Tissue engineering devices and methods are provided for the reconstruction, repair, augmentation, or replacement of a luminal organ or tissue structure involving the use of a biodegradable polymer matrix conforming to a portion of a laminarly arranged luminal organ, the processing of autologous, allogeneic or xenogeneic tissue comprising multiple cell populations to obtain a minced tissue composition, the seeding of the matrix with the composition, and the implanting of the seeded polymer matrix into a patient.