The application of a homogeneous half-space model in the analysis of endothelial cell micropipette measurements

Theret, D. P.; Levesque, M. J.; Sato, M.; Nerem, R. M.; Wheeler, L. T.

Affiliations

¹Department of Mechanical Engineering, University of Houston, Houston, TX 77004

²Biomechanics Laboratory, Georgia Institute of Technology, Atlanta, GA 30332-0405

Abstract

Experimental studies have shown that endothelial cells which have been exposed to shear stress maintain a flattened and elongated shape after detachment. Their mechanical properties, which are studied using the micropipette experiments, are influenced by the level as well as the duration of the shear stress. In the present paper, we analyze these mechanical properties with the aid of two mathematical models suggested by the micropipette technique and by the geometry peculiar to these cells in their detached post-exposure state. The two models differ in their treatment of the contact zone between the cell and the micropipette. The main results are expressions for an effective Young’s modulus for the cells, which are used in conjunction with the micropipette data to determine an effective Young’s modulus for bovine endothelial cells, and to discuss the dependence of this modulus upon exposure to shear stress.

Links

DOI: 10.1115/1.3108430

PubMed: 3172738

WoS: A1988P868000006

History

Received: 1987-08-16

Revised: 1988-05-09

Cited Works (1)

Year	Entry
1985	Levesque MJ, Nerem RM. The elongation and orientation of cultured endothelial cells in response to shear stress. J Biomech Eng. November 1985;107(4):341-347.

Cited By (26)

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1993	Fung YC. Biomechanics: Mechanical Properties of Living Tissues. 2nd ed. New York, NY: Springer-Verlag; 1993.
2000	Guilak F, Tedrow JR, Burgkart R. Viscoelastic properties of the cell nucleus. Biochem Biophys Res Commun. March 24, 2000;269(3):781-786.
2002	Guilak F, Erickson GR, Ting-Beall HP. The effects of osmotic stress on the viscoelastic and physical properties of articular chondrocytes. Biophys J. February 2002;82(2):720-727.
1999	Jones WR, Ping Ting-Beall H, Lee GM, Kelley SS, Hochmuth RM, Guilak F. Alterations in the young’s modulus and volumetric properties of chondrocytes isolated from normal and osteoarthritic human cartilage. J Biomech. February 1999;32(2):119-127.
2000	Hochmuth RM. Micropipette aspiration of living cells. J Biomech. January 2000;33(1):15-22.
2000	Sevostianov I, Kachanov M. Impact of the porous microstructure on the overall elastic properties of the osteonal cortical bone. J Biomech. July 2000;33(7):881-888.
2005	Leipzig ND, Athanasiou KA. Unconfined creep compression of chondrocytes. J Biomech. January 2005;38(1):77-85.
1990	Sato M, Theret DP, Wheeler LT, Ohshima N, Nerem RM. Application of the micropipette technique to the measurement of cultured porcine aortic endothelial cell viscoelastic properties. J Biomech Eng. August 1990;112(3):263-268.
2003	Alexopoulos LG, Haider MA, Vail TP, Guilak F. Alterations in the mechanical properties of the human chondrocyte pericellular matrix with osteoarthritis. J Biomech Eng. June 2003;125(3):323-333.
2000	Trickey WR, Lee GM, Guilak F. Viscoelastic properties of chondrocytes from normal and osteoarthritic human cartilage. J Orthop Res. November 2000;18(6):891-898.
2004	Trickey WR, Vail TP, Guilak F. The role of the cytoskeleton in the viscoelastic properties of human articular chondrocytes. J Orthop Res. January 2004;22(1):131-139.
1999	Guilak F, Jones WR, Ting-Beall HP, Lee GM. The deformation behavior and mechanical properties of chondrocytes in articular cartilage. Osteoarthritis Cartilage. January 1999;7(1):59-70.
2006	Darling EM, Zauscher S, Guilak F. Viscoelastic properties of zonal articular chondrocytes measured by atomic force microscopy. Osteoarthritis Cartilage. June 2006;14(6):571-579.
1999	Guilak F, Ting-Beall HP, Baer AE, Trickey WR, Erickson GR, Setton LA. Viscoelastic properties of intervertebral disc cells: identification of two biomechanically distinct cell populations. Spine. December 1, 1999;24(23):2475-2483.
2007	Likhitpanichkul M. The Cell-Matrix Mechano-Electrochemical Interactions in Articular Cartilage: Experiment and Triphasic Model [PhD thesis]. Columbia University; 2007.
2008	Hong S. Quantitative Analysis of Cell-Surface Interactions and Cell Adhesion Process in Real-Time [PhD thesis]. Drexel University; April 2008.
2000	Trickey WR. Mechanical Properties of Chondrocytes [PhD thesis]. Duke University; 2000.
2004	Alexopoulos LG. The Biomechanical Role of the Chondrocyte Pericellular Matrix in Articular Cartilage [PhD thesis]. Duke University; 2004.
2021	Jacobson N. Design and Validation of a Non-Invasive Intra-Abdominal Pressure Measurement Device [PhD thesis]. McGill University; August 2021.
2005	Scott CC. Interferometry of Chondrocytes and Impact of Articular Cartilage [PhD thesis]. Houston, TX: Rice University; August 2005.
2006	Leipzig ND. Growth Factor Effects on Single Chondrocyte Biomechanics and Gene Expression [PhD thesis]. Houston, TX: Rice University; April 2006.
2006	Shieh AC. Mechanobiology of Single Chondrocytes [PhD thesis]. Houston, TX: Rice University; April 2006.
2009	Ofek G. Biomechanics of the Single Chondrocyte and Its Developing Extracellular Matrix [PhD thesis]. Houston, TX: Rice University; May 2009.
2012	Sanchez-Adams J. Regional Characterization of the Knee Meniscus and Tissue Engineering With Dermal Stem Cells [PhD thesis]. Houston, TX: Rice University; 2012.
2009	Kim K. MEMS-Based Mechanical Characterization of Micrometer-Sized Biomaterials [PhD thesis]. University of Toronto; 2009.
2012	Sider KL. Mechanical and Histological Characterization of Porcine Aortic Valves Under Normal and Hypercholesterolemic Conditions [PhD thesis]. University of Toronto; 2012.