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It enhances the separation performance compared with the conventional RAC operation. 3. MATHEMATICAL MODEL The mathematical model is constructed by modifying the model reported in our previous work on a binary separation of glutamic acid and valine using cation exchange resin packing. Figure 3 shows the schematic diagram of the states in liquid and resin phases. Mass balance in liquid phase is expressed as equation(l) by considering axial and circumferential disTemion, convection, rotation and ion exchange between the liquid and resin phases.