Correction for Heeger and Mackey, Oscillatory recurrent gated neural integrator circuits (ORGaNICs), a unifying theoretical framework for neural dynamics

NEUROSCIENCE, PSYCHOLOGICAL AND COGNITIVE SCIENCES Correction for “Oscillatory recurrent gated neural integrator circuits (ORGaNICs), a unifying theoretical framework for neural dynamics,” by David J. Heeger and Wayne E. Mackey, which was first published October 21, 2019; 10.1073/pnas.1911633116 (Proc. Natl. Acad. Sci. U.S.A. 116, 22783–22794).

The authors note that, on page 22784, right column, Eq. 1 appeared incorrectly. The equation should appear as follows:

$${\tau }_y\frac{d{y}_j}{dt}=-y_j+\left(\frac{b_j^{+}}{1+b_j^{+}}\right)z_j+\left(\frac{1}{1+a_j^{+}}\right){ŷ}_j,$$

$$\mathbf{z}={\mathbf{W}}_{zx}\mathbf{x},$$

$$\widehat{\mathit{y}}={\mathbf{W}}_{\widehat{y}y}\mathbf{y},$$

$$\mathbf{r}={\mathbf{W}}_{ry}\mathbf{y},$$

$$a_j^{+}\ge 0\hspace{0.17em}\mathrm{and}\hspace{0.17em}{b}_j^{+}\ge 0.$$