Towards a virtual lung: Multi-scale, multi-physics modelling of the pulmonary system

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 366, Issue 1879, 2008, Pages 3247-3263

  Burrowes, K S ^a,b   Swan, A J ^b   Warren, N J ^b   Tawhai, M H ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Ciliated epithelial cell; Gas exchange; Perfusion; Ventilation

Indexed keywords

BIOLOGICAL ORGANS; BLOOD; CHEMICAL REACTIONS; CHLORINE COMPOUNDS; GASES; GRAFTING (CHEMICAL); PULMONARY DISEASES; SYNTHESIS (CHEMICAL);

BRANCHING SYSTEMS; CELLULAR FUNCTIONS; CELLULAR LEVELS; CILIATED EPITHELIAL CELL; COMPUTATIONAL MODELLING; GAS EXCHANGE; MODELLING STUDIES; MULTI SCALING; MULTI-PHYSICS; PARENCHYMAL TISSUE; PERFUSION; PULMONARY PHYSIOLOGY; PULMONARY VASCULATURE; SPATIAL SCALING; VENTILATION;

PHYSIOLOGICAL MODELS;

AUDIOVISUAL EQUIPMENT; BIOLOGICAL MODEL; BREATHING MECHANICS; COMPUTER INTERFACE; COMPUTER SIMULATION; HISTOLOGY; HUMAN; LUNG; LUNG GAS EXCHANGE; PHYSIOLOGY; REVIEW;

COMPUTER SIMULATION; HUMANS; LUNG; MODELS, ANATOMIC; MODELS, BIOLOGICAL; PULMONARY GAS EXCHANGE; RESPIRATORY MECHANICS; USER-COMPUTER INTERFACE;

EID: 49549099307     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2008.0073     Document Type: Article

References (71)

