Vascular tree structure affects lung blood flow heterogeneity simulated in three dimensions

Journal of Applied Physiology

Volumn 83, Issue 4, 1997, Pages 1370-1382

  Parker, James C ^a,b   Cave, Chris B ^a   Ardell, Jeffrey L ^a   Hamm, Charles R ^b   Williams, Susan G ^a  

^a UNIVERSITY OF SOUTH ALABAMA   (United States)

^b UNIVERSITY OF SOUTH ALABAMA COLLEGE OF MEDICINE   (United States)

Author keywords

Computer simulation; Distance correlation; Gravity gradients fractal analysis; Pulmonary circulation; Regional pulmonary blood flow; Relative dispersion

Indexed keywords

ARTICLE; BLOOD FLOWMETRY; GENETIC HETEROGENEITY; HUMAN; HUMAN CELL; HUMAN TISSUE; LUNG BLOOD FLOW; LUNG CIRCULATION; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; PULMONARY ARTERY; SIMULATION; THREE DIMENSIONAL IMAGING;

EID: 0030813511     PISSN: 87507587     EISSN: None     Source Type: Journal    
DOI: 10.1152/jappl.1997.83.4.1370     Document Type: Article

References (46)

1. Baish, J. W. Formulation of a statistical model of heat transfer in perfused tissue. J. Biomech. Eng. 116: 521-527, 1994.
2. Bassingthwaighte, J. B., R. B. King, and S. A. Roger. Fractal nature of regional myocardial blood flow heterogeneity. Circ. Res. 65: 578-590, 1989.
3. Bassingthwaighte, J. B., L. S. Liebovitch, and B. J. West. Fractal Physiology. New York: Oxford Univ. Press, 1994.
4. Beck, K. C. Influence of vascular distending pressure on regional flows in isolated perfused dog lungs. J. Appl. Physiol. 69: 1869-1874, 1990.
5. Beck, K. C., and K. Rehder. Differences in regional vascular conductances in isolated dog lungs. J. Appl. Physiol. 61: 530-538, 1986.
6. Caruthers, S. D., and T. R. Harris. Effects of pulmonary blood flow on the fractal nature of flow heterogeneity in sheep lungs. J. Appl. Physiol. 77: 1474-1479, 1994.
7. Glenny, R. W. Spatial correlation of regional pulmonary perfusion. J. Appl. Physiol. 72: 2378-2386, 1992.
8. Glenny, R. W., W. J. Lamm, R. K. Albert, and H. T. Robertson. Gravity is a minor determinant of pulmonary blood flow distribution. J. Appl. Physiol. 71: 620-629, 1991.
9. Glenny, R. W., L. Polissar, and H. T. Robertson. Relative contribution of gravity to pulmonary perfusion heterogeneity. J. Appl. Physiol. 71: 2449-2452, 1991.
10. Glenny, R. W., and H. T. Robertson. Fractal properties of pulmonary blood flow: characterization of spatial heterogeneity. J. Appl. Physiol. 69: 532-545, 1990.
11. Glenny, R. W., and H. T. Robertson. Fractal modeling of pulmonary blood flow heterogeneity. J. Appl. Physiol. 70: 1024-1030, 1991.
12. Glenny, R. W., and H. T. Robertson. A computer simulation of pulmonary perfusion in three dimensions. J. Appl. Physiol. 79: 357-369, 1995.
13. Hakim, T. S., R. Lisbona, and G. W. Dean. Gravity-independent inequality in pulmonary blood flow in humans. J. Appl. Physiol. 63: 1114-1121, 1987.
14. Hakim, T. S., R. Lisbona, and G. W. Dean. Gravity-nondependent distribution of pulmonary blood flow. J. Appl. Physiol. 66: 1014-1015, 1989.
15. Hakim, T. S., R. Lisbona, and G. W. Dean. Effect of cardiac output on gravity-dependent and nondependent inequality in pulmonary blood flow. J. Appl. Physiol. 66: 1570-1578, 1989.
16. Hanson, W. L., J. D. Emhardt, J. P. Bartek, L. P. Latham, L. L. Checkley, R. L. Capen, and W. W. J. Wagner. Site of recruitment in the pulmonary microcirculation. J. Appl. Physiol. 66: 2079-2083, 1989.
17. Haworth, S. T., J. H. Linehan, T. A. Bronikowski, and C. A. Dawson. Ahemodynamic model representation of the dog lung. J. Appl. Physiol. 70: 15-26, 1991.
18. Horsfield, K. Morphology of the small pulmonary vessels in man. Circ. Res. 42: 593-597, 1978.
19. Horsfield, K. Pulmonary airways and blood vessels considered as confluent trees. In: The Lung, edited by R. G. Crystal and J. B. West. New York: Raven, 1991, vol. I, p. 721-727.
