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Diffusing capacity

From Wikipedia, the free encyclopedia

Diffusing capacity
MeSHD011653
Other codesCPT: 94720

Diffusing capacity of the lung (DL) (also known as Transfer factor) measures the transfer of gas from air in the lung, to the red blood cells in lung blood vessels. It is part of a comprehensive series of pulmonary function tests to determine the overall ability of the lung to transport gas into and out of the blood. DL, especially DLCO, is reduced in certain diseases of the lung and heart. DLCO measurement has been standardized according to a position paper[1] by a task force of the European Respiratory and American Thoracic Societies.

In respiratory physiology, the diffusing capacity has a long history of great utility, representing conductance of gas across the alveolar-capillary membrane and also takes into account factors affecting the behaviour of a given gas with hemoglobin.[citation needed]

The term may be considered a misnomer as it represents neither diffusion nor a capacity (as it is typically measured under submaximal conditions) nor capacitance. In addition, gas transport is only diffusion limited in extreme cases, such as for oxygen uptake at very low ambient oxygen or very high pulmonary blood flow.[citation needed]

The diffusing capacity does not directly measure the primary cause of hypoxemia, or low blood oxygen, namely mismatch of ventilation to perfusion:[2]

  • Not all pulmonary arterial blood goes to areas of the lung where gas exchange can occur (the anatomic or physiologic shunts), and this poorly oxygenated blood rejoins the well oxygenated blood from healthy lung in the pulmonary vein. Together, the mixture has less oxygen than that blood from the healthy lung alone, and so is hypoxemic.
  • Similarly, not all inspired air goes to areas of the lung where gas exchange can occur (the anatomic and the physiological dead spaces), and so is wasted.