1. Burrowes, K. S. & Tawhai, M. H. 2006 Computational predictions of pulmonary blood flow gradients: gravity versus structure. Respir. Physiol. Neurobiol. 154, 515-523. (doi:10.1016/j.resp.2005.11.007)
2. Burrowes, K. S. & Tawhai, M. H. 2007 The effect of lung orientation on functional imaging of blood flow. In Proc. SPIE Medical Imaging: Physiology, Structure, and Function from, Medical Images, vol. 6511.
3. Burrowes, K. S., Tawhai, M. H. & Hunter, P. J. 2004 Modeling RBC and neutrophil distribution through an anatomically based pulmonary capillary network. Ann. Biomed. Eng. 32, 585-595. (doi:10.1023/B:ABME. 0000019178.95185.ad)
4. Burrowes, K. S., Hunter, P. J. & Tawhai, M. H. 2005 Anatomically-based finite element models of the human pulmonary arterial and venous trees including supernumerary vessels. J. Appl. Physiol. 99, 731-738. (doi:10.1152/japplphysiol.01033.2004)
5. 2, and NO. J. Appl. Physiol. 97, 2284-2302. (doi:10.1152/japplphysiol.00469.2004)
6. Chakraborty, S., Balakotaiah, V. & Bidani, A. 2007 Multiscale model for pulmonary oxygen uptake and its application to quantify hypoxemia in hepatopulmonary syndrome. J. Theor. Biol. 244, 190-207. (doi:10.1016/j.jtbi.2006.07.030)
7. Dale, P. J., Matthews, F. L. & Schröter, R. C. 1980 Finite element analysis of lung alveolus. J. Biomech. 13, 865-873. (doi:10.1016/0021-9290(80)90174-8)
8. Dawson, C. A., Krenz, G. S., Karau, K. L., Haworth, S. T., Hanger, C. C. & Linehan, J. H. 1999 Structure-function relationships in the pulmonary arterial tree. J. Appl. Physiol. 86, 569-583.
9. Denny, E. & Schroter, R. C. 1995 The mechanical behavior of a mammalian lung alveolar duct model. J. Biomech. Eng. Trans. ASME 117, 254-261. (doi:10.1115/1.2794178)
10. Denny, E. & Schroter, R. C. 1996 A mathematical model for the morphology of the pulmonary acinus. J. Biomech. Eng. Trans. ASME 118, 210-215. (doi:10.1115/1.2795961)
11. Denny, E. & Schroter, R. C. 2006 A model of non-uniform lung parenchyma distortion. J. Biomech. 39, 652-663. (doi:10.1016/j.jbiomech.2005.01.010)
12. Dhadwal, A., Wiggs, B., Doerschuk, C. & Kamm, R. 1997 Effects of anatomic variability on blood flow and pressure gradients in the pulmonary circulation. J. Appl. Physiol. 83, 1711-1720.
13. Duszyk, M. & French, A. S. 1991 An analytical model of ionic movements in airway epithelial cells. J. Theor. Biol. 151, 231-247. (doi:10.1016/S0022-5193(05)80362-5)
14. Evans, J. H. & Sanderson, M. J. 1999 Intracellular calcium oscillations induced by ATP in airway epithelial cells. Am,. J. Physiol. Lung Cell. Mol. Physiol. 277, L30-L41.
15. Fernandez, J. W., Mithraratne, P., Thrupp, S., Tawhai, M. H. & Hunter, P. J. 2004 Anatomically based geometric modelling of the musculo-skeletal system and other organs. Biomech. Model. Mechanobiol. 2, 139-155. (doi:10.1007/s10237-003-0036-1)
16. Fernandez, J. W., Buist, M. L., Nickerson, D. P. & Hunter, P. J. 2005 Modelling the passive and nerve activated response of the rectus femoris muscle to a flexion loading: a finite element framework. Med. Eng. Phys. 27, 862-870. (doi:10.1016/j.medengphy.2005.03.009)
17. Flumerfelt, R. W. & Crandall, E. D. 1968 An analysis of external respiration in man. Math. Biosci. 3, 205-230. (doi:10.1016/0025- 5564(68)90081-3)
18. Fung, Y. 1988 A model of the lung structure and its validation. J. Appl. Physiol. 64, 2132-2141.
19. Fung, Y. 1989 Connecting incremental shear modulus and Poisson's ratio of lung tissue with morphology and rheology of microstructure. Biorheology 26, 279-289.
20. Fung, Y. C. 1990 Biomechanics: motion, flow, stress, and growth. New York, NY: Springer.
21. Fung, Y. & Sobin, S. 1969 Theory of sheet flow in lung alveoli. J. Appl. Physiol. 26, 472-488.
22. 2+ regulates the phosphorylation and the dephosphorylation of ciliary proteins via the NO pathway. J. Gen. Physiol. 124, 527-540. (doi:10.1085/jgp. 200409153)
23. Glenny, R. W. & Robertson, H. T. 1991 Fractal modeling of pulmonary blood flow heterogeneity. J. Appl. Physiol. 70, 1024-1030.
24. Glenny, R. W., Bernard, S., Robertson, H. T. & Hlastala, M. P. 1999 Gravity is an important but secondary determinant of regional pulmonary blood flow in upright primates. J. Appl. Physiol. 86, 623-632.
