Additions and Corrections| Volume 292, ISSUE 50, P20655, December 15, 2017

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# N-terminal prion protein peptides (PrP(120–144)) form parallel in-register β-sheets via multiple nucleation-dependent pathways.

Open AccessPublished:December 15, 2017
VOLUME 291 (2016) PAGES 22093–22105
In the “Materials and Methods” section, the conversion of the reduced time unit to a real time unit (Δt* = 0.072 ns) was incorrect. The correct value should be Δt* = 0.96 ns. Thus, the longest time accessed in the single DMD simulation should have been 672 μs, which corresponds to 2000 billion collisions. The simulation times (x axes) in Figs. 1, 6, 7, and 9 and Figs. S1–S5 and Table 2 as well as in other places in the context of the article should all be multiplied by a factor of 29. The correct calculation procedures are described below.
The way that we relate the reduced time unit to the real time unit is to compare the self-diffusion coefficient of Aβ(16–22) peptide obtained from DMD simulation (DDMD) and atomistic molecular dynamics (MD) simulation (DMD) at T = 298 K. The reduced temperature of the self-diffusion coefficient measurement in DMD simulation is chosen to be T* = 0.181, which corresponds to room temperature (T = 298 K) according to temperature scaling (Wang, Y., Shao, Q., and Hall, C. K. (2016) N-terminal prion protein peptides (PrP(120–144)) form parallel in-register β-sheets via multiple nucleation-dependent pathways. J. Biol. Chem. 291, 22093–22105), T* = (T + 115.79)/2288.46 = (298 + 115.79)/2288.46 = 0.181.
The self-diffusion coefficients in both DMD and MD simulation are calculated using the Einstein equation. We plotted the mean square displacement (MSD) of N Aβ(16–22) peptides versus time for both atomistic MD simulation (N = 1) and DMD simulation (N = 6), as shown in Fig. 11, A and B, by using the following equation,
$MSD(t+Δt)=MSD(t)+d2¯=MSD(t)+∑i=1i=N|rit+Δt−rit|2N$
(Eq. 1)

where Δt is the time unit; N is the total number of peptides; d2 is the averaged square displacement of N peptides; and rit+Δt and rit are the coordinates of the ith peptide at t + Δt and t. For DMD simulation, t* is used in DMD instead of t to represent reduced time.
Using the MSD data in Fig. 11, A and B, we obtain the self-diffusion coefficients DMD and DDMD.
$DMD=16MSD(t2)−MSD(t1)t2−t1=48.11−27.456×(17.80−10.66)=0.48nm2/ns$
(Eq. 2)

$DDMD=16MSD(t*2)−MSD(t*1)t*2−t*1=328.57−109.016×(120.01−40.01)=0.46nm2/Δt*$
(Eq. 3)

By equating the self-diffusion coefficients calculated from both atomistic MD simulation and DMD simulation, we obtain the reduced time unit in DMD simulation in terms of the real time unit to be 1 (Δt*) = 0.96 ns.