1. Geometric shape matching for recovering protein conformations from single-particle Cryo-EM data
- Author
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Jansson, Erik, Krook, Jonathan, Modin, Klas, and Öktem, Ozan
- Subjects
Quantitative Biology - Biomolecules ,Mathematics - Differential Geometry ,Mathematics - Numerical Analysis ,Mathematics - Optimization and Control ,53Z50, 90C26, 68U10, 53Z10, 92C55 - Abstract
We address recovery of the three-dimensional backbone structure of single polypeptide proteins from single-particle cryo-electron microscopy (Cryo-SPA) data. Cryo-SPA produces noisy tomographic projections of electrostatic potentials of macromolecules. From these projections, we use methods from shape analysis to recover the three-dimensional backbone structure. Thus, we view the reconstruction problem as an indirect matching problem, where a point cloud representation of the protein backbone is deformed to match 2D tomography data. The deformations are obtained via the action of a matrix Lie group. By selecting a deformation energy, the optimality conditions are obtained, which lead to computational algorithms for optimal deformations. We showcase our approach on synthetic data, for which we recover the three-dimensional structure of the backbone., Comment: 41 pages, 10 figres
- Published
- 2024