Folders include in the repository Cell_Data Single Cell Force Spectroscopy curves obtained on cells, under different conditions (see folder name and paper for details on concentrations). Numbers indicate experimental replicates. Data format is text export from Nanosurf. Gel_Data Force spectroscopy curves obtained on the gel, as described in the paper. Data format is native Optics11 text file Numerical_Data Force vs indentation obtained via FEA with the Matlab routine provided by Doss et al. Data are direct export of Matlab structure; the name indicates E0 and d0; Eb was kept constant to 2kPa fc20800 E0 = 20k d0 = 800nm; where the file name ends by 000 --> d0 = 300nm Doss,B.L.; Rahmani Eliato,K.; Lin,K.; Ros,R. Quantitative mechanical analysis of indentations on layered, soft elastic materials. Soft Matter 2019, 15, 1776–1784.