J. B. West, Respiratory Physiology : The essentials. Lippincott Williams and Wilkins, 2008.
DOI : 10.1007/978-1-4614-7520-0

C. D. Murray, The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume, Proceedings of the National Academy of Sciences, vol.12, issue.3, pp.207-214, 1926.
DOI : 10.1073/pnas.12.3.207

B. Mauroy, M. Filoche, J. S. Andrade, and B. Sapoval, Interplay between Geometry and Flow Distribution in an Airway Tree, Physical Review Letters, vol.90, issue.14, p.148101, 2003.
DOI : 10.1103/PhysRevLett.90.148101

URL : https://hal.archives-ouvertes.fr/hal-00916486

B. Haefeli-bleuer and E. R. , Morphometry of the human pulmonary acinus, The Anatomical Record, vol.195, issue.4, pp.401-414, 1988.
DOI : 10.1002/ar.1092200410

E. R. Weibel and W. J. Federspiel, Morphometric model for pulmonary diffusing capacity I. Membrane diffusing capacity, Respiration Physiology, vol.93, issue.2, pp.125-149, 1993.
DOI : 10.1016/0034-5687(93)90001-Q

. Per-olof-astrand, Précis de physiologie de l'exercice musculaire, 1994.

L. Porra, Effect of tidal volume on distribution of ventilation assessed by synchrotron radiation CT in rabbit, Journal of Applied Physiology, vol.96, issue.5, pp.1899-1908, 2004.
DOI : 10.1152/japplphysiol.00866.2003

M. Felici, M. Filoche, and B. Sapoval, Renormalized Random Walk Study of Oxygen Absorption in the Human Lung, Physical Review Letters, vol.92, issue.6, p.68101, 2004.
DOI : 10.1103/PhysRevLett.92.068101

M. Felici, M. Filoche, C. Straus, T. Similowski, and B. Sapoval, Diffusional screening in real 3D human acini???a theoretical study, Respiratory Physiology & Neurobiology, vol.145, issue.2-3, pp.279-293, 2005.
DOI : 10.1016/j.resp.2004.10.012

D. Grebenkov, M. Filoche, B. Sapoval, and M. Felici, Diffusion-Reaction in Branched Structures: Theory and Application to the Lung Acinus, Physical Review Letters, vol.94, issue.5, p.50602, 2005.
DOI : 10.1103/PhysRevLett.94.050602

B. Sapoval, Transfer to and across Irregular Membranes Modelled by Fractal Geometry, Fractals in medicine and biology, pp.241-249
DOI : 10.1007/978-3-0348-8501-0_21

B. Sapoval, General Formulation of Laplacian Transfer Across Irregular Surfaces, Physical Review Letters, vol.73, issue.24, pp.3314-3316, 1994.
DOI : 10.1103/PhysRevLett.73.3314

M. Rosso, Y. Huttel, E. Chassaing, B. Sapoval, and R. Gutfraind, Visualization of the Active Zone of an Irregular Electrode by Optical Absorption, Journal of The Electrochemical Society, vol.144, issue.5, pp.1713-1717, 1997.
DOI : 10.1149/1.1837666

M. Filoche and B. Sapoval, Transfer Across Random versus Deterministic Fractal Interfaces, Physical Review Letters, vol.84, issue.25, pp.5776-5779, 2000.
DOI : 10.1103/PhysRevLett.84.5776

URL : http://arxiv.org/abs/cond-mat/0001273

D. Grebenkov, M. Filoche, and B. Sapoval, Mathematical basis for a general theory of Laplacian transport towards irregular interfaces, Physical Review E, vol.73, issue.2, p.21103, 2006.
DOI : 10.1103/PhysRevE.73.021103

B. Sapoval, M. Filoche, and E. R. , Branched Structures, Acinus Morphology and Optimal Design of Mammalian Lungs, Branching in nature, pp.225-242
DOI : 10.1007/978-3-662-06162-6_12

W. A. Altemeier, S. Mckinney, and R. W. Glenny, Fractal nature of regional ventilation distribution, Journal of Applied Physiology, vol.88, pp.1551-1557, 2000.

