Research Article

Self-Organization of Motor-Propelled Cytoskeletal Filaments at Topographically Defined Borders

Figure 6

Radial filament distributions simulated for motor-propelled filaments. (a) The effect of radius ( 𝑅 ) of motility supporting region on the radial distribution of filaments. 𝐿 𝑝 = 1 0 μm, 𝑉 𝑓 = 1 0 μm/s, Δ 𝑡 = 0 . 0 1  s. Note, a small linear increase in filament number with increased radius related to the increase of circumference. Edge-tracing effect corresponds to steep increase (in excess of the linear change) in number of filaments at periphery, for example, to the right of the dashed blue line for 𝑅 = 2 0 μm. Inset: part of diagram at the origin shown in greater detail. (b) The data in A, replotted with the radial position normalized to the radius of the motility supporting region. (c) Radial filament distributions for different 𝐿 𝑃 𝑅 combinations ( 𝑣 𝑓 = 1 0 μm/s and Δ 𝑡 = 0 . 0 1  s). Note, increased edge-tracing with reduced 𝑅 / 𝐿 𝑃 ratio. That is, under these conditions, the edge peak in filament number is shifted outwards and has increased amplitude relative to the expected linear increase for all radial distances. (d) Radial filament distributions for different sliding velocities ( 𝑅 = 2 0 μm, 𝐿 𝑃 = 1 0 μm and Δ 𝑡 = 0 . 0 1  s). Distributions obtained during time periods over which no apparent time dependence of the distributions was noted. The unrealistically low value of 𝐿 𝑃 = 2 μm (compared to actin filaments and microtubules) was included in (c) to more clearly illustrate the effect of altered 𝑅 / 𝐿 𝑃 ratio.
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