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The coupled model equations were solved iteratively.
The model equations were solved numerically.
The model equations were solved using two independent methods.
Two quadratic mathematical model equations were derived for predicting the surface area and particle size.
Predicted values of responses obtained using model equations were in good agreement with the experimental values.
The model equations were developed considering radial and axial diffusion and convection in the lumen.
The corresponding model equations were derived from the stepwise regression procedure.
Quadratic mathematical model equations were derived for the prediction of enzyme activity.
Model equations were developed by applying mass and momentum balances across HFMC.
The coefficients of determination (R2) and adjusted R2 for the RSM model equations were 0.8530 and 0.7208.
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Mixed-model equations were employed to normalize the data and 155 genes were found to be differentially expressed (DE).
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