Control of the Left Ventricular Assist Devices for Heart
Patients
Collaborators
Dr. Marwan A. Simaan (Pitt-UCF)
Dr. James F. Antaki (Pitt-CMU-Cornell))
Dr. J. Robert Boston (Pitt)
Dr. Robert L. Kormos (UPMC)
Dr. Timothy M. Maul (Nemours)
DR. Peter D. Wearden (Nemours)
Dr. Eduardo Divo (UCF)
Graduate Students: Y-C, Yu (Pitt), L. A. Baloa
(Pitt), S. Chen (Pitt),
A. Ferreira (Pitt), D. G. Galati (Pitt), N. V. Zorn (Pitt), Y. Wang
(UCF),
G. Faragallah (UCF), V. Vasudevan (UCF)
Heart Patient with an LVAD |
Bearings ( |
Pediatric LVAD |
Diagram of an LVAD in the
Cardiovascular System |
Combined Model of Left Ventricle and Rotary Pump |
Rotary Pump Connected to Heart |
Project Summary
Heart transplant candidates often
wait long periods (300 days or more on the average) before a suitable donor
heart becomes available, and many of these candidate die while awaiting heart
transplantation. Consequently, the medical community has been placing increased
emphasis on the use of mechanical devices that can substitute for, or enhance,
the function of the natural heart. A Left Ventricular Assist Device
(LVAD) is such a device. This device if often used as a bridge to
mechanically support a patient while awaiting heart transplantation, or while
their natural heart recovers. But the ultimate use of this device is as a
long-term “cure” for heart failure. In either case, the goal of the LVAD
is to provide the patient with as close to a normal lifestyle as
possible. The goal for all concerned is to allow patients to return home
and/or to the workforce.
An important challenge facing the
increased use of LVADs is the development of an appropriate feedback controller
for these devices. The latest generation LVADs is build using turbo-dynamic
rotary pumps which require a controller that can adjust the speed of the rotor
(pump impeller) to meet the circulatory demand of the patient. Therefore,
in addition to being robust and reliable, an LVAD controller should be able to
adapt to the daily activities and the physiological changes of the
patient. In this project we are investigating the theoretical and
fundamental issues associated with the development of such a controller.
More specifically, we will continue our ongoing work on the development of a
generalized nonlinear dynamic model for the left ventricle of the heart
assisted by a rotary LVAD which together collaborate in pumping blood into the
circulatory system. This bio-mechanical
model will serve as a simulation platform for understanding the complex
interaction between a biological system (the left ventricle of the heart) and a
mechanical system (the LVAD). Our
ultimate goal is the development of a robust optimal feedback control algorithm
for the LVAD that provides the flexibility needed to incorporate various sensor
inputs as available. The principal functions of this feedback controller will
be: (1) to determine and maintain appropriate cardiac output, subject to
constraints imposed by the device and the patient’s condition, including
avoiding ventricular suction; (2) to identify system variables and parameters
to monitor the patient's condition, indicating when the patient's
cardiovascular status is improving or deteriorating and detecting component
failures; (3) to recognize different operating conditions and data
environments, responding to changes in the signals available for measurement
from the patient and the assist device; (4) to monitor the control strategy
(algorithm) itself to avoid uncontrollable situations and inappropriate or
dangerous control actions; and (5) to provide a fail-safe mode of operation by
entering a preset open-loop operating mode when a hardware or algorithmic
failure occurs.
The primary intellectual merit of
our research is to increase our understanding of fundamental technical issues
related to non-conventional complex systems, such as the left ventricle-LVAD
system, which involve both electromechanical as well as physiological
components. A truly interdisciplinary approach, with expertise from the
electrical, mechanical, and biomedical engineering fields as well as the
medical profession, is needed to develop the mathematical framework needed to
be able to effectively control such a complex system.
The broader impact of our
research will primarily be in improving the quality of life for heart patients
awaiting heart transplantation. Any improvement in the existing
technology of the left ventricular assist devices will have a tremendous effect
on the physical condition and ultimately the recovery of patients suffering
from congestive heart failure. It is hoped that this study, leading
to the development of a patient adaptive feedback controller, will provide an
opportunity for these patients to leave the hospital, return home, and re-enter
the workforce while either awaiting for a donor heart
(bridge-to-transplantation), keeping the LVAD permanently
(destination-therapy), or hoping that their hearts recover and the LVAD
ultimately removed (bridge-to-recovery). Another important impact
of this project is the training of graduate and undergraduate engineering
students from various disciplines to work together as a team in this highly
interdisciplinary field.
