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Table 3 Model predictions in the presence of chemotherapy

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=ab