In one aspect, the invention is directed to a method of delivering fat to one or more sites in an individual in need thereof comprising introducing an effective amount of one or more epineural sheaths comprising adipose tissue to the one or more sites in the individual. In another aspect, the invention is directed to a method of maintaining or augmenting (increasing) fat volume at one or more sites in an individual in need thereof comprising introducing an effective amount one or more epineural sheaths comprising adipose tissue to the one or more sites in the individual. The one or more epineural sheaths comprising adipose tissue is maintained under conditions in which the fat volume is maintained and/or augmented at the one or more sites in the individual.