of the gas oc- ber of molecules available to diffuse for any given partial cur? The answer is that net diffusion is determined by the pressure difference. The greater the cross-sectional area of difference between the two partial pressures. If the partial the diffusion pathway, the greater the total number of mol- pressure is greater in the gas phase in the alveoli, as is nor- ecules that diffuse. Conversely, the greater the distance the mally true for oxygen, then more molecules will diffuse into molecules must diffuse, the longer it will take the molecules the blood than in the other direction. Alternatively, if the to diffuse the entire distance. Finally, the greater the veloc- partial pressure of the gas is greater in the dissolved state in ity of kinetic movement of the molecules, which is inversely the blood, which is normally true for CO2, then net diffu- proportional to the square root of the molecular weight, the sion will occur toward the gas phase in the alveoli. greater the rate of diffusion of the gas. All these factors can Vapor Pressure of Water be expressed in a single formula, as follows: When nonhumidified air is breathed into the respiratory ɳ1 ° " ° 4 %г √ passageways, water immediately evaporates from the surfac- E °.8 es of these passages and humidifies the air. This results from the fact that water molecules, like different dissolved gas in which D is the diffusion rate, ΔP is the partial pres- molecules, are continually escaping from the water surface sure difference between the two ends of the diffusion path- into the gas phase. The partial pressure that water molecules way, A is the cross-sectional area of the pathway, S is the 512 Chapter 40 Principles of Gas Exchange; Diffusion of Oxygen and Carbon Dioxide Through the Respiratory Membrane Table 40-1 Partial Pressures (in mm Hg) and solubility of the gas, d is the distance of diffusion, and MW composition (in percentages) of Respiratory Gases as is the molecular weight of the gas. They Enter and Leave the Lungsa It is obvious from this formula that the characteristics of the gas determine two factors of the formula—solubility Atmo- and molecular weight. Together, these two factors deter- spheric Humidi- Alveolar Expired UNIT VII mine the diffusion coefficient of the gas, which is propor- Air fied Air Air Air √ tional to 4.8; that is, the relative rates at which differ- N2 597 563.4 569 566 ent gases at the same partial pressure levels will diffuse are (78.62) (74.09) (74.9) (74.5) proportional to their diffusion coefficients. Assuming that O2 159 149.3 104 120 the diffusion coefficient for O2 is 1, the relative diffusion (20.84) (19.67) (13.6) (15.7) coefficients for different gases of respiratory importance in CO2 0.3 (0.04) 0.3 (0.04) 40 (5.3) 27 (3.6) the body fluids are as follows: H2O 3.7 (0.50) 47 (6.20) 47 (6.2) 47 (6.2) Oxygen: 1.0 Total 760 (100) 760 (100) 760 (100) 760 (100) Carbon dioxide: 20.3 aAt sea level. Carbon monoxide: 0.81 Nitrogen: 0.53 Helium: 0.95 Diffusion of Gases Through Tissues The gases that are of respiratory importance are all highly 1st breath 2nd breath 3rd breath soluble in lipids and, consequently, are highly soluble in cell membranes. Because of this, the major limitation to move- ment of gases in tissues is the rate at which the gases can diffuse through the tissue water instead of through the cell membranes. Therefore, diffusion of gases through tissues, in- cluding through the respiratory membrane, is almost equal to 4th breath 8th breath 12th breath 16th breath the diffusion of gases in water, as given in the preceding list. Figure 40-2. Expiration of a gas from an alveolus with successive breaths. COMPOSITIONS OF ALVEOLAR AIR AND the air dilutes the oxygen partial pressure at sea level from ATMOSPHERIC AIR ARE DIFFERENT an average of 159 mm Hg in atmospheric air to 149 mm Alveolar air does not have the same concentrations of Hg in the humidified air, and it dilutes the nitrogen partial gases as atmospheric air (Table 40-1). There are several pressure from 597 to 563 mm Hg. reasons for the differences. First, alveolar air is only par- tially replaced by atmospheric air with each breath. Sec- Alveolar Air Is Slowly Renewed by ond, O2 is constantly being absorbed into the pulmonary Atmospheric Air blood from the alveolar air. Third, CO2 is constantly dif- In Chapter 38, we pointed out that the average functional fusing from the pulmonary blood into the alveoli. And residual capacity of the lungs (the volume of air remain- fourth, dry atmospheric air that enters the respiratory ing in the lungs at the end of normal expiration) measures passages is humidified