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Transcription

So imagine you have a molecule of oxygen. It has to first get into your mouth. Or I guess, it could also go through your nose. And it's going to join up, either way, and go down into your trachea. And from there, it can split off to your left lung or your right lung. Let's say that we're facing this person. On the left, you've got one big lung over here, with a little cardiac notch for the heart. And the right side, you've got the second lung, of course. And this one does not have any spot for the heart, because it sits on the other side. And what I want to do is actually zoom in and focus on this little aveolus right here, because we know we have millions of these alveoli in the lungs. And that's where all the gas exchange is happening. But exactly what happens needs to be clarified. We need to kind of zoom in and get some details. So let's focus in on what happens here between the alveolus, which is the last part of that bronchial tree and the blood vessel. I'm actually going to speed this up for you. [MUSIC PLAYING] So there you have all the layers between the alveolus and the capillary, pretty impressive, huh. And we have this molecule of oxygen. I'm drawing a circle around it. It's going to make its way from this alveolus out of the gas. And first it's going to have to go into the liquid phase. That's kind of a big deal. It's going to enter this thin layer of fluid, which coats the inside of the alveolus. Then the molecule of oxygen is going to go through the epithelial cells. Those are the cells that kind of make the walls of the alveolus look the way it does. Those are kind of the flat, pancake-shaped cells. And it's going to go to the base membrane. This base membrane, remember, is kind of a foundation. It offers a lot of structural support to the lungs. And below the base membrane, it has this layer of connective tissue that this molecule of oxygen has to get through, enters another layer of base membrane. And then it goes down into the endothelial cells. These are the cells that are also kind of pancake shaped. And these are going to make the walls of the capillary. From there, the oxygen molecule goes into the plasma and then finally gets into the red blood cell. And of course, the red blood cells are packed full of hemoglobin. So this is a little hemoglobin protein here. And this hemoglobin has four spots on it. It's going to allow four molecules of oxygen to bind it. And so once our oxygen gets there, it's going to hope to find some hemoglobin that it's got a little free spot. And once it binds to the hemoglobin, the red blood cell is going to now carry that oxygen out to the rest of the body, wherever it's needed. So that's kind of how oxygen gets from the alveolus out to the body. Now, let me make a little bit of space. I'm going to show you what I want to do. I want to do kind of an interesting thing here. Hopefully, it'll help you understand this journey that the oxygen molecule is taking a little bit better. So let's imagine something like this, where you've got a nice little rectangle. I'm going to try to draw this rectangle out on the side for you, in kind of the same way I'm drawing it here. So just keep your eye on the colors, because I'm not going to relabel anything, just to kind of keep it nice and easy. What I'm going to do is just imagine that the oxygen is starting at the top of this rectangular three-dimensional square-like object I'm drawing, I guess, a three-dimensional cube, rectangular cubed. And then it's got to get to the bottom of this rectangular cube. So at the bottom, we've got the red blood cell and the hemoglobin. That's the last layer down here. And the top layer was the alveolus or the gas. So I actually sketched that in as well. And so that would be the very top layer. And it has to get through all these layers. This blue layer, for example, this is that liquid that's lining the inside of the alveolus. And let me draw a molecule of oxygen starting its journey up here. That's the gas phase, right. So it has to actually get from the gas stage through the liquid layer, into the next layer, which is the epithelial cell. That's this guy right here. That's the second layer. Third layer, we said was the base membrane. I'm just kind of going through them one by one. And this is also kind of a nice way of a review, I suppose, as well. Then you have all that connective tissue, a nice, thick layer of connective tissue. That's the green. And remember, the base membrane and the connective tissue, they're both chock full of proteins, different types of proteins. But both are there for structural support. Got some more base membrane here on this side, and this is going to be right before you get to the endothelial cells. That was the endothelial layer. This is the cell that kind of offers the capillary walls. And then we've got some plasma, we said. The oxygen has to get through some plasma and finally is going to get into the red blood cell. So this whole bit, the reason I'm even drawing it like this or taking the time to draw it like this is that this entire layer right here-- this is all liquid. This is all liquid and predominately water. So remember, our bodies are heavily water-based. So our molecule literally is going from gas, which is at the top of our rectangular cube, all the way down through many, many different layers of liquid. So it kind of makes it easy, if you can divide it into these two categories, gas and liquid. In fact, this is now, hopefully, going to help connect with these equations that we've been learning. So now, let me throw up a couple of equations that we've talked about before. And let's see if we can figure out how they relate to what we're going through now and whether there's any clear relationship as to how to use these pictures that we've drawn up. So this first equation, this is the alveolar gas equation. We've talked about this before. There's a video on this as well, if you want to refresh yourself. The first part of this alveolar gas equation tells us how much oxygen is going into the alveolus. Remember, this top layer right here. This is our alveolus right here. So it says how much oxygen is going into that alveolus. And this is actually the second bit is how much is going out. And if you, of course, subtract what's going in from what's going out, you're left with, what is the partial pressure of oxygen in that gas space. What is this blue PO2 equal? And this is actually kind of a nice segue for our second equation. We have this second equation, which helps us figure out how much oxygen is going to defuse, or any molecule really, according to this formula. This is fixed law. And we can actually figured it out, by taking a few parameters. We can say, well, if you know that the gradient P1 minus P2 is a certain amount. And if you know the area and the diffusion coefficient and the thickness, then you can figure out this V. And this V really the amount of oxygen, in this case. And we're going to focus on oxygen right now. Amount of oxygen defusing over time-- so this is actually very helpful, because if you start noticing that the amount of oxygen defusing over time and the oxygen delivery that's coming into the red blood cells is low, then you might show wondering why that could be. And remember, the red blood cell layer, that's down here. This is our red blood cell layer. So you start wondering, how is oxygen getting from that alveolus down to the red blood cells. And we can call the partial pressure of oxygen, the alveolus. We can call that P1. And we can call the partial pressure of oxygen down here into the red blood cells. We call that P2. And so then when we figure out from the alveolar gas equation what this is, that is basically telling us this. So the two equations are basically very related. So if I notice that the amount of oxygen diffusing from the alveolus to the red blood cell layer is off, if it's less or more than what I expect, I have to go through a mental checklist. I have to think, well, is the Fi O2 what I thought it was. Usually, room air is 21%. But maybe, this person is on 40% or 50%, because they're getting a face mask. And they're getting a lot more oxygen than what is in the environment. So that could be one reason for getting a higher value. You might also get a higher or lower value, because maybe you're not at sea level. Maybe we're working with a patient at a mountain level or maybe below sea level. So that could also explain an abnormal amount of oxygen defusing over time. And these two things that I've drawn in orange box, they're both going to affect P1. This is the initial partial pressure of oxygen in the alveolus. Some of these things are probably less likely to be changing. I wouldn't expect that the respiratory quotient is changing. If the person has a steady diet, then that shouldn't be any different. The partial pressure of water probably also isn't changing, especially if we're at body temperature. And the partial pressure of carbon dioxide, there, that could actually change. But just to keep things simple, and if I'm only thinking about oxygenation, I'm just going to assume that's going to be probably not the reason either. So going through my mental checklist. I know P1 is going to be something I want to think very carefully about. I also want to think really carefully about area. What if it's because the person I'm dealing with has had many alveoli that are no longer working. Let's say, only half of their alveoli are working. That means that half of their surface areas is gone. So they're really not getting as effective gas exchange, because half their surface area is gone. And effectively, only half of their alveoli are able to get oxygen to diffuse across. So surface area is very, very important to think about and as is thickness. And when I say, thickness, remember, the oxygen has to get all the way from this gas layer down into the red blood cell layer. So that's a very big way to go. And if you add a bunch of liquid to this layer right here, maybe to the connective tissue, if there's more fluid in those particular layers-- those are usually the ones affected-- then that's going to increase the thickness. So there's one more reason for why my amount of oxygen defusing over time may be off from what I had expected. And again, down here, I wouldn't expect my diffusion coefficient-- I wouldn't expect this to be different than what I had expected, because the diffusion coefficient is pretty stable. If we know that we're talking about oxygen within water, at a certain body temperature, that's not going to change a whole lot. And finally, this P2, this is the partial pressure of oxygen that was returning from the body. So if the body is using up a bunch of oxygen and returning it, what is the oxygen level in that blood that's coming back? And I wouldn't expect that to change much, because the body is probably using a fairly consistent amount of oxygen. So I'm not going to assume that's the reason. So again, if you ever come across an abnormal amount of oxygen defusing over time from the alveolus down into the blood, you've got to go through this checklist and think about these formulas and how they help us be very systematic in going through each of these variables and thinking, what could be the reason that the amount of oxygen diffusing over time is more or less than what we expect.

