Correction to: A new approach for calculating microalgae culture growth based on an inhibitory effect of the surrounding biomass

Correction to: Bioprocess and Biosystems Engineering https://doi.org/10.1007/s00449-021-02550-6

Unfortunately, in the original article some of the correction were missed in the online publication.

The changes were given below.

The address of the authors Christoph Peter Lindenberger and Sun-Hwa Jung is updated as Kaiser-Wilhelm-Ring 23, 92,241, Amberg, Germany.

The address of the authors Christopher McHardy and Cornelia Rauh is updated as Königin-Luise-Str. 22, 14,195 Berlin.

In the Abbreviations, the space is missing between m³ and kg⁻¹, updated Vessel volume per minute to Gas volume per Vessel volume per minute and close bracket is missed for (kg m⁻³).

The space was missing in the below given equations

$$ \mu = \frac{{\mu_{\max } }}{{\pi r^{2} }}\int\limits_{0}^{2\pi } {\int\limits_{0}^{r} {\frac{I(b,X)}{{I(b,X) + K_{M} }}} } b{\text{d}}b{\text{d}}\varphi $$

$$ \overline{\mu } = 2\frac{{\mu_{\max } }}{{r^{2} }}\int\limits_{0}^{r} {\frac{I(b,X)}{{I(b,X) + K_{M} }}} b{\text{d}}b $$

$$ \overline{\mu } = C_{[EI]} k_{1} + C[X_{m} EI]k_{m} $$

The spaces are missing for the given equation

$$ K_{D1} ,K_{{X_{m} }} ,K_{Xn} ,\frac{{k_{m} }}{{k_{1} }},\;\mu_{\max } ,_{M,n} $$

The below equation should be in italics

$$ \begin{gathered} \overline{\mu }_{\max } = \frac{{\mu_{\max } L}}{1 + L}, \hfill \\ n = \frac{{n_{1} L}}{{n_{2} + L}}, \hfill \\ m = - \left( {1 + \frac{{m_{1} L}}{{m_{2} + L}}} \right). \hfill \\ \end{gathered} $$

The original article has been corrected.