Three-and-four-element Windkessel models: Assessment of their fitting performance in a large cohort of healthy middle-aged individuals

Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine

Volumn 222, Issue 4, 2008, Pages 417-428

  Segers, Patrick ^a   Rietzschel, E R ^b   De Buyzere, M L ^b   Stergiopulos, N ^c   Westerhof, N ^d   Van Bortel, L M ^e   Gillebert, T ^b   Verdonck, P R ^a  

^a GHENT UNIVERSITY   (Belgium)

^b GHENT UNIVERSITY HOSPITAL   (Belgium)

^c EPFL   (Switzerland)

^d VU UNIVERSITY AMSTERDAM   (Netherlands)

^e GHENT UNIVERSITY   (Belgium)

Author keywords

Arterial system; Electrical analogue; Lumped parameter model; Modelling haemodynamics; Windkessel model

Indexed keywords

ARTERIAL SYSTEM; ELECTRICAL ANALOGUE; LUMPED-PARAMETER MODEL; MODELLING HAEMODYNAMICS; WINDKESSEL MODEL;

PARAMETER ESTIMATION; TREES (MATHEMATICS);

ADULT; ANIMAL; ARTERY; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COHORT ANALYSIS; COMPARATIVE STUDY; COMPUTER SIMULATION; ELASTICITY; EVALUATION; FEMALE; HUMAN; MALE; MECHANICAL STRESS; MIDDLE AGED; PHYSIOLOGY; PULSATILE FLOW; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ADULT; ANIMALS; ARTERIES; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COHORT STUDIES; COMPUTER SIMULATION; ELASTICITY; FEMALE; HUMANS; MALE; MIDDLE AGED; MODELS, CARDIOVASCULAR; PULSATILE FLOW; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; STRESS, MECHANICAL;

BLOOD PRESSURE; FORESTRY; MODELS;

ARTERIAL SYSTEMS; ELECTRICAL ANALOGUE; HAEMODYNAMICS; LUMPED PARAMETER MODELING; WINDKESSEL MODELS;

MATHEMATICAL MODELS; PRESSURE;

EID: 48449106042     PISSN: 09544119     EISSN: None     Source Type: Journal    
DOI: 10.1243/09544119JEIM287     Document Type: Article

References (25)

