Figure 2. Behavior of model with asymmetric strain-dependent detachment.

(a) Time series of filament coordinate y for varying N. (b) dependency on N. Both (a,b) exhibit directionality transitions with increasing N. The upper and bottom dashed lines in (b) indicate theoretical estimates for N = 1 and for a sufficiently large N, respectively. (c,d) show the x distribution P(x) for N = 1 and 100, respectively. The lines and dots represent theoretical estimates and simulation results, respectively. In the inset, the difference in P(x) for x > 0 and x < 0, i.e., P(x) − P(−x), is plotted to make the asymmetry in P(x) clearer. The following parameters are used: v₀ = −100 [nm/s]; D_x = 3 × 10⁴ [nm²/s]; D_y = 4 × 10⁴ [nm²/s]; κ = 1000 [s⁻¹] (k = 0.1 [pN/nm] and γ_y = 10⁻⁴ [pN · s/nm]); Δ₊ = 64 [nm]; Δ₋ = 48 [nm]; r = 20 [s⁻¹]; ; and a₀ = 90 [s⁻¹].