Author Correction: Inhibitory connectivity defines the realm of excitatory plasticity

After print:

In the version of this article initially published, errors occurred in two equations: in equation (1), the external input $H_a^{\left( {ext} \right)}$ should be divided by the membrane time constant τ_m; and in equation (8), a pre-factor $\sqrt \pi$ that multiplies the integral is missing. The errors have been corrected in the HTML and PDF versions of the article.

Correction to: Nature Neuroscience https://doi.org/10.1038/s41593-018-0226-x, published online 17 September 2018.

Change history blurb:

The original and corrected equations are shown in the accompanying Author Correction.

Equation (1):

Original: $\begin{array}{*{20}{c}} {\dot v_a^i\left( t \right) = - \frac{{v_a^i\left( t \right)}}{{\tau _m}} + h_a^i\left( t \right) + H_a^{\left( {ext} \right)}} \end{array}$

Corrected: $\begin{array}{*{20}{c}} {\dot v_a^i\left( t \right) = - \frac{{v_a^i\left( t \right)}}{{\tau _m}} + h_a^i\left( t \right) + \frac{{H_a^{\left( {ext} \right)}}}{{\tau _m}}} \end{array}$

Equation (8):

Original: $\begin{array}{*{20}{c}} {\nu _a^i = \phi _a\left( {h_a^i} \right) = \left( {\tau _{arp} + \tau _m\mathop {\smallint }\limits_{\frac{{v_R - \tau _mh_a^i}}{{\sigma _a\sqrt {\tau _m} }}}^{\frac{{\theta - \tau _mh_a^i}}{{\sigma _a\sqrt {\tau _m} }}} dye^{y^2}\left( {1 + {\mathrm{erf}}\left( y \right)} \right)} \right)^{ - 1}} \end{array}$

Corrected: $\begin{array}{*{20}{c}} {\nu _a^i = \phi _a\left( {h_a^i} \right) = \left( {\tau _{arp} + \tau _m\sqrt \pi \mathop {\smallint }\limits_{\frac{{v_R - \tau _mh_a^i}}{{\sigma _a\sqrt {\tau _m} }}}^{\frac{{\theta - \tau _mh_a^i}}{{\sigma _a\sqrt {\tau _m} }}} dye^{y^2}\left( {1 + {\mathrm{erf}}\left( y \right)} \right)} \right)^{ - 1}} \end{array}$