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2 results

  • 2 - The Fluid Dynamics of Microscopic Locomotion

  • from Part One - Fundamentals
  • Eric Lauga, University of Cambridge
  • Book:
    The Fluid Dynamics of Cell Motility
    Published online:
    09 September 2020
    Print publication:
    05 November 2020, pp 12-28

  • Summary

    This second chapter is devoted to an overview of the fundamental physical concepts and mathematical equations required to construct models of cell locomotion. We start from the general setup of locomotion in fluids at arbitrary length scales before focusing on the low Reynolds number limit. We show in particular how the Stokes limit of hydrodynamics can be exploited along with symmetry arguments to derive general properties of microscopic locomotion.

  • 5 - Flagella and the Physics of Viscous Propulsion

  • from Part Two - Cellular Locomotion
  • Eric Lauga, University of Cambridge
  • Book:
    The Fluid Dynamics of Cell Motility
    Published online:
    09 September 2020
    Print publication:
    05 November 2020, pp 65-76

  • Summary

    Biological locomotion for both major classes of organisms, prokaryotes and eukaryotes, is three-dimensional and is dominated by the presence of slender filaments, flagella, which are rotating and waving in viscous fluids. In this fifth chapter, we return to the biological movements seen in Chapter 1 and consider the relationship between the cellular shapes and their motion. Using elementary concepts from Stokes flows, we propose an intuitive physical and mathematical interpretation for the generation of propulsive forces by moving flagella and for the natural occurrence of helices and waves in cellular propulsion.