1. Milnor, W. R. Hemodynamics, 2nd edition, 1989 (Williams & Wilkins, Baltimore, Maryland).
2. Nichols, W. W. and O'Rourke, M. F. McDonald's blood flow in arteries, 3rd edition, 1990 (Edward Arnold, London).
3. Westerhof, N., Stergiopulos, N., and Noble, M. Snapshots of hemodynamics. An aid for clinical research and graduate education, 2004 (Springer Science + Business Media, New York).
4. Segers, P. and Verdonck, P. Principles of vascular physiology. In Pan vascular medicine. Integrated clinical management (Eds P. Lanzer and E. J. Topol), 2002 (Springer-Verlag, Heidelberg).
5. Frank, O. Die Grundfurm des arteriellen Pulses. Erste Abliandlung. Mathematische Analyse. Z. Biol., 1899, 37, 483-526.
6. Westerhof, N., Elzinga, G., and Sipkema, P. An artificial arterial system for pumping hearts. J. Appl. Physiol., 1971, 31(5), 776-781.
7. Stergiopulos, N., Meister, J. I., and Westerhof, N. Evaluation of methods for the estimation of total arterial compliance. Am. J. Physiol., 1995, 268, H1540-H1548.
8. Segers, P., Brimioulle, S., Stergiopulos, N., Westerhof, N., Naeije, R., Maggiorini, M., and Verdonck, P. Pulmonary arterial compliance in dogs and pigs: the three-element windkessel model revisited. Am. J. Physiol., 1999, 277, H725-H731.
9. Stergiopulos, N., Westerhof, B., and Westerhof, N. Total arterial inertance as the fourth element of the windkessel model. Am. J. Physiol., 1999, 276, H81-H88.
10. Burattini, R. and Gnudi, G. Computer identification of models for the arterial tree input impedance: comparison between two new simple models and first experimental results. Med. and Biol. Engng and Comput., 1982, 20, 134-144.
11. Lambermont, B., Gerard, P., Detry, O., Kolb, P., Potty, P., Defraigue, J. O., D'Orio, V., and Marcelle, R. Comparison between three- and four-element Windkessel models to characterize vascular properties of pulmonary circulation. Arch. Physiol. Biochem., 1997, 150, 625-632.
12. Rietzschel, E. R., De Buyzere, M. L., Bekaert, S., Segers, P., De Bacquer, D., Cooman, L., Van Danune, P., Cassiman, P., Langlois, M., and van Oostveldt, P. Rationale, design, methods and base-line characteristics of the Asklepios study. Eur J. Cardiovascular Prev. and Rehabil., 2007, 14(2), 179-191.
13. Segers, P., Rietzschel, E., Heireman, S., De Buyzere, M., Gillebert, T., Verdonck, P., and Van Bortel, L. Carotid tonometry versus synthesized aorta pressure waves for the estimation of central systolic blood pressure and augmentation index. Am. J. Hypertension, 2005, 18(9, Pt 1), 1168-1173.
14. Mitchell, G. F., Tardif, J. C., Arnold, J. M., Marchlori, G., O'Brien, T. X., Dunlap, M. E., and Pfeffer, M. A. Pulsatile hemodynamics in congestive heart failure. Hypertension, 2001, 38(6), 1433-1439.
15. Stergiopulos, N., Segers, P., and Westerhof, N. Use of pulse pressure method for estimating total arterial compliance in vivo. Am. J. Physiol., 1999, 276, H424-H428.
16. Westerhof, N., Sipkema, P., Van Den Bos, G., and Elzinga, G. Forward and backward.waves in the arterial system. Cardiovascular Res., 1972, 6, 648-656.
17. Landaw, E. and DiStefano Jr, J. J. Multiexponential, multicompartmental, and noncompartmental modeling. II. Data analysis and statistical considerations Am. J. Physiol. - Regulatory, Integrative and Comparative Physiol., 1984, 246, 665-677.
18. Burattini, R. Estimation of arterial compliance in small size animal by four-element windkessel models of aortic input impedance. J. Biomechanics, 2006, 39(suppl. 1), S287 (abstract).
19. Segers, P., Verdonck, P., Deryck, Y., Brimioulle, S., Naeije, R., Carlier, S., and Stergiopulos, N. Pulse pressure method and the area method for the estimation of total arterial compliance in dogs: sensitivity to wave reflection intensity. Ann. Biomed. Engng, 1999, 27, 480-485.
20. Newman, D., Sipkema, P., Greenwald, S., and Westerhof, N. High frequency characteristics of the arterial system. J. Biomechanics, 1986, 19(10), 817-824.
21. Murgo, J. P., Westerhof, N., Glohna, J. P., and Altobelli, S. A. Aortic input impedance in normal man: relationship to pressure wave forms. Circulation, 1980, 62(1), 105-116.
22. Karamanoglu, M. and Fenely, M. Derivation of the ascending aorta-carotid pressure transfer function with an arterial model. Am. J. Physiol., 1996, 271, H2399-H2404.
23. Chen, C. H., Ting, C.T., Nussbacher, A., Nevo, E., Kus, D., Pak, P., Wang S. P., Chang, M. S., and Yin, F. C. P. Validation of carotid artery tonometry as a means of estimating augmentation index of ascending aortic pressure. Circulation, 1996, 27, 168-175.
24. Wang, J. I., O'Brien, A. B., Shrive, N. G., Parker, K. H., and Tyberg, J. V. Time-domain representation of ventricular-arterial coupling as a windkessel and wave system. Am. J. Physiol. - Heart and Circ. Physiol., 2003, 284(4), H1358-H1368.
25. Segers, P., Rietzschel, E. R., De Buyzere, M. L., Vermeersch, S. J., De Bacquer, D., Van Bortel, L. M., De Backer, G., Gillebert, T. C., and Verdonck, P. R. Noninvasive (input) impedance, pulse wave velocity, and wave reflection in healthy middle-aged men and women. Hypertension, 2007, 49(6), 1248-1255.