I. Frerichs, Gravity effects on regional lung ventilation determined by functional EIT during parabolic flights, Journal of Applied Physiology, vol.91, pp.39-50, 2001.

R. W. Glenny, L. Polissar, and H. T. Robertson, Relative contribution of gravity to pulmonary perfusion heterogeneity, Journal of Applied Physiology, vol.71, pp.2449-2452, 1991.

H. J. Guy, G. K. Prisk, A. R. Elliot, R. A. Deutschman, and J. B. West, Inhomogeneity of pulmonary ventilation during sustained microgravity as detremined by singl-breath washouts, Journal of Applied Physiology, vol.76, pp.1719-1729, 1994.

G. K. Prisk, H. J. Guy, A. R. Elliot, M. Paiva, and J. B. West, Ventilatory inhomogeneity determined from multiple-breath washouts during sustained microgravity on Spacelab SLS-1, Journal of Applied Physiology, vol.78, pp.597-607, 1995.

R. W. Glenny, S. Bernard, H. T. Robertson, and M. P. Hlastala, Gravity is an important but secondary determinant of regional pulmonary blood flow in upright primates, Journal of Applied Physiology, vol.86, pp.623-632, 1999.

. Per-olof-astrand, Précis de physiologie de l'exercice musculaire, 1994.

B. Saltin and P. O. Astrand, Maximal oxygen uptake in athletes, Journal of Applied Physiology, vol.23, pp.353-358, 1967.

H. Bachofen and S. Schürch, Alveolar surface forces and lung architecture, Comparative Biochemistry and Physiology Part A: Molecular & Integrative Physiology, vol.129, issue.1, pp.183-193, 2001.
DOI : 10.1016/S1095-6433(01)00315-4

D. Grebenkov, M. Filoche, B. Sapoval, and M. Felici, Diffusion-Reaction in Branched Structures: Theory and Application to the Lung Acinus, Physical Review Letters, vol.94, issue.5, p.50602, 2005.
DOI : 10.1103/PhysRevLett.94.050602

B. Haefeli-bleuer and E. R. , Morphometry of the human pulmonary acinus, The Anatomical Record, vol.195, issue.4, pp.401-414, 1988.
DOI : 10.1002/ar.1092200410

J. B. West, Respiratory Physiology : The essentials. Lippincott Williams and Wilkins, 2008.
DOI : 10.1007/978-1-4614-7520-0

A. V. Hill, The possible effects of the aggregation of the molecules of hemoglobin on its, The Journal of Physiology, vol.40, pp.4-7, 1910.

M. D. Hammond, G. E. Gale, K. S. Kapitan, A. Ries, and P. D. Wagner, Pulmonary gas exchange in humans during exercise at sea level, Journal of Applied Physiology, vol.60, issue.5, pp.1590-1598, 1986.

S. R. Hopkins, Pulmonary gas exchange in humans during exercise in women : effects of exercise type and work increment, Journal of Applied Physiology, vol.89, pp.721-730, 2000.

C. G. Lambie and M. J. Morrissey, An automatic method for the collection of the alveolar air, The Journal of Physiology, vol.107, issue.1, pp.14-23, 1947.
DOI : 10.1113/jphysiol.1948.sp004245

H. Guénard and M. Chaussain, A sampling methode for mean alveolar gas in normal subjects and patients with respiratory disease, Bull. Europ. Physiopath. Resp, vol.12, pp.625-636, 1976.

J. B. West, Regional differences in gas exchange in the lung of erect man, Journal of Applied Physiology, vol.17, p.893, 1962.

J. Moinard and H. Guénard, Determination of the lung capillary blood volume and membrane diffusing capacity in patients with COPD using NO-CO method, Eur Respir J, vol.3, pp.318-322, 1990.

A. H. Kendrick and G. Laszlo, CO transfer factor on exercise/age and sex differences

P. O. Astrand, I. Hallback, and A. Kilbom, Reduction in maximal oxygen uptake with age, Journal of Applied Physiology, vol.35, pp.649-654, 1973.