Testing

The single-breath diffusing capacity test is the most common way to determine .[1] The test is performed by having the subject blow out all of the air that they can, leaving only the residual lung volume of gas. The person then inhales a test gas mixture rapidly and completely, reaching the total lung capacity as nearly as possible. This test gas mixture contains a small amount of carbon monoxide (usually 0.3%) and a tracer gas that is freely distributed throughout the alveolar space but which doesn't cross the alveolar-capillary membrane. Helium and methane are two such gasses. The test gas is held in the lung for about 10 seconds during which time the CO (but not the tracer gas) continuously moves from the alveoli into the blood. Then the subject exhales.

The anatomy of the airways means inspired air must pass through the mouth, trachea, bronchi and bronchioles (anatomical dead space) before it gets to the alveoli where gas exchange will occur; on exhalation, alveolar gas must return along the same path, and so the exhaled sample will be purely alveolar only after a 500 to 1,000 ml of gas has been breathed out.[citation needed] While it is algebraically possible to approximate the effects of anatomy (the three-equation method[3]), disease states introduce considerable uncertainty to this approach. Instead, the first 500 to 1,000 ml of the expired gas is disregarded and the next portion which contain gas that has been in the alveoli is analyzed.[1] By analyzing the concentrations of carbon monoxide and inert gas in the inspired gas and in the exhaled gas, it is possible to calculate according to Equation 2. First, the rate at which CO is taken up by the lung is calculated according to:

.

 

 

 

 

(4)

The pulmonary function equipment monitors the change in the concentration of CO that occurred during the breath hold, , and also records the time .
The volume of the alveoli, , is determined by the degree to which the tracer gas has been diluted by inhaling it into the lung.

Similarly,

.

 

 

 

 

(5)

where

is the initial alveolar fractional CO concentration, as calculated by the dilution of the tracer gas.
is the barometric pressure

Other methods that are not so widely used at present can measure the diffusing capacity. These include the steady state diffusing capacity that is performed during regular tidal breathing, or the rebreathing method that requires rebreathing from a reservoir of gas mixtures.

Calculation

The diffusion capacity for oxygen is the proportionality factor relating the rate of oxygen uptake into the lung to the oxygen gradient between the capillary blood and the alveoli (per Fick's laws of diffusion). In respiratory physiology, it is convenient to express the transport of gas molecules as changes in volume, since (i.e., in a gas, a volume is proportional to the number of molecules in it). Further, the oxygen concentration (partial pressure) in the pulmonary artery is taken to be representative of capillary blood. Thus, can be calculated as the rate that oxygen is taken up by the lung divided by the oxygen gradient between the alveoli ("A") and the pulmonary artery ("a").

