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. Author manuscript; available in PMC: 2013 Jun 19.
Published in final edited form as: Int J Comput Healthc. 2012 Jan 1;1(3):214–228. doi: 10.1504/IJCIH.2012.046995

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)
β1=1τ1{Ω2G0G0+1Ω2}
β2 Decay rate (growth factor)
β1=1τ1{Ω2G0G0+1Ω2}
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:

a

From Saha et al. (2005), as derived from Wilson et al. (2002);