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 | - |