Volume 47, Number 4, July-August 2013
Direct and inverse modeling of the cardiovascular and respiratory systems
Page(s) 935 - 960
Published online 13 June 2013
  1. E. Agostoni and R.E. Hyatt, Static behavior of the respiratory system, in Handbook of physiology, edited by S.R. Geiger, 2nd edition. American Physiological Society, Bethesda (1986) 113–130.
  2. D.V. Bates, C.J. Varvis, R.E. Donevan and R.V. Christie, Variations in the pulmonary capillary blood volume and membrane diffusion component in health and disease. J. Clin. Invest. 39 (1960) 1401–1412. [CrossRef] [PubMed]
  3. R. Begin, A.D. Renzetti Jr., A.H. Bigler and S. Watanabe, Flow and age dependence of airway closure and dynamic compliance. J. Appl. Physiol. 38 (1975) 199–207. [PubMed]
  4. A. Ben-Tal, Simplified models for gas exchange in the human lungs. J. Theor. Biol. 238 (2006) 474–495. [CrossRef] [PubMed]
  5. C. Brighenti, G. Gnudi and G. Avanzolini, A simulation model of the oxygen alveolo-capillary exchange in normal and pathological conditions. Physiol. Meas. 24 (2003) 261–275. [CrossRef] [PubMed]
  6. L. Brochard, J. Mancebo, M. Wysocki, F. Lofaso, G. Conti, A. Rauss, G. Simonneau, S. Benito, A. Gasparetto, F. Lemaire, D. Isabey and A. Harf, Noninvasive ventilation for acute exacerbations of chronic obstructive pulmonary disease. N. Engl. J. Med. 333 (1995) 817–822. [CrossRef] [PubMed]
  7. J.E. Cotes, D.J. Chinn and M.R. Miller, Lung function: Physiology, Measurement and Application in Medicine, 6th edition. Blackwell Publishing Ltd. (2006).
  8. J.E. Cotes, D.J. Chinn, Ph. Quanjer, J. Roca and J.C. Yernault, Standardization of the measurement of transfer factor (diffusing capacity). Eur. Respir. J. suppl 16 (1993) 41–52. [PubMed]
  9. Crandall, E.D. and R.W. Flumerfelt, Effect of time-varying blood flow on oxygen uptake in the pulmonary capillaries. Appl. Physiol. 23 (1967) 944–953.
  10. The lung: Scientific Foundations, edited by R.G. Crystal, J.B. West, E.R. Weibel and P.J. Barnes, 2nd edition. Lippincott-Raven Press, Philadelphia 2 (1997).
  11. W.A. Eaton, E.R. Henry, J. Hofrichter and A. Mozzarelli, Is cooperative oxygen binding by hemoglobin really understood?. Nat. Struct. Biol. 6 (1999) 351–358. [CrossRef] [PubMed]
  12. M. Felici, M. Filoche and B. Sapoval, Diffusional screening in the human pulmonary acinus. J. Appl. Physiol. 94 (2003) 2010–2016. [PubMed]
  13. M. Felici, M. Filoche and B. Sapoval, Renormalized random walk study of oxygen absorption in the human lung. Phys. Rev. Lett. 92 (2004) 068101. [CrossRef] [PubMed]
  14. M. Felici, M. Filoche, C. Straus, T. Similowski and B. Sapoval, Diffusional screening in real 3D human acini – a theoretical study. Respir. Physiol. Neurobiol. 145 (2005) 279–293. [CrossRef]
  15. M. Filoche and M. Florens, The stationary flow in a heterogeneous compliant vessel network. J. Phys. Conf. Ser. 319 (2011) 012008. [CrossRef]
  16. A. Foucquier, Dynamique du transport et du transfert de l’oxygène au sein de l’acinus pulmonaire humain. Ph.D. thesis, École Polytechnique (2010).
  17. P. Gehr, M. Bachofen and E.R. Weibel, The normal human lung: ultrastructure and morphometric estimation of diffusion capacity. Respir. Physiol. 32 (1978) 121–140. [CrossRef] [PubMed]
  18. A.C. Guyton and J.E. Hall, Textbook of medical physiology, 9th edition. W.B. Saunders Co, Philadelphia (1996).
  19. M.P. Hlastala and A.J. Berger, Physiology of Respiration, 2nd edition. Oxford University Press, Oxford (2001).
  20. C. Hou, S. Gheorghiu, M.-O. Coppens, V.H. Huxley and P. Pfeifer, Gas diffusion through the fractal landscape of the lung: How deep does oxygen enter the alveolar system? in Fractals in Biology and Medicine, edited by G.A. Losa, D. Merlini, T.F. Nonnenmacher, E.R. Weibel. Basel: Birkhäuser IV (2005) 17–30.
  21. J.M.B. Hughes, Pulmonary gas exchange. in Lung Function Testing, edited by R. Gosselink and H. Stam. European Respiratory Monograph 10 (2005) 106–126.
