Amoeboid swimming in compliant channel
Several prokaryotes and eukaryotic cells swim in presence of deformable and rigid surfaces that forms confinement. Most commonly observed examples from biological systems are motility of leukocytes and pathogens present within blood suspension through microvascular network, locomotion of eukaryotic cells such as immune system cells, cancerous cells through interstices between soft interstitial cells and extracellular matrix within interstitial tissue. This motivated us to investigate numerically flow dynamics of amoeboid swimming in flexible channel. The effects of wall stiffness and channel confinement on the flow dynamics and swimmer motion are studied. The swimmer motion through the flexible channel is substantially decelerated compared to the rigid channel. The strong confinement in amply flexible channel imprisons the swimmer by severely restricting its forward motion. The swimmer velocity in a stiff channel displays nonmonotonic variation with the confinement while it shows monotonic reduction in a highly flexible channel. The physical rationale behind such distinct velocity behaviour in flexible and rigid channels is illustrated using instantaneous flow field and flow history displayed by the swimmer. This behavior follows from a subtle interplay between the shape change exhibited by the swimmer and the wall compliance. This study may aid in understanding influence of elasticity of surrounding environment on cell motility in immunological surveillance and invasiveness of cancer cells.