Markov state models: From an art to a science
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 …
such as molecular dynamics (MD) simulations, that have gained widespread use over the …
Markov state models of biomolecular conformational dynamics
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 …
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 …
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
Markov State Models (MSMs) provide an automated framework to investigate the dynamical
properties of high-dimensional molecular simulations. These models can provide a human …
properties of high-dimensional molecular simulations. These models can provide a human …
To milliseconds and beyond: challenges in the simulation of protein folding
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 …
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
Markov state models (MSMs) based on molecular dynamics (MD) simulations are routinely
employed to study protein folding, however, their application to functional conformational …
employed to study protein folding, however, their application to functional conformational …
MSMBuilder2: modeling conformational dynamics on the picosecond to millisecond scale
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 …
rates in the conformational dynamics of biomolecules. We describe an improved protocol for …
Variational approach to molecular kinetics
The eigenvalues and eigenvectors of the molecular dynamics propagator (or transfer
operator) contain the essential information about the molecular thermodynamics and …
operator) contain the essential information about the molecular thermodynamics and …
A variational approach to modeling slow processes in stochastic dynamical systems
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 …
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
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 …
techniques, which yield a low-dimensional set of collective variables (CVs){xi}= x that in …