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Diffusion of Gases

            M1 – Cardiovascular/Respiratory
                      Sequence
                 Thomas Sisson, MD

Fall 2008
Objectives
•  To understand the diffusion of gases in the lung
  –  Define diffusion and contrast with bulk flow
  –  State Fick’s law for diffusion
  –  Distinguish between diffusion limitation and perfusion
     limitation
  –  Describe the diffusion of oxygen from the alveoli into
     the blood
  –  Describe the diffusion of CO2 from blood to alveoli
  –  Define diffusing capacity and discuss its
     measurement
Airway Branching


                                                            Trachea                     0

                                                         Main Bronchi                   1

                                                       Lobar Bronchus                   2

                                                    Segmental Bronchus                 3-4

                                                          Bronchioles                 5-15

                                                    Terminal Bronchioles               16

                                                      Resp. Bronchioles              17-19

                                                        Alveolar Ducts               20-22

                                                        Alveolas Sacs                  23

Histology – A Text and Atlas; 5th edition, 2006, Ross and Pawlina, Lippincott Williams and Wilkins Fig 19.
Bulk Flow vs. Diffusion
                                                       •  The cross sectional area
                                                          increases with airway
                                                          generation.

                                                       •  Large volume/time, with
                                                          decreasing velocity at any
                                                          point.
                                                           –  Imagine a fast flowing river
                                                              reaching a delta.

                                                       •  The velocity of gas during
                                                          inspiration becomes tiny at the
                                                          level of the respiratory
                                                          bronchiole- at this level
                                                          diffusion becomes the chief
                                                          mode of gas movement.
West. Respiratory Physiology: The Essentials 8th ed.
Lippincott Williams & Wilkins. 2008
Gas Movement due to Diffusion
•  Diffusion - movement of gas due to
   molecular motion, rather than flow.

  – Akin to the spread of a scent in a room, rather
    than wind.

  – Random motion leads to distribution of gas
    molecules in alveolus.
Gas Movement due to Diffusion




T. Sisson
Diffusion
•  Driven by concentration gradients:
  – differences in partial pressure of the individual
    gases.
•  Movement of O2 and CO2 between the
   level of the respiratory bronchiole and that
   of the alveolar space depends only on
   diffusion.
•  The distances are small, so diffusion here
   is fast.
Diffusion of Gas Through the
        Alveolar Wall
 Alveolar airspace
                           Pathway of diffusion




     Source Undetermined
Diffusion of Oxygen Across the
         Alveolar Wall
            Pulmonary Surfactant
                        Diffuses/Dissolves

             Alveolar Epithelium
                        Diffuses/Dissolves

            Alveolar Interstitium
                        Diffuses/Dissolves

            Capillary Endothelium
                        Diffuses/Dissolves

                   Plasma
                        Diffuses/Dissolves

               Red Blood Cell
                        Binds

                Hemoglobin

T. Sisson
Fick’s Law for Diffusion

      Vgas = A x D x (P1 – P2)
                    T
Vgas = volume of gas diffusing through
        the tissue barrier per time, in ml/min

A = surface area available for diffusion
D = diffusion coefficient of the gas (diffusivity)
T = thickness of the barrier
P1 – P2 = partial pressure difference of the gas
Diffusivity
                  D ≅ Solubility/√MW

•  O2 has lower MW than CO2

•  Solubility of CO2 is 24x that of O2

•  CO2 diffuses 20x more rapidly through the alveolar
   capillary barrier than O2
Diffusion Across a Membrane




  West. Respiratory Physiology: The Essentials 8th ed. Lippincott Williams & Wilkins. 2008
Limitations of Gas Transfer
•  Diffusion Coefficient.
  – Different gases behave differently.
•  Surface Area and Thickness of the alveolar
   wall.
•  Partial Pressure Gradient across the
   alveolar wall for each individual gas.
  – Depends on both alveolar and mixed venous
    partial pressure (start of capillary).
Change in Blood Partial Pressure of
Three Gases with Time in the Capillary




                                                                    Carbon
                                                                   monoxide




       Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
N2O is Perfusion Limited
– N2O is very soluble in biological tissues and
  diffuses rapidly.
– PcN2O rises rapidly in the alveolar capillary
– Quickly have PcN2O =PAN2O.
– Because there is no pressure gradient, no
  diffusion occurs after about 0.1 sec.
– Fresh blood entering the capillary has not yet
  equilibrated and can still take up N2O.
– Increased blood flow will increase gas transfer
– Transfer of N2O is perfusion limited.
Change in Blood Partial Pressure of
Three Gases with Time in the Capillary




                                                                    Carbon
                                                                   Monoxide




       Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Carbon Monoxide is Diffusion Limited

 – Blood PCO rises very slowly because CO is
   bound to Hgb, with very little dissolved.
 – Capillary PcCO does not approach PACO.
 – Partial pressure gradient is maintained
   throughout the time the blood is in the
   capillary.
    •  Diffusion continues throughout this time.
 – Transfer of CO is limited by diffusivity, surface
   area, and thickness of the wall.
Transfer of Oxygen




Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Transfer of Oxygen
•  Under normal conditions, PcO2 reaches PAO2 about 1/3
   of the distance through the capillary.

•  Therefore under normal conditions transfer is perfusion
   limited.

•  With exercise, the time blood spends in the capillary is
   reduced - no longer perfusion but diffusion limitation.

•  In the setting of thickened alveolar wall, transfer is
   reduced.
   –  With severely disturbed diffusion, there is limitation even at rest
Transfer of Oxygen is Limited at
        Low Alveolar O2




    Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Transfer of CO2
                                                            •  Is transfer of
                                                               CO2 diffusion
                                                               or perfusion
                                                               limited?




Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Transfer of CO2
Why is the transfer of CO2 so similar to that
 of O2?

          Vgas = A x D x (P1 – P2)
                        T

Diffusivity of CO2 is 20x > than that of O2
Partial pressure gradient of CO2 is 45→40
Partial pressure gradient of O2 is 100→40
Fick’s Law for Diffusion

        ( AxD) (
 Vgas =       x P1 P 2 )
           T
Vgas = volume of gas diffusing through
        the tissue barrier per time, in ml/min
A = surface area available for diffusion
D = diffusion coefficient of the gas (diffusivity)
T = thickness of the barrier
P1 – P2 = partial pressure difference of the gas

   (AxD)/T = diffusing capacity of the lung (DL)
Diffusing Capacity


( AxD)      V gas
       =              = DLx
   T     (P1x P 2 x )
Measuring Diffusing Capacity
•  Inhale mixture containing known concentration of tracer gas.

•  Allow diffusion from alveolus into blood.

•  Measure concentration of tracer in exhaled gas.

•  Calculate rate of removal of tracer gas by diffusion into blood and
   the partial pressure gradient from alveolus into blood.

•  Choice of gas:
    –    Readily available.
    –    Easily measured.
    –    Diffusion limited.
    –    No arterial partial pressure.
We Could Use DLO2
  AxD
 = D O
          L 2
   T

V
 =
  O
2
         DLO2   ( PA
O2
   PC
O2
)
 = ml O
2
 /min



                                                      T. Sisson


                                   V
            DLO2     =
              O 
2

                            ( PA
O2
   PC
O2
)
Carbon Monoxide is an Ideal Gas for
   Measuring Diffusing Capacity
                                                              •  CO binds avidly to
                                                                 hemoglobin.

                                                              •  While CO content of the
                                                                 blood rises, the PCO in
                                                                 blood rises very slowly.
                                    Carbon
                                   Monoxide
                                                              •  The gradient of partial
                                                                 pressures from alveolus
  Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003      to blood remains almost
                                                                 constant during test
Carbon Monoxide Measurement
     of Diffusing Capacity
                     •
                 V CO
      DLCO =
             PACO PcCO
             PcCO ≈ 0
                         •

                V CO
         DLCO =
                PACO
   Normal DLCO = 20-30 ml/min/mmHg
DLCO Has Two Components

                       Diffusion across the
                       alveolar membrane.

                       Reaction with hemoglobin.


