The invention relates to a filter arrangement for the separation of blood into plasma and cellular components, comprising at least one filter element with an inlet line and an outlet chamber in a closed housing, separated by a fine pore membrane. The inlet chamber is connected to an inlet line for donor blood an dan outlet line for cellular components and the outlet chamber is connected to an outlet line for plasma. The arrangement further comprises a device for the production of a backpressure in the filter element, whereby the fine pore membrane is in the form of a U-shaped bundle of n=650 hollow fibers of the type Micro PES-TF 10 from Akzo Faser AG, the ends of which are fixed in an air-tight and germ-tight manner to an aperture plate which seals the open end region of the housing, which is open at just one end, in an air-tight and germ-tight manner. The free length of said fibers between the input and output region, within the housing, is 1=27 cm, whereby the inner volume of all the hollow fibers forms the inlet chamber and the outer volume within the housing forms the outlet chamber. The above filter arrangement may thus be integrated in a device for application on the donor, which collects the separated fractions of the donor blood in specially arranged receptacles.