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Transition state or minimum energy path finding methods constitute a routine component of the computational chemistry toolkit. Standard analysis involves trajectories conventionally plotted in terms of the relative energy to the initial…

Chemical Physics · Physics 2026-03-09 Rohit Goswami

Modular verification is a technique used to face the state explosion problem often encountered in the verification of properties of complex systems such as concurrent interactive systems. The modular approach is based on the observation…

Logic in Computer Science · Computer Science 2012-11-20 Peter Drábik , Andrea Maggiolo-Schettini , Paolo Milazzo

We present a method to sample reactive pathways via biased molecular dynamics simulations in trajectory space. We show that the use of enhanced sampling techniques enables unconstrained exploration of multiple reaction routes. Time…

Computational Physics · Physics 2020-07-15 Davide Mandelli , Barak Hirshberg , Michele Parrinello

Molecule synthesis through machine learning is one of the fundamental problems in drug discovery. Current data-driven strategies employ one-step retrosynthesis models and search algorithms to predict synthetic routes in a top-bottom manner.…

Machine Learning · Computer Science 2024-06-05 Songtao Liu , Hanjun Dai , Yue Zhao , Peng Liu

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

Quantifying the contributions, or weights, of comparisons or single studies to the estimates in a network meta-analysis (NMA) is an active area of research. We extend this to the contributions of paths to NMA estimates. We present a general…

The probability of trajectories of weakly diffusive processes to remain in the tubular neighbourhood of a smooth path is given by the Freidlin-Wentzell-Graham theory of large deviations. The most probable path between two states (the…

Statistical Mechanics · Physics 2020-08-12 Lukas Kikuchi , Rajesh Singh , Mike E. Cates , Ronojoy Adhikari

Ligand diffusion through proteins is a fundamental process governing biological signaling and enzymatic catalysis. The complex topology of protein tunnels results in difficulties with computing ligand escape pathways by standard molecular…

Chemical Physics · Physics 2019-03-21 Jakub Rydzewski , Wieslaw Nowak

We apply the minimum energy paths (MEPs) approach to study the helix unwinding transition in chiral nematic liquid crystals. A mechanism of the transition is determined by a MEP passing through a first order saddle point on the free energy…

Soft Condensed Matter · Physics 2020-01-08 Semen S. Tenishchev , Alexei D. Kiselev , Aleksei V. Ivanov , Valery M. Uzdin

Reaction mechanism search tools have demonstrated the ability to provide insights into likely products and rate-limiting steps of reacting systems. However, reactions involving several concerted bond changes - as can be found in many key…

Machine Learning · Computer Science 2025-10-15 Nicholas Casetti , Dylan Anstine , Olexandr Isayev , Connor W. Coley

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…

Chemical Physics · Physics 2018-04-25 Michael A. Heuer , Alain C. Vaucher , Moritz P. Haag , Markus Reiher

As decarbonization agendas mature, macro-energy systems modelling studies have increasingly focused on enhanced decision support methods that move beyond least-cost modelling to improve consideration of additional objectives and tradeoffs.…

Optimization and Control · Mathematics 2024-11-26 Michael Lau , Neha Patankar , Jesse D. Jenkins

A new method for finding the minimum free energy pathway (MFEP) of ions and small molecule transportation through a protein based on the three-dimensional reference interaction site model (3D-RISM) theory combined with the string method has…

Chemical Physics · Physics 2018-04-10 Norio Yoshida

Micro- and nano-scale systems driven by rapid changes in control parameters (control protocols) dissipate significant energy. In the fast-protocol limit, we find that protocols that minimize dissipation at fixed duration are universally…

Statistical Mechanics · Physics 2021-08-11 Steven Blaber , Miranda D. Louwerse , David A. Sivak

The global optimization have the very extensive applications in econometrics, science and engineering. However, the global optimization for non-convex objective functions is particularly difficult since most of the existing global…

Optimization and Control · Mathematics 2015-07-17 Da-Zheng Feng , Han-Zhe Feng , Hai-Qin Zhang

Model reduction methods are relevant when the computation time of a full convection-diffusion-reaction simulation based on detailed chemical reaction mechanisms is too large. In this article, we review a model reduction approach based on…

Computational Physics · Physics 2014-05-20 Dirk Lebiedz , Jochen Siehr

We consider partially observable Markov decision processes (POMDPs) with a set of target states and positive integer costs associated with every transition. The traditional optimization objective (stochastic shortest path) asks to minimize…

Artificial Intelligence · Computer Science 2016-05-12 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Anchit Gupta , Petr Novotný

Motivation: Stochastic reaction networks are a widespread model to describe biological systems where the presence of noise is relevant, such as in cell regulatory processes. Unfortu-nately, in all but simplest models the resulting discrete…

Quantitative Methods · Quantitative Biology 2021-01-12 Luca Cardelli , Isabel Cristina Perez-Verona , Mirco Tribastone , Max Tschaikowski , Andrea Vandin , Tabea Waizmann

In legged locomotion, the relationship between different gait behaviors and energy consumption must consider the full-body dynamics and the robot control as a whole, which cannot be captured by simple models. This work studies the robot…

Robotics · Computer Science 2021-05-04 Christopher McGreavy , Zhibin Li

Microkinetic models are key for evaluating industrial processes' efficiency and chemicals' environmental impact. Manual construction of these models is difficult and time-consuming, prompting a shift to automated methods. This study…

Computational Engineering, Finance, and Science · Computer Science 2025-03-12 Miguel Ángel de Carvalho Servia , King Kuok , Hii , Klaus Hellgardt , Dongda Zhang , Ehecatl Antonio del Rio Chanona
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