                         1   1   1
                           =   +
 Source Undetermined    DL Dm θxVc
Conditions that Impact Diffusion
        Capacity for CO.

                   AxD
            DLCO =
                    T
•  Decreased Surface Area.
  – Destruction of Alveolar Wall
•  Increased Barrier Thickness.
•  Anemia.
How would the Following Change the
 Diffusion Capacity of the Lungs?
•    Changing from supine to upright
•    Exercise
•    Anemia
•    Valsalva maneuver
•    Low cardiac output due to hemorrhage
•    Emphysema
•    Pulmonary fibrosis
Additional Source Information
                            for more information see: http://open.umich.edu/wiki/CitationPolicy


Slide 5: Histology – A Text and Atlas; 5th edition, 2006, Ross and Pawlina, Lippincott Williams and Wilkins Fig 19.
Slide 6: West. Respiratory Physiology: The Essentials 8th ed. Lippincott Williams & Wilkins. 2008
Slide 8: Thomas Sisson
Slide 10: Source Undetermined
Slide 11: Thomas Sisson
Slide 14: West. Respiratory Physiology: The Essentials 8th ed. Lippincott Williams & Wilkins. 2008
Slide 16: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Slide 18: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Slide 20: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Slide 22: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Slide 23: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Slide 24: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Slide 29: Thomas Sisson
Slide 30: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
Slide 32: Source Undetermined

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11.18.08(c): Diffusion of Gases

