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. 2017 Jun 1;8:15692. doi: 10.1038/ncomms15692

Figure 2. Geometry of 3D intersections and directional outcomes of motor–cargo complexes encountering actin intersections.

Figure 2

(a) To scale schematic of a 3D suspended actin intersection encountered by a motor–cargo complex where the approach angle (α) and filament separation (d) are defined. An α of 0° has the centre of the motor–cargo complex vertically above the original filament it is travelling on, which is the same side the intersecting filament is on. d is the centre-to-centre distance between the two intersecting filaments at the point of the intersection. (b) Polar plot predicting whether or not a motor–cargo complex physically interacts with the intersecting filament as a function of d (0–250 nm) and α (0°–360°). To translate this plot into 3D spatial relations between the intersecting filaments and the motor–cargo complex, the illustration of the approach angle (α) in a is used as the point of reference. The originally bound filament on which the motor–cargo complex is travelling on comes in and out of the figure at the graph's origin. The intersecting filament is horizontally in the plane of the figure at a filament separation, d, above the origin with α defined as in a. The magenta line is the predicted spatial boundary at which combinations of d and α determine whether or not the motor–cargo complex can physically interact with the intersecting filament. To scale examples of interaction and non-interaction geometries are illustrated at their respective d and α. The coloured triangles for these examples are identified on the polar plot. (c) Fractional probability plot of motor-complex directional outcomes for experimental (solid bars, n=94) and modelled (slashed bars) data at 3D intersections with predicted interaction geometries. Directional outcomes at 2D experimental intersections (vertical striped bars, n=96) where the motor–cargo complex approached the intersecting filament on the bottom filament. Of the turning outcomes in the 3D experiments, left hand turns occurred 52% of the time with right hand turns the other 48%. For the model the left and right turn probability was equal. The model also predicts (inset) that the intersection directional outcomes are independent of the polarity of the intersecting filament. Error bars are s.d. from six simulations.