even before it reaches the alveoli. about 2300 ml in men. Yet only 350 ml of new air is brought into the alveoli with each normal inspiration, and this same Air Is Humidified in the Respiratory amount of old alveolar air is expired. Therefore, the volume Passages of alveolar air replaced by new atmospheric air with each Table 40-1 shows that atmospheric air is composed almost breath is only one-seventh of the total, so multiple breaths entirely of nitrogen and O2; it normally contains almost no are required to exchange most of the alveolar air. Figure 40-2 CO2 and little water vapor. However, as soon as the atmo- shows this slow rate of renewal of the alveolar air. In the first spheric air enters the respiratory passages, it is exposed to alveolus of the figure, excess gas is present in the alveoli, but the fluids that cover the respiratory surfaces. Even before the note that even at the end of 16 breaths, the excess gas still has air enters the alveoli, it becomes almost totally humidified. not been completely removed from the alveoli. The partial pressure of water vapor at a normal body Figure 40-3 demonstrates graphically the rate at which temperature of 37°C is 47 mm Hg, which is therefore the excess gas in the alveoli is normally removed, showing partial pressure of water vapor in the alveolar air. Because that with normal alveolar ventilation, about half the gas is the total pressure in the alveoli cannot rise to more than removed in 17 seconds. When a person’s rate of alveolar the atmospheric pressure (760 mm Hg at sea level), this ventilation is only half-normal, half of the gas is removed water vapor simply dilutes all the other gases in the in 34 seconds, and when the rate of ventilation is twice inspired air. Table 40-1 also shows that humidification of normal, half is removed in about 8 seconds. 513 UNIT VII Respiration 100 Upper limit at maximum ventilation 150 (% of original concentration) 250 ml O2/min Alveolar partial pressure Concentration of gas 80 1 /2 125 of oxygen (mm Hg) no rm al 100 A Normal alveolar PO2 No 60 alv eo r al lar m al ven 2× ve tilat 75 40 ola ion no r ve rm ntil 50 atio 20 al al ve n 1000 ml O2/min ola 25 r ven tilation 0 0 0 10 20 30 40 50 60 0 5 10 15 20 25 30 35 40 Time (seconds) Alveolar ventilation (L/min) Figure 40-3. Rate of removal of excess gas from alveoli. Figure 40-4. Effect of alveolar ventilation on the alveolar partial pres- sure of oxygen (PO2) at two rates of oxygen absorption from the alveo- li—250 ml/min and 1000 ml/min. Point A is the normal operating point. Slow Replacement of Alveolar Air Helps Stabilize Res- piratory Control. The slow replacement of alveolar air is of particular importance in preventing sudden changes in 175 gas concentrations in the blood. This makes the respira- Alveolar partial pressure 150 tory control mechanism much more stable than it would of CO2 (mm Hg) be otherwise, and it helps prevent excessive increases and 125 800 ml CO2/min decreases in tissue oxygenation, tissue CO2 concentration, 100 and tissue pH when respiration is temporarily interrupted. 75 Oxygen Concentration and Partial Pressure in Alveoli 50 Normal alveolar PCO2 Oxygen is continually being absorbed from the alveoli into A 25 200 ml CO2/min the blood of the lungs, and new O2 is continually being 0 breathed into the alveoli from the atmosphere. The more 0 5 10 15 20 25 30 35 40 rapidly O2 is absorbed, the lower its concentration in the Alveolar ventilation (L/min) alveoli becomes; conversely, the more rapidly new O2 is Figure 40-5. Effect of alveolar ventilation on the alveolar partial breathed into the alveoli from the atmosphere, the higher pressure of carbon dioxide (PCO2) at two rates of carbon dioxide ex- its concentration becomes. Therefore, O2 concentration cretion from the blood—800 ml/min and 200 ml/min. Point A is the in the alveoli, as well as its partial pressure, is controlled normal operating point. by the following: (1) the rate of absorption of O2 into the blood; and (2) the rate of entry of new O2 into the lungs by the ventilatory process. CO2 Concentration and Partial Pressure in Figure 40-4 shows the effect of alveolar ventilation Alveoli and rate of O2 absorption into the blood on the alveolar Carbon dioxide is continually formed in the body and Po2. One curve represents O2 absorption at a rate of 250 then carried in the blood to the alveoli; it is continually ml/min, and the other curve represents a rate of 1000 ml/ removed from the alveoli by ventilation. Figure 40-5 min. At a normal ventilatory rate of 4.2 L/min and an O2 shows the effects on the alveolar partial pressure of Pco2 consumption of 250 