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The transport of deformable objects including polymer particles, vesicles andcells, has been a subject of interest for several decades where the majority ofexperimental and theoretical studies have been focused on circular tubes. Dueto advances in microfluidics, there is a need to study the transport ofindividual deformable particles in rectangular microchannels where corner flowscan be important. In this study, we report measurements of hydrodynamicmobility of confined polymeric particles, vesicles and cancer cells in a linearmicrochannel with square cross-section. Our operating conditions are such thatthe mobility is measured as a function of geometric confinement over the range0.3 < l < 1.5 and at specified particle Reynolds numbers that are within 0.1 <Rep < 2.5. The experimental mobility data of each of these systems is comparedwith the circular-tube theory of Hestroni, Haber and Wacholder (J. of FluidMech., 1970) with modifications made for a square cross-section. For polymericparticles, we find that the mobility data agrees well over a large confinementrange with the theory but under predicts for vesicles. The mobility of vesiclesis higher in a square channel than in a circular tube, and does not dependsignificantly on membrane mechanical properties. The mobility of cancer cellsis in good agreement with the theory up to l approaches 0.8, after which itdeviates. Comparison of the mobility data of the three systems reveals thatcancer cells have higher mobility than rigid particles but lower than vesicles,suggesting that the cell membrane frictional properties are in between asolid-like interface and a fluid bilayer. We explain further the differences inthe mobility of the three systems by considering their shape deformation andsurface flow on the interface. The results of this study may find potentialapplications in drug delivery and biomedical diagnostics.

Hydrodynamic mobility of confined polymeric particles, vesicles and cancer cells in a square microchannel