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
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... 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