Related Recent Publications
V.S.
Vasudevan, M.A. Simaan, T.M. Maul, and P.D. Wearden, “Aortic
Valve Ejection Fraction For Monitoring Heart Contractility in Patients
Supported with a Continuous Flow Left Ventricular Assist Device,” American
Journal of Cardiovascular and Thoracic Surgery, Volume 4, Issue 2, 2019 (View)
V.S. Vasudevan and M.A. Simaan,
“A Modified Definition of Ejection Fraction for Continuous Flow Left
ventricular Devices as a Determinant for Heart Recovery,” Proc. of the 2018 American
Society for Artificial Internal Organs (ASAIO) 64th Annual
Conference, Washington, DC, June
13-16, 2018, p. 29
V.S. Vasudevan and M.A. Simaan,
“Cardiac Function Recovery Using Ejection Fraction in the Presence of a
Continuous Flow Left Ventricular Assist Device,” Proc. of the 2018 IEEE EMBS
International Conference on Biomedical & Health Informatics (BHI), Las Vegas, NV, March 4-7, 2018,
pp. 311-314
V.S. Vasudevan and M.A. Simaan,
“A System of Systems Approach to Patient Treatment with the Left Ventricular
Assist Device,” Proc. of the 12th Annual System of Systems
Conference, June 18-21, 2017,
Waikoloa, HI
V.S. Vasudevan, Y. Wang, and M.A. Simaan,
“Aortic Valve Dynamics and Blood Flow Control in Continuous Flow Left
Ventricular Assist Devices,” Proc. of the 2017 American Control Conference, Seattle, WA, May 24-26, 2017,
pp.1456-1461
M. A. Simaan, G. Faragallah, and Y.
Wang, “Power Control Range of Operation for the Left Ventricular
Assist Device in Bridge-to-Recovery Treatment,” Extended Abstract, World
Congress on Medical Physics and Biomedical Engineering, Toronto, Canada,
June 7-12, 2015
Y. Wang, G. Faragallah, and M. A.
Simaan, “Detecting of Aortic Valve Dynamics in Bridge-to-Recovery
Feedback Control of the Left Ventricular Assist Device,” Proc. of the 13th
European Control Conference,
Strasbourg, France, June 24-27, 2014, pp. 140-145
Y. Wang, and M.A.
Simaan, “A New Method for Detecting Aortic Valve Dynamics during
Control of the Rotary Left Ventricular Assist Device Support,” Proc. of the
2014 American Control Conference, Portland,
OR, June 4-6, 2014, pp. 5483-5488
G. Faragallah and M.A. Simaan, “An
Engineering Analysis of the Aortic Valve Dynamics in Patients with Left
Ventricular Assist Devices,” Journal of healthcare Engineering, Vol. 4,
No. 3, September 2013, pp. 307-327
Y. Wang, and M. A. Simaan, “A
Suction Detection System for Rotary Blood Pumps Based on Lagrangian
Support Vector Machine Algorithm,” IEEE Journal of Biomedical and Health Informatics, Vol. 17, No. 3, May 2013, pp. 654-663
G. Faragallah, Y. Wang, E. Divo and
M. A. Simaan, “A New Control System for Left Ventricular Assist Devices
Based on Patient-Specific Physiological Demand,” Inverse problems in Science
and Engineering, Taylor and
Francis, Vol. 20, No. 5, July 2012, pp. 721-734
Y. Wang, G. Faragallah, E. Divo,
and M.A. Simaan,
“Feedback Control of a Rotary Left Ventricular Assist Device Supporting a
Failing Cardiovascular System,” Proc. of the 2012 American Control
Conference, Montreal, Canada,
June 27-29, 2012, pp. 1137-1142
M. A. Simaan, G. Faragallah and Y.
Wang and E. Divo, “Left Ventricular Assist Devices: Engineering Design
Considerations,” Chapter 2 in Guillermo Reyes, Editor, Ventricular Assist
Device, Intech Publishers, 2011, pp. 21-42
G. Faragallah, E. Divo, and M.A. Simaan, “A
Feedback Controller Based on the Estimation of the Systemic Vascular Resistance
of Left Ventricular Assist Devices Patients,” Abstracts of the 19th
Congress of the International Society for Rotary Blood Pumps, Louiville, KY, September 8-10, 2011
G. Faragallah, Y. Wang, E. Divo,
and M.A. Simaan,
“The Aortic Valve Dynamics Role in the Recovery Treatments of Patients with
Left Ventricular Assist Devices,” Proc. of the 2011 IEEE Engineering in
Medicine and Biology Conference, Boston, MA, USA on August 30 - September
3, 2011, pp. 1339-1342
Y. Wang, G. Faragallah, E. Divo,
and M.A. Simaan,
“Detection of Ventricular Suction in an
Implantable Rotary Blood Pumps Using Support Vector Machines” Proc.
