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The behavior of some stochastic chemical reaction networks is largely unaffected by slight inaccuracies in reaction rates. We formalize the robustness of state probabilities to reaction rate deviations, and describe a formal connection…

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Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important examples include gene expression and enzymatic processes in living cells. Such systems are typically modelled as chemical reaction networks whose…

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Stereoisomers have the same molecular formula and the same atom connectivity and their existence can be related to the presence of different three-dimensional arrangements. Stereoisomerism is of great importance in many different fields…

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The advent of Scientific Machine Learning has heralded a transformative era in scientific discovery, driving progress across diverse domains. Central to this progress is uncovering scientific laws from experimental data through symbolic…

Methodology · Statistics 2025-09-25 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick

Machine learning models have recently emerged to predict whether hypothetical solid-state materials can be synthesized. These models aim to circumvent direct first-principles modeling of solid-state phase transformations, instead learning…

Materials Science · Physics 2026-02-05 Jane Schlesinger , Simon Hjaltason , Nathan J. Szymanski , Christopher J. Bartel

We present a novel multiscale simulation approach for modeling stochasticity in chemical reaction networks. The approach seamlessly integrates exact-stochastic and "leaping" methodologies into a single "partitioned leaping" algorithmic…

Chemical Physics · Physics 2009-11-11 Leonard A. Harris , Paulette Clancy

We consider regression problems where the number of predictors greatly exceeds the number of observations. We propose a method for variable selection that first estimates the regression function, yielding a "pre-conditioned" response…

Statistics Theory · Mathematics 2013-04-16 Debashis Paul , Eric Bair , Trevor Hastie , Robert Tibshirani

Autonomous reaction network exploration algorithms offer a systematic approach to explore mechanisms of complex chemical processes. However, the resulting reaction networks are so vast that an exploration of all potentially accessible…

Chemical Physics · Physics 2024-06-12 Miguel Steiner , Markus Reiher

Stereo matching plays a crucial role in various applications, where understanding uncertainty can enhance both safety and reliability. Despite this, the estimation and analysis of uncertainty in stereo matching have been largely overlooked.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Wenxiao Cai , Dongting Hu , Ruoyan Yin , Jiankang Deng , Huan Fu , Wankou Yang , Mingming Gong

Fluorescent and luminescent gene reporters allow us to dynamically quantify changes in molecular species concentration over time on the single cell level. The mathematical modeling of their interaction through multivariate dynamical models…

Quantitative Methods · Quantitative Biology 2009-07-07 Michal Komorowski , Barbel Finkenstadt , Claire V. Harper , David A. Rand

Reaction prediction is a fundamental problem in computational chemistry. Existing approaches typically generate a chemical reaction by sampling tokens or graph edits sequentially, conditioning on previously generated outputs. These…

Chemical Physics · Physics 2021-02-08 Hangrui Bi , Hengyi Wang , Chence Shi , Jian Tang

We analyze a class of chemical reaction networks under mass-action kinetics and involving multiple time-scales, whose deterministic and stochastic models display qualitative differences. The networks are inspired by gene-regulatory…

Molecular Networks · Quantitative Biology 2018-01-30 Tomislav Plesa , Radek Erban , Hans G. Othmer

The development of mechanistic models of biological systems is a central part of Systems Biology. One major task in developing these models is the inference of the correct model parameters. Due to the size of most realistic models and their…

Quantitative Methods · Quantitative Biology 2016-06-28 Jan Mikelson , Mustafa Khammash

We propose a new model for making generalizable and diverse retrosynthetic reaction predictions. Given a target compound, the task is to predict the likely chemical reactants to produce the target. This generative task can be framed as a…

Machine Learning · Computer Science 2019-10-23 Benson Chen , Tianxiao Shen , Tommi S. Jaakkola , Regina Barzilay

Machine learning (ML) has been playing important roles in drug discovery in the past years by providing (pre-)screening tools for prioritising chemical compounds to pass through wet lab experiments. One of the main ML tasks in drug…

Biomolecules · Quantitative Biology 2025-02-25 Alex G. C. de Sá , David B. Ascher

Stochastic resetting, the procedure of stopping and re-initializing random processes, has recently emerged as a powerful tool for accelerating processes ranging from queuing systems to molecular simulations. However, its usefulness is…

Statistical Mechanics · Physics 2025-03-18 Tommer D. Keidar , Ofir Blumer , Barak Hirshberg , Shlomi Reuveni

The identification of synthetic routes that end with a desired product has been an inherently time-consuming process that is largely dependent on expert knowledge regarding a limited fraction of the entire reaction space. At present,…

Machine Learning · Statistics 2020-12-17 Zhongliang Guo , Stephen Wu , Mitsuru Ohno , Ryo Yoshida

The key to successful drug design lies in the correct comprehension of protein-ligand interactions. Within the current knowledge paragm, these interactions can be described from both thermodynamic and kinetic perspectives. In recent years,…

Quantitative Methods · Quantitative Biology 2025-11-04 Jingyuan Li

The interplay between stochastic chemical reactions and diffusion can generate rich spatiotemporal patterns. While the timescale for individual reaction or diffusion events may be very fast, the timescales for organization can be much…

Statistical Mechanics · Physics 2023-12-12 Schuyler B. Nicholson , Todd R. Gingrich

In recent years, conventional chemistry techniques have faced significant challenges due to their inherent limitations, struggling to cope with the increasing complexity and volume of data generated in contemporary research endeavors.…

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