Theory and Modern Applications
Table 2 Parametric values used in the model simulations shown in Figures 3 - 5
Parameter | Meaning | Value (Figure 5 ) | Unit | |
|---|---|---|---|---|
\(d_{1}\) | Reaction rate constant in (1) | 1.520 × 104 | 1.520 × 103 | \(\mbox{g}^{-1}~\mbox{cm}^{3}~\mbox{wk}^{-1}\) |
\(d_{2}\) | Variation constant in (2) | 1.429 | 0.8024 | \(\mbox{g}^{-1}~\mbox{cm}^{3}~\mbox{wk}^{-1}\) |
\(d_{O}\) | Degradation rate of \(L_{O}\) | 6.048 × 10−1 | 0.01 | wk−1 |
\(d_{M}\) | Death rate of M | 6.048 × 10−1 | 0.01 | wk−1 |
\(d_{F}\) | Death rate of F | 4.285 × 10−3 | 0.25 | wk−1 |
\(d_{C}\) | Degradation rate of \(C_{O}\) | 0.01 | 0.01 | wk−1 |
\(d_{c}\) | Degradation rate of \(C_{M}\) | 0.01 | 0.1 | wk−1 |
\(d_{S}\) | Intrinsic death rate of S | 1.08 | 0.1 | wk−1 |
\(d_{E}\) | Removal rate of E | 0.5 | 0.05 | wk−1 |
\(k_{c}\) | Saturation constant of migration | 10−4 | 10−2 | wk−1 |
\(m_{s}\) | Removal rate of S to form E | 1.68 | 0.5 | wk−1 |
\(s_{1}\) | Production rate of \(C_{O}\) | 6.05 × 10−3 | 1.520 × 103 | wk−1 |
\(s_{2}\) | Immigration rate of M fostered by \(C_{O}\) | 10.2 | 0.8024 | wk−1 |
\(s_{3}\) | Production rate of \(C_{M}\) | 0.1814 | 0.01 | wk−1 |
\(s_{4}\) | Proportionality constant in production rate of S due to migration | 1.814 | 0.01 | wk−1 |
\(s_{5}\) | Variation constant in production rate of E | 6.0 | 0.25 | wk−1 |
\(R_{f}\) | Number of free radicals in oxidation process | 0.02772 | 0.01 | mg/ml |
α | Fraction of \(M L_{O}\) that goes into E production | 0.5 | 0.6 | - |
β | Fraction of \(M L_{O}\) that goes into F production | 0.5 | 0.4 | - |
μ | Proportionality constant in (8) | 6.05 | 0.00238 | wk−1 |
ρ | Migration rate of S at vanishing \(C_{M}\) | 7.5 | 0.001 | \(\mbox{g}^{-1}~\mbox{cm}^{-3}~\mbox{wk}^{-1}\) |
σ | Growth rate of \(L_{l}\) | 2.016 × 103 | 2.016 × 103 | \(\mbox{g}^{-1}~\mbox{cm}^{-3}~\mbox{wk}^{-1}\) |
p | Proliferation rate of S | [1.700,1.765] | 0.4 | wk−1 |