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Markov State Modeling has recently emerged as a key technique for analyzing rare events in thermal equilibrium molecular simulations and finding metastable states. Here we export this technique to the study of friction, where strongly…

统计力学 · 物理学 2016-11-09 F. Pellegrini , F. P. Landes , A. Laio , S. Prestipino , E. Tosatti

Amorphous materials exhibit structural heterogeneities that relax only on long timescales. Using machine learning techniques, we construct a Markov state model (MSM) for model glass formers that coarse-grains the dynamics into a…

软凝聚态物质 · 物理学 2022-08-31 Siavash Soltani , Chad W. Sinclair , Joerg Rottler

Many state of the art methods for the thermodynamic and kinetic characterization of large and complex biomolecular systems by simulation rely on ensemble approaches, where data from large numbers of relatively short trajectories are…

数据分析、统计与概率 · 物理学 2017-04-05 Feliks Nüske , Hao Wu , Jan-Hendrik Prinz , Christoph Wehmeyer , Cecilia Clementi , Frank Noé

In the last decade, advances in molecular dynamics (MD) and Markov State Model (MSM) methodologies have made possible accurate and efficient estimation of kinetic rates and reactive pathways for complex biomolecular dynamics occurring on…

生物大分子 · 定量生物学 2020-01-29 Hongbin Wan , Vincent A. Voelz

Markov state models (MSMs) are a powerful tool to analyze and coarse-grain complex dynamical data into interpretable kinetic processes. This capability is particularly important in heterogeneous catalysis, where a medley of reactants and…

统计力学 · 物理学 2026-05-11 Caitlin A. McCandler , Chatipat Lorpaiboon , Timothy C. Berkelbach , Jutta Rogal

Markov State Models (MSM) are widely used to elucidate dynamic properties of molecular systems from unbiased Molecular Dynamics (MD). However, the implementation of reweighting schemes for MSMs to analyze biased simulations, for example…

化学物理 · 物理学 2020-11-26 Stefanie Kieninger , Luca Donati , Bettina G. Keller

Markov state models (MSMs) have been successful in computing metastable states, slow relaxation timescales and associated structural changes, and stationary or kinetic experimental observables of complex molecules from large amounts of…

化学物理 · 物理学 2015-06-17 Frank Noe , Hao Wu , Jan-Hendrik Prinz , Nuria Plattner

Markov state models (MSMs) have been demonstrated to be a powerful method for computationally studying intramolecular processes such as protein folding and macromolecular conformational changes. In this article, we present a new approach to…

生物物理 · 物理学 2015-06-18 Matthew R. Perkett , Michael F. Hagan

When clustering molecular dynamics (MD) trajectories into a few metastable conformational states, the Markov state models (MSMs) assumption of timescale separation between fast intrastate fluctuations and rarely occurring interstate…

软凝聚态物质 · 物理学 2025-01-17 Sofia Sartore , Franziska Teichmann , Gerhard Stock

Computational modeling of assembly is challenging for many systems because their timescales vastly exceed those accessible to simulations. This article describes the MultiMSM, which is a general framework that uses Markov state models…

软凝聚态物质 · 物理学 2024-05-07 Anthony Trubiano , Michael F. Hagan

Markov state models (MSMs) have become a popular approach for investigating the conformational dynamics of proteins and other biomolecules. MSMs are typically built from numerous molecular dynamics simulations by dividing the sampled…

生物大分子 · 定量生物学 2015-06-12 Yuan Yao , Raymond Z. Cui , Gregory R. Bowman , Daniel Silva , Jian Sun , Xuhui Huang

In typical single-molecule force spectroscopy experiments the mechanical unfolding of molecular complexes or biomolecules is studied applying a force ramp to one end of the system while the other end is kept fixed in space. The…

软凝聚态物质 · 物理学 2026-05-18 Marco Oestereich , Jürgen Gauss , Gregor Diezemann

Adopting a $300 \, \mu$s-long molecular dynamics (MD) trajectory of the reversible folding of villin headpiece (HP35) published by D. E. Shaw Research, we recently constructed a Markov state model (MSM) of the folding process based on…

生物物理 · 物理学 2025-10-09 Daniel Nagel , Sofia Sartore , Gerhard Stock

Molecular simulations can provide microscopic insight into the physical and chemical driving forces of complex molecular processes. Despite continued advancement of simulation methodology, model errors may lead to inconsistencies between…

化学物理 · 物理学 2016-02-12 Joseph F. Rudzinski , Kurt Kremer , Tristan Bereau

A method is proposed to identify target states that optimize a metastability index amongst a set of trial states and use these target states as milestones (or core sets) to build Markov State Models (MSMs). If the optimized metastability…

统计力学 · 物理学 2016-08-03 Enrico Guarnera , Eric Vanden-Eijnden

Markov state models (MSMs) have been broadly adopted for analyzing molecular dynamics trajectories, but the approximate nature of the models that results from coarse-graining into discrete states is a long-known limitation. We show…

计算物理 · 物理学 2021-05-31 John D. Russo , Jeremy Copperman , David Aristoff , Gideon Simpson , Daniel M. Zuckerman

A Markov state model of the dynamics of a protein-like chain immersed in an implicit hard sphere solvent is derived from first principles for a system of monomers that interact via discontinuous potentials designed to account for local…

统计力学 · 物理学 2015-06-22 Jeremy Schofield , Hanif Bayat

A Markov state model is a powerful tool that can be used to track the evolution of populations of configurations in an atomistic representation of a protein. For a coarse-grained linear chain model with discontinuous interactions, the…

软凝聚态物质 · 物理学 2024-02-06 Margarita Colberg , Jeremy Schofield

Markov state models (MSMs) are a widely used method for approximating the eigenspectrum of the molecular dynamics propagator, yielding insight into the long-timescale statistical kinetics and slow dynamical modes of biomolecular systems.…

生物大分子 · 定量生物学 2015-03-30 Robert T. McGibbon , Vijay S. Pande

This paper provides new analytic tools for a rigorous control formulation and stability analysis of sliding mode-multimodel controller (SM-MMC). In this way to minimise the chattering effect we will adopt as a starting point the multimodel…

系统与控制 · 计算机科学 2013-04-02 Ahmed Rhif , Zohra Kardous , Naceur Ben
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