\begin{table}%t3
\caption{\label{modeldata}Source component parameters for the combined SSC and adiabatic expansion model of the 15, 17, and 19 May 2007 and the 26 May 2008 flares.}
\par
%\centerline
{\small
\begin{tabular}{lllclrrrrrrrrrr}
\hline\hline
Date & Model & Source   & $\Delta t$ &$v_{\rm exp}$ &$S_{\rm max,~obs}$&$\alpha_{\rm synch}$&$R_0$  &$\nu_{\rm max,~ obs}$ & $B$    &$S_{\rm NIR,~ synch}$ &$S_{\rm NIR,~ SSC}$  &$S_{\rm X-ray,~ SSC}$\\
     & label &          &    h  & in $c$   &[Jy]          &                &[$R_{\rm s}$]& [GHz]           & [G]  & [mJy]           &[mJy]           &[nJy]           \\
 \hline
$1~\sigma$ $\rightarrow$  &   &   & $\pm$1.0 &$\pm$0.001 &$\pm$0.1&$\pm$0.1 &$\pm$0.1 &$\pm$250 &$\pm$10&$\pm$1.0&$\pm$1.0 &$\pm$20 \\
 \hline
15 May 2007& A &$\alpha$&   0.0     & 0.007    & 0.6          & 0.85           & 1.3   & 340             & 33   &  3.1            &  $<$0.03       & $<$10  \\
           &   &$\beta$ &   0.0     &          & 0.3          & 0.60           & 0.3   & 840             & 29   &  12             &  $<$0.03       & $<$10  \\
           &   &$\gamma$&   0.30    &          & 0.3          & 0.75           & 0.2   & 840             & 32   &  5.6            &  $<$0.03       & $<$10  \\
           &   &        &           &          &              &                &       &                 &      &                 &                &           \\
15 May 2007& B &$\alpha$&   0.0     & 0.017    & 0.6          & 0.65           & 1.3   & 340             & 37   &  8.3            &  $<$0.02       & $<$40  \\
           &   &$\beta$ &   0.0     &          & 0.3          & 0.65           & 0.3   & 840             & 30   &  8.4            &  $<$0.02       & $<$40  \\
           &   &$\gamma$&   0.37    &          & 0.3          & 0.65           & 0.35  & 810             & 32   &  8.4            &  $<$0.02       & $<$40  \\
           &   &        &           &          &              &                &       &                 &      &                 &                &           \\
17 May 2007& A &$\alpha$&   0.0     & 0.010    & 1.0          & 1.00           & 0.8   &  840            & 66   &  4.7            &  $<$0.01       & $<$10  \\
           &   &$\beta$ &   0.45    &          & 0.5          & 0.97           & 0.3   & 1250            & 66   &  4.0            &  $<$0.01       & 15  \\
           &   &$\gamma$&  $-0.59$    &          & 1.3          & 1.11           & 1.0   &  840            & 69   &  3.2            &  $<$0.01       & $<$10  \\
           &   &$\delta$&  $-0.96$    &          & 0.5          & 1.02           & 0.3   & 1250            & 68   &  3.2            &  $<$0.01       & 12  \\
           &   &        &           &          &              &                &       &                 &      &                 &                &           \\
17 May 2007& B &$\alpha$&   0.0     & 0.011    & 0.25         & 0.70           & 0.2   & 1360            & 86   &  8.1            &  $<$0.01       & 19  \\
           &   &$\beta$ &   0.36    &          & 0.25         & 0.70           & 0.2   & 1360            & 86   &  8.1            &  $<$0.01       & 19  \\
           &   &$\gamma$&  $-0.69$    &          & 0.17         & 0.70           & 0.2   & 1360            & 65   &  5.1            &  $<$0.01       & 21  \\
           &   &$\delta$&  $-1.05$    &          & 0.17         & 0.70           & 0.2   & 1360            & 65   &  5.1            &  $<$0.01       & 21  \\
           &   &$\epsilon$&$-0.33$    &          & 1.75         & 1.05           & 1.6   &  570            & 68   &  7.1            &  $<$0.01       & $<$2  \\
           &   &        &           &          &              &                &       &                 &      &                 &                &           \\
