The present invention provides polymers for use in preventing damage to the membranes of cells in fat grafts. Mixing of a triblock copolymer such as poloxymer P 188 with adipocytes or adipose tissue to be transplanted into a subject is thought to stabilize the membranes of the cells leading to more successful fat transplantation in soft tissue reconstruction or augmentation. Such methods may also be used in the transplantation of adult stem cells or other cells derived from fat tissue. Other agents such as lipoic acid may also be added to the polymer/cell compositions for cell transplantation.