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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=a−b