 

 

 

 

(1)

(For , say "V dot". This is the notation of Isaac Newton for a first derivative (or rate) and is commonly used in respiratory physiology for this purpose.)
is the rate that oxygen is taken up by the lung (ml/min).
is the partial pressure of oxygen in the alveoli.
is the partial pressure of oxygen in the pulmonary artery.
is the partial pressure of oxygen in the systemic veins (where it can actually be measured).

Thus, the higher the diffusing capacity , the more gas will be transferred into the lung per unit time for a given gradient in partial pressure (or concentration) of the gas. Since it can be possible to know the alveolar oxygen concentration and the rate of oxygen uptake - but not the oxygen concentration in the pulmonary artery - it is the venous oxygen concentration that is generally employed as a useful approximation in a clinical setting.

Sampling the oxygen concentration in the pulmonary artery is a highly invasive procedure, but fortunately another similar gas can be used instead that obviates this need (DLCO). Carbon monoxide (CO) is tightly and rapidly bound to hemoglobin in the blood, so the partial pressure of CO in the capillaries is negligible and the second term in the denominator can be ignored. For this reason, CO is generally the test gas used to measure the diffusing capacity and the equation simplifies to:

.

 

 

 

 

(2)

Interpretation

In general, a healthy individual has a value of between 75% and 125% of the average.[4] However, individuals vary according to age, sex, height and a variety of other parameters. For this reason, reference values have been published, based on populations of healthy subjects[5][6][7] as well as measurements made at altitude,[8] for children[9] and some specific population groups.[10][11][12]

Blood CO levels may not be negligible

In heavy smokers, blood CO is great enough to influence the measurement of , and requires an adjustment of the calculation when COHb is greater than 2% of the whole.

The two components of

While is of great practical importance, being the overall measure of gas transport, the interpretation of this measurement is complicated by the fact that it does not measure any one part of a multi-step process. So as a conceptual aid in interpreting the results of this test, the time needed to transfer CO from the air to the blood can be divided into two parts. First CO crosses the alveolar capillary membrane (represented by ) and then CO combines with the hemoglobin in capillary red blood cells at a rate times the volume of capillary blood present ().[13] Since the steps are in series, the conductances add as the sum of the reciprocals:

.

 

 

 

 

(3)

Any change in alters

The volume of blood in the lung capillaries, , changes appreciably during ordinary activities such as exercise. Simply breathing in brings some additional blood into the lung because of the negative intrathoracic pressure required for inspiration. At the extreme, inspiring against a closed glottis, the Müller's maneuver, pulls blood into the chest. The opposite is also true, as exhaling increases the pressure within the thorax and so tends to push blood out; the Valsalva maneuver is an exhalation against a closed airway which can move blood out of the lung. So breathing hard during exercise will bring extra blood into the lung during inspiration and push blood out during expiration. But during exercise (or more rarely when there is a structural defect in the heart that allows blood to be shunted from the high pressure, systemic circulation to the low pressure, pulmonary circulation) there is also increased blood flow throughout the body, and the lung adapts by recruiting extra capillaries to carry the increased output of the heart, further increasing the quantity of blood in the lung. Thus will appear to increase when the subject is not at rest, particularly during inspiration.

In disease, hemorrhage into the lung will increase the number of haemoglobin molecules in contact with air, and so measured will increase. In this case, the carbon monoxide used in the test will bind to haemoglobin that has bled into the lung. This does not reflect an increase in diffusing capacity of the lung to transfer oxygen to the systemic circulation.

Finally, is increased in obesity and when the subject lies down, both of which increase the blood in the lung by compression and by gravity and thus both increase .

Reasons why varies

The rate of CO uptake into the blood, , depends on the concentration of hemoglobin in that blood, abbreviated Hb in the CBC (Complete Blood Count). More hemoglobin is present in polycythemia, and so is elevated. In anemia, the opposite is true. In environments with high levels of CO in the inhaled air (such as smoking), a fraction of the blood's hemoglobin is rendered ineffective by its tight binding to CO, and so is analogous to anemia. It is recommended that be adjusted when blood CO is high.[1]

The lung blood volume is also reduced when blood flow is interrupted by blood clots (pulmonary emboli) or reduced by bone deformities of the thorax, for instance scoliosis and kyphosis.

