Application of symmetry-adapted functions method for three-dimensional reconstruction of biological macromolecules with dihedral symmetry

Abstract

Three-dimensional (3D) structure reconstruction of single particles has played an important role in understanding the mechanisms of macromolecular assembly. We demonstrate a Dihedral Symmetry-adapted function method (DSAF) to implement 3D reconstruction of macromolecular complexes with dihedral symmetry. A set of formulations for 3D reconstruction of biological objects with dihedral symmetry is presented in detail. To verify the feasibility and efficiency of the DSAF method for dihedral symmetrical objects, two special illustrations of simulation data with D6, D7 symmetry, were taken as examples to implement reconstruction by the DSAF method. The results show that the DSAF method is robust and suppresses noise in the three-dimensional reconstruction of dihedral symmetrical objects at high resolution. Thus the DSAF method is suitable for reconstruction of biological complexes with various kinds of dihedral symmetry