Flow and pressure distributions in vascular networks consisting of distensible vessels

American Journal of Physiology - Heart and Circulatory Physiology

Volumn 284, Issue 6 53-6, 2003, Pages

  Krenz, Gary S ^a,c   Dawson, Christopher A ^b,c,d  

^a MARQUETTE UNIVERSITY   (United States)

^b Medical College of Wisconsin and Marquette University   (United States)

^c CLEMENT J ZABLOCKI VETERANS AFFAIRS MEDICAL CENTER   (United States)

^d MEDICAL COLLEGE OF WISCONSIN   (United States)

Author keywords

Flow partitioning; Heterogeneity; Mathematical models; Nonlinear; Pulmonary circulation

Indexed keywords

ADAPTATION; ARTICLE; BLOOD FLOW; BLOOD PRESSURE; BLOOD VESSEL DIAMETER; CALCULATION; CELL HETEROGENEITY; EVOLUTION; HEART OUTPUT; HUMAN; LUNG BLOOD VESSEL; LUNG CIRCULATION; MATHEMATICAL MODEL; METHODOLOGY; NONHUMAN; PRIORITY JOURNAL; THEORY;

ALGORITHMS; BLOOD PRESSURE; BLOOD VESSELS; CARDIAC OUTPUT; HOMEOSTASIS; MODELS, STATISTICAL; PULMONARY CIRCULATION; REGIONAL BLOOD FLOW; VASODILATION;

EID: 0038104889     PISSN: 03636135     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (53)

