Table 2. Nomenclature and parametric input values of the presented mathematical model as derived here and extracted from the literature.
Parameter | Description | Relation or value | |
---|---|---|---|
α1 | Synthesis rate (cytokine) | α1 = 0.048 + β1 | |
α2 | Synthesis rate (growth factor) | α2 = 0.048 + β2 | |
β1 | Decay rate (cytokine) |
|
|
β2 | Decay rate (growth factor) |
|
|
λ1 | Synthesis rate (GAG) | 5.474 × 10−3 [a] | |
λ2 | Synthesis rate (collagen) | 5.400 × 10−2 [a] | |
δ1 | Decay rate (GAG) | 1.264 × 10−4 [a] | |
δ2 | Decay rate (collagen) | 1.108 × 10−3 [a] | |
Ω1 | Threshold value (growth factor) | C0 − 1 < Ω1 < C0 | |
Ω2 | Threshold value (cytokine) | G0 < Ω2 < G0 + 1 | |
τ1 | Characteristic time (cytokine) | 20.704 weeks [b] | |
τ2 | Characteristic time (growth factor) | 22.897 weeks [b] |
Note: Concentration values are in relative units (normalised by steady state saturation and scaled for plotting) and kinetic rates (synthesis or decay) are per time (in weeks).
Source:
From Saha et al. (2005), as derived from Wilson et al. (2002);
From Li et al. (2002)