Outline of the simulation process. (a) A uniform
circular traction
field Tsimulated(x) is
simulated and the corresponding displacement field u(x) calculated (heat map; high traction magnitude
warm colors, low traction magnitudes cold colors, white arrows: traction
direction). The displacement field is then subsampled at a confocal
and STED density (red dots: bead positions, black arrows: bead displacements),
the traction field recovered Trecovered(x) and the simulation and recovery compared by
the deviation of traction magnitude (DTM). Scale bar 1 μm. (b)
DTM for varying traction diameters at three sampling densities, confocal
(red), medium STED (blue), and maximum STED (green). A DTM of 0 represents
a perfect traction recovery, whereas a DTM of −1 represents
a complete underestimation. Dotted line: DTM for no subsampling. Line
deviates from zero at large tractions due to artifacts introduced
by the finite size of the simulated gel area. (c) Same as b with the
addition of artificial noise and using the regularized solution, showing
very similar dependency as b except for the no subsampling case (dotted
line), where regularization masks the recovered tractions at length
scales matching that of the artificial noise. (d) Simulation and traction
recovery for a 1 μm diameter circular traction zone (0.3 kPa).
Scale bar 2 μm. (e) Simulation and traction recovery for a 1
μm wavelength periodic traction pattern (0–0.3 kPa).
Scale bar 2 μm.