“…The recent studies on ion exchange process modeling can be categorized into three groups: 1) exploring novel numerical methods or appropriate reactor models (Kaczmarski et al, 1997;Koh et al, 1995;Slizneva and Natareev, 2004). For example, Kaczmarski et al (1997) developed an orthogonal collocation method based on moving finite elements for simulating ion exchange in fixed-bed; Koh et al (1995) tried to model the IX process of phenylalanine in fluidized beds using a completely mixed flow reactor (CMFR)-based model and a packed bed model and found the packed bed model had a better performance; 2) improving reactor configurations (Hwang and Lu, 1995;Boyer et al, 2008Boyer et al, , 2010Mazumder et al, 2009). For example, Hwang and Lu (1995) compared the performance of the semifluidized bed, the fluidized bed, and the packed bed by numerical simulations and concluded that the semi-fluidized bed has the highest treatment efficiency; Boyer et al (2008Boyer et al ( , 2010 developed process models for the ion exchange in a CMFR configuration for water treatment; 3) applications to different industries such as heavy metals removal (Menoud et al, 1998;Juang et al, 2003), high purity water production (Jia and Foutch, 2004;Hokanson, 2004), metal separation in elution process (Fatemi et al, 2007).…”