Computing methods for icosahedral and symmetry-mismatch reconstruction of viruses by cryo-electron microscopy**Project supported by the National Key R&D Program of China (Grant No. 2016YFA0501100), the National Natural Science Foundation of China (Grant Nos. 91530321, 31570742, and 31570727), and Science and Technology Planning Project of Hunan Province, China (Grant No. 2017RS3033).

Abstract

Three-dimensional (3D) reconstruction of icosahedral viruses has played a crucial role in the development of cryo-electron microscopy single-particle reconstruction, with many cryo-electron microscopy techniques first established for structural studies of icosahedral viruses, owing to their high symmetry and large mass. This review summarizes the computational methods for icosahedral and symmetry-mismatch reconstruction of viruses, as well as the likely challenges and bottlenecks in virus reconstruction, such as symmetry mismatch reconstruction, contrast transformation function (CTF) correction, and particle distortion.