Extended bacterial tail profiles are well described by a simple mathematical function. (A) Schematic of blurred exponential function described in text, with σ, k, offset (d), and scaling (a). (B) Representative fits of blurred exponential (black) to measured average actin tail profiles (red) for four bacteria, different than previous examples. Individual bacterial average speeds are indicated in the legend. (C) Corresponding longitudinal cross-sections from the tracking channel, indicating the relative position of the bacterium.