Correction to: Communications Medicine https://doi.org/10.1038/s43856-022-00162-z, published online 05 August 2022.

The original PDF version of this article contained errors in equations 3, 4 and 5. In equation 3, the second term was written as ‘\({{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{i}^{T}\cdot \frac{{{{{\boldsymbol{c}}}}}_{i}(t)}{{{{{\boldsymbol{c}}}}}_{i}(t)\parallel })\)’ but should have been written as ‘\({{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{i}^{T}\cdot \frac{{{{{\boldsymbol{c}}}}}_{i}(t)}{\Vert {{{{\boldsymbol{c}}}}}_{i}(t)\Vert })\)’. In equation 4, the second and third terms were written as ‘\(({{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{PF}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\parallel })-{{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{DF}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\parallel }))\)’ but should have been written as ‘\(({{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{PF}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{\Vert {{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\Vert })-{{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{DF}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{\Vert {{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\Vert }))\)’. In equation 5, the second and third terms were written as ‘\(({{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{IN}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\parallel })-{{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{EV}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\parallel }))\)’ but should have been written as ‘\(({{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{IN}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{\Vert {{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\Vert })-{{{\rm{acos}}}}({{{{\boldsymbol{u}}}}}_{{{{\rm{EV}}}}}^{T}\cdot \frac{{{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)}{\Vert {{{{\boldsymbol{U}}}}}_{{{{\rm{S}}}}}(t)\Vert }))\)’. These equations have now been corrected in the PDF. The equations in the HTML version were published correctly and remain unchanged.