ml/min, the normal operating point of both alveolar ventilation and two rates of CO2 excre- in Figure 40-4 is point A. The figure also shows that when tion, 200 and 800 ml/min. One curve represents a normal 1000 ml of O2 is being absorbed each minute, as during rate of CO2 excretion of 200 ml/min. At the normal rate of moderate exercise, the rate of alveolar ventilation must alveolar ventilation of 4.2 L/min, the operating point for increase fourfold to maintain the alveolar Po2 at the nor- alveolar Pco2 is at point A in Figure 40-5 (i.e., 40 mm Hg). mal value of 104 mm Hg. Two other facts are also evident from Figure 40-5. Another effect shown in Figure 40-4 is that even an First, the alveolar Pco2 increases directly in proportion to extreme increase in alveolar ventilation can never increase the rate of CO2 excretion, as represented by the fourfold the alveolar Po2 above 149 mm Hg as long as the person elevation of the curve (when 800 ml of CO2 are excreted is breathing normal atmospheric air at sea level pressure, per minute). Second, the alveolar Pco2 decreases in because 149 mm Hg is the maximum Po2 in humidified inverse proportion to alveolar ventilation. Therefore, the air at this pressure. If the person breathes gases that con- concentrations and partial pressures of both O2 and CO2 tain partial pressures of O2 higher than 149 mm Hg, the in the alveoli are determined by the rates of absorption or alveolar Po2 can approach these higher pressures at high excretion of the two gases and by the amount of alveolar rates of ventilation. ventilation. 514 Chapter 40 Principles of Gas Exchange; Diffusion of Oxygen and Carbon Dioxide Through the Respiratory Membrane 160 Pressures of O2 and CO2 140 120 Oxygen (Po2) UNIT VII 100 (mm Hg) Dead Alveolar air 80 space and dead Alveolar air 60 air space air Carbon dioxide (Pco2) 40 20 0 100μ 0 100 200 300 400 500 Air expired (milliliters) Figure 40-6. Oxygen and carbon dioxide partial pressures (PO2 and A PCO2) in the various portions of normal expired air. Alveolus Terminal bronchiole Alveolus Interstitial space Smooth Capillaries muscle Lymphatic Alveolus vessel Respiratory bronchiole Perivascular Vein Artery interstitial space Alveolus Alveolar duct B Elastic Figure 40-8. A, Surface view of capillaries in an alveolar wall. B, fibers Cross-sectional view of alveolar walls and their vascular supply. (A, Alveolar sacs From Maloney JE, Castle BL: Pressure-diameter relations of capillar- ies and small blood vessels in frog lung. Respir Physiol 7:150, 1969.) alveolar air is expired at the end of expiration. Therefore, the method of collecting alveolar air for study is simply to collect a sample of the last portion of the expired air after forceful expiration has removed all the dead space air. Normal expired air, containing both dead space air and alveolar air, has gas concentrations and partial pressures ap- proximately as shown in Table 40-1 (i.e., concentrations be- Figure 40-7. Respiratory unit. tween those of alveolar air and humidified atmospheric air). Expired Air Is a Combination of Dead Space Air and DIFFUSION OF GASES THROUGH THE Alveolar Air RESPIRATORY MEMBRANE The overall composition of expired air is determined by the following: (1) the amount of the expired air that is dead Respiratory Unit. Figure 40- 7 shows the respira- space air; and (2) the amount that is alveolar air. Figure tory unit (also called respiratory lobule), which is 40-6 shows the progressive changes in O2 and CO2 partial composed of a respiratory bronchiole, alveolar pressures in the expired air during the course of expiration. ducts, atria, and alveoli. There are about 300 mil- The first portion of this air, the dead space air from the res- lion alveoli in the two lungs, and each alveolus has piratory passageways, is typical humidified air, as shown an average diameter of about 0.2 millimeter. The in Table 40-1. Then, progressively more and more alveo- alveolar walls are extremely thin, and between the lar air becomes mixed with the dead space air until all the alveoli is an almost solid network of interconnect- dead space air has finally been washed out, and nothing but ing capillaries, shown in Figure 40- 8. Because of 515 UNIT VII Respiration Epithelial 5. A capillary basement membrane that in many places Alveolar basement fuses with the alveolar epithelial basement membrane epithelium membrane 6. The capillary endothelial membrane Despite the large number of layers, the overall thick- ness of the respiratory membrane in some areas is as little as 0.2 micrometer and averages about 0.6 microm- eter, except where there are cell nuclei. From histological