Force exertion is an integral part of cellular behavior. Traction force microscopy (TFM) has been instrumental for studying such forces, providing both spatial and directional force measurements at subcellular resolution. However, the applications of classical TFM are restricted by the typical planar geometry. Here, we develop a particle-based force sensing strategy, specifically designed for studying ligand-dependent cellular interactions. We establish a straightforward batch approach for synthesizing highly uniform, deformable and tunable hydrogel particles, which can also be easily derivatized to trigger specific cellular behavior. The 3D shape of such particles can be resolved with superresolution (<50 nm) accuracy using conventional confocal microscopy. We introduce a computational method that allows inference of surface traction forces with high sensitivity (~10 Pa) directly from the particle shape. We illustrate the potential and flexibility of this approach by revealing surprising subcellular force patterns throughout phagocytic engulfment and measuring dynamics of cytotoxic T cell force exertion in the immunological synapse. This strategy can readily be adapted for studying cellular forces in a wide range of applications. <50 nm precision. Finally, we solve the inverse problem of inferring the displacement field and traction forces from the measured particle shape and traction-free regions. This is accomplished by iteratively minimizing a cost function consisting of contributions from shape mismatch, residual tractions, and the elastic energy, and is enabled by a fast spherical harmonics-based method 17 . We illustrate the potential of this MP-TFM method by revealing subcellular details of the mechanical interaction of macrophages with their targets during phagocytosis, as well as the dynamics of force exertion in the T cell immunological synapse.
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