Numerical algorithms for subspace system identification (N4SID) are a powerful tool for generating the state space (SS) representation of any system. The purpose of this work was to use N4SID to generate SS models of the flowrate and pressure generation within an ex vivo vascular perfusion system (EVPS). Accurate SS models were generated and converted to transfer functions (TFs) to be used for proportional integral and derivative (PID) controller design. By prescribing the pressure and flowrate inputs to the pumping components within the EVPS and measuring the resulting pressure and flowrate in the system,_four TFs were estimated;_two for a flowrate controller ( and ) and two for a pressure controller ( and ). In each controller,_one TF represents a roller pump ( and ),_and the other represents a roller pump and piston in series ( and ). Experiments to generate the four TFs were repeated five times from which average TFs were calculated. The average model fits, computed as the percentage of the output variation (to_the_prescribed_inputs) reproduced by the model, were for , for , for , and for . The simulated step, impulse, and frequency responses indicate that the EVPS is a stable system and can respond to signals containing power of up to 70_Hz.
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e-mail: vorpda@upmc.edu
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April 2009
Research Papers
Design and Subspace System Identification of an Ex Vivo Vascular Perfusion System
Mohammed S. El-Kurdi, Ph.D.,
Mohammed S. El-Kurdi, Ph.D.
Department of Surgery, Division of Vascular Surgery,
University of Pittsburgh
, Suite 200, Bridgeside Point, Pittsburgh, PA 15219; Department of Bioengineering, University of Pittsburgh
, Pittsburgh, PA 15219; McGowan Institute for Regenerative Medicine, University of Pittsburgh
, 100 Technology Drive, Pittsburgh, PA 15219
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Jeffrey S. Vipperman, Ph.D.,
Jeffrey S. Vipperman, Ph.D.
Department of Mechanical Engineering and Material Science, and Department of Bioengineering,
University of Pittsburgh
, Pittsburgh, PA 15219
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David A. Vorp, Ph.D.
David A. Vorp, Ph.D.
Department of Surgery, Division of Vascular Surgery,
e-mail: vorpda@upmc.edu
University of Pittsburgh
, Suite 200, Bridgeside Point, Pittsburgh, PA 15219; Department of Bioengineering, University of Pittsburgh
, Pittsburgh, PA 15219; McGowan Institute for Regenerative Medicine, University of Pittsburgh
, 100 Technology Drive, Pittsburgh, PA 15219
Search for other works by this author on:
Mohammed S. El-Kurdi, Ph.D.
Department of Surgery, Division of Vascular Surgery,
University of Pittsburgh
, Suite 200, Bridgeside Point, Pittsburgh, PA 15219; Department of Bioengineering, University of Pittsburgh
, Pittsburgh, PA 15219; McGowan Institute for Regenerative Medicine, University of Pittsburgh
, 100 Technology Drive, Pittsburgh, PA 15219
Jeffrey S. Vipperman, Ph.D.
Department of Mechanical Engineering and Material Science, and Department of Bioengineering,
University of Pittsburgh
, Pittsburgh, PA 15219
David A. Vorp, Ph.D.
Department of Surgery, Division of Vascular Surgery,
University of Pittsburgh
, Suite 200, Bridgeside Point, Pittsburgh, PA 15219; Department of Bioengineering, University of Pittsburgh
, Pittsburgh, PA 15219; McGowan Institute for Regenerative Medicine, University of Pittsburgh
, 100 Technology Drive, Pittsburgh, PA 15219e-mail: vorpda@upmc.edu
J Biomech Eng. Apr 2009, 131(4): 041012 (8 pages)
Published Online: February 12, 2009
Article history
Received:
November 29, 2007
Revised:
November 23, 2008
Published:
February 12, 2009
Citation
El-Kurdi, M. S., Vipperman, J. S., and Vorp, D. A. (February 12, 2009). "Design and Subspace System Identification of an Ex Vivo Vascular Perfusion System." ASME. J Biomech Eng. April 2009; 131(4): 041012. https://doi.org/10.1115/1.3072895
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