Disposable bioreactor system

An apparatus comprising:

• (a) a hollow toroidal one-piece polymeric bioreactor vessel comprising at least one port configured to receive at least one pre-inserted and pre-calibrated sensor to monitor a bioprocess carried out in said hollow toroidal one-piece polymeric bioreactor vessel;
• and
• (b) a drive configured to move the hollow toroidal one-piece polymeric bioreactor vessel such that there is build-up of a resonant frequency traveling wave of fluid orbiting in one direction in an interior of the hollow toroidal one-piece polymeric vessel when a particular amplitude and orbital speed is imparted to said hollow toroidal one-piece polymeric bioreactor vessel,
• wherein the resonant frequency depends on the size and shape of the hollow toroidal one-piece polymeric bioreactor vessel, and
• wherein at least a portion of an inner surface of said hollow toroidal one-piece polymeric bioreactor vessel is textured with a plurality of upstanding protuberances and said hollow toroidal one-piece polymeric bioreactor vessel includes at least one exit port for the removal of gaseous by-products.