Fluid and studies, it has been estimated that the total surface area surfactant layer of the respiratory membrane is about 70 square meters in Capillary healthy men, which is equivalent to the floor area of a 25 × 30-foot room. The total quantity of blood in the capillar- Alveolus ies of the lungs at any given instant is 60 to 140 ml. Now, imagine this small amount of blood spread over the entire Diffusion O2 surface of a 25 × 30-foot floor, and it is easy to understand the rapidity of the respiratory exchange of O2 and CO2. Diffusion CO2 The average diameter of the pulmonary capillaries is only about 5 micrometers, which means that red blood cells must squeeze through them. The red blood cell membrane usually touches the capillary wall, so O2 and CO2 need not pass through significant amounts of plasma as they diffuse between the alveolus and red blood cell. This, too, increases the rapidity of diffusion. Red blood cell Factors Affecting Rate of Gas Diffusion Through the Respiratory Membrane Referring to the earlier discussion of diffusion of gases in Capillary endothelium water, one can apply the same principles to diffusion of Interstitial space Capillary basement membrane gases through the respiratory membrane. Thus, the fac- Figure 40-9. Ultrastructure of the alveolar respiratory membrane, tors that determine how rapidly a gas will pass through shown in cross section. the membrane are the following: (1) the thickness of the membrane; (2) the surface area of the membrane; (3) the the extensiveness of the capillary plexus, the flow diffusion coefficient of the gas in the substance of the of blood in the alveolar wall has been described as membrane; and (4) the partial pressure difference of the a sheet of flowing blood. Thus, it is obvious that gas between the two sides of the membrane. the alveolar gases are in very close proximity to the The thickness of the respiratory membrane occasionally blood of the pulmonary capillaries. Furthermore, increases—for example, as a result of edema fluid in the gas exchange between the alveolar air and pulmo- interstitial space of the membrane and in the alveoli—so nary blood occurs through the membranes of all the the respiratory gases must then diffuse not only through terminal portions of the lungs, not merely in the al- the membrane but also through this fluid. Also, some pul- veoli. All these membranes are collectively known monary diseases cause fibrosis of the lungs, which can as the respiratory membrane, also called the pulmo- increase the thickness of some portions of the respira- nary membrane. tory membrane. Because the rate of diffusion through the membrane is inversely proportional to the thickness of the Respiratory Membrane. Figure 40-9 shows the ultra- membrane, any factor that increases the thickness to more structure of the respiratory membrane drawn in cross than two to three times normal can interfere significantly section on the left and a red blood cell on the right. It with normal respiratory exchange of gases. also shows diffusion of O2 from the alveolus into the red The surface area of the respiratory membrane can blood cell and diffusion of CO2 in the opposite direc- be greatly decreased by many conditions. For example, tion. Note the following different layers of the respiratory removal of an entire lung decreases the total surface area membrane: to half-normal. Also, in emphysema, many of the alveoli 1. A layer of fluid containing surfactant that lines the al- coalesce, with dissolution of many alveolar walls. There- veolus and reduces the surface tension of alveolar fluid fore, the new alveolar chambers are much larger than the 2. The alveolar epithelium, composed of thin epithelial original alveoli, but the total surface area of the respira- cells tory membrane is often decreased as much as fivefold 3. An epithelial basement membrane because of loss of the alveolar walls. When the total sur- 4. A thin interstitial space between the alveolar epi- face area is decreased to about one-third to one-fourth thelium and capillary membrane normal, exchange of gases through the membrane is 516 Chapter 40 Principles of Gas Exchange; Diffusion of Oxygen and Carbon Dioxide Through the Respiratory Membrane substantially impeded, even under resting conditions, and 1300 Resting during competitive sports and other strenuous exercise, 1200 Exercise even the slightest decrease in surface area of the lungs can be a serious detriment to respiratory exchange of gases. 