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Cross-correlated relaxation measurements under adiabatic sweeps: determination of local order in proteins

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We study the glass transition by exploring a broad class of kinetic rules that can significantly modify the normal dynamics of supercooled liquids while maintaining thermal equilibrium. Beyond the usual dynamics of liquids, this class includes dynamics in ...

Amer Physical Soc2024

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Fabio Nobile, Yoshihito Kazashi, Fabio Zoccolan

In this paper, we set the mathematical foundations of the Dynamical Low Rank Approximation (DLRA) method for high-dimensional stochastic differential equations. DLRA aims at approximating the solution as a linear combination of a small number of basis vect ...

2023

Fast viral dynamics revealed by microsecond time-resolved cryo-EM

Marcel Drabbels, Ulrich Lorenz, Sarah Victoria Barrass, Oliver Florian Harder

Observing proteins as they perform their tasks has largely remained elusive, which has left our understanding of protein function fundamentally incom- plete. To enable such observations, we have recently proposed a technique that improves the time resoluti ...

2023

Aryl-ether-free polyaromatic polymers with branched structures for anion exchange membranes

Xile Hu, Xingyu Wu

The present invention relates to a polyaromatic polymer that comprises multifunctional aromatic moieties MA, cationic groups CG and bifunctional aromatic moieties BA, wherein one or more CG and one or more BA form a linear unit L, and MA is connected to 3 ...

2023

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A novel approach to time-resolved cryo-electron microscopy (cryo-EM) has recently been introduced that involves melting a cryo sample with a laser beam to allow protein dynamics to briefly occur in the liquid, before trapping the particles in their transie ...

2022

MAS NMR Studies of Hierarchical Interplay in Protein Dynamics

Baptiste Busi

The functionality of proteins is governed by the interplay between their structure and dynamics. Thus, understanding the mechanism and nature of protein motion is essential to understand their biological activity. Here we present and evaluate a novel metho ...

EPFL2021

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The derivation and numerical implementation of a linearized version of the gyrokinetic (GK) Coulomb collision operator (Jorge et al., J. Plasma Phys., vol. 85, 2019, 905850604) and of the widely used linearized GK Sugama collision operator (Sugama et al., ...

CAMBRIDGE UNIV PRESS2021

MATHICSE Technical Report: Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

Fabio Nobile, Yoshihito Kazashi

An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and sto ...

MATHICSE2020

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

Fabio Nobile, Yoshihito Kazashi

2020

On compact representations of Voronoi cells of lattices

Matthias Schymura, Christoph Hunkenschröder

In a seminal work, Micciancio and Voulgaris (SIAM J Comput 42(3):1364-1391, 2013) described a deterministic single-exponential time algorithm for the closest vector problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given ...

SPRINGER HEIDELBERG2020