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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

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

软凝聚态物质 · 物理学 2022-09-26 Margarita Colberg , Jeremy Schofield

Present-day atomistic simulations generate long trajectories of ever more complex systems. Analyzing these data, discovering metastable states, and uncovering their nature is becoming increasingly challenging. In this paper, we first use…

计算物理 · 物理学 2023-06-23 Pietro Novelli , Luigi Bonati , Massimiliano Pontil , Michele Parrinello

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

化学物理 · 物理学 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

A goal in the kinetic characterization of a macromolecular system is the description of its slow relaxation processes, involving (i) identification of the structural changes involved in these processes, and (ii) estimation of the rates or…

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

Characterizing conformational transitions in physical systems remains a fundamental challenge, as traditional sampling methods struggle with the high-dimensional nature of molecular systems and high-energy barriers between stable states.…

化学物理 · 物理学 2025-09-22 Magnus Petersen , Gemma Roig , Roberto Covino

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

Markov state models represent a popular means to interpret molecular dynamics trajectories in terms of memoryless transitions between metastable conformational states. To provide a mechanistic understanding of the considered biomolecular…

生物大分子 · 定量生物学 2023-06-08 Daniel Nagel , Sofia Sartore , Gerhard Stock

Experiments, in particular on biological systems, typically probe lower-dimensional observables which are projections of high-dimensional dynamics. In order to infer consistent models capturing the relevant dynamics of the system, it is…

统计力学 · 物理学 2025-11-18 Xizhu Zhao , Dmitrii E. Makarov , Aljaž Godec

The definition of metastable states is an ubiquitous task in the design and analysis of molecular simulations, and is a crucial input in a variety of acceleration methods for the sampling of long configurational trajectories. Although…

计算物理 · 物理学 2026-04-16 Noé Blassel , Tony Lelièvre , Gabriel Stoltz

We introduce a machine learning approach for extracting fine-grained representations of protein evolution from molecular dynamics datasets. Metastable switching linear dynamical systems extend standard switching models with a…

机器学习 · 统计学 2016-10-07 Bharath Ramsundar , Vijay S. Pande

The conformational kinetics of enzymes can be reliably revealed when they are governed by Markovian dynamics. Hidden Markov Models (HMMs) are appropriate especially in the case of conformational states that are hardly distinguishable.…

定量方法 · 定量生物学 2009-02-05 A. Kovalev , N. Zarrabi , F. Werz , M. Boersch , Z. Ristic , H. Lill , D. Bald , C. Tietz , J. Wrachtrup

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

Learning a Markov Decision Process (MDP) from a fixed batch of trajectories is a non-trivial task whose outcome's quality depends on both the amount and the diversity of the sampled regions of the state-action space. Yet, many MDPs are…

机器学习 · 计算机科学 2022-03-08 Giorgio Angelotti , Nicolas Drougard , Caroline P. C. Chanel

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

Mini-proteins and peptides manifest dynamic conformational fluctuation and involve mutual interconversion among metastable states. A robust mapping of the conformational landscape underlying mini-proteins and peptides often requires…

化学物理 · 物理学 2021-09-29 Satyabrata Bandyopadhyay , Jagannath Mondal

We present a maximum-caliber method for inferring transition rates of a Markov State Model (MSM) with perturbed equilibrium populations, given estimates of state populations and rates for an unperturbed MSM. It is similar in spirit to…

生物大分子 · 定量生物学 2016-05-26 Vincent A. Voelz , Guangfeng Zhou , Hongbin Wan

This paper studies how to find compact state embeddings from high-dimensional Markov state trajectories, where the transition kernel has a small intrinsic rank. In the spirit of diffusion map, we propose an efficient method for learning a…

机器学习 · 计算机科学 2019-10-29 Yifan Sun , Yaqi Duan , Hao Gong , Mengdi Wang

We present a novel machine learning approach to understanding conformation dynamics of biomolecules. The approach combines kernel-based techniques that are popular in the machine learning community with transfer operator theory for…

计算物理 · 物理学 2019-01-24 Stefan Klus , Andreas Bittracher , Ingmar Schuster , Christof Schütte
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