A filter apparatus, a method for the manufacture of the filter apparatus, the use of the filter apparatus in medical, chemical and/or biotechnological applications, and an apparatus for use in the manufacture of the filter apparatus. The filter apparatus has a cylindrical housing and a plurality of hollow fibers. The hollow fibers are combined to form a bundle in the housing and are embedded and held in each case at the end sides in a molding compound. The filtrate space is filled with particles of a chemically or physically active substance.