Kinematics of the Swimming ofSpiroplasma

Jing Yang, Charles W. Wolgemuth, Greg Huber
2009 Physical Review Letters  
Spiroplasma swimming is studied with a simple model based on resistive-force theory. Specifically, we consider a bacterium shaped in the form of a helix that propagates traveling-wave distortions which flip the handedness of the helical cell body. We treat cell length, pitch angle, kink velocity, and distance between kinks as parameters and calculate the swimming velocity that arises due to the distortions. We find that, for a fixed pitch angle, scaling collapses the swimming velocity (and the
more » ... wimming efficiency) to a universal curve that depends only on the ratio of the distance between kinks to the cell length. Simultaneously optimizing the swimming efficiency with respect to inter-kink length and pitch angle, we find that the optimal pitch angle is 35.5^∘ and the optimal inter-kink length ratio is 0.338, values in good agreement with experimental observations.
doi:10.1103/physrevlett.102.218102 pmid:19519138 fatcat:3ge36jpehzeeblhqseeoavwqw4