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Crawling of a driven adherent membrane
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10.1063/1.4757664
/content/aip/journal/jcp/137/14/10.1063/1.4757664
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/14/10.1063/1.4757664
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(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”).

Image of FIG. 2.
FIG. 2.

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.

Image of FIG. 3.
FIG. 3.

Average strain F k of integrin-substrate bonds along a membrane (M = 640) for various rate parameters p, and adhesion strengths ɛ.

Image of FIG. 4.
FIG. 4.

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.

Image of FIG. 5.
FIG. 5.

RMSD dy(t) of an adherent membrane (M = 160, ɛ = 6, p = 0.1).

Image of FIG. 6.
FIG. 6.

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).

Image of FIG. 7.
FIG. 7.

Average life time, τ k , of integrin bonds at membrane row k.

Image of FIG. 8.
FIG. 8.

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).

Image of FIG. 9.
FIG. 9.

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.

Image of FIG. 10.
FIG. 10.

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.

Image of FIG. 11.
FIG. 11.

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).

Image of FIG. 12.
FIG. 12.

End-to-end distance, L(t) of the membrane (parameters: M = 160, p = 0.1).

Image of FIG. 13.
FIG. 13.

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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/content/aip/journal/jcp/137/14/10.1063/1.4757664
2012-10-12
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Crawling of a driven adherent membrane
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/14/10.1063/1.4757664
10.1063/1.4757664
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