From: Differences in predictions of ODE models of tumor growth: a cautionary example
Model | Maximum | Minimum concentration |
---|---|---|
size | needed to cure | |
Exponential | ∞ | C _{0}=a |
Mendelsohn | \(\left (\frac {C_{0}}{a}\right)^{\frac {1}{b-1}}\) | C _{0}=a |
Logistic | \(\frac {b(a - C_{0})}{a}\) | C _{0}=a |
Linear | \(\frac {a}{C_{0}} - b\) | \(C_{0}= \frac {a}{b}\) |
Surface | \(\frac {a^{3}}{C_{0}} - b\) | \(C_{0}=\frac {a}{b^{\frac {1}{3}}}\) |
Gompertz | \(\frac {b}{e^{\frac {C_{0}}{a}}} - c\) | \(C_{0}=a\ln \left (\frac {b}{c}\right)\) |
Bertalanffy | \(\left (\frac {a}{b+C_{0}}\right)^{3}\) | C _{0}=a−b |