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Molecular dynamics simulations have the potential to provide atomic-level detail and insight to important questions in chemical physics that cannot be observed in typical experiments. However, simply generating a long trajectory is…

Chemical Physics · Physics 2015-06-22 Christian R. Schwantes , Robert T. McGibbon , Vijay S. Pande

A major challenge in biology is to understand how molecular processes determine phenotypic features. We address this fundamental problem in a class of model systems by developing a general mathematical framework that allows the calculation…

Molecular Networks · Quantitative Biology 2014-02-25 Nils Christian , Alexander Skupin , Silvia Morante , Karl Jansen , Giancarlo Rossi , Oliver Ebenhöh

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…

Chemical Physics · Physics 2016-02-12 Joseph F. Rudzinski , Kurt Kremer , Tristan Bereau

Molecular Dynamics simulations are essential tools for understanding the dynamic behavior of biomolecules, yet extracting meaningful molecular pathways from these simulations remains challenging due to the vast amount of generated data. In…

Chemical Physics · Physics 2025-01-07 Luca Donati , Surahit Chewle , Dominik St. Pierre , Vijay Natarajan , Marcus Weber

Molecular Dynamics (MD) is a powerful computational microscope for probing protein functions. However, the need for fine-grained integration and the long timescales of biomolecular events make MD computationally expensive. To address this,…

Machine Learning · Computer Science 2026-03-30 Kacper Kapuśniak , Cristian Gabellini , Michael Bronstein , Prudencio Tossou , Francesco Di Giovanni

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…

Biological Physics · Physics 2015-06-18 Matthew R. Perkett , Michael F. Hagan

The ISOKANN (Invariant Subspaces of Koopman Operators Learned by Artificial Neural Networks) framework provides a data-driven route to extract collective variables (CVs) and effective dynamics from complex molecular systems. In this work,…

Dynamical Systems · Mathematics 2026-04-08 Alexander Sikorski , Luca Donati , Marcus Weber , Christof Schütte

Markov state models (MSMs) have been widely used to analyze computer simulations of various biomolecular systems. They can capture conformational transitions much slower than an average or maximal length of a single molecular dynamics (MD)…

Biomolecules · Quantitative Biology 2018-02-14 Anton V. Sinitskiy , Vijay S. Pande

This chapter reviews how molecular dynamics simulations, experimental data, and Markov state models can synergize to map-out the mechanism of protein-protein association and dissociation.

Biological Physics · Physics 2021-05-07 Simon Olsson

Machine learning techniques not only offer efficient tools for modelling dynamical systems from data, but can also be employed as frontline investigative instruments for the underlying physics. Nontrivial information about the original…

Data Analysis, Statistics and Probability · Physics 2021-02-24 Francesco Borra , Marco Baldovin

Markov state models (MSMs) are valuable for studying dynamics of protein conformational changes via statistical analysis of molecular dynamics (MD) simulations. In MSMs, the complex configuration space is coarse-grained into conformational…

Biological Physics · Physics 2024-06-11 Dedi Wang , Yunrui Qiu , Eric Beyerle , Xuhui Huang , Pratyush Tiwary

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…

Chemical Physics · Physics 2015-06-17 Frank Noe , Hao Wu , Jan-Hendrik Prinz , Nuria Plattner

Binding and unbinding of ligands to specific sites of a macromolecule are one of the most elementary molecular interactions inside the cell that embody the computational processes of biological regulations. The interaction between…

Molecular Networks · Quantitative Biology 2011-11-10 Hidenori Kimura , Hiroyuki Okano , Reiko J. Tanaka

We distinguish a mechanical representation of the world in terms of point masses with positions and momenta and the chemical representation of the world in terms of populations of different individuals, each with intrinsic stochasticity,…

Statistical Mechanics · Physics 2019-05-07 Hong Qian

Molecular dynamics (MD) simulations can model the interactions between macromolecules with high spatiotemporal resolution but at a high computational cost. By combining high-throughput MD with Markov state models (MSMs), it is now possible…

Chemical Physics · Physics 2018-06-13 Manuel Dibak , Mauricio J. del Razo , David De Sancho , Christof Schütte , Frank Noé

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…

Statistical Mechanics · Physics 2026-05-11 Caitlin A. McCandler , Chatipat Lorpaiboon , Timothy C. Berkelbach , Jutta Rogal

With recent advances in structural biology, including experimental techniques and deep learning-enabled high-precision structure predictions, molecular dynamics methods that scale up to large biomolecular systems are required. Current…

Biological Physics · Physics 2022-06-24 Tim Hempel , Simon Olsson , Frank Noé

The main subject of the thesis is the study of stationary nonequilibrium states trough the use of microscopic stochastic models that encode the physical interaction in the rules of Markovian dynamics for particles configurations. These…

Statistical Mechanics · Physics 2023-02-07 Leonardo De Carlo

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…

Soft Condensed Matter · Physics 2025-01-17 Sofia Sartore , Franziska Teichmann , Gerhard Stock

Many ion channels spontaneously switch between different levels of activity. Although this behaviour known as modal gating has been observed for a long time it is currently not well understood. Despite the fact that appropriately…

Quantitative Methods · Quantitative Biology 2018-08-14 Ivo Siekmann , Mark Fackrell , Edmund J. Crampin , Peter Taylor
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