Automated matching of two-time X-ray photon correlation maps from phase-separating proteins with Cahn-Hilliard-type simulations using auto-encoder networks

J Appl Crystallogr. 2022 Jun 15;55(Pt 4):751-757. doi: 10.1107/S1600576722004435. eCollection 2022 Aug 1.

Abstract

Machine learning methods are used for an automated classification of experimental two-time X-ray photon correlation maps from an arrested liquid-liquid phase separation of a protein solution. The correlation maps are matched with correlation maps generated with Cahn-Hilliard-type simulations of liquid-liquid phase separations according to two simulation parameters and in the last step interpreted in the framework of the simulation. The matching routine employs an auto-encoder network and a differential evolution based algorithm. The method presented here is a first step towards handling large amounts of dynamic data measured at high-brilliance synchrotron and X-ray free-electron laser sources, facilitating fast comparison with phase field models of phase separation.

Keywords: Cahn–Hilliard; X-ray photon correlation spectroscopy; XPCS; auto-encoders; machine learning; protein dynamics.

Grants and funding

ST and CG acknowledge BMBF for financial support under grant Nos. 05K19PS1 and 05K20PSA. FZ and FS acknowledge BMBF for financial support under grant No. 05K20VTA. AR thanks the Studienstiftung des deutschen Volkes for a personal fellowship. NB thanks the Alexander von Humbold Foundation for a postdoctoral research fellowship.