In the last decade, the conformation dynamics approach to molecular dynamics, developed at ZIB more than a decade ago, has achieved a lot of attention in international research with almost a 1000 articles being published on the topic, nowadays mostly called "Markov State Models" (MSM). In MSM building the metastable sets (=main conformations) of a molecular system are identified and used as the macrostates for a Markov Chain that correctly models the long-term kinetics of the molecular system. MSMs have been studied for systems in equilibrium with considerable success but the generalization to nonequilibrium systems is still an open problem. This project aims at developing MSM building for nonequilibrium molecular dynamics.

Publications

2021
Analyzing Raman Spectral Data without Separabiliy Assumption Journal of Mathematical Chemistry, 3(59), pp. 575-596, 2021 Konstantin Fackeldey, Jonas Röhm, Amir Niknejad, Surahit Chewle, Marcus Weber BibTeX
arXiv
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
2018
Generalized Markov State Modeling Method for Nonequilibrium Biomolecular Dynamics: Exemplified on Amyloid β Conformational Dynamics Driven by an Oscillating Electric Field Journal of Chemical Theory and Computation, 14(7), pp. 3579-3594, 2018 Bernhard Reuter, Marcus Weber, Konstantin Fackeldey, Susanna Röblitz, Martin E. Garcia BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
Spectral Clustering for Non-reversible Markov Chains ZIB-Report 18-48 (Comp. Appl. Math., pp 1-16, https://doi.org/10.1007/s40314-018-0697-0) Konstantin Fackeldey, Alexander Sikorski, Marcus Weber PDF
BibTeX
URN
Markov State Models for Nonequilibrium Molecular Dynamics
2017
Importance sampling in path space for diffusion processes with slow-fast variables Probability Theory and Related Fields, pp. 1-52, 2017 Carsten Hartmann, Christof Schütte, Marcus Weber, Wei Zhang BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
2016
Finding dominant structures of nonreversible Markov processes Multiscale Modeling and Simulation, 14(4), pp. 1319-1340, 2016 (preprint available as ZIB-Report 15-40) Natasa Djurdjevac Conrad, Marcus Weber, Christof Schütte PDF (ZIB-Report)
BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
The Monte Carlo Computation Error of Transition Probabilities Statistics & Probability Letters, Vol.118, pp. 163-170, 2016 (preprint available as ZIB-Report 16-37) Adam Nielsen PDF (ZIB-Report)
BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
2015
Computing the nearest reversible Markov chain Numerical Linear Algebra with Applications, 22(3), pp. 483-499, 2015 (preprint available as ) Adam Nielsen, Marcus Weber BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
Markov State Models and Molecular Alchemy Molecular Physics, 113(1), pp. 69-78, 2015 (preprint available as ) Christof Schütte, Adam Nielsen, Marcus Weber BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
Modularity of Directed Networks: Cycle Decomposition Approach Journal of Computational Dynamics 2 (2015) pp. 1-24, 2015 (preprint available as ZIB-Report 14-31) Natasa Djurdjevac Conrad, Ralf Banisch, Christof Schütte PDF (ZIB-Report)
BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
2014
Applications of the cross-entropy method to importance sampling and optimal control of diffusions Siam Journal on Scientific Computing, 36(6), pp. A2654-A2672, 2014 (preprint available as ZIB-Report 14-10) Wei Zhang, Han Wang, Carsten Hartmann, Marcus Weber, Christof Schütte PDF (ZIB-Report)
BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
Markov Model Theory An Introduction to Markov State Models and Their Application to Long Timescale Molecular Simulation, Vol.797, pp. 23-44, Gregory R. Bowman, Vijay S. Pande, Frank Noé (Eds.), Springer, 2014 Marco Sarich, Christof Schütte BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
Modularity revisited: A novel dynamics-based concept for decomposing complex networks Journal of Computational Dynamics, 1(1), pp. 191-212, 2014 Marco Sarich, Natasa Djurdjevac Conrad, Sharon Bruckner, Tim Conrad, Christof Schütte PDF
BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
Utilizing hitting times for finding metastable sets in non-reversible Markov chains ZIB-Report 14-32 (To appear in: Journal of Comput. Dynamics) Marco Sarich, Christof Schütte PDF
BibTeX
URN
Markov State Models for Nonequilibrium Molecular Dynamics
2013
Markov State Models for Rare Events in Molecular Dynamics Entropy (Special Issue), 16(1), pp. 258-286, 2013 (preprint available as ) Marco Sarich, Ralf Banisch, Carsten Hartmann, Christof Schütte BibTeX
DOI
Markov State Models for Nonequilibrium Molecular Dynamics
2012
Random Walks on Complex Modular Networks Journal of Numerical Analysis, Industrial and Applied Mathematics, 6(1-2), pp. 29-50, 2012 Natasa Djurdjevac Conrad, Stefanie Bruckner, Tim Conrad, Christof Schütte BibTeX
Markov State Models for Nonequilibrium Molecular Dynamics