Correction to: Bioprocess and Biosystems Engineering (2021) 44:2303–2313 https://doi.org/10.1007/s00449-021-02605-8

The Acknowledgements section should be modified as.

This work was financially supported by the Natural Science Foundation of China (31,960,471) and the Science and Technology Project of Qinghai (No. 2020ZJY40).