Abstract

Several microorganisms swim by a beating flagellum more rapidly in solutions with gel-like structure than they do in low-viscosity mediums. In this work, we aim to model and investigate this behavior in low Reynolds numbers viscous heterogeneous medium using soft microrobotic sperm samples. The microrobots are actuated using external magnetic fields and the influence of immersed obstacles on the flagellar propulsion is investigated. We use the resistive-force theory to predict the deformation of the beating flagellum, and the method of regularized Stokeslets for computing Stokes flows around the microrobot and the immersed obstacles. Our analysis and experiments show that obstacles in the medium improves the propulsion even when the Sperm number is not optimal (Sp ≠ 2.1). Experimental results also show propulsion enhancement for concentration range of 0−5% at relatively low actuation frequencies owing to the pressure gradient created by obstacles in close proximity to the beating flagellum. At relatively high actuation frequency, speed reduction is observed with the concentration of the obstacles.

Highlights

  • Efficient propulsion on the microscale is one of the main targets of micro- and nanorobotics research

  • Soft Microrobotic Sperm in Heterogeneous Media rods resembles the motion of spermatozoa, which move as pushers by bending waves traveling along their flagellum

  • In contrast to sperm cells and flagellated microorganisms, our soft microrobotic sperm depends on an external magnetic field with a sinusoidally varying orthogonal component to achieve flagellar propulsion

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Summary

INTRODUCTION

Efficient propulsion on the microscale is one of the main targets of micro- and nanorobotics research. Spermatozoa are biological microswimmers that have evolved to swim efficiently through complex environments of the reproductive tract (Gaffney et al, 2011). On their way to the fertilization site, mammalian sperm cells migrate through fluids with a wide range of viscosities, pH, and complex compositions of macromolecules and cells. Motile bacteria have shown increased swimming velocity in increased viscosity due to the interaction with the fibrous network This network allows the microorganisms to push themselves off the surrounding obstacles, increasing the pitch of the helical motion (Berg and Turner, 1979; Leshansky, 2009; Ullrich et al, 2016). We investigate the influence of the concentration of these particles in the colloidal suspension on the swimming speed theoretically and experimentally

MODELING OF SOFT MICROROBOTIC SPERM IN A VISCOUS HETEROGENEOUS MEDIUM
Flagellar Propulsion Using the Resistive-Force Theory
Stokeslets Flow-Fields
Numerical Scheme of the Hydrodynamic Model
System Description
Frequency Response Characterization
CONCLUSIONS

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