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Individual movements of a rod-like self-propelled particle on a flatsubstrate are quantified. Biological systems that fit into this description maybe the Gram-negative delta-proteobacterium Myxococcus xanthus, Gram-negativebacterium Escherichia coli, and Mitochondria. There are also non-livinganalogues such as vibrated polar granulates and self-driven anisotropiccolloidal particles. For that we study the Brownian motion of an asymmetricrod-like rigid particle self-propelled at a fixed speed along its long axis intwo dimensions. The motion of such a particle in a uniform external potentialfield is also considered. The theoretical model presented here is anticipatedto better describe individual cell motion as well as intracellular transport in2D than previous models.

Active Brownian motion of an asymmetric rigid particle