Abstract
Bioreactors are used as cell culture systems for growth and maintenance of tissue-engineered scaffolds that serve as three-dimensional (3D) templates for initial cell attachment and subsequent tissue formation. The bioreactors’ fluid dynamic environment is known to play a crucial role in the synthesis of cellular components via flow-mediated mechanical stimuli. Computational fluid dynamics (CFD) models in the slow turning lateral vessel (STLV® Synthecon, Inc.) were simulated under Couette flow conditions. Systematic research of the wall shear stress (WSS) effects on the scaffold’s geometry has been limited. Therefore, direct qualitative and quantitative correlations for WSS values were performed by analyzing and comparing WSS value distributions of two scaffold shapes. Under experimental flow conditions, the disc and prolate spheroid shapes exhibited dissimilar WSS distribution. Nonetheless, when compared to the disc models, the high pressure stagnation region of the spheroid was reduced between 60% and 95%. In the spheroid shape, approximately 40% increase in the shear stress surface exposure to flow ranged from 2 to 3 dyn/cm2. These values suggest that WSSs are likely affected by scaffold shape and vary little with location within the Synthecon® STLV. The proposed simulation studies evidenced the CFD model’s flexibility to characterize and quantify forces affecting tissue-engineered scaffold design.
Similar content being viewed by others
References
Begley C. M., Kleis S. J. (2000) The fluid dynamic and shear environment in the NASA/JSC rotating-wall perfused-vessel bioreactor. Biotechnol. Bioeng. 70(1):32–40
Begley C. M., Kleis S. J. (2002) RWPV bioreactor mass transport: earth-based and in microgravity. Biotechnol. Bioeng. 80(4): 465–476
Bettinger C. J., Weinberg E. J., Kulig K. M., Vacanti J. P., Wang Y., Borenstein J. T., Langer R. (2006) Three-dimensional microfluidic tissue-engineering scaffolds using a flexible biodegradable polymer. Adv. Mater. 18(2):165–169
Bilgen B., Sucosky P., Neitzel G. P., Barabino G. A. (2006) Flow characterization of a wavy-walled bioreactor for cartilage tissue engineering. Biotechnol. Bioeng. 95(6):1009–1022
Blackman B. R., Thibault L. E., Barbee K. A. (2000) Selective modulation of endothelial cell [Ca2+]; response to flow by the onset rate of shear stress. J. Biomech. Eng. 122: 274–282
Boschetti F., Raimondi M. T., Migliavacca F., Dubini G. (2006) Prediction of the micro-fluid dynamic environment imposed to three-dimensional engineered cell systems in bioreactors. J. Biomech. 39(3):418–425
Botchwey E. A., Pollack S. R., Levine E. M., Johnston E. D., Laurencin C. T. (2001) Bone tissue engineering in a rotating bioreactor using a microcarrier matrix system. J. Biomed. Mater. Res. 55(2):242–253
Botchwey E. A., Pollack S. R., Levine E. M., Johnston E. D., Laurencin C. T. (2004) Quantitative analysis of three-dimensional fluid flow in rotating bioreactors for tissue engineering. J. Biomed. Mater. Res. A 69(2):205–215
Computational Fluid Dynamics Research Corporation [CFDRC]. Multidisciplinary engineering solutions. CFD-ACE (U) User Manual. Huntsville, 2002, pp. 1–20.
