Three-Dimensional Quantification of Cellular Traction Forces and Mechanosensing of Thin Substrata by Fourier Traction Force Microscopy
Figure 10
Effect of finite substratum thickness on the substratum stiffness mechanosensed by tangential or normal traction stresses.
Panels (a) and (b) display the apparent elastic modulus of the substratum (eq. 21) in the directions tangential and normal to the surface respectively. The data are plotted as a function of the Poisson's ratio, σ, and the substratum thickness h normalized with the wavenumber of the strain/stress fields. For simplicity, the
case is represented but similar results are obtained for other combinations of the wavenumbers. The isolines plotted in panels (a) and (b) are respectively
, and
. Particularly, the The thick black contour in each panel represents the isoline
corresponding to a two-fold increase in apparent stiffness. The vertical dashed lines indicate the values of the Poisson's ratio represented in Figure 11,
.