of the 2011 IEEE Engineering in Medicine and Biology Conference, Boston,
MA, USA on August 30 - September 3, 2011, pp. 3318-3321
G. Faragallah, Y. Wang, E. Divo,
and M.A. Simaan,
“A New Current-Based Control Model of the Combined cardiovascular and Rotary
Left ventricular Assist Device,” Proc. of the 2011 American Control
Conference, San Francisco, CA,
June 29-July 1, 2011, pp. 4776-4780
G. Faragallah, Y. Wang, E. Divo,
and M.A. Simaan, “Determination of the Optimal LVAD Pump Speed Range in
Bridge to Recovery Treatment” Abstracts
of the 57th Annual Conference of the American Society for Artificial
Internal Organs (ASAIO), Washington, DC, June 10-12, 2011. ASIAO Journal, Vol. 57, No. 2, March-April
2011, p. 97
Y. Wang, G. Faragallah, E. Divo,
and M.A. Simaan, “Detection of
Suction for Rotary Blood Pumps Using Support Vector Machines” Abstracts
of the 57th Annual Conference of the American Society for Artificial
Internal Organs (ASAIO), Washington, DC, June 10-12, 2011. ASIAO Journal, Vol. 57, No. 2,
March-April 2011, p. 102
G. Faragallah, Y. Wang, E. Divo,
and M.A. Simaan,
“A New Control System for Left Ventricular Assist Devices Based on the
Psychological Demand of the Patient,” Proc. of the 7th
International Conference on Inverse Problems in Engineering, Orlando, FL,
May 4-6, 2011, pp. 250-255
I.
Sahin, N. Yilmazer and M.
A. Simaan,
"A Method for Sub-Optimal Fetal Heart Rate Estimation Under Noisy
Conditions," IEEE Transactions on Biomedical Engineering, Vol. 57,
No. 4, April 2010, pp. 703-883.
M.
A. Simaan,
“Modeling and Control of Rotary Left Ventricular Assist Devices,” Handbook
of Automation, Ed. S. Nof, Springer Verlag, 2009, pp. 1409-1422.
M. A. Simaan,
A. Ferreira, S. Chen, J.F. Antaki, and D.G. Galati, “A
Dynamical State Space Representation and Performance Analysis of a
Feedback-Controlled Rotary Left
Ventricular Assist Device,” IEEE Transactions on Control Systems
Technology, Vol. 17, No. 1, January 2009, pp. 15-28
M.A.
Simaan,
“Modeling and Control of the Heart Left Ventricle Supported with a Rotary
Assist Device,” Proc. of the 47th IEEE Conference on Decision and
Control, Cancun, Mexico, December
9-12, 2008, pp. 2656-2661
M. A.
Simaan
and J. F. Antaki, “Progress
with Extremum-Seeking Feedback Controller for a Rotary Blood Pump” Abstracts
of the 54th Conference of the American Society for Artificial
Internal Organs (ASAIO), San Francisco, CA, June 19 - 21, 2008.
Y-C. Yu,
M. A. Simaan, S. Mushi, and N.V. Zorn,
“Performance Prediction Of A Percutaneous Ventricular
Assist System Using Nonlinear Circuit Analysis Techniques,” IEEE
Transactions on Biomedical Engineering, Vol. 55, No. 2, 2008, pp. 419-429
Y-C Yu, M.
A. Simaan, N. V. Zorn, and S. Mushi, “A
Nonlinear Model for Flow Estimation and Control in a Percutaneous Heart Assist
System,” Proc. of the 2007 American Control Conference, New York, NY, July 11-13, 2007, pp.
2018-2023.
