An extracorporeal perfusion apparatus (100, 200, 300, 500, 600, 700) comprising an extracorporeal blood circuit (102, 202, 302, 402, 502, 602, 702) for transporting blood, a circuit (105 , 205, 305, 405, 505, 605, 705) of filtrate to transport blood plasma, and a controller (110, 210, 310, 410, 510, 610, 710), in which the circuit (105, 205,. .. 705) filtering is connected to the circuit (102, 202, ... 702) of extracorporeal blood by means of a filter (104, 204, 304, 404, 504, 604, 704), in which the filter ( 104, 204 ... 704) has a 5% screening coefficient for substances that have a molar mass of 340,000 g / mol (relative molecular mass of 340 kDa), and in which an agent (107, 207, 307, 407, 507, 607, 707) of exhaustion comprising a first carrier (107a, 207a, 307a, 407a, 507a, 607a, 707a) that has a non-ionic, hydrophobic surface is arranged in the circuit (105, 205, .. 705) filtering, characterized in that the perf apparatus Usion comprises a dispensing medium (107, 207, 308, 408, 508, 607, 708) in which the dispensing means feeds an endotoxin linker lipopeptide into the extracorporeal blood circuit (102, 202, ... 702), in the that the endotoxin linker lipopeptide is selected from the group consisting of polymyxins, polymyxin derivatives, prodrugs thereof and a combination thereof.Un aparato (100, 200, 300, 400, 500, 600, 700) de perfusión extracorpóreo que comprende un circuito (102, 202, 302, 402, 502, 602, 702) de sangre extracorpóreo para transportar sangre, un circuito (105, 205, 305, 405, 505, 605, 705) de filtrado para transportar plasma sanguíneo, y un controlador (110, 210, 310, 410, 510, 610, 710), en el que el circuito (105, 205, ... 705) de filtrado está conectado al circuito (102, 202, ... 702) de sangre extracorpóreo por medio de un filtro (104, 204, 304, 404, 504, 604, 704), en el que el filtro (104, 204 ... 704) tiene un coeficiente de cribado del 5% para sustancias que tienen una masa molar de 340.000 g/mol (masa molecular relativa de 340 kDa), y
