Development and experimental validationof a fluid/ structure-interaction finite element modelof a vacuum-driven cell culture mechanostimulus system

被引:13
作者
Brown, Thomas D. [1 ]
Bottlang, Michael [1 ]
Pedersen, Douglas R. [1 ]
Banes, Albert J. [2 ]
机构
[1] Departments of Orthopaedic Surgery and Biomedical Engineering, University of Iowa, Iowa City, IA
[2] Department of Orthopaedics, University of North Carolina, Chapel Hill, NC
关键词
Cell culture; Finite element; Fluid stress; Fluid-structure interaction; Mechanostimulus;
D O I
10.1080/10255840008915254
中图分类号
学科分类号
摘要
A new fluid/structure-interaction finite element formulation is reported, by means of which reactive fluid stresses can be determined for what is currently the most widely used laboratory apparatus (; the Flexercell Strain Unit) for delivering controlled in vitro mechanical stimuli to cultured cells. The apparatus functions by means of cyclic vacuum application to the undersurface of a membrane-like circular rubber substrate. When operated in Us original embodiment (i.e., without axial constraint to substrate motion), the pulsatile vacuum causes appreciable pulsatile excursions (often several millimeters) of the substrate. The mechanical stimuli experienced by cells attached atop the substrate include not only substrate distention, but also potentially confounding reactive fluid stresses due to coupled motions of the overlying liquid culture nutrient medium. Since it is impractical to directly measure reactive fluid stress in such environments, a corresponding mathematical model has been developed. The formulation involves transient continuum finite element solutions for the nutrient medium flow field and for the deformation of the substrate, coupled at their mutual interface (the substrate culture surface) Besides the nonlinearities inherent in the flow field and substrate treatments per se, the numerical problem is complicated by the presence of moving boundaries at the nutrient free surface and at the nutrient/substrate interface, as well as by the need to enforce fluid/structure interaction throughout the duty cycle. Algorithmic considerations appropriate to achieving physically realistic numerical performance are reported, and a confirmatory laboratory validation experiment is described. © 2000 OPA (Overseas Publishers Association) N.V.
引用
收藏
页码:65 / 78
页数:13
相关论文
共 21 条
  • [1] Brown T.D., Techniques for Cell and Tissue Culture Mechanostimulation: Historical and Contemporary Design Considerations, Iona Orthopaedic Journal, 15, pp. 112-117, (1995)
  • [2] Vandenburgh H.H., A Computerized Mechanical Cell Stimulator for Tissue Culture: Effects on Skeletal Muscle Organogenesis, In Vitro Cell. Dev. Biol, 24, pp. 609-619, (1988)
  • [3] Schaffer J.L., Rizen M., L'ltalien G.J., Benbrahim A., Megerman J., Gerstenfeld L.C., Gray M.J., Device for the Application of a Dynamic Biaxially Uniform and Isotropic Strain to a Flexible Cell Culture Membrane, J. Orthop. Res, 12, pp. 709-719, (1994)
  • [4] Neidlinger-Wilke C., Wilke H.-J., Claes L., Cyclic Stretching of Human Osteoblasts Affects Proliferation and Metabolism: A New Experimental Method and Its Application, J. Orthop. Res, 12, pp. 70-78, (1994)
  • [5] Bottlang M., Simnacher M., Schmitt H., Brand R.A., Claes L., A Cell Strain System for Small Homogeneous Strain Applications, Biomedizinische Technik, 42, pp. 305-309, (1997)
  • [6] Banes A.J., Gilbert J.L., Taylor T., Monbureau O., A New Vacuum-Operated Stress-Providing Instrument that Applies Static or Variable Duration Cyclic Tension or Compression to Cells In Vitro, J. Cell Science, 75, pp. 35-42, (1985)
  • [7] Brighton C.T., Strafford B., Gross S.B., Leatherwood D.F., Williams J.L., Pollack S.R., The Proliferative and Synthetic Response of Isolated Calvarial Bone Cells of Rats to Cyclic Biaxial Mechanical Strain, J. Bone Joint Surg, 73 A, pp. 320-331, (1991)
  • [8] Winston F.K., McArak E.J., Gorfien S.F., Thibault L.E., A System to Reproduce and Quantify the Biomechanical Environment of the Cell, J. Appl. Phvsiol, 67, pp. 397-405, (1989)
  • [9] Gilbert J.L., Banes A.J., Weinhold P.S., Link G.W., Jones G.L., Strain Profiles for Circular Plates an Membranes Employed to Mechanically Deform Cells In Vitro, J. Biomech, 27, pp. 1169-1178, (1994)
  • [10] Pedersen D.R., Brown T.D., Banes A.J., Mechanical Behavior of a New Substratum for Strain-Mediated Cell Culture Experiments, N. Am. Conf. on Biomechanics, pp. 355-356, (1992)