Model for self-propulsive helical filaments: kink-pair propagation.

Spiroplasma bacteria propel through viscous fluids by sending kinks or domain walls between regions of opposite handedness down their helical body. A simple elastic model for the domain-wall propagation is formulated and studied using hydrodynamic simulations and scaling arguments, giving good agreement with recent video-microscopy observations. It is shown that the observed helical bacterial pitch angle psi approximately 35 degrees is optimized for maximal speed and efficiency.