1. Al-Tinawi A, Clough AV, Harder DR, Linehan JH, Rickaby DA, and Dawson CA. Distensibility of small veins of the dog lung. J Appl Physiol 73: 2158-2165, 1992.
2. Al-Tinawi A, Madden JA, Dawson CA, Linehan JH, Harder DR, and Rickaby DA. Distensibility of small arteries of the dog lung. J Appl Physiol 71: 1714-1722, 1991.
3. Benjamin JJ, Murtagh PS, Proctor DF, Menkes HA, and Permutt S. Pulmonary vascular interdependence in excised dog lobes. J Appl Physiol 37: 887-894, 1974.
4. Bernard SL, Glenny RW, Erickson HH, Fedde MR, Polissar N, Basaraba RJ, and Hlastala MP. Minimal redistribution of pulmonary blood flow with exercise in racehorses. J Appl Physiol 81: 1049-1050, 1996.
5. Bshouty Z and Younes M. Distensibility and pressure-flow relationship of the pulmonary circulation. I. Single-vessel model. J Appl Physiol 68: 1501-1513, 1990.
6. Caro CG and Saffman PG. Extensibility of blood vessels in isolated rabbit lungs. J Physiol 178: 193-210, 1965.
7. Coflesky JT, Jones RC, Reid LM, and Evans JN. Mechanical properties and structure of isolated pulmonary arteries remodeled by chronic hyperoxia. Am Rev Respir Dis 136: 388-394, 1987.
8. Cox RH. Comparison of mechanical and chemical properties of extra- and intralobar canine pulmonary arteries. Am J Physiol Heart Circ Physiol 242: H245-H253, 1982.
9. Dawson CA, Krenz GS, Karau KL, Haworth ST, Hanger CC, and Linehan JH. Structure-function relationships in the pulmonary arterial tree. J Appl Physiol 86: 569-583, 1999.
10. Dawson CA, Krenz GS, and Linehan JH. Complexity and structure-function relationships in the pulmonary arterial tree. In: Complexity in Structure and Function of the Lung, edited by Hlastala MP and Robertson HT. New York: Dekker, 1998, p. 401-427.
11. Finlay M, Barer GR, and Suggett AJ. Quantitative changes in the rat pulmonary vasculature in chronic hypoxia - relation to haemodynamic changes. Q J Exp Physiol 71: 151-163, 1986.
12. Frasher WG Jr and Sobin SS. Pressure-volume response of isolated living main pulmonary artery in dogs. J Appl Physiol 20: 675-682, 1965.
13. Fung YC. Biomechanics: Circulation. New York: Springer, 1997.
14. Fung YC and Sobin SS. Theory of sheet flow in lung alveoli. J Appl Physiol 26: 472-488, 1969.
15. Glazier JB, Hughes JM, Maloney JE, and West JB. Measurements of capillary dimensions and blood volume in rapidly frozen lungs. J Appl Physiol 26: 65-76, 1969.
16. Glenny RW, McKinney S, and Robertson HT. Spatial pattern of pulmonary blood flow distribution is stable over days. J Appl Physiol 82: 902-907, 1997.
17. Glenny RW and Robertson HT. Fractal properties of pulmonary blood flow: characterization of spatial heterogeneity. J Appl Physiol 69: 532-545, 1990.
18. Grant BJB and Canty JM Jr. Effect of cardiac output on pulmonary hemodynamics. Respir Physiol 76: 303-318, 1989.
19. Greenfield JC Jr and Griggs DM Jr. Relation between pressure and diameter in main pulmonary artery of man. J Appl Physiol 18: 557-559, 1963.
20. Greenwald SE, Berry CL, and Haworth SG. Changes in the distensibility of the intrapulmonary arteries in the normal new-born and growing pig. Cardiovasc Res 16: 716-725, 1982.
21. Guntheroth WG, Luchtel DL, and Kawabori I. Pulmonary microcirculation: tubules rather than sheet and post. J Appl Physiol 53: 510-515, 1982.
22. Hakim TS, Dean GW, and Lisbona R. Quantification of spatial blood flow distribution in isolated canine lung. Invest Radiol 23: 498-504, 1988.
23. Hakim TS, Lisbona R, and Dean GW. Effect of cardiac output on gravity-dependent and nondependent inequality in pulmonary blood flow. J Appl Physiol 66: 1570-1578, 1989.
24. Haworth ST, Rickaby DA, Linehan JH, and Dawson CA. Subpleural pulmonary microvascular pressures in the dog lung. J Appl Physiol 79: 615-622, 1995.
25. Herve P, Musset D, Simonneau G, Wagner W Jr, and Duroux P. Almitrine decreases the distensibility of the large pulmonary arteries in man. Chest 96: 572-577, 1989.
26. Hillier SC, Godbey PS, Hanger CC, Graham JA, Presson RG Jr, Okada O, Linehan JH, Dawson CA, and Wagner WW Jr. Direct measurement of pulmonary microvascular distensibility. J Appl Physiol 75: 2106-2111, 1993.
27. Ingram RH, Szidon JP, and Fishman AP. Response of the main pulmonary artery of dogs to neuronally released versus blood-borne norepinephrine. Circ Res 26: 249-262, 1970.
