Abstract
With continued advances in three dimensional Electron Microscopy one is progressively able to elucidate and visualize natureˈs biological molecular machines (e.g. ribosomes, viruses) at varying resolutions and different conformations. I shall first discuss a suite of geometric optimization methods to automatically reconstruct a 3D volumetric model from a set of 2D images of the same object but with unknown pose. The solution to the inverse problem utilizes a pose determination algorithm, variational reconstruction of 3D scalar functions from 2D images, and geometry/image processing techniques of structure interpretation, feature extraction, and model refinement at progressively finer resolutions. Next, Ill briefly discuss molecular modeling techniques that enable dynamics, and visualization of structure‐function relationships of these biological machines.
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