(8)
Filtration behavior parameters (filtration volume and flow rate) were applied to the rearranged equations for each clogging model (Equations 2, 4, 6 and 8), and the left side of each equation was plotted against filtration volume, V, expressed as throughput (L/m2), and k was obtained for each model as the slope. For the standard blocking and complete blocking models, Vmax is determined by setting J = 0 in the above equations to obtain 2/k and 1/k, respectively. According to Grace,[11] k is proportional to the volume of solid particles removed by filtration. Additionally, the mAb and plasma IgG filterability data for the control were plotted to visually show the determination of k for each molecule according to Equations 2, 4, 6 and 8.
Differences between experimental values and modeling results were plotted and compared for all four models. Using k, theoretical filtration volume and flow rate were obtained using Equations 1, 3, 5 and 7, and the mean difference between the experimental and calculated values at each point of measurement was obtained by Equation 9 for each solution and model.