Abstract

In 2020, cryo-EM single-particle analysis achieved true atomic resolution thanks to technological developments in hardware and software. The number of high-resolution reconstructions continues to grow, increasing the importance of the accurate determination of atomic coordinates. Here, a new Python package and program called Servalcat is presented that is designed to facilitate atomic model refinement. Servalcat implements a refinement pipeline using the program REFMAC5 from the CCP4 package. After the refinement, Servalcat calculates a weighted Fo - Fc difference map, which is derived from Bayesian statistics. This map helps manual and automatic model building in real space, as is common practice in crystallography. The Fo - Fc map helps in the visualization of weak features including hydrogen densities. Although hydrogen densities are weak, they are stronger than in the electron-density maps produced by X-ray crystallography, and some H atoms are even visible at ∼1.8 Å resolution. Servalcat also facilitates atomic model refinement under symmetry constraints. If point-group symmetry has been applied to the map during reconstruction, the asymmetric unit model is refined with the appropriate symmetry constraints.

Highlights

  • Atomic model refinement is the optimization of the model’s parameters against the observed data

  • The optimal sharpening will differ depending on the region, but here we use an overall isotropic B value estimated by comparing |Fo| with |from the atomic model (Fc)| calculated from a copy of the initial model with all atomic displacement parameters (ADPs) set to zero

  • The case of Electron Microscopy Data Bank (EMDB) entry EMD-8123 (Supplementary Fig. S2), atoms in apoferritin and GABAAR maps by cryo-EM single-particle analysis (SPA) at sharpening by the overall B value obtained by line fitting gave 1.2 and 1.7 Aresolution, respectively

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Summary

Notation

FT: Fourier transform of unknown true map (complex values). Fn: Fourier transform of noise in the observed map (complex values). Fo1, Fo2: Fourier transforms of the two unweighted and unsharpened half maps from independent reconstructions (complex values). Fo: Fourier transform of the observed full map, (Fo1 + Fo2)/2. Fc: Fourier transform of calculated map from atomic coordinates (complex values). K: resolution-dependent scale factor between Fo and FT. D: resolution-dependent scale factor between Fo and Fc. T2 : variance of signal, var(FT). S: column vector of position in reciprocal space. ST: row vector of position in reciprocal space. X: column vector of position in real space. B: displacement parameter of an atom, or blurring parameter for a local or global region of a map. All quantities in Fourier space are dependent on s

Introduction
Map calculation and sharpening using signal variance
Posterior distribution and map calculation
Variance of a masked map
Map choice
Masking and trimming
Point-group symmetry
H atoms
Refinement
User interface
Fo À Fc map for ligand visualization
Fo À Fc map for detecting model errors
Findings
Conclusions
Full Text
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