Due to increasing demands on pure products, there is a rapid growth of
interest in chromatographic techniques. Those techniques are able to
separate even compounds with small differences in their physico-chemic
al properties. Continuous processes, e.g. simulated moving bed (SMB) c
hromatography, are a new field of growing interest for the production
of pure pharmaceuticals and fine chemicals. These complex procedures c
annot be optimized by a strategy based on trial and error. Therefore,
rigorous modeling and efficient simulation/optimization techniques hav
e to be used. This article presents an overview showing the advantages
and disadvantages of different modeling approaches in theory and in p
ractical applications to technical chromatographic separations.