\begin{table}
\caption{\label{check}Model results leaving as free parameters using 
 $M_{\rm dust}/M_{\oplus}$, $R_{\rm in}$ 
 and $a_{\rm min}$ for 6 different outer radii: 1000, 500, 300, 150, 100 and 50~AU.} 
\par
%\centering
\par
\begin{tabular}{rrrrrrr}
\hline
\hline
\multicolumn{7}{c}{HD~104860}\\
\multicolumn{1}{c}{$R_{\rm OUT}$} &
\multicolumn{1}{c}{1000~AU} &
\multicolumn{1}{c}{500~AU} &
\multicolumn{1}{c}{300~AU} &
\multicolumn{1}{c}{150~AU} &
\multicolumn{1}{c}{100~AU} &
\multicolumn{1}{c}{50~AU} \\
\hline
$M_{\rm dust}/M_{\oplus}$& $5.843\pm0.652$& $2.930\pm0.245$
&1.774 0.133   & $0.082\pm0.007$ &$0.053\pm0.005$  & $0.039\pm0.004$\\
$R_{\rm in}$ [AU]& $185\pm 23$    & $20.3\pm7.8$     &   $20\pm7$    &   $21\pm5$	&$22\pm2$&$30\pm3$\\
 $a_{\rm min}$ [$\mu$m]  & $0.07\pm0.03$  & $4.5\pm0.9$  &   $6\pm2$      &   $8\pm5$	&$11\pm2$	&	$21\pm4$\\
$\chi^2_{\rm red.}$   &   6.1  &  7.0 &  4.1 &   2.6&2.7&	3.0\\
  \hline
\multicolumn{7}{c}{HD~8907}\\
\multicolumn{1}{c}{$R_{\rm OUT}$} &
\multicolumn{1}{c}{1000~AU} &
\multicolumn{1}{c}{500~AU} &
\multicolumn{1}{c}{300~AU} &
\multicolumn{1}{c}{150~AU} &
\multicolumn{1}{c}{100~AU} &
\multicolumn{1}{c}{60~AU} \\
\hline
 $M_{\rm dust}/M_{\oplus}$   & $3.097\pm184$ & $1.614\pm0.099$       &$0.931\pm0.050$ &	$0.040\pm0.005$	&	$0.024\pm0.002$	&	$0.017\pm0.003$\\
  $R_{\rm in}$ [AU]	     & $89\pm14$     & $29\pm14$             &$19.4\pm5.4$    &	$27\pm17$	&	$27\pm7$	&	$41\pm15$\\
$a_{\rm min}$ [$\mu$m]	     & $0.5\pm0.08$  & $3.1\pm0.8$           &$5.6\pm1.1$     &	$6\pm2$		&	$8\pm2$		&	$7.7\pm2.6$\\
         $\chi^2_{\rm red.}$ 	     & 22.8          &  17.8                 &9.2             &	4.3		&3.6	&3.5\\
 \hline
\multicolumn{7}{c}{HD~377}\\
 \multicolumn{1}{c}{$R_{\rm OUT}$} &
 \multicolumn{1}{c}{1000~AU} &
 \multicolumn{1}{c}{500~AU} &
 \multicolumn{1}{c}{300~AU} &
 \multicolumn{1}{c}{150~AU} &
 \multicolumn{1}{c}{100~AU} &
 \multicolumn{1}{c}{60~AU} \\
 \hline
 $M_{\rm dust}/M_{\oplus}$  & $3.655\pm0.507$ & $2.649\pm0.322$  & $1.339 \pm0.367$&      $0.058\pm0.013$     &	            $0.034\pm0.006$     &	            $0.039\pm0.012$\\
$R_{\rm in}$ [AU]	    & $70\pm12$ & $4.6\pm1.1$  &$4.6\pm0.65$& $6.1\pm0.8$	&	$38\pm8$	&	$51\pm8$\\
 $a_{\rm min}$ [$\mu$m]	    & $0.02\pm0.001$ & $6.5\pm1.5$  &$9.1\pm3.5$& $14\pm5$   &$14\pm4$&$38\pm20$\\
 $\chi^2_{\rm red.}$ & 8.6      &  7.7 &4.6& 5.0&395.&395.\\
 \hline
\end{tabular} 
 \end{table}