Protein Sectors: Evolutionary Units of Three-Dimensional Structure

Protein Sectors: Evolutionary Units of Three-Dimensional Structure

Proteins display a hierarchy of structural features at primary, secondary, tertiary, and higher-order levels, an organization that guides our current understanding of their biological properties and evolutionary origins. Here, we reveal a structural organization distinct from this traditional hierarchy by statistical analysis of correlated evolution between amino acids. Applied to the S1A serin...

Twisted sectors in three-dimensional gravity

Twisted sectors –solutions to the equations of motion with nontrivial monodromies– of three dimensional Euclidean gravity are studied. We argue that upon quantization this new sector of the theory provides the necessary (and no more) degrees of freedom to account for the Bekenstein-Hawking entropy of three-dimensional black holes. PACS: 04.70.Dy; 04.60.Kz

Prediction of Protein Three-Dimensional Structure

Relating three-dimensional structures to protein networks provides evolutionary insights.

Most studies of protein networks operate on a high level of abstraction, neglecting structural and chemical aspects of each interaction. Here, we characterize interactions by using atomic-resolution information from three-dimensional protein structures. We find that some previously recognized relationships between network topology and genomic features (e.g., hubs tending to be essential protein...

Sectors of solutions in Three-dimensional Gravity and Black Holes

We examine the connection between three dimensional gravity with negative cosmological constant and two-dimensional CFT via the Chern-Simons formulation. A set of generalized spectral flow transformations are shown to yield new sectors of solutions. One implication is that the microscopic calculation of the entropy of the Bañados-Teitelboim-Zanelli (BTZ) black hole is corrected by a multiplicat...