(Upper) Cartoon of a side view of the model. Adhesive substrate (triangles), membrane (black circles), integrin bonds (blue lines), plus end of filament (green circle). (Lower) Snapshot of top view for M = N = 10: red lines are integrin bonds, which connect the membrane (red dot) to adhesion sites (blue crosses). The green line represents the plus ends of the filaments (“cortex”).
Average strain L k along a membrane coordinate k/M for M = 640, and various polymerization parameters p and adhesion strengths ɛ. (Inset) L k versus k/M for ɛ = 1, p = 1.0 and two different membrane sizes, M = 40, 2560.
Average strain F k of integrin-substrate bonds along a membrane (M = 640) for various rate parameters p, and adhesion strengths ɛ.
Stretching of membranes measured by the scaled end-to-end distance L/M as function of drag velocity pM for polymerization parameters 0.001 ⩽ p ⩽ 1, adhesion strengths ɛ = 0, 1, 2, 4, 6, and membrane sizes 20 ⩽ M ⩽ 2560.
RMSD dy(t) of an adherent membrane (M = 160, ɛ = 6, p = 0.1).
Location of integrin bonds, S k (t), at membrane site k as function of time for k = 1 (LE), k = M (TE), and k = M/2 (parameters: M = 160, ɛ = 6, p = 0.1).
Average life time, τ k , of integrin bonds at membrane row k.
Integrin life times, τ1 and τ M as function of adhesion strength ɛ (parameters: p = 1.0, 0.1, 0.01, 0.001, and M = 160).
Log-log plot of scaled drift velocities v of membranes as function of drag pM. Parameters: 0.001 ⩽ p ⩽ 1; 20 ⩽ M ⩽ 2560; ɛ = 0, 1, 2. The broken line is . The inset shows a semi-log plot of the data for ɛ = 0 in order to illustrate the inflection point of the curve.
Finite size crossover scaling for RMSD of L(t). Parameters: p = 0.1; M = 40, 80, 160, 320; ɛ = 0, 6. (Upper inset) Exponent α as function of ɛ. (Lower inset) dL(t) versus t/M for ɛ = 6.
Scaled RMSD dy(t) for leading edge (LE) and trailing edge (TE) versus scaled time t/M and t/M γ, respectively. (Inset): Exponent γ as function of ɛ (parameters: p = 0.1; ɛ = 0, 6; M = 40, 80, 160, 320).
End-to-end distance, L(t) of the membrane (parameters: M = 160, p = 0.1).
Scaled drift velocity v of membranes as function of p 1/γ M. Parameters: 0.001 ⩽ p ⩽ 1; 20 ⩽ M ⩽ 2560; ɛ = 0, 1, 2, 4, 6. The exponent γ used for each ɛ = 0, 1, 2, 4, 6 is γ = 1, 1.05, 1.15, 1.25, 1.3, respectively.
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