Biological tissues are grown in a low shear, microgravity environment by culturing connective tissue cells to form a three-dimensional structure, which is thereafter co-cultured with endothelial and epithelial cells to replicate naturally occurring tissues. Preferably, the three-dimensional connective tissue cells are first cultured with endothelial cells to form three-dimensional structures of connective tissue cells and endothelial cells, which are thereafter co-cultured with epithelial cells to replicate naturally occurring tissue. The cultured tissue is in the general shape of spheroids having a diameter between about 0.1 mm and about 5 m.