Theory and Modern Applications
Table 1 The description of parameters
Parameter | Symbol | Value | Unit |
|---|---|---|---|
The growth rate of NC | \(r_{1}\) | 0.3 | day−1 |
The growth rate of TC | \(r_{2}\) | 0.4 | day−1 |
Logistic rate of NC | \(\mu _{1}\) | [0.05–0.2] | day−1 |
Logistic rate of TC | \(\mu _{2}\) | [0.5–0.95] | day−1 |
Logistic rate of IC | \(\mu _{3}\) | [0.05–0.2] | day−1 |
Carrying capacity of NC | \(K_{1}\) | 1.232 | day−1 |
Carrying capacity of TC | \(K_{2}\) | 1.75 | day−1 |
Carrying capacity of IC | \(K_{3}\) | [0.11, 1.17] | day−1 |
Constant rate of the ketogenic diet | d | 0.5 | day−1 |
Rate of inhibition of NC | \(\beta _{1}\) | 6 × 10−8 | day−1 |
TC death rate due to immune response | \(\beta _{2}\) | 3 × 10−6 | day−1 |
Interaction coefficient rate with immune response | \(\beta _{3}\) | 1 × 10−7 | day−1 |
The natural death rate of estrogen | \(\beta _{4}\) | 0.97 | day−1 |
Tumor formation rate as a result of DNA damage by excess estrogen | \(\phi _{1}\) | 0.2 | day−1 |
Immune suppression rate due to excess estrogen | \(\phi _{2}\) | 0.002 | day−1 |
Efficacy of the anti-cancer drug | k | 0–1 | day−1 |
Source rate of IC | ρ | 1.3 × 102 | day−1 |
Supplement of immune booster | γ | 0.01 | day−1 |
The death rate of TC due to the ketogenic diet | δ | 2 | day−1 |
Source rate of estrogen | ε | [0.6–3] | day−1 |