25. Glenny, R., Lamm, W., Bernard, S., An, D., Chornuk, M., Pool, S., Wagner Jr, W., Hlastala, M. P. & Rovertson, H. 2000 Physiology of a microgravity environment, selected contribution: redistribution of pulmonary perfusion during weightlessness and increased gravity. J. Appl. Physiol. 89, 1239-1248.
26. Hartmann, T. & Verkman, A. S. 1990 Model of ion transport regulation in chloride-secreting airway epithelial cells. Integrated description of electrical, chemical, and fluorescence measurements. Biophys. J. 58, 391-401.
27. 2 exchange. Am. J. Physiol. 224, 904-917.
28. Hoffman, E. A. et al. 2004 The comprehensive imaging-based analysis of the lung: a forum for team science (1). Acad. Radiol. 11, 1370-1380. (doi:10.1016/j.acra.2004.09.005)
29. Hogg, J., Martin, B., Lee, S. & McLean, T. 1985 Regional differences in erythrocyte transit in normal lungs. J. Appl. Physiol. 59, 1266-1271.
30. Horisberger, J.-D. 2003 ENaC-CFTR interactions: the role of electrical coupling of ion fluxes explored in an epithelial cell model. Eur. J. Physiol. 445, 522-528.
31. Horsfield, K., Dart, G., Olson, D. E., Filley, G. F. & Cumming, G. 1971 Models of the human bronchial tree. J. Appl. Physiol. 31, 207-217.
32. Hsia, C. C., Johnson Jr, R. L. & Shah, D. 1999 Red cell distribution and the recruitment of pulmonary diffusing capacity. J. Appl. Physiol. 86, 1460-1467. (doi:10.1063/1.370965)
33. Huang, N. S. & Heliums, J. D. 1994 A theoretical model for gas transport and acid/base regulation by blood flowing in microvessels. Microvasc. Res. 48, 364-388. (doi:10.1006/mvre.1994.1062)
34. Huang, Y., Doerschuk, C. M. & Kamm, R. D. 2001 Computational modeling of RBC and neutrophil transit through the pulmonary capillaries. J. Appl. Physiol. 90, 545-564. (doi:10.1063/1.1379354)
35. Jones, A. T., Hansell, D. M. & Evans, T. W. 2001 Pulmonary perfusion in supine and prone positions: an electron-beam computed tomography study. J. Appl. Physiol. 90, 1342-1348. (doi:10.1063/1.1376404)
36. Kowe, R., Schröter, R., Matthers, F. & Hitchings, D. 1986 Analysis of elastic and surface tension effects in the lung alveolus using finite element methods. J. Biomech. 19, 541-549. (doi:10.1016/0021-9290(86)90127-2)
37. Kreda, S. M., Okada, S. F., van Heusden, C. A., O'Neal, W., Gabriel, S., Abdullah, L., Davis, C. W., Boucher, R. C. & Lazarowski, E. R. 2007 Coordinated release of nucleotides and mucin from human airway epithelial Calu-3 cells. J. Physiol. 584, 245-259. (doi:10.1113/jphysiol.2007. 139840)
38. Kumar, H., Lin, C.-L., Tawhai, M. H., McLennan, G. & Hoffman, E. A. 2007 Patterns of mixing in the alveolar region of the human lungs. In Proc. 60th Annual, Meeting of the Division of Fluid Dynamics.
39. Lai-Fook, S. J. & Hyatt, R. E. 2000 Effects of age on elastic moduli of human lungs. J. Appl. Physiol. 89, 163-168.
40. Latta, R., Clausen, C. & Moore, L. C. 1984 General method for the derivation and numerical simulation of epithelial transport models. J. Mernbr. Biol. 82, 67-82. (doi:10.1007/BF01870733)
41. 2+-evoked fluid secretion by murine nasal submucosal gland serous acinar cells. J. Physiol. 582, 1099-1124. (doi:10.1113/jphysiol.2007.131995)
42. LeGrice, I., Hunter, P. J. & Smaill, B. H. 1997 Laminar structure of the heart: a mathematical model. Am. J. Physiol. Heart Circ. Physiol. 272, H2466-H2476.
43. Lew, V. L., Ferreira, H. G. & Moura, T. 1979 The behaviour of transporting epithelial cells. I. Computer analysis of a basic model. Proc. R. Soc. B 206, 53-83. (doi:10.1098/rspb.1979.0091)
44. Lin, C.-L., Tawhai, M. H., McLennan, G. & Hoffman, E. A. 2007 Characteristics of the turbulent laryngeal jet and its effect on airflow in the human intra-thoracic airways. Respir. Physiol. Neurobiol. 157, 295-309. (doi:10.1016/j.resp.2007.02.006)
45. Lin, C.-L., Tawhai, M. H., McLennan, G. & Hoffman, E. A. In press. Multiscale simulation of gas flow in subject-specific models of the human lung. IEEE Eng. Med. Biol.
46. Liu, C. H., Niranjan, S. C., Clark Jr, J. W., San, K. Y., Zwischenberger, J. B. & Bidani, A. 1998 Airway mechanics, gas exchange, and blood flow in a nonlinear model of the normal human lung. J. Appl. Physiol. 84, 1447-1469.
47. 2+ signal encoding in airway myocytes. Cell. Biochem. Biophys. 46, 285-302. (doi:10.1385/CBB:46:3:285)
48. Mbikou, P., Fajmut, A., Brumen, M. & Roux, E. 2006 Theoretical and experimental investigation of calcium-contraction coupling in airway smooth muscle. Cell. Biochem. Biophys. 46, 233-252. (doi:10.1385/CBB:46: 3:233)
