An analysis of the complete strain field within Flexercell membranes

The purpose of the current investigation was to use finite element analysis to quantify the complete strain field for the membranes of the Flexercell^TM apparatus, a device extensively used to study the effects of mechanical loading on cultured cells. Four vacuum pressure simulations were run for the membrane for both the uniaxial and biaxial loading post, yielding the distribution of longitudinal (E_xx) and transverse (E_yy) strain for the uniaxial post, and the radial (E_rr) and the circumferential (E_θθ) strain for the biaxial post. The discrete values of each strain were evaluated at the center of the loading post as well as the region off of the post. Experimental measurements were made for both types of loading posts in order to validate our simulations. The biaxial post simulation was found to provide a central circular region of equal and constant E_rr and E_θθ in the membrane on the post. Likewise, the uniaxial post simulation provided a definitive region of constant E_xx for a central rectangular region on the post. For the uniaxial simulation, the region on the post resulted in small compressive E_yy, while the region off the post resulted in tensile E_yy. The biaxial simulation resulted in large tensile E_rr and E_θθ on the post, while the region off the post resulted in large E_rr and smaller E_θθ. Our simulations were reasonably consistent with the experimental measurements made for both types of loading posts. We believe that the results of this study will allow scientists to more accurately describe the response of cells to known strains on all portions of the membrane, thus increasing the range of known strain regions for investigation in the Flexercell^TM apparatus.