Varying the ambient concentration of oxygen also alters . At high altitude, inspired oxygen is low and more of the blood's hemoglobin is free to bind CO; thus is increased and appears to be increased. Conversely, supplemental oxygen increases Hb saturation, decreasing and .

Lung diseases that reduce and

Diseases that alter lung tissue reduce both and to a variable extent, and so decrease .

  1. Loss of lung parenchyma in diseases like emphysema.
  2. Diseases that scar the lung (the interstitial lung disease), such as idiopathic pulmonary fibrosis, or sarcoidosis
  3. Swelling of lung tissue (pulmonary edema) due to heart failure, or due to an acute inflammatory response to allergens (acute interstitial pneumonitis).
  4. Diseases of the blood vessels in the lung, either inflammatory (pulmonary vasculitis) or hypertrophic (pulmonary hypertension).
Lung conditions that increase .
  1. Alveolar hemorrhage Goodpasture's syndrome,[14] polycythemia,[15] left to right intracardiac shunts,[16] due increase in volume of blood exposed to inspired gas.
  2. Asthma due to better perfusion of apices of lung. This is caused by increase in pulmonary arterial pressure and/or due to more negative pleural pressure generated during inspiration due to bronchial narrowing.[17]

History

In one sense, it is remarkable that DLCO has retained such clinical utility. The technique was invented to settle one of the great controversies of pulmonary physiology a century ago, namely the question of whether oxygen and the other gases were actively transported into and out of the blood by the lung, or whether gas molecules diffused passively.[18] Remarkable too is the fact that both sides used the technique to gain evidence for their respective hypotheses. To begin with, Christian Bohr invented the technique, using a protocol analogous to the steady state diffusion capacity for carbon monoxide, and concluded that oxygen was actively transported into the lung. His student, August Krogh developed the single breath diffusion capacity technique along with his wife Marie, and convincingly demonstrated that gasses diffuse passively,[19][20][21][22][23][24][25] a finding that led to the demonstration that capillaries in the blood were recruited into use as needed – a Nobel Prize–winning idea.[26]