B. Haefeli-bleuer and E. R. , Morphometry of the human pulmonary acinus, The Anatomical Record, vol.195, issue.4, pp.401-414, 1988.
DOI : 10.1002/ar.1092200410

. Per-olof-astrand, Précis de physiologie de l'exercice musculaire, 1994.

E. R. Weibel, C. R. Taylor, P. Gehr, H. Hoppeler, O. Mathieu et al., Design of the mammalian respiratory system. IX. Functional and structural limits for oxygen flow, Respiration Physiology, vol.44, issue.1, pp.151-164, 1981.
DOI : 10.1016/0034-5687(81)90081-5

M. Florens, B. Sapoval, and M. Filoche, An anatomical and functional model of the human tracheobronchial tree, Journal of Applied Physiology, vol.110, issue.3, 2010.
DOI : 10.1152/japplphysiol.00984.2010

C. C. Hsia, C. J. Chuong, J. Johnson, and R. L. , Critique of the conceptual basis of diffusing capacity estimates : a finite element analysis, Journal of Applied Physiology, vol.79, pp.1039-1047, 1995.

C. C. Hsia, C. J. Chuong, J. Johnson, and R. L. , Red cell distortion and conceptual basis of diffusing capacity estimates : finite element analysis, Journal of Applied Physiology, vol.83, pp.1397-1404, 1997.

E. R. Weibel and W. J. Federspiel, Morphometric model for pulmonary diffusing capacity I. Membrane diffusing capacity, Respiration Physiology, vol.93, issue.2, pp.125-149, 1993.
DOI : 10.1016/0034-5687(93)90001-Q

J. , L. Mcwhirter, H. Noguchi, and G. Gompper, Flow-induced clustering and alignment of vesicles and red blood cells in microcapillaries, pp.6039-6043, 2009.

M. Mochizuki, A THEORETICAL STUDY ON THE VELOCITY FACTOR OF OXYGENATION OF THE RED CELL, The Japanese Journal of Physiology, vol.16, issue.6, pp.658-666, 1966.
DOI : 10.2170/jjphysiol.16.658

T. Kagawa and M. Mochizuki, Numerical solution of partial differential equation describing oxygenation rate of the red blood cell., The Japanese Journal of Physiology, vol.32, issue.2, pp.197-218, 1982.
DOI : 10.2170/jjphysiol.32.197

S. Chakraborty, V. Balakotaiah, and A. Bidani, Diffusing capacity reexamined: relative roles of diffusion and chemical reaction in red cell uptake of O2, CO, CO2, and NO, Journal of Applied Physiology, vol.97, issue.6, pp.2284-2302, 2004.
DOI : 10.1152/japplphysiol.00469.2004

J. B. Glazier, J. M. Hughes, J. E. Maloney, and J. B. West, Measurements of capillary dimensions and blood volume in rapidly frozen lungs, Journal of Applied Physiology, vol.26, pp.65-76, 1969.

D. A. Warrell, J. W. Evans, R. O. Clarke, G. P. Kingaby, and J. B. West, Pattern of filing in the pulmonary capillary bed, Journal of Applied Physiology, vol.32, pp.346-356, 1972.

C. C. Hsia, Recruitment of Lung Diffusing Capacity, Chest, vol.122, issue.5, pp.1774-1783, 2002.
DOI : 10.1378/chest.122.5.1774

G. Manier, J. Moinard, and H. Sto¨?cheffsto¨?cheff, Pulmonary diffusing capacity after maximal exercise, Journal of Applied Physiology, vol.75, pp.2580-2585, 1993.

R. M. Tamhane, J. Johnson, R. L. , and C. C. Hsia, Pulmonary Membrane Diffusing Capacity and Capillary Blood Volume Measured During Exercise From Nitric Oxide Uptake, Chest, vol.120, issue.6, pp.1850-1856, 2001.
DOI : 10.1378/chest.120.6.1850

G. S. Zavorsky, K. B. Quiron, P. S. Massarelli, and L. C. Lands, The Relationship Between Single-Breath Diffusion Capacity of the Lung for Nitric Oxide and Carbon Monoxide During Various Exercise Intensities, Chest, vol.125, issue.3, pp.1019-1027, 2004.
DOI : 10.1378/chest.125.3.1019

N. C. Staub, J. M. Bischop, and R. E. Forster, Importance of diffusion and chemical reaction rates in O2 uptake in the lungs, Journal of Applied Physiology, vol.17, pp.21-27, 1962.

