Input impedance of distributed arterial structures as used in investigations of underlying concepts in arterial haemodynamics

Medical and Biological Engineering and Computing

Volumn 47, Issue 2, 2009, Pages 143-151

  Avolio, Alberto ^a  

^a MACQUARIE UNIVERSITY   (Australia)

Author keywords

Allometric relations; Arterial haemodynamics; Multibranched models; Vascular impedance

Indexed keywords

ALLOMETRIC RELATIONS; ANIMAL SPECIES; ARTERIAL HAEMODYNAMICS; ARTERIAL MODELS; ARTERIAL NETWORKS; ARTERIAL SYSTEMS; BODY SIZES; BRANCHING STRUCTURES; FREQUENCY DOMAINS; FUNDAMENTAL CONCEPTS; IMPEDANCE SPECTRUM; INPUT IMPEDANCES; MATHEMATICAL DESCRIPTIONS; MULTIBRANCHED MODELS; OPTIMAL DESIGNS; PHYSICAL PARAMETERS; SIMULTANEOUS MEASUREMENTS; SINUSOIDAL FUNCTIONS; SPECTRAL VALUES; STRUCTURE AND PHYSICAL PROPERTIES; TIME-VARYING SIGNALS; VASCULAR IMPEDANCE; VASCULAR STRUCTURES; VASCULAR SYSTEMS;

BLOOD PRESSURE; ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE MEASUREMENT; FREQUENCY DOMAIN ANALYSIS; HEMODYNAMICS; HYDRODYNAMICS; MECHANICAL PROPERTIES; PHYSICAL PROPERTIES; TIME DOMAIN ANALYSIS; TRAFFIC CONTROL;

PHYSIOLOGICAL MODELS;

ANIMALS; ARTERIES; BODY SIZE; HEMODYNAMICS; HUMANS; MODELS, CARDIOVASCULAR; VASCULAR RESISTANCE;

EID: 60649094288     PISSN: 01400118     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11517-008-0413-0     Document Type: Article

References (51)