S. Chen,
A. Ferreira, M.A. Simaan, J. R. Boston, and J. F. Antaki, “Feedback
Control of an LVAD Supporting a Failing Cardiovascular System Regulated by the
Baroreflex,” Proc. of the 45th IEEE Conference on Decision and
Control, San Diego, CA, December
13-15, 2006, pp.655-660.
A. Ferreira, S. Chen, M.A.
Simaan, J. R. Boston, and J. F. Antaki, “A
Discriminant-Analysis-Based Suction Detection System for Rotary Blood Pumps”, Proc.
of the 28th IEEE Annual International Conference of Engineering in Medicine and
Biology , August 30 - September 3, 2006 in New York, NY, 2006, pp.
5382-5385
P.D. Wearden, V.O. Morell, B.B.
Keller, S.A. Webber, H.S. Borovetz, S. F. Badylak, J.R. Boston, R.L. Kormos,
M.V. Kameneva, M.A. Simaan, T.A. Snyder, H. Tsukui, W.R. Wagner, J.F. Antaki,
C. Diao, S. Vandenberghe,
J, Gardiner, C.M. Li, D. Noh, D. Paden, B. Paden, J. Wu, G.B. Bearnson, G. Jacobs, J. Kirk, P. Khanwilkar,
J.W. Long, S. Miles, J.A. Hawkins, P.C. Kouretas, and R.E. Shaddy,
“The
PediaFlowTM Pediatric Ventricular Assist
Device,” Seminars in Thoracic and Cardiovascular Surgery: Pediatric Cardiac
Surgery Annual, Vol. 9, No. 1, 2006, pp. 92-98
S. Chen, A. Ferreira, M. A.
Simaan, and J. F. Antaki, “A
Mathematical Model of a Cardiovascular System Regulated by the Baroreflex,” Proc.
of the 2006 American Control Conference, Minneapolis, MN, June
14-17, 2006, pp. 701-706.
H.S. Borovetz,
S. Badylak, J.R. Boston, C. Johnson, R. Kormos, M.V. Kameneva, M. A.
Simaan, T.A. Snyder, H. Tsukui, W. R. Wagner, J.
Woolley, J. Antaki, C. Diao,
S. Vandenberghe, B. Keller, V. Morell, P. Wearden, S.
Webber, J. Gardiner, C.M. Li, D. Paden, B. Paden, S. Snyder, J. Wu, G. Bearnson, J.A. Hawkins, G. Jacobs, J. Kirk, P. Khanwilkar, P. C. Kouretas, J. Long, and R.E. Shaddy, "Towards the Development of a Pediatric
Ventricular Assist Device," Cell Transplantation, Vol. 15, pp.
S69-S74, 2006
A. Ferreira, M. A. Simaan,
J.R. Boston, and J. F. Antaki, “Frequency
and Time-Frequency Based Indices for Suction Detection in Rotary Blood Pumps,” Proc.
of the 2006 IEEE International Conference on Acoustics Speech
and Signal Processing, Toulouse, France, May 14-19, 2006, Vol. II,
pp.1064-1067
K-W. Gwak,
M. Ricci, S. Snyder, B.E. Paden, J.R. Boston, M. A. Simaan, and J.F. Antaki, "In Vitro Evaluation of Multiobjective Hemodynamic Control of a Heart-Assist Pump,”
The American Society for Artificial Internal Organs(ASAIO) Journal, Vol.
51, No. 4, 2005, pp. 329-335.
A. Ferreira, M. A. Simaan,
J.R. Boston, and J. F. Antaki, “A
Nonlinear State Space Model of a Combined Cardiovascular System and a Rotary
Pump,” Proc. of the 44th IEEE Conference on Decision and Control
and European Control Conference, Seville, Spain, Dec. 12-15, 2005,
pp. 897-902
A.
Ferreira, S. Chen, D.G. Galati, M. A. Simaan, and J. F. Antaki, “A Dynamical State Space Representation of a
Feedback Controlled Rotary Left Ventricular Assist Device,” Proc. of the
2005 ASME International Mechanical Engineering Congress, Orlando,
FL, November 5-11, 2005, Paper IMECE2005-80973
Y-C Yu, M. A. Simaan, N. V. Zorn,
and S. Mushi, “Model-based Prediction of a
Percutaneous Ventricular Assist Device Performance,” Proc. of the
2005 American Control Conference, Portland, OR, June 8-10, 2005, pp.
3835-3840.
S.