  • 1. Author: Thomas Sisson, MD, 2009 License: Unless otherwise noted, this material is made available under the terms of the Creative Commons Attribution–Non-commercial–Share Alike 3.0 License: http://creativecommons.org/licenses/by-nc-sa/3.0/ We have reviewed this material in accordance with U.S. Copyright Law and have tried to maximize your ability to use, share, and adapt it. The citation key on the following slide provides information about how you may share and adapt this material. Copyright holders of content included in this material should contact open.michigan@umich.edu with any questions, corrections, or clarification regarding the use of content. For more information about how to cite these materials visit http://open.umich.edu/education/about/terms-of-use. Any medical information in this material is intended to inform and educate and is not a tool for self-diagnosis or a replacement for medical evaluation, advice, diagnosis or treatment by a healthcare professional. Please speak to your physician if you have questions about your medical condition. Viewer discretion is advised: Some medical content is graphic and may not be suitable for all viewers.
  • 2. Citation Key for more information see: http://open.umich.edu/wiki/CitationPolicy Use + Share + Adapt { Content the copyright holder, author, or law permits you to use, share and adapt. } Public Domain – Government: Works that are produced by the U.S. Government. (17 USC § 105) Public Domain – Expired: Works that are no longer protected due to an expired copyright term. Public Domain – Self Dedicated: Works that a copyright holder has dedicated to the public domain. Creative Commons – Zero Waiver Creative Commons – Attribution License Creative Commons – Attribution Share Alike License Creative Commons – Attribution Noncommercial License Creative Commons – Attribution Noncommercial Share Alike License GNU – Free Documentation License Make Your Own Assessment { Content Open.Michigan believes can be used, shared, and adapted because it is ineligible for copyright. } Public Domain – Ineligible: Works that are ineligible for copyright protection in the U.S. (17 USC § 102(b)) *laws in your jurisdiction may differ { Content Open.Michigan has used under a Fair Use determination. } Fair Use: Use of works that is determined to be Fair consistent with the U.S. Copyright Act. (17 USC § 107) *laws in your jurisdiction may differ Our determination DOES NOT mean that all uses of this 3rd-party content are Fair Uses and we DO NOT guarantee that your use of the content is Fair. To use this content you should do your own independent analysis to determine whether or not your use will be Fair.
  • 3. Diffusion of Gases M1 – Cardiovascular/Respiratory Sequence Thomas Sisson, MD Fall 2008
  • 4. Objectives •  To understand the diffusion of gases in the lung –  Define diffusion and contrast with bulk flow –  State Fick’s law for diffusion –  Distinguish between diffusion limitation and perfusion limitation –  Describe the diffusion of oxygen from the alveoli into the blood –  Describe the diffusion of CO2 from blood to alveoli –  Define diffusing capacity and discuss its measurement
  • 5. Airway Branching Trachea 0 Main Bronchi 1 Lobar Bronchus 2 Segmental Bronchus 3-4 Bronchioles 5-15 Terminal Bronchioles 16 Resp. Bronchioles 17-19 Alveolar Ducts 20-22 Alveolas Sacs 23 Histology – A Text and Atlas; 5th edition, 2006, Ross and Pawlina, Lippincott Williams and Wilkins Fig 19.
  • 6. Bulk Flow vs. Diffusion •  The cross sectional area increases with airway generation. •  Large volume/time, with decreasing velocity at any point. –  Imagine a fast flowing river reaching a delta. •  The velocity of gas during inspiration becomes tiny at the level of the respiratory bronchiole- at this level diffusion becomes the chief mode of gas movement. West. Respiratory Physiology: The Essentials 8th ed. Lippincott Williams & Wilkins. 2008
  • 7. Gas Movement due to Diffusion •  Diffusion - movement of gas due to molecular motion, rather than flow. – Akin to the spread of a scent in a room, rather than wind. – Random motion leads to distribution of gas molecules in alveolus.
  • 8. Gas Movement due to Diffusion T. Sisson
  • 9. Diffusion •  Driven by concentration gradients: – differences in partial pressure of the individual gases. •  Movement of O2 and CO2 between the level of the respiratory bronchiole and that of the alveolar space depends only on diffusion. •  The distances are small, so diffusion here is fast.
  • 10. Diffusion of Gas Through the Alveolar Wall Alveolar airspace Pathway of diffusion Source Undetermined
  • 11. Diffusion of Oxygen Across the Alveolar Wall Pulmonary Surfactant Diffuses/Dissolves Alveolar Epithelium Diffuses/Dissolves Alveolar Interstitium Diffuses/Dissolves Capillary Endothelium Diffuses/Dissolves Plasma Diffuses/Dissolves Red Blood Cell Binds Hemoglobin T. Sisson
  • 12. Fick’s Law for Diffusion Vgas = A x D x (P1 – P2) T Vgas = volume of gas diffusing through the tissue barrier per time, in ml/min A = surface area available for diffusion D = diffusion coefficient of the gas (diffusivity) T = thickness of the barrier P1 – P2 = partial pressure difference of the gas
  • 13. Diffusivity D ≅ Solubility/√MW •  O2 has lower MW than CO2 •  Solubility of CO2 is 24x that of O2 •  CO2 diffuses 20x more rapidly through the alveolar capillary barrier than O2
  • 14. Diffusion Across a Membrane West. Respiratory Physiology: The Essentials 8th ed. Lippincott Williams & Wilkins. 2008
