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. 2018 Feb 2;8:2323. doi: 10.1038/s41598-018-20739-w

Table 1.

Reference values for ligament material parameters. In the spring and FRPHE models, the adjusted values are the fibril network modulus values after matching the first peak of the tibiofemoral joint reaction force with the rest of the knee models.

Material formulation ACL PCL MCL LCL PT QT
Spring
Initial
k (Nmm−1) 201 258 114 134 545 475
Adjusted
k (Nmm−1) 100 129 57 67 545 475
Linear Elastic
E (MPa) 123 168 224 280 336 370
ν 0.4 0.4 0.4 0.4 0.4 0.4
Hyperelastic (Neo-Hookean)
C1 (MPa) 22 30 40 50 60 66
D (MPa−1) 0.005 0.0036 0.003 0.0021 0.002 0.002
Porohyperelastic
C1 (MPa) 22 30 40 50 60 66
D (MPa−1) 0.005 0.0036 0.003 0.0021 0.002 0.002
k0 (10−15 m4/Ns) 2.9 2.9 2.9 2.9 2.9 2.9
M 7.98 7.98 7.98 7.98 7.98 7.98
Fibril-reinforced porohyperelastic (FRPHE)
Initial
Ef (MPa) 130 180 270 280 184 380
Adjusted
Ef (MPa) 100 40 120 100 150 150
Unchanged values
Em (MPa) 1 1 1 1 10 10
νm 0.4 0.4 0.4 0.4 0.4 0.4
k0 (10−15 m4/Ns) 2.9 2.9 2.9 2.9 2.9 2.9
M 7.98 7.98 7.98 7.98 7.98 7.98
C 12 12 2 2 2 2

ks = spring constant, E = Young’s modulus, ν = Poisson’s ratio, C1 = material coefficient, D = compressibility coefficient, k0 = initial permeability, M = exponential term for the strain-dependent permeability, Em = nonfibrillar matrix modulus, Ef = fibril network modulus, νm = Poisson’s ratio of the nonfibrillar matrix, C = density ratio between primary and secondary fibrils.