28. Karau KL, Johnson RH, Molthen RC, Dhyani AH, Haworth ST, Hanger CC, Roerig DL, and Dawson CA. Microfocal x-ray CT imaging and pulmonary arterial distensibility in excised rat lungs. Am J Physiol Heart Circ Physiol 281: H1447-H1457, 2001.
29. Kiani MF and Hudetz AG. A semi-empirical model of apparent blood viscosity as a function of vessel diameter and discharge hematocrit. Biorheology 28: 65-73, 1991.
30. Krenz GS and Dawson CA. Vessel distensibility and flow distribution in vascular trees. J Math Biol 44: 360-374, 2002.
31. Krenz GS, Linehan JH, and Dawson CA. A fractal continuum model of the pulmonary arterial tree. J Appl Physiol 72: 2225-2237, 1992.
32. Labarbera M. The design of fluid transport systems: a comparative perspective. In: Flow-Dependent Regulation of Vascular Function, edited by Bevan JA, Kaley G, and Rubanyi GM. New York: Oxford University Press, 1995, chapt. 1, p. 3-27.
33. Lai-Fook SJ. A continuum mechanics analysis of pulmonary vascular interdependence in isolated dog lobes. J Appl Physiol 46: 419-429, 1979.
34. Lai-Fook SJ and Hyatt RE. Effect of parenchyma and length changes on vessel pressure-diameter behavior in pig lungs. J Appl Physiol 47: 666-669, 1979.
35. Leach RM, Twort CHC, Cameron IR, and Ward JPT. A comparison of the pharmacological and mechanical properties in vitro of large and small pulmonary arteries of the rat. Clin Sci (Lond) 82: 55-62, 1992.
36. Linehan JH, Haworth ST, Nelin LD, Krenz GS, and Dawson CA. A simple distensible vessel model for interpreting pulmonary vascular pressure-flow curves. J Appl Physiol 73: 987-994, 1992.
37. Liu SQ. Alterations in structure of elastic laminae of rat pulmonary arteries in hypoxic hypertension. J Appl Physiol 81: 2147-2155, 1996.
38. Luchsinger PC, Sachs M, and Patel DJ. Pressure-radius relationship in large blood vessels of man. Circ Res 11: 885-888, 1962.
39. Maloney JC, Roohalamini SA, and Wexler L. Pressure-diameter relations of small blood vessels in isolated dog lung. Microvasc Res 2: 1-12, 1970.
40. Mazzone RW. Influence of vascular and transpulmonary pressures on the functional morphology of the pulmonary microcirculation. Microvasc Res 20: 295-306, 1980.
41. Otis AB, McKerrow CB, Bartlett RA, Mead J, McIlroy MB, Selverstone NJ, and Radford EP. Mechanical factors in distribution of pulmonary ventilation. J Appl Physiol 8: 427-443, 1955.
42. Patel DJ, Schilder DP, and Mallos AJ. Mechanical properties and dimensions of the major pulmonary arteries. J Appl Physiol 15: 92-96, 1960.
43. Pries AR, Secomb TW, and Gaehtgens P. Structural adaptation and stability of microvascular networks: theory and simulations. Am J Physiol Heart Circ Physiol 275: H349-H360, 1998.
44. Reid L. Structural and functional reappraisal of the pulmonary artery system. In: The Scientific Basis of Medicine Annual Reviews. London: Athlone, 1968, chapt. 17, p. 289-307.
45. Shelton DK Jr and Olson RM. A nondestructive technique to measure pulmonary artery diameter and its pulsatile variations. J Appl Physiol 33: 542-544, 1972.
46. Sinclair SE, McKinney S, Glenny RW, Bernard SL, and Hlastala MP. Exercise alters fractal dimension and spatial correlation of pulmonary blood flow in the horse. J Appl Physiol 88: 2269-2278, 2000.
47. Sobin SS and Fung YC. Response to challenge to the Sobin-Fung approach to the study of pulmonary microcirculation. Chest 101: 1135-1143, 1992.
48. Sobin SS, Lindal RG, Fung YC, and Tremer HM. Elasticity of the smallest noncapillary pulmonary blood vessels in the cat. Microvasc Res 15: 57-68, 1978.
49. Van Beek JH, Roger SA, and Bassingthwaighte JB. Regional myocardial flow heterogeneity explained with fractal networks. Am J Physiol Heart Circ Physiol 257: H1670-H1680, 1989.
50. Yen RT. Elasticity of microvessels in postmortem human lungs. In: Microvascular Mechanics, edited by Lee J-S and Skalak TC. New York: Springer-Verlag, 1989, p. 175-190.
51. Yen RT, Fung YC, and Bingham N. Elasticity of small pulmonary arteries in the cat. J Biomed Eng 102: 170-177, 1980.
52. Yen RT and Sobin SS. Elasticity of arterioles and venules in postmortem human lungs. J Appl Physiol 64: 611-619, 1988.
53. Zhuang FY, Fung YC, and Yen RT. Analysis of blood flow in cat's lung with detailed anatomical and elasticity data. J Appl Physiol 5: 1341-1348, 1983.