1100 The diffusion coefficient for transfer of each gas through UNIT VII Diffusing capacity (ml/min/mm Hg) 1000 the respiratory membrane depends on the gas’s solubility in the membrane and, inversely, on the square root of the 900 gas’s molecular weight. The rate of diffusion in the respira- 800 tory membrane is almost exactly the same as that in water, 700 for reasons explained earlier. Therefore, for a given pres- sure difference, CO2 diffuses about 20 times as rapidly as 600 O2. Oxygen diffuses about twice as rapidly as nitrogen. 500 The pressure difference across the respiratory membrane is the difference between the partial pressure of the gas in 400 the alveoli and the partial pressure of the gas in the pul- 300 monary capillary blood. Therefore, the difference between these two pressures is a measure of the net tendency for the 200 gas molecules to move through the membrane. 100 When the partial pressure of a gas in the alveoli is greater than the pressure of the gas in the blood, as is true 0 for O2, net diffusion from the alveoli into the blood occurs. CO O2 CO2 When the pressure of the gas in the blood is greater than Figure 40-10. Diffusing capacities for carbon monoxide, oxygen, the partial pressure in the alveoli, as is true for CO2, net and carbon dioxide in the normal lungs under resting conditions and diffusion from the blood into the alveoli occurs. during exercise. Diffusing Capacity of the Respiratory blood, called the ventilation-perfusion ratio, explained later Membrane in this chapter. Therefore, during exercise, oxygenation of The ability of the respiratory membrane to exchange a gas the blood is increased not only by increased alveolar venti- between the alveoli and pulmonary blood is expressed in lation but also by greater diffusing capacity of the respira- quantitative terms by the respiratory membrane’s diffusing tory membrane for transporting O2 into the blood. capacity, which is defined as the volume of a gas that will Diffusing Capacity for Carbon Dioxide. The diffusing diffuse through the membrane each minute for a partial pressure difference of 1 mm Hg. All the factors discussed capacity for CO2 has never been measured because CO2 earlier that affect diffusion through the respiratory mem- diffuses through the respiratory membrane so rapidly that brane can affect this diffusing capacity. the average Pco2 in the pulmonary blood is not very dif- ferent from the Pco2 in the alveoli—the average difference Diffusing Capacity for Oxygen. In the average young is less than 1 mm Hg. With currently available techniques, man, the diffusing capacity for O2 under resting conditions this difference is too small to be measured. averages 21 ml/min per mm Hg. In functional terms, what Nevertheless, measurements of diffusion of other gases does this mean? The mean O2 pressure difference across have shown that the diffusing capacity varies directly with the respiratory membrane during normal quiet breathing is the diffusion coefficient of the particular gas. Because the about 11 mm Hg. Multiplying this pressure by the diffusing diffusion coefficient of CO2 is slightly more than 20 times capacity (11 × 21) gives a total of about 230 ml of oxygen that of O2, one would expect a diffusing capacity for CO2 diffusing through the respiratory membrane each minute, under resting conditions of about 400 to 450 ml/min per which is equal to the rate at which the resting body uses O2. mm Hg and during exercise of about 1200 to 1300 ml/ min per mm Hg. Figure 40-10 compares the measured Increased Oxygen Diffusing Capacity During Exercise. or calculated diffusing capacities of carbon monoxide, O2, During strenuous exercise or other conditions that greatly and CO2 at rest and during exercise, showing the extreme increase pulmonary blood flow and alveolar ventilation, the diffusing capacity of CO2 and the effect of exercise on the diffusing capacity for O2 increases to about three times the diffusing capacity of each of these gases. diffusing capacity under resting conditions. This increase is caused by several factors, including the following: (1) Measurement of Diffusing Capacity—Carbon Monox- opening up of many previously dormant pulmonary capil- ide Method. The O2 diffusing capacity can be calculated from measurements of the following: (1) alveolar Po2; (2) laries or extra dilation of already open capillaries, thereby Po2 in the pulmonary capillary blood; and (3) the rate of increasing the surface area of the blood into which the O2 O2 uptake by the blood. However, measuring the Po2 in the can diffuse; and (2) a better match between the ventilation pulmonary capillary blood is so difficult and imprecise that of the alveoli and perfusion of the alveolar capillaries with 517 UNIT VII Respiration 50 v VA/Q = 0 it is not practical to measure oxygen diffusing capacity by VA/Q = Normal such a direct procedure, except on an experimental basis. 