49. Mijailovich, S. M., Butler, J. P. & Fredberg, J. J. 2000 Perturbed equilibria of myosin binding in airway smooth muscle: bond-length distributions, mechanics, and ATP metabolism. Biophys. J. 79, 2667-2681.
50. Milhorn Jr, H. T. & Pulley Jr, P. E. 1968 A theoretical study of pulmonary capillary gas exchange and venous admixture. Biophys. J. 8, 337-357.
51. Miller, I. F. 1992 Mechanisms for ion and water transport across tracheal epithelium. Ind. Eng. Chem. Res. 31, 721-726. (doi:10.1021/ie00003a011)
52. Nabors, L. K., Baumgartner Jr, W. A., Janke, S. J., Rose, J. R., Wagner Jr, W. W. & Capen, R. L. 2003 Red blood cell orientation in pulmonary capillaries and its effect on gas diffusion. J. Appl. Physiol. 94, 1634-1640.
53. Nagel, G., Barbry, P., Chabot, H., Brochiero, E., Hartung, K. & Grygorczyk, R. 2005 CFTR fails to inhibit the epithelial sodium channel ENaC expressed in Xenopus laevis oocytes. J. Physiol. 564, 671-682. (doi:10.1113/jphysiol.2004.079046)
54. Noble, D. 2002 The rise of computational biology. Nat. Rev. Mol. Cell Biol. 3, 459-463. (doi:10.1038/nrm810)
55. Novotny, J. A. & Jakobsson, E. 1996 Computational studies of ion-water flux coupling in the airway epithelium. I. Construction of model. Am. J. Physiol. Cell Physiol. 270, C1751-C1763.
56. Parker, J. C., Cave, C. B., Ardell, J. L., Hamm, C. R. & Williams, S. G. 1997 Vascular tree structure affects lung blood flow heterogeneity simulated in three dimensions. J. Appl. Physiol. 83, 1370-1382.
57. Reddy, M. & Quinton, P. 2003 Functional interaction of CFTR and ENaC in sweat glands. Pflugers Arch. 445, 499-503. (doi:10.1007/s00424- 002-0959-x)
58. Robertson, H. T. & Hlastala, M. P. 2007 Invited review: microsphere maps of regional blood flow and regional ventilation. J. Appl. Physiol. 102, 1265-1272. (doi:10.1152/japplphysiol.00756.2006)
59. Roux, E., Noble, P. J., Noble, D. & Marhl, M. 2006 Modelling of calcium handling in airway myocytes. Prog. Biophys. Mol. Biol. 90, 64-87. (doi:10.1016/j.pbiomolbio.2005.05.004)
60. 2 uptake in the lung. J. Appl. Physiol. 17, 21-27.
61. Tarran, R., Button, B. & Boucher, R. C. 2006 Regulation of normal and cystic fibrosis airway surface liquid volume by phasic shear stress. Annu. Rev. Physiol. 68, 543-561. (doi:10.1146/annurev.physiol.68.072304. 112754)
62. Tawhai, M. H. & Hunter, P. J. 2004 Modeling water vapor and heat transfer in the normal and the intubated airway. Ann. Biomed. Eng. 32, 609-622. (doi:10.1023/B:ABME.0000019180.03565.7e)
63. Tawhai, M. H., Hunter, P. J., Tschirren, J., Reinhardt, J. M., McLennan, G. & Hoffman, E. A. 2004 CT-based geometry analysis and finite element models of the human and ovine bronchial tree. J. Appl. Physiol. 97, 2310-2321. (doi:10.1152/japplphysiol.00520.2004)
64. Tawhai, M. H., Nash, M. P. & Hoffman, E. A. 2006 An imaging-based computational approach to model ventilation distribution and soft tissue deformation in the ovine lung. Acad. Radiol. 13, 113-120. (doi:10.1016/j.acra.2005.09.088)
65. Trueb, T. J., Cherniack, N. S., D'Souza, A. F. & Fishman, A. P. 1971 A mathematical model of the controlled plant of the respiratory system. Biophys. J. 11, 810-834.
66. van Ertbruggen, C., Hirsch, C. & Paiva, M. 2005 Anatomically based three-dimensional model of airways to simulate flow and particle transport using computational fluid dynamics. J. Appl. Physiol. 98, 970-980. (doi:10.1152/japplphysiol.00795.2004)
67. Wang, C. H. & Popel, A. S. 1993 Effect of red blood cell shape on oxygen transport in capillaries. Math. Biosci. 116, 89-110. (doi:10.1016/0025-5564(93)90062-F)
68. Wang, I., Politi, A. Z., Tania, N., Bai, Y., Sanderson, M. J. & Sneyd, J. 2008 A mathematical model of airway and pulmonary arteriole smooth muscle. Biophys. J. 94, 2053-2064. (doi:10.1529/biophysj.107. 113977)
69. Weibel, E. R. 1963 Morphometry of the human lung. Berlin, Germany: Springer.
70. West, J. B. 1969 Ventilation-perfusion inequality and overall gas exchange in computer models of the lung. Respir. Physiol. 7, 88-110. (doi:10.1016/0034-5687(69)90071-1)
71. West, J. B., Dollery, C. T. & Naimark, A. 1964 Distribution of blood flow in isolated lung; relation to vascular and alveolar pressures. J. Appl. Physiol. 19, 713-724.