Table 2.

Calculated release constants, RMSE, SSE and average adjusted R-squared values for each kinetic model fitted to the DOX release data.

Trial	Zero-order	First-order	Higuchi	K–P
No LIPUS (37.0 °C )	$K_0=0.725$ $RMSE=2.342$ $SSE=27.41$	$K_1=0.021$ $RMSE=0.016$ $SSE=0.001$	$K_H=7.498$ $RMSE=0.536$ $SSE=1.436$	$K_{\mathit{KP}}=1.13$ $RMSE=0.074$ $SSE=0.022$
No LIPUS (43.4 °C )	$K_0=0.872$ $RMSE=4.154$ $SSE=86.27$	$K_1=0.037$ $RMSE=0.037$ $SSE=0.007$	$K_H=8.927$ $RMSE=1.432$ $SSE=10.25$	$K_{\mathit{KP}}=7.69$ $RMSE=0.031$ $SSE=0.005$
No LIPUS (37.0 & 43.4 °C )	$\overline{R_a^2}=0.962$	$\overline{R_a^2}=0.991$	$\overline{{\mathit{R}}_{\mathit{a}}^2}=$0.997	$\overline{R_a^2}=0.991$
With LIPUS (37.0 °C )	$K_0=0.880$ $RMSE=31.71$ $SSE=2.518$	$K_1=0.038$ $RMSE=0.057$ $SSE=0.016$	$K_H=8.931$ $RMSE=2.564$ $SSE=32.86$	$K_{\mathit{KP}}=7.00$ $RMSE=0.051$ $SSE=0.013$
With LIPUS (43.4 °C )	$K_0=0.735$ $RMSE=5.634$ $SSE=158.7$	$K_1=0.120$ $RMSE=0.218$ $SSE=0.191$	$K_H=7.692$ $RMSE=1.826$ $SSE=16.67$	$K_{\mathit{KP}}=33.3$ $RMSE=0.018$ $SSE=0.002$
With LIPUS (37.0 & 43.4 °C )	$\overline{R_a^2}=0.936$	$\overline{R_a^2}=0.953$	$\overline{R_a^2}=0.985$	$\overline{{\mathit{R}}_{\mathit{a}}^2}=$0.992

Significant values are in bold.