The present invention provides for an improved in vitro tissue assembly system and related methods that includes and uses a bioreactor, a porous mandrel disposed in the bioreactor, and components that provide for the circulation of culture media and cell suspensions within the bioreactor and through the porous mandrel. The circulation of the culture media and cell suspensions within the bioreactor produces a radial, convective flow and drag forces that result in the deposition of cells on the mandrel to form a tissue construct. Upon completion of the culture and tissue formation process, the tissue construct may be removed from the mandrel for subsequent in vivo use.