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Measurements of local stresses on the cancer cells (CCs), inferred byembedding inert compressible tracer particles (TPs) in a growing multicellularspheroid (MCS), show that pressure decreases monotonically as the distance fromthe core of the MCS increases. How faithfully do the TPs report the localstresses in the CCs is an important question because pressure buildup in theMCS is dynamically generated due to CC division, which implies that the CCdynamics should be minimally altered by the TPs. Here using theory andsimulations, we show that although the TP dynamics is unusual, exhibitingsub-diffusive behavior on times less than the CC division times andhyper-diffusive dynamics on in the long-time limit, they do not affect thelong-time CC dynamics or the local CC stress distributions. The CC pressureprofile within the MCS, which decays from a high value at the core to theperiphery, is almost identical with and without the TPs. That the TPs haveinsignificant effect on the local stresses in the MCS implies that they arereliable reporters of the CC microenvironment.

Tracer particles sense local stresses in an evolving multicellular spheroid without affecting the anomalous dynamics of the cancer cells