Freed L. E., Langer R., Martin I., Pellis N. R., Vunjak-Novakovic G. (1997) Tissue engineering of cartilage in space. Proc. Natl. Acad. Sci. USA 94: 13885–13890
Freed L. E., Vunjak-Novakovic G. (1995) Cultivation of cell-polymer tissue scaffolds in simulated microgravity. Biotechnol. Bioeng. 46:306–313
Freed L. E., Vunjak-Novakovic G. (1996) Biomedical reactors: mixing patterns in oscillating and rotating vessels. J. Serb. Chem. Soc. 61(4–5):283–295
Gao H., Ayyaswamy P. S., Ducheyne P. (1997) Dynamics of a microcarrier particle in the simulated microgravity environment of a rotating-wall vessel. Microgravity Sci. Technol. 10(3):154–165
Goldstein A. S., Juarez T. M., Helmke C. D., Gustin M. C., Mikos A. G. (2001) Effect of convection on osteoblastic cell growth and function in biodegradable polymer foam scaffolds. Biomaterials 22(11):1279–1288
Hammond T. G., Hammond J. M. (2001) Optimized suspension culture: the rotating-wall vessel. Am. J. Physiol. Renal Physiol. 281: F12–F25
Langer R. (1999) Selected advances in drug delivery and tissue engineering. J. Control Release 62: 7–11
Langer R., Vacanti J. (1993) Tissue engineering. Science 260(5110):920–926
Lanza R. P., Langer R., Vacanti J. (2000) Principles of Tissue Engineering. Academic Press, San Diego, pp. 9–205
Martin I., Wendt D., Heberer M. (2004) The role of bioreactors in tissue engineering. Trends Biotechnol. 22(2):80–86
Neitzel G. P., Nerem R. M., Sambanis A., Smith M. K., Wick T. M., Brown J. B., Hunter C., Jovanovic I., Saini P., Tan S. (1998) Cell function and tissue growth in bioreactors: fluid mechanical and chemical environments. J. Jpn. Soc. Microgr. Appl. 15(Suppl. II):602–607
Obradovic, B., R. L. Carrier, G. Vunjak-Novakovic, L. E. Freed. Gas exchange is essential for bioreactor cultivation of tissue engineered cartilage. Biotechnol. Bioeng. 63(2), 197–205, 1999
Patankar, S. V. Numerical Heat Transfer and Fluid Flow: Computational Methods in Mechanics and Thermal Science. Hemisphere Publishing Corporation, 1980, pp. 41–153
Patel A., Fine B., Sandig M., Mequanint K. (2006) Elastin biosynthesis: the missing link in tissue-engineered blood vessels. Cardiovasc. Res. 71(1):40–49
Porter B., Zauel R., Stockman H., Guldberg R., Fyhrie D. (2005) 3-D computational modeling of media flow through scaffolds in a perfusion bioreactor. J. Biomech. 39:543–549
Prakash S., Ethier C. R. (2001) Requirements for mesh resolution in 3d computational hemodynamics. J. Biomech. Eng. 123:134–144
Sachlos E., Czermuszka J. T. (2003) Making tissue engineering scaffolds work. Review on the application of solid freeform fabrication technology to the production of tissue engineering scaffolds. Eur. Cell Mater. 5:29–46
Saltzman W. M. (2004) Tissue Engineering, Principles for the Design of Replacements Organs and Tissues. Oxford University Press, New York, pp. 5–67
Shoufeng Y., Leong K. H., Du Z., Chua C. (2001) The design of scaffolds for use in tissue engineering part i traditional factors. Tissue Eng. 7(6):679–687
Shyy J. Y. (2001) Mechanotransduction in endothelial responses to shear stress: review of work in Dr. Chien’s laboratory. Biorheology. 38:109–117
Sucosky P., Osorio D. F., Brown J. B., Neitzel G. P. (2004) Fluid mechanics of a spinner-flask bioreactor. Biotechnol. Bioeng. 85(1):34–46
Vacanti J. P. (2003) Tissue and organ engineering: can we build intestine and vital organs? J. Gastrointest. Surg. 7(7):831–835
White F. M. (1974) Solutions of the Newtonian Viscous-flow Equations. Viscous fluid flow. McGraw-Hill, New York, pp. 110–112
Williams K. A., Saini S., Wick T. M. (2002) Computational fluid dynamics modeling of steady-state momentum and mass transport in a bioreactor for cartilage tissue engineering. Biotechnol. Prog. 18: 951–963
Acknowledgments
We thank Dr. Schoephoerster for his collaboration and advice. We are also grateful to Dr. Moore and Dr. Nandini for their technical guidance on computational fluid dynamics and Dr. Sukop for his contribution and assistance. Florida International University Department of Biomedical Engineering for research support. We like to thank also Synthecon, Inc for the STLV figures and geometric consultations.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gutierrez, R.A., Crumpler, E.T. Potential Effect of Geometry on Wall Shear Stress Distribution Across Scaffold Surfaces. Ann Biomed Eng 36, 77–85 (2008). https://doi.org/10.1007/s10439-007-9396-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10439-007-9396-5