## 3 Results and Discussions
### Response Surface Methodology (RSM) Analysis
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Raw Material** & \multicolumn{3}{c}{**Potynomial Equation**} & \(\mathbf{R^{2}}\) \\ \hline \multirow{3}{*}{Peel} & 35.3989 \(-\) 0.6829X\({}_{\mathrm{Sa}}\) + 0.0042 X\({}_{\mathrm{Sa}}\)\({}^{2}\) – 69.6346X\({}_{\mathrm{PC}}\) + 27.3493X\({}_{\mathrm{PC}}\)\({}^{2}\) – 0.4419X\({}_{\mathrm{ET}}\) + & \\  & 0.0341X\({}_{\mathrm{ET}}\)\({}^{2}\) + 1.4082 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.20 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.0082 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\) \({}^{-}\) 0.0082 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\) \({}^{-}\) & 0.98 \\  & 0.0107 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) + 0.001 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) + 0.0122X\({}_{\mathrm{PC}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) & \\ \hline \multirow{3}{*}{Seeds} & 2.4056 \(+\) 0.0607 X\({}_{\mathrm{Sa}}\) + 0.0005X\({}_{\mathrm{PC}}\) + 0.0742X\({}_{\mathrm{MC}}\)\({}^{\star}\) + 1.7927X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.497X\({}_{\mathrm{ET}}\) + & \\  & 0.0036X\({}_{\mathrm{ET}}\) + 1.0073X\({}_{\mathrm{Na}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\) + 0.0443 X\({}_{\mathrm{MC}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\)\({}^{2}\) + 0.00110 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\) \({}^{+}\) & 0.88 \\  & 0.0055 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) - 0.000 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{EC}}\) + 0.233X\({}_{\mathrm{PC}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) & \\ \hline \multirow{3}{*}{Columella} & \(-\)0.66319 \(+\) 0.03356 X\({}_{\mathrm{Sa}}\) \(-\) 0.00018 X\({}_{\mathrm{Sa}}\)\({}^{\star}\) + 3.93642X\({}_{\mathrm{TC}}\) \({}^{-}\) 4.2610X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.0670X\({}_{\mathrm{ET}}\) & \\  & + 0.00727X\({}_{\mathrm{TE}}\)\({}^{-}\) 0.02885 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\) + 0.05652 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.00025 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\) \({}^{-}\) & 0.88 \\  & 0.00339 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) + 0.00003 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) + 0.01257X\({}_{\mathrm{PC}}\)\({}^{-}\)X\({}_{\mathrm{ET}}\) & \\ \hline \multirow{3}{*}{Pulp} & 1.5584 \(+\) 0.01X\({}_{\mathrm{Sa}}\) \(-\) 0.00 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\)\({}^{-}\) 8.54X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.682X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.06X\({}_{\mathrm{ET}}\)\({}^{+}\) & \\  & 0.0386 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.0923 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{PC}}\)\({}^{-}\) 0.001 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) + 0.001 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) + 0.003 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) \({}^{-}\) & 0.97 \\  & 0.00 X\({}_{\mathrm{Sa}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) + 0.0688X\({}_{\mathrm{PC}}\)\({}^{\star}\)X\({}_{\mathrm{ET}}\) & \\ \hline \hline \end{tabular}  
* \(X_{\mathrm{Sa}}\) = S sonication amplitude (%). \(X_{\mathrm{PC}}\) = Pulses-cycles (s). \(X_{\mathrm{TE}}\) = Extraction time (min). R\({}^{2}\) = Regression coefficient.  
\end{table} 
Table 2: Predicted mathematical model for the extraction of total alkaloids (mg/g DW) from the peel, seed, columella, and pulp from _Anoma muricata_ after the UAE.