  22. J. Keener and J. Sneyd, Mathematical Physiology. Interdisciplinary Applied Mathematics. Springer (1998).
  23. G.R. Kelman, Digital computer subroutine for the conversion of oxygen tension into saturation. J. Appl. Physiol. 21 (1966) 1375–1376. [PubMed]
  24. J.D. Kibble and C. Halsey, Medical Physiology, The Big Picture. McGraw Hill (2009).
  25. C.H. Liu, S.C. Niranjan, J.W. Clark, K.Y. San, J.B. Zwischenberger and A. Bidani, Airway mechanics, gas exchange, and blood flow in a nonlinear model of the normal human lung. J. Appl Physiol. 84 (1998) 1447–1469. [PubMed]
  26. S. Martin, T. Similowski, C. Straus and B. Maury, Impact of respiratory mechanics model parameter on gas exchange efficiency. ESAIM Proc. 23 (2008) 30–47. [CrossRef] [EDP Sciences]
  27. B. Mauroy and P. Bokov, Influence of variability on the optimal shape of a dichotomous airway tree branching asymmetrically. Phys. Biol. 7 (2010) 016007. [CrossRef]
  28. B. Mauroy, M. Filoche, J.S. Andrade Jr. and B. Sapoval, Interplay between flow distribution and geometry in an airway tree. Phys. Rev. Lett. 90 (2003) 14. [CrossRef] [PubMed]
  29. B. Mauroy, M. Filoche, E.R. Weibel, and B. Sapoval, An optimal bronchial tree may be dangerous. Nature 427 (2004) 633–636. [CrossRef] [PubMed]
  30. B. Mauroy and N. Meunier, Optimal Poiseuille flow in a finite elastic dyadic tree. ESAIM: M2AN 42 (2008) 507–534. [CrossRef] [EDP Sciences]
  31. M. Paiva and L.A. Engel, Model analysis of gas distribution within human lung acinus. J. Appl. Physiol. 56 (1984) 418–425. [PubMed]
  32. J. Piiper and P. Scheid, Respiration: alveolar gas exchange. Annu. Rev. Physiol. 33 (1971) 131–154. [CrossRef] [PubMed]
  33. F.J. Roughton and R.E. Forster, 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 (1957) 290–302. [PubMed]
  34. B. Sapoval and M. Filoche, Role of diffusion screening in pulmonary diseases. Adv. Exp. Med. Biol. 605 (2008) 173–178. [CrossRef] [PubMed]
  35. B. Sapoval, M. Filoche and E.R. Weibel, Smaller is better − but not too small: a physical scale for the design of the mammalian pulmonary acinus. Proc. Natl. Acad. Sci. USA 99 (2002) 10411. [CrossRef]
  36. T. Similowski and J.H.T. Bates, Two-compartment modelling of respiratory system mechanics at low frequencies: gas redistribution or tissue rheology? Eur. Respir. J. 4 (1991) 353–358. [PubMed]
  37. T.T. Soong, P. Nicolaides, C.P. Yu and S.C. Soong, A statistical description of the human tracheobronchial tree geometry. Respir. Physiol. 37 (1979) 161–72. [CrossRef] [PubMed]
  38. A.J. Swan and M.H. Tawhai, Evidence for minimal oxygen heterogeneity in the healthy human pulmonary acinus. J. Appl. Physiol. 110 (2011) 528–537. [CrossRef] [PubMed]
  39. J. Sznitman, Convective gas transport in the pulmonary acinus: comparing roles of convective and diffusive lengths. J. Biomech. 42 (2009) 789–792. [CrossRef] [PubMed]
  40. C. Tantucci, A. Duguet, P. Giampiccolo, T. Similowski, M. Zelter and J.-P. Derenne, The best peak expiratory flow is flow-limited and effort-independent in normal subjects. Am. J. Respir. Crit. Care Med. 165 (2002) 1304–1308. [CrossRef] [PubMed]
  41. M.H. Tawhai and P.J. Hunter, Characterising respiratory airway gas mixing using a lumped parameter model of the pulmonary acinus. Respir. Physiol. 127 (2001) 241–248. [CrossRef] [PubMed]
  42. E.R. Weibel, Morphometry of the human lung, Springer Verlag and Academic Press, Berlin, New York (1963).
  43. E.R. Weibel, The pathway for oxygen, Harvard University Press (1984).
  44. E.R. Weibel, Design and morphometry of the pulmonary gas exchanger, in The lung: scientific foundations, 2nd edition, edited by R.G. Crystal, J.B. West, E.R. Weibel, P.J. Barnes. Lippincott-Raven Press, Philadelphia 1 (1997) 1147–1157.
  45. E.R. Weibel, B. Sapoval and M. Filoche, Design of peripheral airways for efficient gas exchange. Resp. Phys. Neur. 148 (2005) 3–21. [CrossRef]
  46. E.R. Weibel, How does lung structure affect gas exchange? Chest 83 (1983) 657–665. [CrossRef] [PubMed]
  47. J.B. West, Respiratory physiology: the essentials, Baltimore: Williams and Wilkins (1974).
  48. J.P. Whiteley, D.J. Gavaghan and C.E. Hahn, Some factors affecting oxygen uptake by red blood cells in the pulmonary capillaries. Math. Biosci. 169 (2001) 153–172. [CrossRef] [MathSciNet] [PubMed]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you