Table 1 ODE models of tumor growth
From: Differences in predictions of ODE models of tumor growth: a cautionary example
Model | Equation |
|---|---|
Exponential | \({\dot {V}=a V}\) |
Mendelsohn | \({\dot {V}=a V^{b}}\) |
Logistic | \({\dot {V}=a V \left (1-\frac {V}{b}\right)}\) |
Linear | \({\dot {V}= \frac {aV}{(V+b)}}\) |
Surface | \({\dot {V}= \frac {aV}{(V+b)^{\frac {1}{3}}}}\) |
Gompertz | \({\dot {V}=aV\ln {\frac {b}{(V+c)}}}\) |
Bertalanffy | \({\dot {V}=aV^{\frac {2}{3}}-bV}\) |