Mathematical modeling and experimental testing of three bioreactor configurations based on windkessel models
Abstract
Overview
This paper presents an experimental study
of three bioreactor configurations. The bioreactor
is intended to be used for the development
of tissue-engineered heart valve substitutes.
Therefore it must be able to reproduce
physiological flow and pressure waveforms
accurately. A detailed analysis of three bioreactor
arrangements is presented using mathematical
models based on the windkessel (WK)
approach. First, a review of the many applications
of this approach in medical studies
enhances its fundamental nature and its usefulness.
Then the models are developed with
reference to the actual components of the
bioreactor. This study emphasizes different
conflicting issues arising in the design
process of a bioreactor for biomedical purposes,
where an optimization process is essential to reach a compromise satisfying all conditions.
Two important aspects are the need for
a simple system providing ease of use and
long-term sterility, opposed to the need for an
advanced (thus more complex) architecture
capable of a more accurate reproduction of the
physiological environment. Three classic WK
architectures are analyzed, and experimental
results enhance the advantages and limitations
of each one.
Keywords
Bioreactor, design, heart valve, tissue engineering, windkessel models.
Article Information
Correspondence
Jean Ruel, 1026 avenue de la Médecine, Pavillon Pouliot, office 1361, Québec, PQ, GIV 0A6, Canada. E-mail: jruel@gmc.ulaval.ca
Acknowledgements
We wish to thank our great
team of collaborators, Yvan Maciel, professor at
Laval University’s Department of Mechanical
Engineering, Dr François Auger and Dr Lucie
Germain, professors at Laval University’s
Department of Surgery, and Dan Lacroix, project
manager at the LOEX research center (St-
Sacrement Hospital) in Quebec. We also wish to
thank Guillaume Lalande, Rosalie Pelletier, and
Catherine Tremblay, M.Sc. students, for their
support and contribution to this work.
Received
2009-06-22
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