See also

References

  1. ^ a b c d Macintyre N, Crapo RO, Viegi G, et al. (2005). "Standardisation of the single-breath determination of carbon monoxide uptake in the lung". Eur Respir J. 26 (4): 720–35. doi:10.1183/09031936.05.00034905. PMID 16204605. S2CID 18177228.
  2. ^ West, J. 2011. Respiratory Physiology: The Essentials. 9e. ISBN 978-1-60913-640-6
  3. ^ Graham BL, Mink JT, Cotton DJ (1981). "Improved accuracy and precision of single-breath CO diffusing capacity measurements". J Appl Physiol. 51 (5): 1306–13. doi:10.1152/jappl.1981.51.5.1306. PMID 7298468.
  4. ^ LUNGFUNKTION - Practice compendium for semester 6. Department of Medical Sciences, Clinical Physiology, Academic Hospital, Uppsala, Sweden. Retrieved 2010.
  5. ^ Miller A, Thornton JC, Warshaw R, Anderson H, Teirstein AS, Selikoff IJ (1983). "Single breath diffusing capacity in a representative sample of the population of Michigan, a large industrial state. Predicted values, lower limits of normal, and frequencies of abnormality by smoking history". Am Rev Respir Dis. 127 (3): 270–7. doi:10.1164/arrd.1983.127.3.270 (inactive 31 January 2024). PMID 6830050.{{cite journal}}: CS1 maint: DOI inactive as of January 2024 (link)
  6. ^ Knudson RJ, Kaltenborn WT, Knudson DE, Burrows B (1987). "The single-breath carbon monoxide diffusing capacity. Reference equations derived from a healthy nonsmoking population and effects of hematocrit". Am Rev Respir Dis. 135 (4): 805–11. doi:10.1164/arrd.1987.135.4.805. PMID 3565929.
  7. ^ Cotes JE, Chinn DJ, Quanjer PH, Roca J, Yernault JC (1993). "Standardization of the measurement of transfer factor (Diffusing capacity)". Eur Respir J Suppl. 16: 41–52. doi:10.1183/09041950.041s1693. PMID 8499053. S2CID 54555111.
  8. ^ Crapo RO, Morris AH, Gardner RM (1982). "Reference values for pulmonary tissue volume, membrane diffusing capacity, and pulmonary capillary blood volume". Bull Eur Physiopathol Respir. 18 (6): 893–9. PMID 6927541.
  9. ^ Koopman M, Zanen P, Kruitwagen CL, van der Ent CK, Arets HG (2011). "Reference values for paediatric pulmonary function testing: The Utrecht dataset". Respir. Med. 105 (1): 15–23. doi:10.1016/j.rmed.2010.07.020. PMID 20889322. Erratum in Respir. Med. 2011 Dec;105(12):1970-1.
  10. ^ Chin NK, Ng TP, Hui KP, Tan WC (Jun 1997). "Population based standards for pulmonary function in non-smoking adults in Singapore". Respirology. 2 (2): 143–9. doi:10.1111/j.1440-1843.1997.tb00070.x. PMID 9441128. S2CID 31037816.
  11. ^ Piirilä P, Seikkula T, Välimäki P (2007). "Differences between Finnish and European reference values for pulmonary diffusing capacity". Int J Circumpolar Health. 66 (5): 449–57. doi:10.3402/ijch.v66i5.18316. PMID 18274210. S2CID 22302973.
  12. ^ Ip MS, Lam WK, Lai AY, et al. (July 2007). "Hong Kong Thoracic Society. Reference values of diffusing capacity of non-smoking Chinese in Hong Kong". Respirology. 12 (4): 599–606. doi:10.1111/j.1440-1843.2007.01084.x. PMID 17587430. S2CID 5897844.
  13. ^ Roughton FJ, Forster RE (1957). "Relative importance of diffusion and chemical reaction rates in determining rate of exchange of gases in the human lung, with special reference to true diffusing capacity of pulmonary membrane and volume of blood in the lung capillaries". J Appl Physiol. 11 (2): 290–302. doi:10.1152/jappl.1957.11.2.290. PMID 13475180.
  14. ^ Greening, AP; Hughes, JM (May 1981). "Serial estimations of carbon monoxide diffusing capacity in intrapulmonary haemorrhage". Clinical Science. 60 (5): 507–12. doi:10.1042/cs0600507. PMID 7249536.
  15. ^ Burgess, J. H.; Bishop, J. M. (1963). "Pulmonary Diffusing Capacity and ITS Subdivisions in Polycythemia Vera". Journal of Clinical Investigation. 42 (7): 997–1006. doi:10.1172/JCI104804. PMC 289367. PMID 14016987.
  16. ^ AUCHINCLOSS JH, Jr; GILBERT, R; EICH, RH (February 1959). "The pulmonary diffusing capacity in congenital and rheumatic heart disease". Circulation. 19 (2): 232–41. doi:10.1161/01.cir.19.2.232. PMID 13629784. S2CID 27264342.
  17. ^ Collard, P; Njinou, B; Nejadnik, B; Keyeux, A; Frans, A (May 1994). "Single breath diffusing capacity for carbon monoxide in stable asthma". Chest. 105 (5): 1426–9. doi:10.1378/chest.105.5.1426. PMID 8181330.
  18. ^ Gjedde A (2010). "Diffusive insights: on the disagreement of Christian Bohr and August Krogh". Adv Physiol Educ. 34 (4): 174–185. doi:10.1152/advan.00092.2010. PMID 21098384. S2CID 31010852.
  19. ^ Krogh A. 1910 On the oxygen metabolism of the blood. Skand Arch Physiol 23: 193–199
  20. ^ Krogh A. 1910 On the mechanism of the gas-exchange in the lungs of the tortoise. Skand Arch Physiol 23: 200–216.
  21. ^ Krogh A. 1910 On the combination of hæmoglobin with mixtures of oxygen and carbonic acid. Skand Arch Physiol 23: 217–223.
  22. ^ Krogh A. 1910 Some experiments on the invasion of oxygen and carbonic oxide into water. Skand Arch Physiol 23: 224–235
  23. ^ Krogh A. 1910 On the mechanism of gas exchange in the lungs. Skand Arch Physiol 23: 248–278
  24. ^ Krogh A, Krogh M. 1910 On the tensions of gases in arterial blood. Skand Arch Physiol 23: 179–192.
  25. ^ Krogh A, Krogh M. 1910 Rate of diffusion into lungs of man. Skand Arch Physiol 23: 236–247
  26. ^ "The Nobel Prize in Physiology or Medicine 1920".

Further reading

External links

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