Modeling and simulation of a blood pump for the development of a left ventricular assist system controller

Yih-Choung Yu; J. Robert Boston; Marwan A. Simaan; Phil J. Miller; James F. Antaki

Kybernetika (1999)

  • Volume: 35, Issue: 5, page [651]-664
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Yu, Yih-Choung, et al. "Modeling and simulation of a blood pump for the development of a left ventricular assist system controller." Kybernetika 35.5 (1999): [651]-664. <http://eudml.org/doc/33451>.

@article{Yu1999,
abstract = {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.},
author = {Yu, Yih-Choung, Boston, J. Robert, Simaan, Marwan A., Miller, Phil J., Antaki, James F.},
journal = {Kybernetika},
keywords = {mathematical modeling; left ventricular assist system; time-varying capacitor; cardiovascular model; pressure-volume relationship; pump cycle; blood pump; mathematical modeling; left ventricular assist system; time-varying capacitor; cardiovascular model; pressure-volume relationship; pump cycle; blood pump},
language = {eng},
number = {5},
pages = {[651]-664},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Modeling and simulation of a blood pump for the development of a left ventricular assist system controller},
url = {http://eudml.org/doc/33451},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Yu, Yih-Choung
AU - Boston, J. Robert
AU - Simaan, Marwan A.
AU - Miller, Phil J.
AU - Antaki, James F.
TI - Modeling and simulation of a blood pump for the development of a left ventricular assist system controller
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 5
SP - [651]
EP - 664
AB - 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.
LA - eng
KW - mathematical modeling; left ventricular assist system; time-varying capacitor; cardiovascular model; pressure-volume relationship; pump cycle; blood pump; mathematical modeling; left ventricular assist system; time-varying capacitor; cardiovascular model; pressure-volume relationship; pump cycle; blood pump
UR - http://eudml.org/doc/33451
ER -

References

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  11. Unger F., ed., Assisted Circulation 2, Springer, New York 1984, pp. 115–141 (1984) 
  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 
  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 (1997) 
  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 (1996) 
  15. Yu Y.–C., Boston J. R., Simaan M., Antaki J. F., 10.1109/9.679017, IEEE Trans. Automat. Control 43 (1998), 765–778 (1998) DOI10.1109/9.679017

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