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Branching processes are a class of continuous-time Markov chains (CTMCs) with ubiquitous applications. A general difficulty in statistical inference under partially observed CTMC models arises in computing transition probabilities when the…

统计计算 · 统计学 2015-03-10 Jason Xu , Vladimir N. Minin

Weighted ensemble (WE) is an enhanced path-sampling method that is conceptually simple, widely applicable, and statistically exact. In a WE simulation, an ensemble of trajectories is periodically pruned or replicated to enhance sampling of…

Sampling all possible transition paths between two 3D states of a molecular system has various applications ranging from catalyst design to drug discovery. Current approaches to sample transition paths use Markov chain Monte Carlo and rely…

定量方法 · 定量生物学 2024-05-29 Michael Plainer , Hannes Stärk , Charlotte Bunne , Stephan Günnemann

The development of enhanced sampling methods has greatly extended the scope of atomistic simulations, allowing long-time phenomena to be studied with accessible computational resources. Many such methods rely on the identification of an…

计算物理 · 物理学 2022-06-08 Luigi Bonati , GiovanniMaria Piccini , Michele Parrinello

We review two recently developed efficient methods for calculating rate constants of processes dominated by rare events in high-dimensional complex systems. The first is transition interface sampling (TIS), based on the measurement of…

统计力学 · 物理学 2009-11-10 Titus S. van Erp , Peter G. Bolhuis

We propose a new Monte Carlo method for efficiently sampling trajectories with fixed initial and final conditions in a system with discrete degrees of freedom. The method can be applied to any stochastic process with local interactions,…

统计力学 · 物理学 2012-03-30 Thierry Mora , Aleksandra M. Walczak , Francesco Zamponi

We introduce an extension to the Weighted Ensemble (WE) path sampling method to restrict sampling to a one dimensional path through a high dimensional phase space. Our method, which is based on the finite-temperature string method, permits…

统计力学 · 物理学 2013-01-25 Joshua L. Adelman , Michael Grabe

Transition Path Theory (TPT) provides a rigorous framework to investigate the dynamics of rare thermally activated transitions. In this theory, a central role is played by the forward committor function q^+(x), which provides the ideal…

统计力学 · 物理学 2018-08-15 G. Bartolucci , S. Orioli , P. Faccioli

We previously developed an algorithm, called resolution exchange, which improves canonical sampling of atomic resolution models by swapping conformations between high- and low-resolution simulations[1]. Here, we demonstrate a generally…

生物物理 · 物理学 2007-05-23 Edward Lyman , Daniel M. Zuckerman

We present a method to study rare nonadiabatic dynamics in open quantum systems using transition path sampling and quantum jump trajectories. As with applications of transition path sampling to classical dynamics, the method does not rely…

统计力学 · 物理学 2021-12-08 Addison J. Schile , David T. Limmer

A comprehensive description of molecular electron transfer reactions is essential for our understanding of fundamental phenomena in bio-energetics and molecular electronics. Experimental studies of molecular systems in condensed-phase…

Molecular dynamics simulations are widely used across chemistry, physics, and biology, providing quantitative insight into complex processes with atomic detail. However, their limited timescale of a few microseconds is a significant…

化学物理 · 物理学 2025-04-10 Ofir Blumer , Barak Hirshberg

Particle and ensemble filters are increasingly utilized for inference, optimization, and forecast; however, both filtering methods use discrete distributions to simulate continuous state space, a drawback that can lead to degraded…

统计方法学 · 统计学 2014-03-27 Wan Yang , Jeffrey Shaman

Molecular dynamics is a powerful tool for studying the thermodynamics and kinetics of complex molecular events. However, these simulations can rarely sample the required time scales in practice. Transition path sampling overcomes this…

化学物理 · 物理学 2023-07-31 Gianmarco Lazzeri , Hendrik Jung , Peter G. Bolhuis , Roberto Covino

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

材料科学 · 物理学 2016-08-03 Bastian Schaefer , Stefan Goedecker

Sampled structure sequences obtained, for instance, from real-time reactivity explorations or first-principles molecular dynamics simulations contain valuable information about chemical reactivity. Eventually, such sequences allow for the…

化学物理 · 物理学 2018-04-25 Michael A. Heuer , Alain C. Vaucher , Moritz P. Haag , Markus Reiher

Statistical model checking avoids the exponential growth of states associated with probabilistic model checking by estimating properties from multiple executions of a system and by giving results within confidence bounds. Rare properties…

性能 · 计算机科学 2012-01-26 Cyrille Jégourel , Axel Legay , Sean Sedwards

Assessing the time scale of biological processes using molecular dynamics (MD) simulations with sufficient statistical accuracy is a challenging task, as processes are often rare and/or slow events, which may extend largely beyond the time…

计算物理 · 物理学 2026-02-16 Wouter Vervust , Elias Wils , Sina Safaei , Daniel T. Zhang , An Ghysels

Molecular transitions -- such as protein folding, allostery, and membrane transport -- are central to biology yet remain notoriously difficult to simulate. Their intrinsic rarity pushes them beyond reach of standard molecular dynamics,…

We present a molecular simulation method to simultaneously find multiple transition pathways, and their associated free-energy profiles. The scheme extends path-metadynamics (PMD) [Phys. Rev. Lett. 109, 020601 (2012)] with multiple paths…

统计力学 · 物理学 2025-06-23 Alberto Pérez de Alba Ortíz , Bernd Ensing