Mar 29, 2020

Far from equilibrium dynamics of tracer particles embedded in a growing multicellular spheroid

BioRxiv : the Preprint Server for Biology
H. S. Samanta


By embedding inert tracer particles (TPs) in a growing multicellular spheroid the local stresses on the cancer cells (CCs) can be measured. In order for this technique to be effective the unknown effect of the dynamics of the TPs on the CCs has to be elucidated to ensure that the TPs do not greatly alter the local stresses on the CCs. We show, using theory and simulations, that the self-generated (active) forces arising from proliferation and apoptosis of the CCs drive the dynamics of the TPs far from equilibrium. On time scales less than the division times of the CCs, the TPs exhibit sub-diffusive dynamics (the mean square displacement, {Delta}TP(t) ~ t^{beta}TP with {beta}TP < 1), similar to glass-forming systems. Surprisingly, in the long-time limit, the motion of the TPs is hyper-diffusive ({Delta}TP(t) ~ t^TP with TP > 2) due to persistent directed motion for long times. In comparison, proliferation of the CCs randomizes their motion leading to superdiffusive behavior with CC exceeding unity. Most importantly, CC is not significantly affected by the TPs. Our predictions could be tested using in vitro imaging methods where the motion of the TPs and the CCs can be tracked.

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Mentioned in this Paper

DNA Methylation [PE]
Regenerative Medicine
Pluripotent Stem Cells
Human Genetics
DNA Methylation
Gene Expression
Induced Pluripotent Stem Cells
Cell Type
Diploid Cell

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