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\begin{equation}  Gompertz Fit Equation - \dot{V}=aV\ln\left(\frac{b}{V+c}\right)  \end{equation}  Bertalanffy Fit Equation - \begin{equation}  \dot{V}=aV^{\frac{2}{3}}-bV  \end{equation} \begin{equation}\dot{V}=aV^{\frac{2}{3}}-bV\end{equation}  In order to understand what the equations mean, firstly we define $\dot{V}$, the tumor cell population growth rate. Setting $V$ as the tumor cell population, we define:  \begin{equation}\dot{V}=\frac{dV}{dt}\end{equation}  It isn't necessary to use $\dot{V}$ instead of $\frac{dV}{dt}$, but is helpful when writing out the equations. Each variable in these equations has some effect on the tumor growth. One example is $\lambda$, the "intrinsic growth rate" of the tumor. Another is $a$, a placeholder for an exponent. Then $K$ is the "carrying capacity" of the tumor, and $b$ is shorthand for $\frac{1}{K}$, the inverse of the carrying capacity. 
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