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 …

Structure and dynamics of molecular networks: a novel paradigm of drug discovery: a comprehensive review

P Csermely, T Korcsmáros, HJM Kiss, G London… - Pharmacology & …, 2013 - Elsevier
Despite considerable progress in genome-and proteome-based high-throughput screening
methods and in rational drug design, the increase in approved drugs in the past decade did …

Identification of slow molecular order parameters for Markov model construction

G Pérez-Hernández, F Paul, T Giorgino… - The Journal of …, 2013 - pubs.aip.org
A goal in the kinetic characterization of a macromolecular system is the description of its
slow relaxation processes via (i) identification of the structural changes involved in these …

Markov models of molecular kinetics: Generation and validation

JH Prinz, H Wu, M Sarich, B Keller, M Senne… - The Journal of …, 2011 - pubs.aip.org
Markov state models of molecular kinetics (MSMs), in which the long-time statistical
dynamics of a molecule is approximated by a Markov chain on a discrete partition of …

Molecular dynamics and protein function

M Karplus, J Kuriyan - … of the National Academy of Sciences, 2005 - National Acad Sciences
A fundamental appreciation for how biological macromolecules work requires knowledge of
structure and dynamics. Molecular dynamics simulations provide powerful tools for the …

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 …

Analyzing and modeling real-world phenomena with complex networks: a survey of applications

LF Costa, ON Oliveira Jr, G Travieso… - Advances in …, 2011 - Taylor & Francis
The success of new scientific areas can be assessed by their potential in contributing to new
theoretical approaches and in applications to real-world problems. Complex networks have …

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 …

Principles and overview of sampling methods for modeling macromolecular structure and dynamics

T Maximova, R Moffatt, B Ma, R Nussinov… - PLoS computational …, 2016 - journals.plos.org
Investigation of macromolecular structure and dynamics is fundamental to understanding
how macromolecules carry out their functions in the cell. Significant advances have been …

Detecting fuzzy community structures in complex networks with a Potts model

J Reichardt, S Bornholdt - Physical review letters, 2004 - APS
A fast community detection algorithm based on aq-state Potts model is presented.
Communities (groups of densely interconnected nodes that are only loosely connected to …