Figure 5.
Figure 5. Simulations of a mathematical model of a diffuse-and-capture mechanism to redistribute type 2 nodes from the old to the new division site. (A) Model of diffusing type 2 nodes being captured irreversibly (yellow) by stationary type 1 nodes (green) with a probability of binding pbind if they reside within a defined capture radius Rc at any time point. (B) Drawing of the observations of type 2 nodes (red) redistributing from their origin at the new end of the cell (x = 0) until they colocalize with type 1 nodes in a broad band near the center of the cell. Y is the circumference of the cell. (C) Graphical output of a diffuse-and-capture simulation at the time points indicated. In this simulation, 65 type 2 nodes (red) started at x = 0 and diffused with D = 400 nm2/s until they were captured (yellow) by passing within 60 nm of one of the 65 type 1 nodes (green) located in a Gaussian distribution across a band centered 3 ± 0.8 µm from the new cell tip. The probability of capture was 50%. The simulation used steps of 2 s. Bar, 1 µm. Time expressed in minutes from the beginning of simulation, which corresponds to t = ∼40 min from SPB separation. Also see Fig. S5 J, in which some of the data are displayed for visual comparison with Fig. 1 B. Bar, 2 µm. (D) 10 simulations of the time course of binding of type 2 nodes to type 1 nodes with the parameters used in C. The gray region is the mean ± 1 SD of the time when type 2 nodes appeared maximally bound in live cells. (E) Dependence of simulated time courses of type 2 nodes binding to type 1 nodes on the diffusion coefficient of type 2 nodes. The horizontal dashed line indicates when 50% (bottom line) and 80% (top line) of the type 2 nodes were bound. Vertical dashed line is the mean time that type 2 nodes were maximally bound in live cells. The gray region is the mean ± 1 SD. (F) Number of captured type 2 nodes out of 65 at the end of the simulation as a function of diffusion coefficient D (n = 100). (G) Mean positions in simulations of captured type 2 nodes relative to the center of the band of type 1 nodes at 0, which is 3 µm from the new cell tip (n = 100). Error bars are ± 1 SD.

Simulations of a mathematical model of a diffuse-and-capture mechanism to redistribute type 2 nodes from the old to the new division site. (A) Model of diffusing type 2 nodes being captured irreversibly (yellow) by stationary type 1 nodes (green) with a probability of binding pbind if they reside within a defined capture radius Rc at any time point. (B) Drawing of the observations of type 2 nodes (red) redistributing from their origin at the new end of the cell (x = 0) until they colocalize with type 1 nodes in a broad band near the center of the cell. Y is the circumference of the cell. (C) Graphical output of a diffuse-and-capture simulation at the time points indicated. In this simulation, 65 type 2 nodes (red) started at x = 0 and diffused with D = 400 nm2/s until they were captured (yellow) by passing within 60 nm of one of the 65 type 1 nodes (green) located in a Gaussian distribution across a band centered 3 ± 0.8 µm from the new cell tip. The probability of capture was 50%. The simulation used steps of 2 s. Bar, 1 µm. Time expressed in minutes from the beginning of simulation, which corresponds to t = ∼40 min from SPB separation. Also see Fig. S5 J, in which some of the data are displayed for visual comparison with Fig. 1 B. Bar, 2 µm. (D) 10 simulations of the time course of binding of type 2 nodes to type 1 nodes with the parameters used in C. The gray region is the mean ± 1 SD of the time when type 2 nodes appeared maximally bound in live cells. (E) Dependence of simulated time courses of type 2 nodes binding to type 1 nodes on the diffusion coefficient of type 2 nodes. The horizontal dashed line indicates when 50% (bottom line) and 80% (top line) of the type 2 nodes were bound. Vertical dashed line is the mean time that type 2 nodes were maximally bound in live cells. The gray region is the mean ± 1 SD. (F) Number of captured type 2 nodes out of 65 at the end of the simulation as a function of diffusion coefficient D (n = 100). (G) Mean positions in simulations of captured type 2 nodes relative to the center of the band of type 1 nodes at 0, which is 3 µm from the new cell tip (n = 100). Error bars are ± 1 SD.

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