A device (100, 200) for separating adult stem cells from adipose tissue taken from a biological structure, having: - a container for receiving a material mixture comprising the adipose tissue and the adult stem cells and which has at least three chambers; - at least one rinse agent feed apparatus configured to introduce a fluid into the container; - a material mixture feed apparatus configured to introduce the material mixture into the container; - a stem cell extraction apparatus configured to remove the separated stem cells from the container; - at least one rinse agent drainage apparatus configured to discharge a material mixture reduced in terms of adult stem cells from the container, and - at least two specifically permeable membranes which are each permeable to only a specific part of the respective material mixture, wherein - the at least three chambers comprise at least a first chamber, a third chamber and a fourth chamber, - the first chamber of which is either directly connected to the third chamber or to a second chamber for fluid communication, wherein in the latter case, the second chamber is in turn directly connected to the third chamber for fluid communication, and - the third chamber of which is directly connected to the fourth chamber for fluid communication, wherein - the first chamber is separated from the third chamber by at least one membrane which is permeable to the adult stem cells, and - the third chamber is separated from the fourth chamber by a membrane which is impermeable to the adult stem cells, and furthermore - the first chamber is connected to the material mixture feed apparatus and the rinse agent feed apparatus, - the third chamber is connected to the stem cell extraction apparatus, and - the fourth chamber is connected to the rinse agent drainage apparatus, characterized in that the membrane which separates the third chamber from the fourth chamber is configured as a radial filter and surrounds the third chamber laterally. - a container for receiving a material mixture comprising the adipose tissue and the adult stem cells and which has at least three chambers; - at least one rinse agent feed apparatus configured to introduce a fluid into the container; - a material mixture feed apparatus configured to introduce the material mixture into the container; - a stem cell extraction apparatus configured to remove the separated stem cells from the container; - at least one rinse agent drainage apparatus configured to discharge a material mixture reduced in terms of adult stem cells from the container, and - at least two specifically permeable membranes which are each permeable to only a specific part of the respective material mixture, wherein - the at least three chambers comprise at least a first chamber, a third chamber and a fourth chamber, - the first chamber of which is either directly connected to the third chamber or to a second chamber for fluid communication, wherein in the latter case, the second chamber is in turn directly connected to the third chamber for fluid communication, and - the third chamber of which is directly connected to the fourth chamber for fluid communication, wherein - the first chamber is separated from the third chamber by at least one membrane which is permeable to the adult stem cells, and - the third chamber is separated from the fourth chamber by a membrane which is impermeable to the adult stem cells, and furthermore - the first chamber is connected to the material mixture feed apparatus and the rinse agent feed apparatus, - the third chamber is connected to the stem cell extraction apparatus, and - the fourth chamber is connected to the rinse agent drainage apparatus,