Multiscale model for pulmonary oxygen uptake and its application to quantify hypoxemia in hepatopulmonary syndrome

Journal of Theoretical Biology

Volumn 244, Issue 2, 2007, Pages 190-207

  Chakraborty, Saikat ^a,b   Balakotaiah, Vemuri ^b   Bidani, Akhil ^a,b  

^a Pulmonary Section   (United States)

^b University of Houston   (United States)

Author keywords

Capillary dilatation; Hepatopulmonary syndrome; Multiscale method; Pulmonary oxygen uptake; Red blood cell; Ventilation perfusion heterogeneity

Indexed keywords

GAS EXCHANGE; HYPOXIA; OXYGEN; REACTION RATE;

ARTICLE; HEPATOPULMONARY SYNDROME; HYPOXEMIA; LUNG GAS EXCHANGE; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; OXYGEN CONSUMPTION; OXYGEN DIFFUSION; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; THERMODYNAMICS;

ADULT; ANOXEMIA; CAPILLARIES; DILATATION, PATHOLOGIC; ERYTHROCYTES; HEPATOPULMONARY SYNDROME; HUMANS; LUNG; MALE; MODELS, BIOLOGICAL; OXYGEN CONSUMPTION; PULMONARY GAS EXCHANGE;

EID: 33751174963     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.07.030     Document Type: Article

References (34)

1. Beard D.A., and Bassingthwaighte J.B. Advection and diffusion of substances in biological tissues with complex vascular networks. Ann. Biomed. Eng. 28 (2000) 253-268
2. Beard D.A., and Bassingthwaighte J.B. Modeling advection and diffusion of oxygen in complex vascular networks. Ann. Biomed. Eng. 29 (2001) 298-310
3. Bidani A., Flummerfelt R.W., and Crandall E.D. Analysis of the effects of pulsatile capillary blood flow and volume on gas exchange. Respir. Physiol. 35 1 (1978) 27-42
4. Castro M., and Krowka M.J. Hepatopulmonary syndrome. Stud. Chest Med. 1 (1996) 35-48
5. Chakraborty S., and Balakotaiah V. Low dimensional models for describing mixing effects in laminar flow tubular reactors. Chem. Eng. Sci. 57 (2002) 2545-2564
6. 2 and NO. J. Appl. Physiol. 97 (2004) 2284-2302
7. Charm S.E., and Kurland G.S. Blood Flow and Microcirculation (1974), Wiley, New York
8. Cosby K., Partovi K.S., Crawford J.H., Patel R.P., Reiter C.D., Martyr S., Yang B.K., Waclawiw M.A., Zalos G., Xu X., Huang K.T., Shields H., Kim-Shaphiro D.B., Schechter A.N., Cannon III R.O., and Gladwin M.T. Nitrite reduction to nitric oxide by deoxyhemoglobin vasodilates the human circulation. Nature Med. 9 12 (2003) 1498-1505
9. Crapo J.D., Crapo R.O., Jensen R.L., Mercer R.R., and Weibel E.R. Evaluation of lung diffusing capacity by physiological and morphometric techniques. J. Appl. Physiol. 64 (1988) 2083-2091
10. Cremona G., Higenbottam T.W., Mayoral V., Alexander G., Demoncheaux E., Borland C., Roe P., and Jones G.J. Eur. Respir. J. 8 (1995) 1883-1885
11. Davis II H.H., Schwartz D.J., Lefrak S.S., Susman N., and Schainker B.A. Alveolar-capillary oxygen disequilibrium in hepatic cirrhosis. Chest 73 (1978) 507-511
12. Flummerfelt R.W., and Crandall E.D. An analysis of external respiration in man. Math. Biosci. 3 (1968) 205-230
13. Forster R.E., and Crandall E.D. Pulmonary gas exchange. Annu. Rev. Physiol. 38 (1976) 69-93
14. Forster R.E., Fowler W.S., and Bates D.V. Considerations on the uptake of carbon monoxide by the lungs. J. Clin. Invest. 33 (1954) 1128-1134
15. Glenny R.W., and Robertson H.L. Reginal differences in the lung: a changing perspective on blood flow distribution. In: Hlastala M.P., and Robertson H.T. (Eds). Complexity in Structure and Function of the Lung (1998), Marcel Dekker, New York 461-482
16. Groebe K., and Thews G. Effects of cell spacing and red cell movement upon oxygen release under conditions of maximally working skeletal muscle. Adv. Exp. Med. Biol. 248 (1989) 175-184
17. Hellums J.D., Nair P.K., Huang N.S., and Oshima N. Simulation of intraluminal gas transport processes in the microcirculation. Ann. Biomed. Eng. 24 (1996) 1-24
18. Huang N.S., and Hellums J.D. A theoretical model for gas transport and acid/base regulation by blood flowing in microvessels. Microvasc. Res. 48 (1994) 364-368
19. Kagawa T., and Mochizuki M. Numerical solution of partial differential equation describing oxygenation rate of red blood cell. Jpn. J. Physiol. 32 (1982) 197-218
20. Kreuzer K.H. Facilitated diffusion of oxygen and its possible significance: a review. Respir. Physiol. 9 (1970) 1-30
21. McMahon T.J., Moon R.E., Luschinger B.P., Carraway M.S., Stone A.E., Stolp B.W., Gow A.J., Pawloski J.R., Watke P., Singel D.J., Piantadosi C.A., and Stamler J.S. Nitric oxide in the human respiratory cycle. Nature Med. 8 7 (2002) 711-717
22. Mochizuki M. A theoretical study on the velocity factor of oxygenation of the red cell. Jpn. J. Physiol. 32 (1966) 197-218
23. Nair P.K., Hellums J.D., and Olson J.S. Prediction of oxygen transport rates in blood flowing in large capillaries. Microvasc. Res. 38 (1989) 269-285
24. Olearczyk J.J., Stephenson A.H., Lonigro A.J., and Sprague R.S. NO inhibits signal transduction pathway for ATP release from erythrocytes via its action on heterotrimetric G protein Gi. Am. J. Physiol. Heart Circ. Physiol. 287 2 (2004) H748-H754
25. Piiper J., and Schied P. Respiration: alveolar gas exchange. Annu. Rev. Phys. 33 (1971) 131-154
26. 2 uptake in hypoxemia. Respir. Physiol. 46 (1981) 193-208
27. Roughton F.J.W., and Forster R.E. Relative importance of diffusion and chemical reaction in determining rate of exchange of gases in human lung. J. Appl. Physiol. 11 (1957) 290-302
28. Severinghaus J.W. Simple, accurate equations for human blood oxygen dissociation computations. J. Appl. Physiol. 46 (1979) 599-602
29. Sharan M., Singh M.P., and Aminataei A. A numerical model for blood oxygenation in the pulmonary capillaries-effect of pulmonary membrane resistance. Biosystems 20 (1987) 355-364
30. Sharan M., Singh M.P., and Aminataei A. The process of gas exchange in the pulmonary circulation incorporating the contribution of axial diffusion. Int. J. Biomed. Comput. 20 (1987) 191-209
31. Wagner P.D. Diffusion and chemical reaction in pulmonary gas exchange. Physiol. Rev. 57 (1977) 257-312
32. 2 time courses in pulmonary capillaries. J. Appl. Physiol. 33 (1972) 62-71
33. Wang C.Y., and Bassingthwaighte J.B. Capillary supply regions. Math. Biosci. 173 (2001) 103-114
34. West J.B. Ventilation/blood flow and Gas Exchange (1977), Blackwell Scientific Publications, Oxford, Boston