1. Avolio AP, O'Rourke MF, Mang K, Bason PT, Gow BS (1976) A comparative study of pulsatile arterial hemodynamics in rabbits and guinea pigs. Am J Physiol 230(4):868-875
2. Avolio AP, O'Rourke MF, Webster ME (1983) Pulse-wave propagation in the arterial system of the diamond python Morelia spilotes. Am J Physiol 245(6):R831-R836
3. Avolio AP (1980) Multi-branched model of the human arterial system. Med Biol Eng Comput 18(6):709-718. doi: 10.1007/BF02441895
4. Avolio AP (1976) Haemodynamic studies and modeling of the mammalian arterial system. PhD Thesis, University of New South Wales, Sydney
5. Bennett SH, Goetzman BW, Milstein JM, Pannu JS (1996) Role of arterial design on pulse wave reflection in a fractal pulmonary network. J Appl Physiol 80(3):1033-1056
6. Brown DJ (1996) Input impedance and reflection coefficient in fractal-like models of asymmetrically branching compliant tubes. IEEE Trans Biomed Eng 43(7):715-722. doi: 10.1109/10.503179
7. Burattini R, Di Carlo S (1988) Effective length of the arterial circulation determined in the dog by aid of a model of the systemic input impedance. IEEE Trans Biomed Eng 35(1):53-61. doi: 10.1109/10.1336
8. Elzinga G, Westerhof N (1991) Matching between ventricle and arterial load. An evolutionary process. Circ Res 68(6):1495-1500
9. Grasman J, Brascamp JW, Van Leeuwen JL, Van Putten B (2003) The multifractal structure of arterial trees. J Theor Biol 220(1):75-82
10. Günther B (1975) Dimensional analysis and theory of biological similarity. Physiol Rev 55(4):659-699
11. Heymsfield SB, Childers D, Beetsch J, Allison DB, Pietrobelli A (2007) Body size and human energy requirements: Reduced mass specific resting energy expenditure in tall adults. J Appl Physiol 103:1543-1550. doi: 10.1152/japplphysiol.00461.2007
12. Hlastala MP, Glenny RW (1999) Vascular structure determines pulmonary blood flow distribution. News Physiol Sci 14:182-186
13. Karamanoglu M, Gallagher DE, Avolio AP, O'Rourke MF (1994) Functional origin of reflected pressure waves in a multibranched model of the human arterial system. Am J Physiol 267(5 Pt 2):H1681-H1688
14. Karamanoglu M, Gallagher DE, Avolio AP, O'Rourke MF (1995) Pressure wave propagation in a multibranched model of the human upper limb. Am J Physiol 269(4 Pt 2):H1363-H1369
15. Kassab GS (2006) Scaling laws of vascular trees: Of form and function. Am J Physiol Heart Circ Physiol 290(2):H894-H903. doi: 10.1152/ ajpheart.00579.2005
16. Krenz GS, Linehan JH, Dawson CA (1992) A fractal continuum model of the pulmonary arterial tree. J Appl Physiol 72(6):2225-2237
17. Lefèvre J (1983) Teleonomical optimization of a fractal model of the pulmonary arterial bed. J Theor Biol 102(2):225-248. doi: 10.1016/ 0022-5193(83)90361-2
18. Li JK, Noordergraaf A (1991) Similar pressure pulse propagation and reflection characteristics in aortas of mammals. Am J Physiol 261(3 Pt 2):R519-R521
19. Li JKJ (1996) Comparative cardiovascular dynamics of mammals. CRC Press, Boca Raton, pp 23-57
20. Milnor WR, Conti CR, Lewis KB, O'Rourke MF (1969) Pulmonary arterial pulse wave velocity and impedance in man. Circ Res 25(6):637-649
21. Milnor WR (1979) Aortic wavelength as a determinant of the relation between heart rate and body size in mammals. Am J Physiol 237(1):R3-R6
22. Mohiuddin MW, Laine GA, Quick CM (2007) Increase in pulse wavelength causes the systemic arterial tree to degenerate into a classical windkessel. Am J Physiol Heart Circ Physiol 293(2):H1164-H1171. doi: 10.1152/ajpheart.00133.2007
23. Nichols WW, O'Rourke MF (2005) McDonald's blood flow in arteries. Arnold, London
24. Nichols WW, Avolio AP, O'Rourke MF (1986) Ascending aortic impedance patterns in the kangaroo: Their explanation and relation to pressure waveforms. Circ Res 59(3):247-255
25. Noordergraaf A, Li JK, Campbell KB (1979) Mammalian hemodynamics: A new similarity principle. J Theor Biol 79(4):485-489. doi: 10.1016/ 0022-5193(79)90239-X
26. Noordergraaf A (1978) Circulatory system dynamics. Academic Press, New York, pp 105-156
27. O'Rourke MF, Avolio AP (1980) Pulsatile flow and pressure in human systemic arteries. Studies in man and in a multibranched model of the human systemic arterial tree. Circ Res 46(3):363-372
28. O'Rourke MF (1967) Pressure and flow waves in systemic arteries and the anatomical design of the arterial system. J Appl Physiol 23(2):139-149
29. Pollack GH, Reddy RV, Noordergraaf A (1968) Input impedance, wave travel, and reflections in the human pulmonary arterial tree: Studies using an electrical analog. IEEE Trans Biomed Eng 15(3):151-164. doi: 10.1109/TBME.1968.4502559
30. Quick CM, Berger DS, Stewart RH, Laine GA, Hartley CJ, Noordergraaf A (2006) Resolving the hemodynamic inverse problem. IEEE Trans Biomed Eng 53(3):361-368. doi: 10.1109/TBME.2005.869664
31. Quick CM, Young WL, Noordergraaf A (2001) Infinite number of solutions to the hemodynamic inverse problem. Am J Physiol Heart Circ Physiol 280(4):H1472-H1479
32. Rashevsky N (1960) Mathematical biology. Dover, New York
33. Rosen R (1967) Optimality principles in biology. Butterworths, London
34. Schmidt-Nielsen K (1984) Scaling: Why is animal size so important. Cambridge University Press, Cambridge
35. Segers P, Stergiopulos N, Verdonck P, Verhoeven R (1997) Assessment of distributed arterial network models. Med Biol Eng Comput 35(6):729-736. doi: 10.1007/BF02510985
36. Sheng C, Sarwal SN, Watts KC, Marble AE (1995) Computational simulation of blood flow in human systemic circulation incorporating an external force field. Med Biol Eng Comput 33(1):8-17. doi: 10.1007/BF02522938
37. Smulyan H, Marchais SJ, Pannier B, Guerin AP, Safar ME, London GM (1998) Influence of body height on pulsatile arterial hemodynamic data. J Am Coll Cardiol 31(5):1103-1109. doi: 10.1016/S0735-1097(98)00056-4
38. Snyder MF, Rideout VC, Hillestad RJ (1968) Computer modeling of the human systemic arterial tree. J Biomech 1(4):341-353. doi: 10.1016/ 0021-9290(68)90029-8
39. Stergiopulos N, Meister JJ, Westerhof N (1995) Scatter in input impedance spectrum may result from the elastic nonlinearity of the arterial wall. Am J Physiol 269(4 Pt 2):H1490-H1495
40. Stergiopulos N, Young DF, Rogge TR (1992) Computer simulation of arterial flow with applications to arterial and aortic stenoses. J Biomech 25(12):1477-1488. doi: 10.1016/0021-9290(92)90060-E
41. Taylor MG (1966) The input impedance of an assembly of randomly branching elastic tubes. Biophys J 6(1):29-51
42. Taylor MG (1966) Wave transmission through an assembly of randomly branching elastic tubes. Biophys J 6(6):697-716
43. Taylor MG (1969) In: Fishman AP, Hecht HH (eds) The pulmonary circulation and interstitial space. University of Chicago Press, Chicago
44. Westerhof N, Bosman F, De Vries CJ, Noordergraaf A (1969) Analog studies of the human systemic arterial tree. J Biomech 2(2):121-143. doi: 10.1016/0021-9290(69)90024-4
45. Westerhof N, Elzinga G (1991) Normalized input impedance and arterial decay time over heart period are independent of animal size. Am J Physiol 261(1 Pt 2):R126-R133
46. Westerhof N, Elzinga G, Sipkema P (1971) An artificial arterial system for pumping hearts. J Appl Physiol 31(5):776-781
47. Westerhof N, Scarborough WR, Noordergraaf A (1967) Some experiments on a delay line simulating the human systemic arterial tree, with special emphasis on the ballistocardiogram. Bibl Cardiol (19):141-150
48. Wiener F, Morkin E, Skalak R, Fishman AP (1966) Wave propagation in the pulmonary circulation. Circ Res 19(4):834-850
49. Womersley JR (1957) The mathematical analysis of the arterial circulation in a state of oscillatory motion. Technical Report Wade-T. 56-614. Wright Air Development Centre, Dayton
50. Womersley JR (1958) Oscillatory flow in arteries: The reflection of the pulse at junctions and rigid inserts in the arterial system. Phys Med Biol 2:313-323. doi: 10.1088/0031-9155/2/4/301
51. Zamir M (1999) On fractal properties of arterial trees. J Theor Biol 197(4):517-526. doi: 10.1006/jtbi.1998.0892