TABLE 1.
Parameter | Definition | Base value |
---|---|---|
ɛ† | Characteristic cell dimension | 0.03 mm |
α | Maximum receptor/PI 3-kinase ratio | 10 |
κ | Dimensionless KD, PI 3-kinase recruitment | 0.1 |
m0 | Dimensionless 3′ PI density, unstimulated | 0.1 |
ks | Normalized PDGF secretion rate in the clot | 1 h−1 |
Du | PDGF diffusion coefficient in tissue | 0.01 mm2/h* |
ku | Rate constant, spontaneous PDGF degradation | 0.1 h−1 |
kv | Rate constant, fibroblast-mediated PDGF depletion | 1 h−1* |
μm | Rate constant, maximal fibroblast growth | 0.05 h−1 |
γ | Dimensionless saturation constant, fibroblast growth | 0.1 |
v* | Dimensionless, contact-inhibited fibroblast density | 10 |
n | Contact inhibition sensitivity parameter | 3 |
kd | Rate constant, fibroblast death | 0.01 h−1 |
v0 | Dimensionless resting cell density, clot (dermis) | 1 (0) |
Dv* | Maximum fibroblast dispersion coefficient | 3 × 10−4 mm2/h* |
Stax*† | Maximum chemotactic cell speed | 0.1 mm/h* |
The values of these parameters are discussed in Appendix C.
The product of these two parameters may be lumped as one in this model.