Previous |  Up |  Next


Title: Modeling and simulation of a blood pump for the development of a left ventricular assist system controller (English)
Author: Yu, Yih-Choung
Author: Boston, J. Robert
Author: Simaan, Marwan A.
Author: Miller, Phil J.
Author: Antaki, James F.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 35
Issue: 5
Year: 1999
Pages: [651]-664
Summary lang: English
Category: math
Summary: A mathematical model describing the pressure-volume relationship of the Novacor left ventricular assist system (LVAS) was developed. The model consisted of lumped resistance, capacitance, and inductance elements with one time-varying capacitor to simulate the cyclical pressure generation of the system. The ejection and filling portions of the pump cycle were modeled with two separate functions. The corresponding model parameters were estimated by least squares fit to experimental data obtained in the laboratory. The model performed well at simulating pump pressure of operation throughout the full cycle. Computer simulation of the pump with a cardiovascular model demonstrated the interaction between the LVAS and the cardiovascular system. This model can be used to incorporate on-line cardiovascular parameter estimation and to design a new controller for the LVAS. (English)
Keyword: mathematical modeling
Keyword: left ventricular assist system
Keyword: time-varying capacitor
Keyword: cardiovascular model
Keyword: pressure-volume relationship
Keyword: pump cycle
Keyword: blood pump
MSC: 92C50
MSC: 93A30
idZBL: Zbl 1274.93027
Date available: 2009-09-24T19:28:41Z
Last updated: 2015-03-27
Stable URL:
Reference: [1] Co., Baxter Healthcare, Division, Novacor: Novacor N100 Left Ventricular Assist System Operator’s Manual.Corporation Internal Manual (Unpublished), 1991
Reference: [2] Breitenstein D. S.: Cardiovascular Modeling: The Mathematical Expression of Blood Circulation.M.S. Thesis, Univeristy of Pittsburgh, 1993
Reference: [3] Devore J. L.: Probability and Statistics for Engineering and Sciences.Third edition. Brooks/Cole Publishing Company, Pacific Grove, 1991, pp. 466–468
Reference: [4] Franklin G. F., Powell J. D., Emami–Naeini, Abbas: Feedback Control of Dynamic Systems.Addison–Wesley, New York 1988, pp. 49–68
Reference: [5] Hogness J. R., Antwerp M. Van, eds.: The Artificial Heart: Prototypes, Policies, and Patients.National Academy Press, Washington 1991
Reference: [6] Lewis F. L.: Optimal Control.Wiley, New York 1986, pp. 345–346 MR 0833285
Reference: [7] More J. J.: The Levenburg–Marquardt algorithm: Implementation and theory.Numerical analysis (G. A. Watson ed., Lecture Notes in Mathematics 630). Springer–Verlag, Berlin pp. 269–312 MR 0483445
Reference: [8] Oppenheim A. V., Schafer R. W.: Discrete–Time Signal Processing.Prentice-Hall, Englewood Cliffs, NJ 1989, pp. 203–204 Zbl 0676.42001
Reference: [9] Portner P. M., LaForge D. H., Oyer P. E., Greene G. F., Jassawalla J. S., Ream A. K., Miller P. J., Shumway N. E., Chen H.: An alternative in end–stage heart disease: Long–term ventricular assistance.Heart Transplantation 3 (1983), 47–59
Reference: [10] Spyker D. A.: Simulation in the analysis and control of a cardio–circulatory assist device.Simulation 15 (1970), 196–205 10.1177/003754977001500503
Reference: [11] Unger F., ed.: Assisted Circulation 2.Springer, New York 1984, pp. 115–141
Reference: [12] Williams J. L.: Load–sensitive Mock Circulatory System for Left Ventricular Assist Device Controller Development and Evaluation.M.S. Thesis, University of Pittsburgh, 1995
Reference: [13] Yu Y.–C., Antaki J. F., Boston J. R., Simaan M., Miller P. J.: Mathematical model of pulsatile blood pump for LVAS control.In: Proc. of American Control Conf., Albuquerque 1997, vol. 6, pp. 3709–3713
Reference: [14] Yu Y.–C., Boston J. R., Simaan M., Antaki J. F.: Identification scheme for cardiovascular parameter estimation.In: Preprints of IFAC 13th World Congress, San Francisco 1996, vol. B, pp. 417–422
Reference: [15] Yu Y.–C., Boston J. R., Simaan M., Antaki J. F.: Estimation of systemic vascular bed parameters for artificial heart control.IEEE Trans. Automat. Control 43 (1998), 765–778 10.1109/9.679017


Files Size Format View
Kybernetika_35-1999-5_7.pdf 1.918Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo