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\section{Methods}  \subsection{Models}  \noindent  \makebox[0pt][l]{\emph{Exponential} Fit Equation}%  \makebox[\textwidth][c]{$\dot{V}=\lambda V$}%  \\  \\  \noindent  \makebox[0pt][l]{\emph{Power Rule} Fit Equation}%  \makebox[\textwidth][c]{$\dot{V}=\lambda V^{a}$}%  \\  \\  \noindent  \makebox[0pt][l]{\emph{Logistic} Fit Equation}%  \makebox[\textwidth][c]{$\dot{V}=\lambda V\left ( 1-\frac{V}{K} \right )$}%  \\  \\  \noindent  \makebox[0pt][l]{\emph{Linear} Fit Equation}%  \makebox[\textwidth][c]{$\dot{V}=\frac{aV}{V+b}$}%  \\  \\  \noindent  \makebox[0pt][l]{\emph{Surface} Fit Equation}%  \makebox[\textwidth][c]{$\dot{V}=\frac{aV}{(V+b)^{\frac{1}{3}}}$}%  \\  \\  \noindent  \makebox[0pt][l]{\emph{Gompertz} Fit Equation}%  \makebox[\textwidth][c]{$\dot{V}=aV\ln \left ( \frac{b}{V+c} \right )$}%  \\  \\  \noindent  \makebox[0pt][l]{\emph{Bertalanffy} Fit Equation}%  \makebox[\textwidth][c]{$\dot{V}=aV^{\frac{2}{3}}-bV$}%  \subsection{Data Selection}  \subsection{Fitting Procedure}   After selecting the data, we fit each model to the data sets we gathered. For each of the seven models we tested, we gave each parameter the ability to change freely in a way so that the Sum of Squared Residuals was normalized and then minimized between the data and the curve. The normalization of the SSR values served the purpose of preventing the larger values at the end of data sets from being weighted more than those at the beginning. Without this normalization, many curves fit only to the initial and final points, while the data contained within these values were ignored by the minimization of the SSR function. The normalization applied an inverse square law to the SSR values so that the data contained in later values was reduced by a great amount and the data contained in early values was reduced by a small amount. The data as represented on our graphs was not normalized, only the SSR values that correspond to each point were.  
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