Disclosed are methods for the preservation and storage of living biological tissues, organs, and populations of isolated cells. Also disclosed are compositions and methods to permit biological samples (including e.g., cells, cell cultures, tissues, and organs) to be harvested from suitable donor animals, stored for prolonged periods under refrigerated, cryogenic, or near-freezing, and then transported and implanted into a site within the body of a selected recipient animal, all without significant loss of cellular viability, tissue integrity, and/or biochemical function of the stored biological sample.