19 May 2007& A &$\alpha$&   0.0     & 0.007    & 1.30         & 1.07           & 1.0   & 1360            & 67   &  3.5            &  $<$0.01       & $<$10  \\
           &   &$\beta$ &   2.50    &          & 1.10         & 1.10           & 0.8   & 1360            & 67   &  0.5            &  $<$0.01       & $<$10  \\
           &   &$\gamma$&   2.90    &          & 1.10         & 1.10           & 0.8   & 1360            & 67   &  0.5            &  $<$0.01       & $<$10  \\
           &   &        &           &          &              &                &       &                 &      &                 &                &           \\
19 May 2007& B &$\alpha$&   0.0     & 0.017    & 1.33         & 1.13           & 1.0   &  720            & 68   &  2.5            &  $<$0.01       & $<$10  \\
           &   &$\beta$ &   0.50    &          & 1.33         & 1.09           & 1.0   &  720            & 67   &  3.1            &  $<$0.01       & $<$10  \\
           &   &$\gamma$&   2.85    &          & 1.50         & 1.30           & 0.8   &  820            & 72   &  1.2            &  $<$0.02       & $<$10  \\
           &   &$\delta$ &   3.30    &          & 1.50         & 1.30           & 0.8   &  850            & 72   &  1.2            &  $<$0.02       & $<$10  \\
           &   &        &           &          &              &                &       &                 &      &                 &                &           \\
26 May 2008& A &$\alpha$&   0.0     & 0.005    & 1.1          & 0.68           & 0.5   & 1090            & 30   &  31             &  $<$0.02       & 41  \\
           &   &$\beta$ &  $-0.45$    &          & 1.0          & 0.68           & 0.5   & 1090            & 40   &  26             &  $<$0.02       & 18  \\
           &   &$\gamma$&   0.52    &          & 1.0          & 0.83           & 0.5   & 1030            & 31   &  15             &  $<$0.02       & 17  \\
           &   &$\delta$&   1.03    &          & 1.0          & 0.80           & 0.5   & 1160            & 34   &  17             &  $<$0.03       & 23  \\
           &   &$\epsilon$& 1.48    &          & 0.8          & 0.77           & 0.5   & 1160            & 48   &  16             &  $<$0.01       & $<$10  \\
           &   &$\zeta$ &   1.90    &          & 0.8          & 0.77           & 0.5   & 1160            & 48   &  16             &  $<$0.01       & $<$10  \\
           &   &        &           &          &              &                &       &                 &      &                 &                &           \\
26 May 2008& B &$\alpha$&   0.0     & 0.007    & 1.4          & 0.70           & 0.6   & 1090            & 44   &  39             &  $<$0.02       & 24  \\
           &   &$\beta$ &  $-0.40$    &          & 1.3          & 0.70           & 0.6   & 1090            & 56   &  35             &  $<$0.02       & 13  \\
           &   &$\gamma$&   0.52    &          & 1.1          & 0.77           & 0.6   & 1030            & 36   &  23             &  $<$0.02       & 18  \\
           &   &$\delta$&   1.03    &          & 1.3          & 0.80           & 0.5   & 1160            & 33   &  23             &  $<$0.04       & 33  \\
           &   &$\epsilon$& 1.48    &          & 1.0          & 0.77           & 0.5   & 1160            & 58   &  20             &  $<$0.01       & $<$10  \\
           &   &$\zeta$ &   1.90    &          & 1.0          & 0.73           & 0.5   & 1160            & 56   &  24             &  $<$0.01       & $<$10  \\
 \hline 
\end{tabular}}
\tablefoot{Labels A and B refer to models with lower and higher expansion velocities, respectively. The flare times $\Delta t$ are given with respect to the peak of the brighter NIR flares. In addition to $v_{\rm exp}$, the $R_0$ values are responsible for the position and width of the infrared flare peaks in time. Different values for $\alpha_{\rm synch}$ are required to match the infrared flux densities.}\vspace*{3.6mm}
\end{table}