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. Author manuscript; available in PMC: 2022 Jun 22.
Published in final edited form as: J Biomech. 2019 Dec 19;100:109568. doi: 10.1016/j.jbiomech.2019.109568

Table 1:

Model parameters (dimensional)

Parameter Description Value Unit
Reference variables
T* Time 104 s
L* Length 10−2 m
u* Velocity 10−6 m/s
D* Diffusion 10−8 m2/s
ρ* ECM density 1 kg/m3
G* Protease 10−4 kg/m3
C* Chemokine 10−4 kg/m3
H* TGF 10−4 kg/m3
P* Pressure 104 Pa
ρM Maximum ECM density ρ* kg/m3
GM Maximum protease density 0.5G* kg/m3
CM Maximum chemokine density 0.3G* kg/m3
HM Maximum TGF density 0.5H* kg/m3
Material constants
DG diffusion coefficient of protease 8 · 10−12 m2/s
DC diffusion coefficient of chemokine 7 · 10−14 m2/s
DH diffusion coefficient of TGF 8 · 10−12 m2/s
Production/decay rates
λ 21 degradation of ECM 10 m3/kgs
λ 22 reconstruction of ECM 1.25 · 10−3 1/s
λ 23 release of ECM 0 1/s
λ 24 release of ECM 1.25 · 10−3 1/s
λ 31 decay of protease 2.5 · 10−3 1/s
λ 32 cell production of protease 2 · 10−6 kg/m3s
λ 33 logistic term constant (protease) 2 · 10−6 kg/m3s
νG exponent in logistic function of protease 1 -
λ 41 proteolytically freed chemokine 3.2 · 10−3 m3/kgs
λ 42 logistic term constant (chemokine) 1.44 · 10−4 m3/kgs
λ 43 logistic term constant (chemokine) 3.2 · 10−3 m3/kgs
λ 44 cell consumption of chemokine 1 · 10−9 1/s
νC exponent in logistic function of chemokine 0.2 -
λ 51 decay of TGF 1 · 10−5 1/s
λ 52 production of TGF 8.75 · 10−7 kg/m3s
λ 53 logistic term constant (TGF) 5.5 · 10−7 kg/m3s
λ 54 logistic term constant (TGF) 0 kg/m3s
λ 55 fibroblast consumption of TGF 2 · 10−6 1/s
νH exponent in logistic function of TGF 0.2 -
Potential function, chemokine
ξC parameter characterizing ΛC 8 · 104 m3/kg
ΛC0 parameter characterizing ΛC 0 Pa
ΛC1 parameter characterizing ΛC 2.5 · 104 Pa
Potential function, TGF
ξH parameter characterizing ΛH 1.6 · 105 m3/kg
ΛH0 parameter characterizing ΛH 0 Pa
ΛH1 parameter characterizing ΛH 2.5 · 104 Pa
Capillary pressure function
γ parameter characterizing ΔP 103 Pa
δ parameter characterizing ΔP 0.01 -