Medical device having compressible and expandable, circular cylindrical lattice structure, which includes circumferential segments having closed cells. The cells are bounded by four respective webs, which are coupled to each other and every two oppositely arranged webs to form a web pair. The webs of a first pair have a different shape and/or a web width at least in some sections than the webs of a second pair. The webs of the first pair can be deformed more greatly than the webs of the second pair. During the transition of the lattice structure from the expanded to the compressed state, each web of the first pair is coupled to a respective web of the second pair in such a way that two connection points oppositely arranged in the longitudinal direction (LR) of the lattice structures are moved away from each other in the circumferential direction (UR) of the lattice structure.