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- W4316829948 abstract "Cryogenic electron microscopy (cryo-EM) is an invaluable tool for determining the high-resolution three-dimensional structure of biological macromolecules using many transmission particle images. The symmetry inherent in these macromolecules is beneficial, as it allows each transmission image to correspond to multiple perspectives. However, data processing incorporating symmetry can inadvertently average out asymmetric features. Thus, it is crucial to develop methods to resolve asymmetrical structural elements, which call for the orientation statistics both with and without molecular symmetry. In this paper, we introduce a novel method for estimating the mean and variance of orientations with molecular symmetry. Utilizing tools from non-unique games, we show that our proposed non-convex formulation can be simplified as a semi-definite programming problem. Moreover, we propose a novel rounding procedure to determine the representative values. Experimental results demonstrate that the proposed approach can find the global minima and the appropriate representatives with a high degree of probability. We release the code of our method as an open-source Python package named pySymStat. Finally, we apply pySymStat to visualize an asymmetric feature in an icosahedral virus, a feat that proved unachievable using the conventional 2D classification method in RELION." @default.
- W4316829948 created "2023-01-17" @default.
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- W4316829948 date "2023-01-13" @default.
- W4316829948 modified "2023-09-26" @default.
- W4316829948 title "The Moments of Orientation Estimations Considering Molecular Symmetry in Cryo-EM" @default.
- W4316829948 doi "https://doi.org/10.48550/arxiv.2301.05426" @default.
- W4316829948 hasPublicationYear "2023" @default.
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