Chen, J. F. Antaki, M. A. Simaan, and J. R. Boston, “Physiological
Control of Left ventricular Assist Devices Based on Gradient of Flow,” Proc.
of the 2005 American Control Conference, Portland, OR, June 8-10,
2005, pp. 3829-3834.
K-W Gwak,
M. Ricci, S. Snyder, B. E. Paden, J. R. Boston, M. A. Simaan, and J.F. Antaki, “In-Vitro Evaluation of Multi-Objective
Hemodynamic Control of a Heart-Assist Pump,” The American Society for
Artificial Internal Organs (ASAIO) Journal, Vol. 51, No. 4, 2005, pp.
329-335.
J. Wu, J.F. Antaki,
H.S. Borovetz, J. R. Boston, C. Diao,
J.A. Hawkins, J. Gardiner, G. Jacobs, M.V. Kameneva,
B.B. Keller, P. Khanwilkar, J. Kirk, R. L. Kormos, J. W. Long, C.M. Li, S. Miles, V. Morell, E. Prem,
B.E. Paden, D. Paden, R. E. Shaddy, M. A. Simaan, T.
A. Snyder, H. Tsukui, S. Vandeberghe,
W. R. Wagner, and S. A. Webber, , “Progress with Pediaflow Maglev Pump for Infants and Small Childern: Form to Function,” Abstracts of the 51th
Anniversary Conference of the American Society for Artificial Internal Organs,
Washington, DC, June 7-9, 2005.
H.
Borovetz, S. Badylak, J.R.
Boston, R. Kormos, M. Kameneva,
M. A. Simaan, T. Snyder, H. Tsukui, W. Wagner, J.F. Antaki, C. Diao, S. Vandeberghe, B. Keller, V. Morell, S. Weber, J. Gardiner,
C.M. Li, D. Paden, B. Paden, J. Wu, G. Bearneson, J.
Hawkins, G. Jacobs, J. Kirk, P. Khanwilkar, J. Long,
S. Miles, and R. Shaddy, "The
Pediatric ventricular Assist Device (Pediaflow),"
Abstracts of the First International Conference on Pediatric Mechanical
Circulatory Support Systems and Pediatric Cardiopulmonary Perfusion,
Hershey, PA, May 19-22, 2005, p. 48
B.
Uber, L.C. Santelices, B. Keller, S. Webber, V.
Morell, R.L. Kormos, H.S. Borovetz,
M.A. Simaan and J.F, Antaki, "Systematic
Decision Support for Optimal Management of PVAD Patients”" Abstracts of
the First International Conference on Pediatric Mechanical Circulatory Support
Systems and Pediatric Cardiopulmonary Perfusion, Hershey, PA, May 19-22,
2005, p. 68
S. Mushi,
Y-C. Yu, M. A Simaan, and N. V. Zorn, “Flow Rate Prediction of a
Percutaneous Ventricular Assist Device using Nonlinear Circuit Analysis,” Proc.
of the 31st Annual NorthEast BioEngineering Conference, Hoboken, NJ, April 2-3,
2005, pp. 61-62
K-W Gwak,
M. Ricci, S. Snyder, B. E. Paden, J. R. Boston, M. A. Simaan, and J. F. Antaki, “In-Vitro Evaluation of Multi-Objective
Hemodynamic Control of a Heart-Assist Pump,” Proc. of the 43rd
IEEE Conference on Decision and Control, Paradise Island, Bahamas,
Dec. 14-17, 2004, pp. 1069-1074.
M. Y. Tabaksblat,
A. Z. Hunsberger, M. A. Simaan, R.L. Kormos, J. Gorcsan, S. G. Shroff, and J. F. Antaki,
“Towards
the Development of a Computer Simulator for Left Ventricular Recovery” Abstracts
of the 50th Anniversary Conference of the American Society for
Artificial Internal Organs, Washington, DC, June 17-19, 2004, ASIAO
Journal, Vol. 50, No. 2, March-April 2004, p. 139.
L. C. Santelices,
J. F. Antaki, M. A. Dew, M. B. Holm, M. A. Mathier, M. A. Simaan, K. Desai, and R. L. Kormos, “Mobile Decision Support System For
Management of LVAD Patients” Abstracts of the 50th Anniversary
Conference of the American Society for Artificial Internal Organs,
Washington, DC, June 17-19, 2004, ASIAO Journal, Vol. 50, No. 2,
March-April 2004, p. 121.
