Determination of Green's function for three-dimensional traction force reconstruction based on geometry and boundary conditions of cell culture matrices.

Abstract

This study focused on the fundamental issue regarding extension of linear elasticity-based TFM to deal with physically realistic matrices (where cells are encapsulated), which concerns determination of the Green's function matching their geometry and boundary conditions. To increase fidelity in the estimate of traction forces for extreme conditions such as a sparse sampling of deformation field or targeting small focal adhesions, we numerically solved the singularity problem of the Green's function to avoid exclusion of singular point regions that could contain representative deformation indicators for such extreme conditions. The proposed approach to adapting the Green's function for the specific 3D cell culture situation was examined in a single case experimental study of endothelial cells in sprouting angiogenesis.