40 (PO2 = 40) To obviate the difficulties encountered in measuring ox- (PCO2 = 45) PCO2 (mm Hg) ygen diffusing capacity directly, physiologists usually meas- Normal 30 alveolar air ure carbon monoxide (CO) diffusing capacity instead and then calculate the O2 diffusing capacity from this. The prin- (PO2 = 104) 20 (PCO2 = 40) ciple of the CO method is as follows. A small amount of CO is breathed into the alveoli, and the partial pressure of the CO in the alveoli is measured from appropriate alveolar air 10 (PO2 = 149) VA/Q = ∞ (PCO2 = 0) I samples. The CO pressure in the blood is essentially zero because hemoglobin combines with this gas so rapidly that 0 20 40 60 80 100 120 140 160 its pressure never has time to build up. Therefore, the pres- PO2 (mm Hg) sure difference of CO across the respiratory membrane is equal to its partial pressure in the alveolar air sample. Then, Figure 40-11. Normal partial pressure of oxygen (PO2)–partial pres- by measuring the volume of CO absorbed in a short period sure of carbon dioxide (PCO2) ventilation-perfusion ( 6̇! 1̇) ratio (PO2- PCO2, ( 6̇! 1̇) diagram. and dividing this by the alveolar CO partial pressure, one can determine the CO diffusing capacity accurately. To convert CO diffusing capacity to O2 diffusing capac- cause these gases diffuse between the blood and alveolar air. ity, the value is multiplied by a factor of 1.23 because the Because the blood that perfuses the capillaries is venous blood diffusion coefficient for O2 is 1.23 times that for CO. Thus, returning to the lungs from the systemic circulation, it is the the average diffusing capacity for CO in healthy young men gases in this blood with which the alveolar gases equilibrate. at rest is 17 ml/min per mm Hg, and the diffusing capacity In Chapter 41, we describe how the normal venous blood ( V ) for O2 is 1.23 times this, or 21 ml/min per mm Hg. has a Po2 of 40 mm Hg and a Pco2 of 45 mm Hg. Therefore, these are also the normal partial pressures of these two gases Effect of Ventilation-Perfusion Ratio on Alveolar Gas in alveoli that have blood flow but no ventilation. Concentration Alveolar Oxygen and Carbon Dioxide Partial Pressures Earlier in this chapter, we learned that two factors deter- When V̇A /Q̇ Equals Infinity. The effect on the alveolar gas mine the Po2 and Pco2 in the alveoli: (1) the rate of alveo- partial pressures when 7̇" 2̇ equals infinity is entirely dif- lar ventilation; and (2) the rate of transfer of O2 and CO2 ferent from the effect when 7̇" 2̇ equals zero because now through the respiratory membrane. This discussion made there is no capillary blood flow to carry O2 away or to bring the assumption that all the alveoli are ventilated equally, CO2 to the alveoli. Therefore, instead of the alveolar gases and that blood flow through the alveolar capillaries is the coming to equilibrium with the venous blood, the alveolar same for each alveolus. However, even normally to some air becomes equal to the humidified inspired air. That is, extent, and especially in many lung diseases, some areas the air that is inspired loses no O2 to the blood and gains of the lungs are well ventilated but have almost no blood no CO2 from the blood. Furthermore, because normal flow, whereas other areas may have excellent blood flow inspired and humidified air has a Po2 of 149 mm Hg and but little or no ventilation. In either of these conditions, a Pco2 of 0 mm Hg, these will be the partial pressures of gas exchange through the respiratory membrane is seri- these two gases in the alveoli. ously impaired, and the person may suffer severe respira- Gas Exchange and Alveolar Partial Pressures When tory distress, despite normal total ventilation and normal 6̇! 1̇ Is Normal. When there is both normal alveolar total pulmonary blood flow, but with the ventilation and ventilation and normal alveolar capillary blood flow blood flow going to different parts of the lungs. Therefore, (normal alveolar perfusion), exchange of O2 and CO2 a highly quantitative concept has been developed to help us through the respiratory membrane is nearly optimal, understand respiratory exchange when there is imbalance and alveolar Po2 is normally at a level of 104 mm Hg, between alveolar ventilation and alveolar blood flow. This which lies between that of the inspired air (149 mm Hg) concept is called the ventilation-perfusion ratio. and that of venous blood (40 mm Hg). Likewise, alveolar In quantitative terms, the ventilation-perfusion ratio is ex- Pco2 lies between two extremes; it is