Research on Biomedical Engineering
Research on Biomedical Engineering
Original article

Characterization of a pediatric rotary blood pump

Thamiles Rodrigues de Melo, Felipe José de Sousa Vasconcelos, Luiz Henrique Ramalho Diniz Ribeiro, Simão Bacht, Idágene Aparecida Cestari, José Sérgio da Rocha Neto, Antonio Marcus Nogueira Lima.

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Introduction: A ventricular assist device (VAD) is an electromechanical pump used to treat heart failures. For designing the physiological control system for a VAD, one needs a mathematical model and its related parameters. This paper presents a characterization procedure for determining the model parameter values of the electrical, mechanical,
and hydraulic subsystems of a pediatric Rotary Blood Pump (pRBP). Methods: An in vitro test setup consisting of a pRBP prototype, a motor driver module, an acrylic reservoir, mechanical resistance and tubings, pressure and fluid flow sensors, and data acquisition, processing, and visualization system. The proposed procedure requires a set of experimental tests, and a parameter estimation algorithm for determining the model parameters values. Results: The operating limits of the pRBP were identified from the steady-state data. The relationship between the pressure head, flow rate, and the rotational speed of the pRBP was found from the static tests. For the electrical and mechanical subsystems, the dc motor model has a viscous friction coefficient that varies nonlinearly with the flow. For the hydraulic subsystem, the pressure head is assumed to be a sum of terms related to the resistance, the inertance, the friction coefficient, and the pump speed. Conclusion: The proposed methodology was successfully applied to the characterization of the pRBP. The combined use of static and dynamic tests provided a precise lumped parameter model for representing the pRBP dynamics. The agreement, regarding mean squared deviation, between experimental and simulated results demonstrates the correctness and feasibility of the characterization procedure.


Rotary blood pump, Ventricular assist device, Centrifugal flow pump, Lumped parameter model, System identification.


Åström KJ, Wittenmark B. Adaptive control. 2nd ed. Boston: Addison-Wesley Longman Publishing Co., Inc.; 1994.

Capoccia M. Development and characterization of the arterial windkessel and its role during left ventricular assist device assistance. Artif Organs. 2015; 39(8):E138-53. PMid:26147912.
Chen H. Extended recursive least squares algorithm for nonlinear stochastic systems. In: Proceedings of the American Control Conference; 2004 June 30-July 2; Boston, Massachusetts, USA. USA: IEEE Control Systems Society; 2004. p. 4758-63.
Choi S, Boston JR, Thomas D, Antaki JF. Modeling and identification of an axial flow blood pump. In: Proceedings of the 1997 American Control Conference (Cat. No.97CH36041); 1997 Jun 6-6; Albuquerque, New Mexico, USA. USA: IEEE Control Systems Society; 1997. p. 3714–5.
Edwards Lifesciences Corporation. Truwave disposable pressure transducer [Internet]. Irvine: USA Edwards Lifesciences LLC; 2018. [cited 2018 June 16]. Available from:
Ganushchak Y, van Marken Lichtenbelt W, van der Nagel T, de Jong DS. Hydrodynamic performance and heat generation by centrifugal pumps. Perfusion. 2006; 21(6):373-9. PMid:17312862.
Germany em-tec GmbH. Experts in non-invasive flow measurement [Internet] [cited 2018 June 16]. Berlin: Germany em-tec GmbH; 2018. Available from:
Jahanmir S, Hunsberger AZ, Heshmat H, Tomaszewski MJ, Walton JF, Weiss WJ, Lukic B, Pae WE, Zapanta CM, Khalapyan TZ. Performance characterization of a rotary centrifugal left ventricular assist device with magnetic suspension. Artif Organs. 2008; 32(5):366-75. PMid:18471166.
Lim E, Cloherty SL, Reizes JA, Mason DG, Salamonsen RF, Karantonis DM, et al. A dynamic lumped parameter model of the left ventricular assisted circulation. In: Proceedings of the 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society; 2007 Aug 22-26; Cité Internationale, Lyon, France. USA: IEEE Engineering in Medicine and Biology Society; 2007. p. 3990-3. PMid: 18002874.
Ljung L. System identification: theory for the user. 2nd ed. New Jersey: Prentice Hall; 1987.
Lubin T, Mezani S, Rezzoug A. Experimental and theoretical analysis of axial magnetic coupling under steady-state and transient operation. IEEE Trans Ind Electron. 2014; 61(8):4356-65.
Moazami N, Fukamachi K, Kobayashi M, Smedira NG, Hoercher KJ, Massiello A, Lee S, Horvath DJ, Starling RC. Axial and centrifugal continuous-flow rotary pumps: A translation from pump mechanics to clinical practice. J Heart Lung Transplant. 2013; 32(1):1-11. PMid:23260699.
Moscato F, Danieli GA, Schima H. Dynamic modeling and identification of an axial flow ventricular assist device. Int J Artif Organs. 2009; 32(6):336-43. PMid:19670185.
Pennings KA, Martina JR, Rodermans BF, Lahpor JR, van de Vosse FN, de Mol BA, Rutten MC. Pump flow estimation from pressure head and power uptake for the Heartassist5, Heartmate II, and Heartware VADs. ASAIO J. 2013; 59(4):420-6. PMid:23820282.
Pérez CM. Bombas centrífugas como asistencia ventricular: estado actual. Cir Cardiov. 2009; 16(2):119-24.
Pirbodaghi T, Weber A, Carrel T, Vandenberghe S. Effect of pulsatility on the mathematical modeling of rotary blood pumps. Artif Organs. 2011; 35(8):825-32. PMid:21793862.
Pirbodaghi T. Mathematical modeling of rotary blood pumps in a pulsatile in vitro flow environment. Artif Organs. 2017; 41(8):710-6. PMid:28097669.
Santina M, Stubberud AR. Discrete-time equivalents of continuous-time systems. In: Levine WS, editor. The control handbook: control system fundamentals. Boca Raton: CRC Press; 2010. p. 12.1-12.34.
Shi Y, Lawford P, Hose R. Review of zero-D and 1-D models of blood flow in the cardiovascular system. Biomed Eng Online. 2011; 10(33):1-38. PMid:21521508.
Stanfield JR, Selzman CH, Pardyjak ER, Bamberg S. Flow characteristics of continuous-flow left ventricular assist devices in a novel open-loop system. ASAIO J. 2012; 58(6):590-6. PMid:22990285.
Stanfield JR, Selzman CH. In vitro pulsatility analysis of axial-flow and centrifugal-flow left ventricular assist devices. J Biomech Eng. 2013; 135(3):0345051-6. PMid:24231821.
Zhang XT, AlOmari AH, Savkin AV, Ayre PJ, Lim E, Salamonsen RF, et al. In vivo validation of pulsatile flow and differential pressure estimation models in a left ventricular assist device. In: Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology; 2010 31 Aug-4 Sept; Buenos Aires, Argentina. USA: IEEE Engineering in Medicine and Biology Society; 2010. p. 2517-20.

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