Markov state models: From an art to a science

BE Husic, VS Pande - Journal of the American Chemical Society, 2018 - ACS Publications
Markov state models (MSMs) are a powerful framework for analyzing dynamical systems,
such as molecular dynamics (MD) simulations, that have gained widespread use over the …

Markov state models of biomolecular conformational dynamics

JD Chodera, F Noé - Current opinion in structural biology, 2014 - Elsevier
It has recently become practical to construct Markov state models (MSMs) that reproduce the
long-time statistical conformational dynamics of biomolecules using data from molecular …

PyEMMA 2: A software package for estimation, validation, and analysis of Markov models

MK Scherer, B Trendelkamp-Schroer… - Journal of chemical …, 2015 - ACS Publications
Markov (state) models (MSMs) and related models of molecular kinetics have recently
received a surge of interest as they can systematically reconcile simulation data from either …

Improvements in Markov state model construction reveal many non-native interactions in the folding of NTL9

CR Schwantes, VS Pande - Journal of chemical theory and …, 2013 - ACS Publications
Markov State Models (MSMs) provide an automated framework to investigate the dynamical
properties of high-dimensional molecular simulations. These models can provide a human …

To milliseconds and beyond: challenges in the simulation of protein folding

TJ Lane, D Shukla, KA Beauchamp… - Current opinion in …, 2013 - Elsevier
Quantitatively accurate all-atom molecular dynamics (MD) simulations of protein folding
have long been considered a holy grail of computational biology. Due to the large system …

Markov state models to study the functional dynamics of proteins in the wake of machine learning

KA Konovalov, IC Unarta, S Cao, EC Goonetilleke… - JACS Au, 2021 - ACS Publications
Markov state models (MSMs) based on molecular dynamics (MD) simulations are routinely
employed to study protein folding, however, their application to functional conformational …

MSMBuilder2: modeling conformational dynamics on the picosecond to millisecond scale

KA Beauchamp, GR Bowman, TJ Lane… - Journal of chemical …, 2011 - ACS Publications
Markov state models provide a framework for understanding the fundamental states and
rates in the conformational dynamics of biomolecules. We describe an improved protocol for …

Variational approach to molecular kinetics

F Nuske, BG Keller, G Pérez-Hernández… - Journal of chemical …, 2014 - ACS Publications
The eigenvalues and eigenvectors of the molecular dynamics propagator (or transfer
operator) contain the essential information about the molecular thermodynamics and …

A variational approach to modeling slow processes in stochastic dynamical systems

F Noé, F Nuske - Multiscale Modeling & Simulation, 2013 - SIAM
The slow processes of metastable stochastic dynamical systems are difficult to access by
direct numerical simulation due to the sampling problems. Here, we suggest an approach for …

Perspective: Identification of collective variables and metastable states of protein dynamics

F Sittel, G Stock - The Journal of chemical physics, 2018 - pubs.aip.org
The statistical analysis of molecular dynamics simulations requires dimensionality reduction
techniques, which yield a low-dimensional set of collective variables (CVs){xi}= x that in …