L1-REGULARIZED RECONSTRUCTION FOR TRACTION FORCE MICROSCOPY

Traction Force Microscopy (TFM) is a technique widely used to recover cellular tractions from the deformation they cause in their surrounding substrate. Traction recovery is an ill-posed inverse problem that benefits of a regularization scheme constraining the solution. Typically, Tikhonov regularization is used but it is well known that L-1-regularization is a superior alternative to solve this type of problems. For that, recent approaches have started to explore what could be their contribution to increase the sensitivity and resolution in the estimation of the exerted tractions. In this manuscript, we adapt the L-1-regularization of the curl and divergence to 2D TFM and compare the recovered tractions on simulated and real data with those obtained using Tikhonov and L-1-norm regularization.