E. Heidelberger and R. B. Reeves, O2 transfer kinetics in a whole blood unicellular thin layer, Journal of Applied Physiology, vol.68, pp.1854-1864, 1990.

D. C. Betticher, W. H. Reinhart, and J. Geiser, Effect of RBC shape and deformability on pulmonary O2 diffusing capacity and resistance to flow in rabbit lungs, Journal of Biomechanical Engineering, vol.78, pp.778-783, 1995.

C. C. Hsia, J. Johnson, R. L. , and D. Shah, Red cell distribution and the recruitment of pulmonary diffusing capacity, Journal of Applied Physiology, vol.86, pp.1460-1467, 1999.

G. Manier, J. Moinard, P. Téchoueyres, N. Varène, and H. Guénard, Pulmonary diffusion limitation after prolonged strenuous exercise, Respiration Physiology, vol.83, issue.2, pp.143-154, 1991.
DOI : 10.1016/0034-5687(91)90024-D

B. Sapoval, M. Filoche, and E. R. , Smaller is better--but not too small: A physical scale for the design of the mammalian pulmonary acinus, Proceedings of the National Academy of Sciences, vol.99, issue.16, pp.9910411-10416, 2002.
DOI : 10.1073/pnas.122352499

. Per-olof-astrand, Précis de physiologie de l'exercice musculaire, 1994.

M. Florens, B. Sapoval, and M. Filoche, An anatomical and functional model of the human tracheobronchial tree, Journal of Applied Physiology, vol.110, issue.3, 2010.
DOI : 10.1152/japplphysiol.00984.2010

G. Manier, J. Moinard, and H. Sto¨?cheffsto¨?cheff, Pulmonary diffusing capacity after maximal exercise, Journal of Applied Physiology, vol.75, pp.2580-2585, 1993.

R. M. Tamhane, J. Johnson, R. L. , and C. C. Hsia, Pulmonary Membrane Diffusing Capacity and Capillary Blood Volume Measured During Exercise From Nitric Oxide Uptake, Chest, vol.120, issue.6, pp.1850-1856, 2001.
DOI : 10.1378/chest.120.6.1850

G. S. Zavorsky, K. B. Quiron, P. S. Massarelli, and L. C. Lands, The Relationship Between Single-Breath Diffusion Capacity of the Lung for Nitric Oxide and Carbon Monoxide During Various Exercise Intensities, Chest, vol.125, issue.3, pp.1019-1027, 2004.
DOI : 10.1378/chest.125.3.1019

J. B. Glazier, J. M. Hughes, J. E. Maloney, and J. B. West, Measurements of capillary dimensions and blood volume in rapidly frozen lungs, Journal of Applied Physiology, vol.26, pp.65-76, 1969.

D. A. Warrell, J. W. Evans, R. O. Clarke, G. P. Kingaby, and J. B. West, Pattern of filing in the pulmonary capillary bed, Journal of Applied Physiology, vol.32, pp.346-356, 1972.

C. C. Hsia, Recruitment of Lung Diffusing Capacity, Chest, vol.122, issue.5, pp.1774-1783, 2002.
DOI : 10.1378/chest.122.5.1774

W. W. Jr and . Wagner, Capillary recruitment in the pulmonary microcirculation, Chest, vol.93, pp.85-88, 1988.

W. Hanson, Site of recruitment in the pulmonary microcirculation, Journal of Applied Physiology, vol.66, issue.5, pp.2079-2083, 1989.

M. Florens, B. Sapoval, and M. Filoche, An anatomical and functional model of the human tracheobronchial tree, Journal of Applied Physiology, vol.110, issue.3, 2010.
DOI : 10.1152/japplphysiol.00984.2010