J. R. Boston, J. F. Antaki, and M. A. Simaan, "Hierarchical
Control for Hearts Assist Devices," IEEE Robotics and Automation
Magazine, Vol. 10, No.1, March 2003, pp. 54-64.
J. F. Antaki,
J. R. Boston and M. A. Simaan, “Control of Heart Assist
Devices,” Proc. of the IEEE Conference on Decision and Control, Maui,
HI, December 9-12, 2003, pp. 4084-4089.
L. A. Baloa,
J. R. Boston, M. A. Simaan, and J. F. Antaki, “Performance
of an Extended Certainty Weighted Detection Model,” IEEE Transactions on Systems, Man, and Cybernetics, Part A:
Systems and Humans, Vol. 33, No. 1, January 2003, pp. 12-22.
Y-C. Yu and M. A. Simaan,
“Performance Prediction of a Percutaneous Ventricular Assist System – A
Nonlinear Circuit Analysis,” Proc. of the 28th Annual Northeast
Bioengineering Conference, Philadelphia, PA, April 20-21, 2002, pp.19-20.
Y-C. Yu, J. R. Boston, M. A.
Simaan,
and J. F. Antaki, "Minimally Invasive
Estimation of Systemic Vascular Parameters for Artificial Heart Control,” Control
Engineering Practice, Vol. 10, March 2002, pp. 277-285.
L. Baloa,
J. R. Boston, M. A. Simaan, and J. F. Antaki, “A
Certainty-Weighted Decision Model for the Detection of Suction in VADs,” Proc.
of the IEEE Conference on Control Applications and International Symposium on
Intelligent Control, Mexico City, Mexico, September 5-7, 2001, pp. 696-701.
J. F. Antaki,
Z. Wu, D. Liu, M. A. Simaan, and J. R. Boston, “A Multi-Objective
Control Algorithm for Turbodynamic Blood Pumps,” Abstracts
of the 9th Congress of the International Society for Rotary Blood Pumps,
Seattle, Washington, August 17-20, 2001, pp A6.
Y-C. Yu, J.R. Boston, M. A.
Simaan,
and J.F. Antaki, "Minimally Invasive
Estimation of Systemic Vascular Parameters,” Annals of Biomedical
Engineering, Vol. 29, No. 7, July 2001, pp. 595-606.
Y-C. Yu, J. R. Boston, M. A.
Simaan, P. J. Miller, and J. F. Antaki,
"Pressure-Volume Relationship of a Pulsatile Blood Pump for Ventricular
Assist Device Development,” The American Society for Artificial Internal
Organs Journal, Vol. 47, No. 3, May-June 2001, pp. 293-301
Y-C. Yu, J. R.
Boston, M. A. Simaan, and J. F. Antaki, “Minimally
Invasive Identification of Ventricular Recovery Index for Weaning Patients from
Artificial Heart Support,” Proc. of the IEEE Conference on Decision and
Control, Sydney, Australia, December 12-15, 2000, pp. 1799-1803.
D. Liu, J. R. Boston, M. A.
Simaan, and J. F. Antaki, “Multi-Objective
Optimal Control of a Heart Assist Device,” Proc. of the IEEE Conference on
Decision and Control, Sydney, Australia, December 12-15, 2000, 4857-4858.
J. R. Boston, J. F. Antaki, and M. Simaan, "Hierarchical
Control for Artificial Hearts," Proc. of the IEEE International
Conference on Bio-Informatics and Biomedical Engineering, Arlington, VA,
November 8-10, 2000, pp. 376-383.
J. R. Boston, L. Baloa, Dehou Liu, M. A. Simaan,
S. Choi, and J. F. Antaki, “Combination
of Data Approaches to Heuristic Control and Fault Detection,” Proc. of the
IEEE Conference on Control Applications and International Symposium on
Computer-Aided Control Systems Design, Anchorage, AK, September
25-27, 2000, pp. 98-103
Y-C. Yu, J. R. Boston, M. A.
Simaan, P.J. Miller, and J.F. Antaki,
"Modeling and Simulation of a Blood Pump for the Development of a Left
Ventricular Assist System Controller,” Kybernetika
,
Vol.
35, No. 6, October 1999, pp. 651-664.
Y-C. Yu, J. R. Boston, M. A.
Simaan, and J. F. Antaki,
"Estimation of Systemic Vascular Bed Parameters for Artificial Heart
Control," IEEE Transactions on Automatic Control,
Vol.
43, No. 6, June 1998, pp. 765-778.