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The reaction-diffusion master equation (RDME) is commonly used to model processes where both the spatial and stochastic nature of chemical reactions need to be considered. We show that the RDME in many cases is inconsistent with a…

Quantitative Methods · Quantitative Biology 2009-05-29 Paul Sjoberg , Otto G Berg , Johan Elf

Originating from the pioneering study of Alan Turing, the bifurcation analysis predicting spatial pattern formation from a spatially uniform state for diffusing morphogens or chemical species that interact through nonlinear reactions is a…

Pattern Formation and Solitons · Physics 2023-01-18 Merlin Pelz , Michael J. Ward

Drug-drug interaction(DDI) prediction is an important task in the medical health machine learning community. This study presents a new method, multi-view graph contrastive representation learning for drug-drug interaction prediction,…

Machine Learning · Computer Science 2021-04-13 Yingheng Wang , Yaosen Min , Xin Chen , Ji Wu

Predicting the ground-state 3D molecular conformations from 2D molecular graphs is critical in computational chemistry due to its profound impact on molecular properties. Deep learning (DL) approaches have recently emerged as promising…

Chemical Physics · Physics 2024-10-22 Taewon Kim , Hyunjin Seo , Sungsoo Ahn , Eunho Yang

Fast and accurate simulation of complex chemical systems in environments such as solutions is a long standing challenge in theoretical chemistry. In recent years, machine learning has extended the boundaries of quantum chemistry by…

Chemical Physics · Physics 2020-11-05 Michael Gastegger , Kristof T. Schütt , Klaus-Robert Müller

Many cellular and subcellular biological processes can be described in terms of diffusing and chemically reacting species (e.g. enzymes). Such reaction-diffusion processes can be mathematically modelled using either deterministic…

Biological Physics · Physics 2015-06-26 Radek Erban , S. Jonathan Chapman

Machine learning for molecular property prediction has focused largely on pure compounds, even though many practical applications depend on mixtures with intermolecular interactions. Recent work has expanded the availability of mixture…

Machine Learning · Computer Science 2026-05-29 Roel J. Leenhouts , Nathan K. Morgan , William Green , Jan G. Rittig , Florence H. Vermeire

The interactions between diffusing molecules and membrane-bound receptors drive numerous cellular processes. In this work, we develop a spatial model of molecular interactions with membrane receptors by homogenizing the cell membrane and…

Quantitative Methods · Quantitative Biology 2025-01-24 Anil Cengiz , Sean D Lawley

Chemical databases store information in text representations, and the SMILES format is a universal standard used in many cheminformatics software. Encoded in each SMILES string is structural information that can be used to predict complex…

Machine Learning · Statistics 2018-08-16 Garrett B. Goh , Nathan O. Hodas , Charles Siegel , Abhinav Vishnu

The mechanisms underlying chemifriction, i.e. the contribution of interfacial bonding to friction in defected twisted graphene interfaces are revealed using fully atomistic machine-learning molecular dynamics simulations. This involves…

Mesoscale and Nanoscale Physics · Physics 2025-03-20 Penghua Ying , Xiang Gao , Amir Natan , Michael Urbakh , Oded Hod

Predicting reaction outcomes across continuous solvent composition ranges remains a critical challenge in organic synthesis and process chemistry. Traditional machine learning approaches often treat solvent identity as a discrete…

Machine Learning · Computer Science 2025-12-23 Hongsheng Xing , Qiuxin Si

Models based on machine learning can enable accurate and fast molecular property predictions, which is of interest in drug discovery and material design. Various supervised machine learning models have demonstrated promising performance,…

Machine Learning · Computer Science 2022-12-15 Jerret Ross , Brian Belgodere , Vijil Chenthamarakshan , Inkit Padhi , Youssef Mroueh , Payel Das

Spurious correlations in training data significantly hinder the generalization capability of machine learning models when faced with distribution shifts, leading to the proposition of numberous debiasing methods. However, it remains to be…

Machine Learning · Computer Science 2025-05-22 Peng Kuang , Zhibo Wang , Zhixuan Chu , Jingyi Wang , Kui Ren

Machine learning has emerged as a powerful tool for predicting molecular properties in chemical reaction networks with reduced computational cost. However, accurately predicting energies of transition state (TS) structures remains a…

Chemical Physics · Physics 2025-04-29 Stefan Gugler , Markus Reiher

A new upscaling procedure that provides 1D representations of 2D mixing-limited reactive transport systems is developed and applied. A key complication with upscaled models in this setting is that the procedure must differentiate between…

Fluid Dynamics · Physics 2022-10-05 Ricardo H. Deucher , Louis J. Durlofsky

Chemistry as an unconventional computing medium presently lacks a systematic approach to gather, store, and sort data over time. To build more complicated systems in chemistries, the ability to look at data in the past would be a valuable…

Molecular Networks · Quantitative Biology 2015-04-02 Josh Moles , Peter Banda , Christof Teuscher

Identifying minimum-energy paths (MEPs) is crucial for understanding chemical reaction mechanisms but remains computationally demanding. We introduce MEPIN, a scalable machine-learning method for efficiently predicting MEPs from reactant…

Chemical Physics · Physics 2026-02-18 Juno Nam , Miguel Steiner , Max Misterka , Soojung Yang , Avni Singhal , Rafael Gómez-Bombarelli

Predicting the outcome of liquid droplet collisions is an extensively studied phenomenon but the current physics based models for predicting the outcomes are poor (accuracy $\approx 43\%$). The key weakness of these models is their limited…

Machine Learning · Computer Science 2021-10-04 Arpit Agarwal

Drug discovery remains a slow and expensive process that involves many steps, from detecting the target structure to obtaining approval from the Food and Drug Administration (FDA), and is often riddled with safety concerns. Accurate…

Quantitative Methods · Quantitative Biology 2025-08-22 Ali Vefghi , Zahed Rahmati , Mohammad Akbari

The reaction-diffusion master equation (RDME) is a model that allows for efficient on-lattice simulation of spatially resolved stochastic chemical kinetics. Compared to off-lattice hard-sphere simulations with Brownian Dynamics (BD) or…

Numerical Analysis · Mathematics 2017-09-06 Stefan Hellander , Andreas Hellander , Linda Petzold