  • 15. Limitations of Gas Transfer •  Diffusion Coefficient. – Different gases behave differently. •  Surface Area and Thickness of the alveolar wall. •  Partial Pressure Gradient across the alveolar wall for each individual gas. – Depends on both alveolar and mixed venous partial pressure (start of capillary).
  • 16. Change in Blood Partial Pressure of Three Gases with Time in the Capillary Carbon monoxide Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
  • 17. N2O is Perfusion Limited – N2O is very soluble in biological tissues and diffuses rapidly. – PcN2O rises rapidly in the alveolar capillary – Quickly have PcN2O =PAN2O. – Because there is no pressure gradient, no diffusion occurs after about 0.1 sec. – Fresh blood entering the capillary has not yet equilibrated and can still take up N2O. – Increased blood flow will increase gas transfer – Transfer of N2O is perfusion limited.
  • 18. Change in Blood Partial Pressure of Three Gases with Time in the Capillary Carbon Monoxide Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
  • 19. Carbon Monoxide is Diffusion Limited – Blood PCO rises very slowly because CO is bound to Hgb, with very little dissolved. – Capillary PcCO does not approach PACO. – Partial pressure gradient is maintained throughout the time the blood is in the capillary. •  Diffusion continues throughout this time. – Transfer of CO is limited by diffusivity, surface area, and thickness of the wall.
  • 20. Transfer of Oxygen Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
  • 21. Transfer of Oxygen •  Under normal conditions, PcO2 reaches PAO2 about 1/3 of the distance through the capillary. •  Therefore under normal conditions transfer is perfusion limited. •  With exercise, the time blood spends in the capillary is reduced - no longer perfusion but diffusion limitation. •  In the setting of thickened alveolar wall, transfer is reduced. –  With severely disturbed diffusion, there is limitation even at rest
  • 22. Transfer of Oxygen is Limited at Low Alveolar O2 Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
  • 23. Transfer of CO2 •  Is transfer of CO2 diffusion or perfusion limited? Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
  • 24. Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003
  • 25. Transfer of CO2 Why is the transfer of CO2 so similar to that of O2? Vgas = A x D x (P1 – P2) T Diffusivity of CO2 is 20x > than that of O2 Partial pressure gradient of CO2 is 45→40 Partial pressure gradient of O2 is 100→40
  • 26. Fick’s Law for Diffusion ( AxD) ( Vgas = x P1 P 2 ) T Vgas = volume of gas diffusing through the tissue barrier per time, in ml/min A = surface area available for diffusion D = diffusion coefficient of the gas (diffusivity) T = thickness of the barrier P1 – P2 = partial pressure difference of the gas (AxD)/T = diffusing capacity of the lung (DL)
  • 27. Diffusing Capacity ( AxD) V gas = = DLx T (P1x P 2 x )
  • 28. Measuring Diffusing Capacity •  Inhale mixture containing known concentration of tracer gas. •  Allow diffusion from alveolus into blood. •  Measure concentration of tracer in exhaled gas. •  Calculate rate of removal of tracer gas by diffusion into blood and the partial pressure gradient from alveolus into blood. •  Choice of gas: –  Readily available. –  Easily measured. –  Diffusion limited. –  No arterial partial pressure.
  • 29. We Could Use DLO2 AxD = D O L 2 T V = O 2 DLO2 ( PA O2 PC O2 ) = ml O 2 /min T. Sisson V DLO2 = O 2 ( PA O2 PC O2 )
  • 30. Carbon Monoxide is an Ideal Gas for Measuring Diffusing Capacity •  CO binds avidly to hemoglobin. •  While CO content of the blood rises, the PCO in blood rises very slowly. Carbon Monoxide •  The gradient of partial pressures from alveolus Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 to blood remains almost constant during test
  • 31. Carbon Monoxide Measurement of Diffusing Capacity • V CO DLCO = PACO PcCO PcCO ≈ 0 • V CO DLCO = PACO Normal DLCO = 20-30 ml/min/mmHg
  • 32. DLCO Has Two Components Diffusion across the alveolar membrane. Reaction with hemoglobin. 1 1 1 = + Source Undetermined DL Dm θxVc
  • 33. Conditions that Impact Diffusion Capacity for CO. AxD DLCO = T •  Decreased Surface Area. – Destruction of Alveolar Wall •  Increased Barrier Thickness. •  Anemia.
  • 34. How would the Following Change the Diffusion Capacity of the Lungs? •  Changing from supine to upright •  Exercise •  Anemia •  Valsalva maneuver •  Low cardiac output due to hemorrhage •  Emphysema •  Pulmonary fibrosis
  • 35. Additional Source Information for more information see: http://open.umich.edu/wiki/CitationPolicy Slide 5: Histology – A Text and Atlas; 5th edition, 2006, Ross and Pawlina, Lippincott Williams and Wilkins Fig 19. Slide 6: West. Respiratory Physiology: The Essentials 8th ed. Lippincott Williams & Wilkins. 2008 Slide 8: Thomas Sisson Slide 10: Source Undetermined Slide 11: Thomas Sisson Slide 14: West. Respiratory Physiology: The Essentials 8th ed. Lippincott Williams & Wilkins. 2008 Slide 16: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 Slide 18: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 Slide 20: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 Slide 22: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 Slide 23: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 Slide 24: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 Slide 29: Thomas Sisson Slide 30: Levitzky. Pulmonary Physiology, 6th ed. McGraw-Hill. 2003 Slide 32: Source Undetermined