skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Optimal Use of Data in Parallel Tempering Simulations for the Construction of Discrete-State Markov Models of Biomolecular Dynamics

Journal Article · · The Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.3592153· OSTI ID:1038825

Parallel tempering (PT) molecular dynamics simulations have been extensively investigated as a means of efficient sampling of the configurations of biomolecular systems. Recent work has demonstrated how the short physical trajectories generated in PT simulations of biomolecules can be used to construct the Markov models describing biomolecular dynamics at each simulated temperature. While this approach describes the temperature-dependent kinetics, it does not make optimal use of all available PT data, instead estimating the rates at a given temperature using only data from that temperature. This can be problematic, as some relevant transitions or states may not be sufficiently sampled at the temperature of interest, but might be readily sampled at nearby temperatures. Further, the comparison of temperature-dependent properties can suffer from the false assumption that data collected from different temperatures are uncorrelated. We propose here a strategy in which, by a simple modification of the PT protocol, the harvested trajectories can be reweighted, permitting data from all temperatures to contribute to the estimated kinetic model. The method reduces the statistical uncertainty in the kinetic model relative to the single temperature approach and provides estimates of transition probabilities even for transitions not observed at the temperature of interest. Further, the method allows the kinetics to be estimated at temperatures other than those at which simulations were run. We illustrate this method by applying it to the generation of a Markov model of the conformational dynamics of the solvated terminally blocked alanine peptide.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-00OR22725
OSTI ID:
1038825
Journal Information:
The Journal of Chemical Physics, Vol. 134, Issue 24; ISSN 0021-9606
Country of Publication:
United States
Language:
English

References (42)

Probability distributions of molecular observables computed from Markov models journal June 2008
Parallel tempering algorithm for conformational studies of biological molecules journal December 1997
Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules journal July 1967
Fast and slow tracks in lysozyme folding: insight into the role of domains in the folding process journal April 1997
Describing Protein Folding Kinetics by Molecular Dynamics Simulations. 1. Theory journal May 2004
Error analysis and efficient sampling in Markovian state models for molecular dynamics journal November 2005
Dynamical reweighting: Improved estimates of dynamical properties from simulations at multiple temperatures journal June 2011
Annealing Markov Chain Monte Carlo with Applications to Ancestral Inference journal September 1995
The folding mechanism of a β-sheet: the WW domain journal August 2001
Describing Protein Folding Kinetics by Molecular Dynamics Simulations. 2. Example Applications to Alanine Dipeptide and a β-Hairpin Peptide journal May 2004
Temperature Weighted Histogram Analysis Method, Replica Exchange, and Transition Paths journal April 2005
Generalized-ensemble algorithms for molecular simulations of biopolymers journal January 2001
Multidimensional adaptive umbrella sampling: Applications to main chain and side chain peptide conformations journal September 1997
A protein folding pathway with multiple folding intermediates at atomic resolution journal March 2005
Optimized Monte Carlo data analysis journal September 1989
THE weighted histogram analysis method for free-energy calculations on biomolecules. I. The method journal October 1992
Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes journal March 1977
Hierarchical analysis of conformational dynamics in biomolecules: Transition networks of metastable states journal April 2007
A Large Collapsed-state RNA Can Exhibit Simple Exponential Single-molecule Dynamics journal May 2008
Automatic discovery of metastable states for the construction of Markov models of macromolecular conformational dynamics journal April 2007
Peptide folding kinetics from replica exchange molecular dynamics journal March 2008
Calculation of the distribution of eigenvalues and eigenvectors in Markovian state models for molecular dynamics journal June 2007
Dynamical corrections to transition state theory for multistate systems: Surface self‐diffusion in the rare‐event regime journal January 1985
On the Approximation Quality of Markov State Models journal January 2010
Intrinsic dynamics of an enzyme underlies catalysis journal November 2005
Exchange Monte Carlo Method and Application to Spin Glass Simulations journal June 1996
Statistically optimal analysis of samples from multiple equilibrium states journal September 2008
Observation of a Power-Law Memory Kernel for Fluctuations within a Single Protein Molecule journal May 2005
Replica-exchange molecular dynamics method for protein folding journal November 1999
Enzyme Dynamics During Catalysis journal February 2002
Coarse Master Equations for Peptide Folding Dynamics journal May 2008
Dynamical aspects of precursor state kinetics journal November 1981
Enhanced Modeling via Network Theory: Adaptive Sampling of Markov State Models journal February 2010
A microscopic view of miniprotein folding: Enhanced folding efficiency through formation of an intermediate journal November 2005
Single-molecule folding journal February 2003
Analyzing biased Monte Carlo and molecular dynamics simulations journal December 2000
Use of the Weighted Histogram Analysis Method for the Analysis of Simulated and Parallel Tempering Simulations journal November 2006
Multiple pathways on a protein-folding energy landscape: Kinetic evidence journal March 1999
ETNA: Equilibrium Transitions Network and Arrhenius Equation for Extracting Folding Kinetics from REMD Simulations journal March 2009
Molecular dynamics simulations at constant pressure and/or temperature journal February 1980
Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions journal January 1968
Long‐Time Protein Folding Dynamics from Short‐Time Molecular Dynamics Simulations journal January 2006