normally 40 mm pressed as 7̇" 2̇. When 7̇" (alveolar ventilation) is normal Hg, in contrast to 45 mm Hg in venous blood and 0 mm for a given alveolus, and 2̇ (blood flow) is also normal for the Hg in inspired air. Thus, under normal conditions, the same alveolus, the ventilation-perfusion ratio (7̇" 2̇ ) is also alveolar air Po2 averages 104 mm Hg and the Pco2 aver- said to be normal. When the ventilation (7̇") is zero, yet there ages 40 mm Hg. is still perfusion (2̇ ) of the alveolus, the 7̇" 2̇ is zero. Or, at the other extreme, when there is adequate ventilation (7̇") but Po2-Pco2, V̇A/Q̇ Diagram zero perfusion (2̇ ), the ratio 7̇" 2̇ is infinity. At a ratio of ei- The concepts presented in the preceding sections are ther zero or infinity, there is no exchange of gases through the shown in graphic form in Figure 40-11, called the Po2- respiratory membrane of the affected alveoli. Therefore, let us Pco2, 7̇" 2̇ diagram. The curve in the diagram represents explain the respiratory consequences of these two extremes. all possible Po2 and Pco2 combinations between the limits Alveolar Oxygen and Carbon Dioxide Partial Pres- of 7̇" 2̇ equals zero and 7̇" 2̇ equals infinity when the gas sures When 6̇! 1̇ Equals Zero. When 7̇" 2̇ is equal to pressures in the venous blood are normal, and the person is zero—that is, without any alveolar ventilation—the air in the breathing air at sea level pressure. Thus, point 7̇" 2̇ is the alveolus comes to equilibrium with the blood O2 and CO2 be- plot of Po2 and Pco2 when 7̇" 2̇ equals zero. At this point, 518 Chapter 40 Principles of Gas Exchange; Diffusion of Oxygen and Carbon Dioxide Through the Respiratory Membrane _ the Po2 is 40 mm Hg, and the Pco2 is 45 mm Hg, which are arterial blood, and Pe co2 is the average partial pressure of the values in normal venous blood. CO2 in the entire expired air. At the other end of the curve, when 7̇" 2̇ equals infin- When the physiological dead space is great, much of the ity, point I represents inspired air, showing Po2 to be 149 work of ventilation is wasted effort because so much of the mm Hg while Pco2 is zero. Also plotted on the curve is ventilating air never reaches the blood. UNIT VII the point that represents normal alveolar air when 7̇" 2̇ is normal. At this point, Po2 is 104 mm Hg, and Pco2 is 40 Abnormalities of Ventilation-Perfusion Ratio mm Hg. Abnormal 6̇! 1̇ in Upper and Lower Normal Lung. In a healthy person in the upright position, both pulmonary Concept of Physiological Shunt (When V̇A/Q̇ Is Below capillary blood flow and alveolar ventilation are consider- Normal) ably less in the upper part of the lung than in the lower Whenever 7̇" 2̇ is below normal, there is inadequate ven- part; however, the decrease of blood flow is considerably tilation to provide the O2 needed to fully oxygenate the greater than the decrease in ventilation. Therefore, at the blood flowing through the alveolar capillaries. Therefore, top of the lung, 7̇" 2̇ is as much as 2.5 times as great as the a certain fraction of the venous blood passing through the ideal value, which causes a moderate degree of physiologi- pulmonary capillaries does not become oxygenated. This cal dead space in this area of the lung. fraction is called shunted blood. Also, some additional At the other extreme, at the bottom of the lung, there blood flows through bronchial vessels rather than through is slightly too little ventilation in relation to blood flow, alveolar capillaries, normally about 2% of the cardiac out- with 7̇" 2̇ as low as 0.6 times the ideal value. In this area, put; this, too, is unoxygenated, shunted blood. a small fraction of the blood fails to become normally oxy- The total quantitative amount of shunted blood per min- genated, and this represents a physiological shunt. ute is called the physiological shunt. This physiological shunt In both extremes, inequalities of ventilation and perfu- is measured in clinical pulmonary function laboratories by sion slightly decrease the lung’s effectiveness for exchang- analyzing the concentration of O2 in both mixed venous ing O2 and CO2. However, during exercise, blood flow to blood and arterial blood, along with simultaneous measure- the upper part of the lung increases markedly, so far less ment of cardiac output. From these values, the physiological physiological dead space occurs, and the effectiveness of shunt can be calculated by the following equation: gas exchange now approaches optimum. Q̇PS CiO2 − CaO2 Abnormal V̇A/Q̇ in Chronic Obstructive Lung Disease = Q̇T CiO2 − CvO2 Most people who smoke for many years develop various degrees of bronchial obstruction; in many of