20. Horsfield, K., W. Kemp, and S. Phillips. An asymmetrical model of the airways of the dog lung. J. Appl. Physiol. 52: 21-26, 1982.
21. Krenz, G. S., J. Lin, C. A. Dawson, and J. H. Linehan. Impact of parallel heterogeneity on a continuum model of the pulmonary arterial tree. J. Appl. Physiol. 77: 660-670, 1994.
22. Krenz, G. S., J. H. Linehan, and C. A. Dawson. A fractal continuum model of the pulmonary arterial tree. J. Appl. Physiol. 72: 2225-2237, 1992.
23. Lefevre, J. Teleonomical optimization of a fractal model of the pulmonary arterial bed. J. Theor. Biol. 102: 225-248, 1983.
24. Mandelbrot, B. B. Fractals. San Francisco, CA: Freeman, 1977.
25. Mandelbrot, B. B. The Fractal Geometry of Nature. San Francisco, CA: Freeman, 1982.
26. Mercer, R. R., and J. D. Crapo. Three-dimensional reconstruction of the rat acinus. J. Appl. Physiol. 63: 785-794, 1987.
27. Nelson, T. R., and D. K. Manchester. Modeling of lung morphogenesis using fractal geometries. IEEE Trans. Med. Imaging 7: 321-327, 1988.
28. Parker, J. C., J. L. Ardell, C. R. Hamm, S. A. Barman, and P. J. Coker. Regional pulmonary blood flow during rest, tilt, and exercise in unanesthetized dogs. J. Appl. Physiol. 78: 838-846, 1995.
29. Phalen, R. F., H. C. Yeh, G. M. Schum, and O. G. Raabe. Application of an idealized model to morphometry of the mammalian tracheobronchial tree. Anat. Rec. 190: 167-176, 1978.
30. Rodriguez, M., S. Bur, A. Favre, and E. R. Weibel. The pulmonary acinus: geometry and morphometry of the peripheral airway system in rat and rabbit. Am. J. Anat. 180: 143-155, 1987.
31. Schreider, J. P., and O. G. Raabe. Structure of the human respiratory acinus. Am. J. Anat. 162: 221-232, 1981.
32. Schreiner, W., and P. F. Buxbaum. Computer optimization of vascular trees. IEEE Trans. Biomed. Eng. 40: 482-491, 1993.
33. Thurlbeck, A., and K. Horsfield. Branching angles in the broncheal tree related to order of branching. Respir. Physiol. 41: 173-181, 1980.
34. Uylings, H. B. M. Optimization of diameters and bifurcation angles in lung and vascular tree structures. Bull. Math. Biol. 39: 509-520, 1977.
35. Van Beek, J. H. G., S. A. Roger, and J. B. Bassingthwaighte. Regional myocardial flow heterogeneity explained with fractal networks. Am. J. Physiol. 257 (Heart Circ. Physiol. 26): H1670-H1680, 1989.
36. Velazquez, M., and D. P. Schuster. Effect of regional pulmonary blood flow on extravascular lung water measurements with PET. J. Appl. Physiol. 65: 1267-1273, 1988.
37. Wang, C. Y., and J. B. Bassingthwaighte. Area-filling distributive network model. Math. Comput. Modeling 13: 27-33, 1990.
38. Weibel, E. R. Morphology of the Human Lung. New York: Academic, 1963.
39. Weibel, E. R. Design of airways and blood vessels considered as branching trees. In: The Lung, edited by R. G. Crystal and J. B. West. New York: Raven, 1991, vol. I, p. 711-720.
40. West, B. J., V. Bhargava, and A. L. Goldberger. Beyond the principle of similitude: renormalization in the bronchial tree. J. Appl. Physiol. 60: 1089-1097, 1986.
41. West, J. B. Gravity and pulmonary blood flow distribution. J. Appl. Physiol. 73: 2201-2202, 1992.
42. West, J. B., and C. T. Dollery. Distribution of blood flow and the pressure-flow relations of the whole lung. J. Appl. Physiol. 20: 175-183, 1965.
43. West, J. B., C. T. Dollery, and A. Naimark. Distribution of blood flow in isolated lung; relation to vascular and alveolar pressures. J. Appl. Physiol. 19: 713-724, 1964.
44. Yen, R. T., F. Y. Zhuang, Y. C. Fung, and H. H. Ho. Morphometry of cat's pulmonary arterial tree. J. Biomech. Eng. 106: 131-138, 1984.
45. Zamir, M. Optimality principles in arterial branching. J. Theor. Biol. 62: 227-251, 1976.
46. Zhuang, F. Y., Y. C. Fung, and R. T. Yen. Analysis of blood flow in cat's lung with detailed anatomic and elastic data. J. Appl. Physiol. 55: 1341-1348, 1983.