# First-edition Errata

### Notice

This is an ongoing collection of errata to the first edition of the Neuronal Dynamics textbook. Errata marked by a checkmark have been corrected in the online edition.
Should you find any errors, please write to Wulfram Gerstner.

# Part I.

• Ch2.S2: in Table (2.1), the equations for the sodium inactivation properties $\alpha_h$ and $\alpha_h$ have been corrected from:  $1\,/\,[1+e^{-(u+62)\,/\,6}]$ and $4e^{(u+90)/12}\,/\,[1+e^{-(u+62)\,/\,6}]$ to the new expressions: $0.25\;e^{-(u+90)/12}$ and $0.25\;e^{(u+62)/6}/e^{(u+90)/12}$ (thanks to Ehsan Mirzakhalili and Homero Barrocas Soares Esmeraldo)

• Ch3.S1: in equation (3.6), a missing minus sign was added in front of alpha to give:$g_{\infty}(u,[\text{Mg}^{2+}]_{\text{o}})=\left(1+\beta\,{\text{e}}^{% -\alpha\,u}\,[\text{Mg}^{2+}]_{\text{o}}\right)^{-1}\,,$
• Ch4.S4: In Fig. 4.13A, a missing label for $\dot{u}=0$ was added (this was missing only in the print version).
• Ch4.S6: Just before Equation (4.35), "a single equation".
• Ch4.S7: Equation (4.40) mistakenly contained two equations (one for u, one for m) written in a single line. The two equations have been split into two lines, giving a new Equation (4.41). Furthermore, a missing equality sign (=) has been added in the new Equation (4.41), yielding:  $\begin{split}\frac{du}{dt}&=f(u)-m,\\ \end{split}$ (4.40) $\begin{split} \epsilon\frac{dm}{dt}&=-m+c(u).\\ \end{split}$ (4.41)
(thanks to Edward Goldman)

# Part II.

• Ch6.S2: In Table (6.1), the reference to the nonexisting panel Fig. 6.9C (last row, for type "delayed") has been removed.

# Part IV.

• Ch16.S2, Ch16.S4, Ch16.S6: The citations wrongly pointing to Ref. 544 are now pointing to Ref. 543.
• Ch16.S4: In Eqs. (16.14) and (16.16): a missing factor of $\frac{1}{2}$ was added to the first terms on both right hand sides. (thanks to Hiroaki Hamada)
• Ch19.S1: "Similar results on spike-time dependent synaptic plasticity have been found..." has been changed to "Similar results on spike-timing-dependent plasticity have been found...", to adhere to the common notation.
• Ch19.S2: In Equation (19.10), second line, the inequality on the right has been changed to $\displaystyle t_{\mathrm{pre}}>t_{\mathrm{post}}$.
• Ch19.S2: Just after Equation (19.10), a sentence has been added: "Usually $A_{\pm}(w)$ is positive and $A_{\pm}(w)$ is negative."
• Ch19.S2: In the legend of Fig. 19.8, panel B, the indices i and j have been switched to give $t^{(f)}_{i}-t^{(f)}_{j}=10$ ms (for the top curve).
• Ch19.S2: In Equation (19.14), the minus sign has been removed before the $\displaystyle A_{-}$.
• Ch19.S2: In Equation (19.17), an index j has been added on the left-hand side.
• Ch19.S2: In Equation (19.18), an index i has been added to the first $\displaystyle \bar{u}$.
• Ch19.S2: In Equation (19.18), index has been changed from i to j for $\displaystyle \bar{x}$.
• Ch19.S2: In legend of Fig. 19.9, panel B (iii), index j has been added to $\displaystyle \bar{x}$.