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Constructing Generalized Sample Transition Probabilities with Biased Simulations

delete2025-11-01
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PRE
AI
Y
Yanbin Wang
J
Jakub Rydzewski
M
Ming Chen *
DOI:10.1021/acs.jctc.5c01307delete
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Abstract

Abstract

En 中文
In molecular dynamics (MD) simulations, accessing transition probabilities between states is crucial for understanding kinetic information such as reaction paths and rates. However, standard MD simulations are hindered by the capacity to visit the states of interest, prompting the use of enhanced sampling to accelerate the process. Unfortunately, biased simulations alter the inherent probability distributions, making kinetic computations using techniques such as diffusion maps challenging. Here, we use a coarse-grained Markov chain to estimate the intrinsic pairwise transition probabilities between states sampled from a biased distribution. Our method, which we call the generalized sample transition probability (GSTP), can recover transition probabilities without relying on an underlying stochastic process and specifying the form of the kernel function, which is necessary for the diffusion map method. The proposed algorithm is validated on model systems such as a harmonic oscillator, Muller-Brown potential system, alanine dipeptide in vacuum, and met-enkephalin in solvent. The results demonstrate that GSTP effectively recovers the unbiased eigenvalues and eigenstates from the biased data. GSTP provides a general framework for analyzing kinetic information in complex systems, where biased simulations are necessary to access longer time scales.
Keywords:
FREE-ENERGY LANDSCAPE
COLLECTIVE VARIABLES
MOLECULAR-DYNAMICS
DIFFUSION MAPS
RARE EVENTS
EFFICIENT
KINETICS
METADYNAMICS
STATE

Journal

Journal of Chemical Theory and Computation cover
Journal of Chemical Theory and Computation
IF:
5.5
Papers:
1.1W
Citations:
5.4W

Organization

Purdue University System cover
Purdue University System
Scholars:
3.9W
Papers: 3.6W
Citations: 66
P
Purdue University
Scholars:
2.6W
Papers: 2.1W
Citations: 147