The present invention relates in a first aspect to a method for the purification of biological macromolecular complexes. Typically, no chromatography steps are applied. That is, the present invention relates to a method for the purification of biological macromolecular complexes Furthermore, the present invention relates to a method for crystallization of biological macromolecular complexes comprising the step of purification as described followed by crystallization in a reservoir solution containing a water-soluble polymer. Furthermore, purified biological macromolecular complexes obtainable by the method according to the present invention are provided as well as crystallized biological macromolecular complexes. Finally, a method for determining the suitability of a candidate compound for inhibiting the 20S proteasome of an individual is provided. Said method is particularly useful in personalized medicine identifying suitable inhibitors of the 20S proteasome in individuals for treating, ameliorating or preventing a cancer, an autoimmune disease, a muscular dystrophy, emphysema or cachexia accompanying cancer or AIDS.