Author Correction: Dispersion as a waste-clearance mechanism in flow through penetrating perivascular spaces in the brain

Correction to: Scientific Reports https://doi.org/10.1038/s41598-021-83951-1, published online 25 February 2021

The original version of this Article contained a typographical error in Equation 10, where the last term in the numerator was incorrect.

$$\begin{array}{cc}{\kappa }_{13}& =\frac{1-3{\sigma }^2-2{\sigma }^4\mathrm{\Sigma }-1}{8(1-{\sigma }^2)},\end{array}$$ 10

with $\sigma =r_1/r_2,\mathrm{\Sigma }=(1-{\sigma }^2)/\ln {\sigma }^2,$ and $S=1+{\sigma }^2+2{\mathrm{\Sigma }}^2$.

now reads:

$$\begin{array}{cc}{\kappa }_{13}& =\frac{1-3{\sigma }^2-2{\sigma }^4{\mathrm{\Sigma }}^{-1}}{8(1-{\sigma }^2)},\end{array}$$ 10

with $\sigma =r_1/r_2,\mathrm{\Sigma }=(1-{\sigma }^2)/\ln {\sigma }^2,$ and $S=1+{\sigma }^2+2\mathrm{\Sigma }$.

The original Article has been corrected.