Algorithms for Multiscale Characterization of Equilibrium Protein Motions
Findings by Andrej Savol




Conformational motions relevant to protein function span an enormous range of temporal scales. While the appropriate method for understanding these fluctuations may be specific to a particular timescale and detail level, the characterization of spatial and energetic transitions provides our lab’s overarching focus. To that aim, we have developed advanced machine learning techniques for extracting non-Gaussian and rare behavior in MD trajectories. Although outcomes of purely spatial fluctuations, QAA basis vectors segment ubiquitin’s hierarchical internal energy space with surprising clarity, and we give insight for why pursuing such rare events provides useful biochemical information, especially when compared with established principal-component and full-(de)correlation based approaches.
Longer temporal windows and larger spatial motions are considered with Structure–from–FRET, an algorithm that answers the following question: given a time-evolving distance constraint between two protein residues, what is the most likely trajectory of the entire protein? Our Kalman-Filter based approach generates ensembles of trajectories that agree with single molecule Forster Resonance Energy Transfer data. We highlight its utility with Adenylate Kinase, a model hinge protein, and describe how this apparently underdetermined problem is made tractable by incorporating standard biochemical constraints (bond-length, bond-angle) into the state-space update algorithm.
Published by Jimmy Marble
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Andrej Savol heads the Sirocco Research Labs’ Science Labs. He does his research at the University of Pittsburgh.