them, this in which 2̇14 is the physiological shunt blood flow per condition eventually becomes so severe that serious al- minute, 2̇5 is cardiac output per minute, CiO2 is the concen- veolar air trapping develops, with resultant emphysema. tration of oxygen in the arterial blood if there is an “ideal” The emphysema, in turn, causes many of the alveolar walls ventilation-perfusion ratio, CaO2 is the measured concen- to be destroyed. Thus, two abnormalities occur in smok- _ tration of oxygen in the arterial blood, and Cv O2 is the meas- ers to cause abnormal 7̇" 2̇. First, because many of the ured concentration of oxygen in the mixed venous blood. small bronchioles are obstructed, the alveoli beyond the The greater the physiological shunt, the greater the obstructions are unventilated, causing a 7̇" 2̇ that ap- amount of blood that fails to be oxygenated as it passes proaches zero. Second, in the areas of the lung where the through the lungs. alveolar walls have mainly been destroyed but there is still alveolar ventilation, most of the ventilation is wasted Concept of Physiological Dead Space When V̇A/Q̇ because of inadequate blood flow to transport the blood Greater Than Normal gases. When ventilation of some of the alveoli is great but alveo- Thus, in chronic obstructive lung disease, some areas of lar blood flow is low, there is far more available oxygen in the lung exhibit serious physiological shunt, and other areas the alveoli than can be transported away from the alveoli exhibit serious physiological dead space. Both conditions by the flowing blood. Thus, the ventilation of these alve- tremendously decrease the effectiveness of the lungs as gas oli is said to be wasted. The ventilation of the anatomical exchange organs, sometimes reducing their effectiveness to dead space areas of the respiratory passageways is also as little as one-tenth normal. In fact, this condition is the wasted. The sum of these two types of wasted ventila- most prevalent cause of pulmonary disability today. tion is called the physiological dead space. This space is measured in the clinical pulmonary function laboratory by making appropriate blood and expiratory gas meas- Bibliography urements and by using the following equation, called the Clark A, Tawhai M: Pulmonary vascular dynamics. Compr Physiol Bohr equation: 9:1081, 2019. Del Buono MG, Arena R, Borlaug BA, Carbone S, et al: Exercise intol- V̇Dphys PaCO2 − PeCO2 = erance in patients with heart failure: JACC state-of-the-art review. V̇T PaCO2 J Am Coll Cardiol 73:2209, 2019. Dempsey TM, Scanlon PD: Pulmonary function tests for the general- in which 7̇%QIZT is the physiological dead space, 7̇5 is ist: a brief review. Mayo Clin Proc 93:763, 2018. the tidal volume, Paco2 is the partial pressure of CO2 in the Glenny RW, Robertson HT: Spatial distribution of ventilation and per- fusion: mechanisms and regulation. Compr Physiol 1:375, 2011. 519 UNIT VII Respiration Hsia CC, Hyde DM, Weibel ER: Lung structure and the intrinsic chal- Robertson HT: Dead space: the physiology of wasted ventilation. Eur lenges of gas exchange. Compr Physiol 6:827, 2016. Respir J 45:1704, 2015. Molgat-Seon Y, Schaeffer MR, Ryerson CJ, Guenette JA: Exer- Skloot GS: The Effects of aging on lung structure and function. Clin cise pathophysiology in interstitial lung disease. Clin Chest Med Geriatr Med 33:447, 2017. 40:405, 2019. Stickland MK, Lindinger MI, Olfert IM, Heigenhauser GJ, Hopkins SR: Naeije R, Chesler N: Pulmonary circulation at exercise. Compr Physiol Pulmonary gas exchange and acid-base balance during exercise. 2:711, 2012. Compr Physiol 3:693, 2013. Neder JA, Berton DC, Muller PT, O’Donnell DE: Incorporating lung Wagner PD: The physiological basis of pulmonary gas exchange: diffusing capacity for carbon monoxide in clinical decision making implications for clinical interpretation of arterial blood gases. Eur in chest medicine. Clin Chest Med 40:285, 2019. Respir J 45:227, 2015 O’Donnell DE, James MD, Milne KM, Neder JA: the pathophysiology Weibel ER: Lung morphometry: the link between structure and func- of dyspnea and exercise intolerance in chronic obstructive pulmo- tion. Cell Tissue Res 367:413, 2017. nary disease. Clin Chest Med 40:343, 2019. West JB: Role of the fragility of the pulmonary blood-gas barrier in Rahn H, Farhi EE: Ventilation, perfusion, and gas exchange—the Va/Q the evolution of the pulmonary circulation. Am J Physiol Regul In- concept. In: Fenn WO, Rahn H (eds): Handbook of Physiology. Sec tegr Comp Physiol 304:R171, 2013. 3, Vol 1. Baltimore: Williams & Wilkins, 1964, p 125. 520

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