Swimming of Microorganisms Viewed from String and Membrane Theories

Swimming of microorganisms is studied from a viewpoint of extended objects (strings and membranes) swimming in the incompressible uid of low Reynolds number. The agellated motion is analyzed in two dimensional uid, by using the method developed in the ciliated motion with the Joukowski transformation. Discussion is given on the conserved charges and the algebra which are associated with the area (volume)preserving di eomorphisms giving the swimming motion of microorganisms. It is also suggested that the N -point stringand membrane-like amplitudes are useful for studying the collective swimming motion of microorganisms when uctuation of the vorticity distribution exists in the sticky or rubber-like uid.