There have been two errors in the last two paragraphs of the Introduction. The correct version of these paragraphs is listed in the following:

Compared to the fully controlled laboratory stirred-tank bioreactor all of these approaches lack important features. The reported maximum oxygen transfer coefficients are rather low (<0.11 s−1), no closed-loop control of pH and or DO is available and fed-batch operation is not possible.

This paper presents new methods and devices for high-throughput bioprocess design on a 10-ml scale. Forty-eight bioreactors equipped with a magnetically driven gas-inducing impeller ensuring high oxygen transfer coefficients of up to 0.4 s−1 [15–17] are operated sterile in a bioreaction block providing an electromagnetic drive, heat exchangers and sterile gas supply. A prototype sensor block is applied for individual DO-measurements via fluorescence lifetime of fluorophors immobilized inside the milliliter-scale bioreactors. The automation of titration, feeding and sampling is realized by a liquid-handling system. The development of a self-optimizing scheduling system for effective parallel control and data acquisition of 48 bioreactors is outlined. Forty-eight parallel operation of E. coli batch processes with different media compositions are studied on a 10-ml scale.

Figure 9 was printed without y-axis title. The complete figure is printed below:

Fig. 9
figure 9

Forty-eight parallel batch cultivations of E. coli on a 10 ml-scale: mean values of dry cell mass concentrations as function of process time (closed symbols mineral medium; open symbols complex medium)