Though seldom noted in the literature the shaking diameter exerts a major influence on the cultivation. Usually raising the shaking diameter increases
the oxygen transfer rate. You can find more data in the publication of Maier and Buechs:
Characterisation of the gas-liquid mass transfer in shaking bioreactors
Maier U, Buechs J.
Biochem Eng J. (2001);Vol. 7, No. 2, pp 99-106