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. Author manuscript; available in PMC: 2018 Mar 15.
Published in final edited form as: Acta Biomater. 2017 Jan 5;51:220–236. doi: 10.1016/j.actbio.2016.12.038

Table 3.

Fiber stiffness amplification and interaction as a function of surrounding PAM gel stiffness. PAM gel stiffness is the first column is a group label with “target” stiffness, actual stiffness of the impregnating environment is listed in Table 1. A substantial increase in apparent fiber stiffness was observed with the impregnation of stiffer PAM gel surrounding the fibers. A stiffer surrounding environment also promotes higher magnitude interactions in between fibers.

PAM shear modulus
μm (kPa)
n fiber stiffness amplification
χ(μm) (fold increase)
fiber-fiber interaction
ηintm) (kPa)
0.0 4 4.4464 ± 0.6258 7,380.929 ± 20.847
3.8 4 3.1138 ± 0.3442 4,840.594 ± 954.413
8.0 5 3.8214 ± 1.1133 6,272.003 ± 2,586.152
12.0 5 5.6812 ± 0.8528 10,267.599 ± 2,021.273
19.0 3 6.4451 ± 0.5180 10,182.950 ± 1,180.192
24.0 3 13.2459 ± 1.7264 21,514.210 ± 3,289.930
42.0 3 14.5941 ± 2.9029 24,549.547 ± 3,545.079
48.0 3 20.7062 ± 1.3833 42,399.357 ± 3,439.207

χ(μm) = 3.4902 e0.0374μm ηintm) = 5559.7 e0.0405μm
R2 = 0.88587 R2 = 0.88734