In the context of cryo-EM reconstruction, we provide a theoretical analysis showing that the condition number of the optimization problem is particularly large at high resolution, leading to slow convergence of gradient-based methods such as stochastic gradient descent. We then propose a method to overcome this issue by computing a preconditioner using Hutchinson's estimator, which results in improved convergence speed, as evidenced by numerical experiments.

A method for multi-crystal data collection and the software programs Dozor, Dozor-m2 and Resheteau for the detection of individual crystals, the determination of their positions on a sample holder and the estimation of their dimensions and shapes based on double raster X-ray scans are presented.

SFPQ and NONO are DBHS-family proteins that are essential for transcriptional regulation and the assembly of paraspeckles, which are subnuclear structures built on the long noncoding RNA NEAT1. Through SAXS, SANS and XL-MS analyses, we reveal that the disordered regions of SFPQ surrounding its DBHS domain enable flexible interactions and that the full-length proteins are capable of dimer partner exchange, highlighting how these dynamics may contribute to phase separation and impact disease processes.

Factor XII (FXII) is a plasma serine protease which becomes activated by interactions with polyanions such as polyphosphates from bacteria, with Zn²⁺ as a critical cofactor. The crystal structure of FXII domains 1–5, coupled with a second crystal structure of the isolated FnII domain in complex with Zn²⁺ ions, advances our understanding of FXII structure and ligand recognition.