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\section*{Model A PDF for 2 growth rates:}
\EQ
\dd{\cal E}/\dd t=\left[{\lambda_1\over1+{\cal E}/{\cal E}_1}+{\lambda_2\over1+{\cal E}/{\cal E}_2}\right]{\cal E}
\EN

\section*{Overlaying model A solution on the simulation data}
\begin{figure}[h!]\begin{center}
\includegraphics[width=.9\columnwidth]{fig/simfit1}
\end{center}\caption[]{Model A - red lines, sim data - black line. The bottom panels show growth rate curves.
$\lambda_1=0.17$, $\lambda_2=0.05$, ${\cal E}_1=$1e-5, ${\cal E}_2=$7e-3.
}\label{pencil}\end{figure}

\newpage 

\section*{Model B PDF for 2 growth rates:}
\EQ
\dd{\cal E}/\dd t=\left[{\lambda_1\over1+{\cal E}^2/{\cal E}^2_1}+{\lambda_2\over1+{\cal E}^2/{\cal E}^2_2}\right]{\cal E}
\EN

\section*{Overlaying model B solution on the simulation data}
\begin{figure}[h!]\begin{center}
\includegraphics[width=.9\columnwidth]{fig/simfit2}
\end{center}\caption[]{Model B - red lines, sim data - black line. The bottom panels show growth rate curves.
$\lambda_1=0.17$, $\lambda_2=0.05$, ${\cal E}_1=$3e-5, ${\cal E}_2=$7e-3.
}\label{pencil}\end{figure}

\newpage 

\section*{Solutions from Model A, keeping ${\cal E}_2/{\cal E}_1=10^2$ fixed}
\begin{figure}[h!]\begin{center}
\includegraphics[width=.8\columnwidth]{fig/pcomp}
\end{center}\caption[]{
${\cal E}_2/{\cal E}_1=10^2$ and $\lambda_2/\lambda_1=0.1$, 0.2, 0.3, 0.4, 0.6, and 0.8
}\label{pencil}\end{figure}

\section*{Solutions from Model A, keeping $\lambda_2/\lambda_1=0.3$ fixed}
\begin{figure}[h!]\begin{center}
\includegraphics[width=.8\columnwidth]{fig/pcomp2}
\end{center}\caption[]{
${\cal E}_2/{\cal E}_1=10$, 30, 100, and 300, and $\lambda_2/\lambda_1=0.3$.
}\label{pencil}\end{figure}

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