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Chemical reaction networks (CRNs) are prototypical complex systems because reactions are nonlinear and connected in intricate ways, and they are also essential to understand living systems. Here, I discuss how recent developments in…

Statistical Mechanics · Physics 2020-12-23 Massimiliano Esposito

The design and synthesis of complex and large mimicked biochemical networks de novo is an unsolved problem in synthetic biology. To address this limitation without resorting to ad hoc computations and experiments, a predictive mathematical…

Biological Physics · Physics 2015-01-21 Eisuke Chikayama , R. Craig Everroad

Optimal operation of chemical processes is vital for energy, resource, and cost savings in chemical engineering. The problem of optimal operation can be tackled with reinforcement learning, but traditional reinforcement learning methods…

Machine Learning · Computer Science 2025-11-21 Dean Brandner , Sergio Lucia

A useful approach to the mathematical analysis of large-scale biological networks is based upon their decompositions into monotone dynamical systems. This paper deals with two computational problems associated to finding decompositions…

Molecular Networks · Quantitative Biology 2007-05-23 Bhaskar DasGupta , German Andres Enciso , Eduardo Sontag , Yi Zhang

We discuss a method to describe the qualitative dynamics of chemical reaction networks in terms of symbolic dynamics. The method, that can be applied to mass-action reaction networks with separated timescales, uses solutions of the partial…

Molecular Networks · Quantitative Biology 2022-05-17 Aurélien Desoeuvres , Peter Szmolyan , Ovidiu Radulescu

Molecular computation in chemical reaction networks (CRNs) now constitutes a foundational framework for designing programmable biological systems. However, prevailing design methodologies primarily treat parallelism of chemical reactions as…

Molecular Networks · Quantitative Biology 2025-12-09 Renlei Jiang , Chuanhou Gao , Denis Dochain

Estimating dense correspondences between images is a long-standing image under-standing task. Recent works introduce convolutional neural networks (CNNs) to extract high-level feature maps and find correspondences through feature matching.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Hao Huang , Jianchun Chen , Xiang Li , Lingjing Wang , Yi Fang

Given non-sequential snapshots from instances of a dynamical system, we design a compressed sensing based algorithm that reconstructs the dynamical system. On the theoretical side, we show that: (1) successful reconstruction is possible…

Genomics · Quantitative Biology 2025-11-24 Cliff Stein , Pratik Worah

Causal discovery is challenging in general dynamical systems because, without strong structural assumptions, the underlying causal graph may not be identifiable even from interventional data. However, many real-world systems exhibit…

Machine Learning · Computer Science 2026-04-07 Panayiotis Panayiotou , Özgür Şimşek

Graph transformation systems have the potential to be realistic models of chemistry, provided a comprehensive collection of reaction rules can be extracted from the body of chemical knowledge. A first key step for rule learning is the…

Discrete Mathematics · Computer Science 2016-04-22 Christoph Flamm , Daniel Merkle , Peter F. Stadler , Uffe Thorsen

Reaction and retrosynthesis prediction are fundamental tasks in computational chemistry that have recently garnered attention from both the machine learning and drug discovery communities. Various deep learning approaches have been proposed…

Machine Learning · Computer Science 2023-06-29 Ziqiao Meng , Peilin Zhao , Yang Yu , Irwin King

Deterministic reaction networks (RNs) are tools to model diverse biological phenomena characterized by particle systems, when there are abundant number of particles. Examples include but are not limited to biochemistry, molecular biology,…

Molecular Networks · Quantitative Biology 2021-07-22 Carsten Wiuf , Chuang Xu

This paper develops algorithms for high-dimensional stochastic control problems based on deep learning and dynamic programming. Unlike classical approximate dynamic programming approaches, we first approximate the optimal policy by means of…

Probability · Mathematics 2021-09-21 Côme Huré , Huyên Pham , Achref Bachouch , Nicolas Langrené

Robustness is pivotal for comprehending, designing, optimizing, and rehabilitating networks, with simulation attacks being the prevailing evaluation method. Simulation attacks are often time-consuming or even impractical, however, a more…

Social and Information Networks · Computer Science 2024-03-04 Wenjun Jiang , Peiyan Li , Tianlong Fan , Ting Li , Chuan-fu Zhang , Tao Zhang , Zong-fu Luo

We introduce KiNetX, a fully automated meta-algorithm for the kinetic analysis of complex chemical reaction networks derived from semi-accurate but efficient electronic structure calculations. It is designed to (i) accelerate the automated…

Chemical Physics · Physics 2019-01-11 Jonny Proppe , Markus Reiher

Simulating response properties of molecules is crucial for interpreting experimental spectroscopies and accelerating materials design. However, it remains a long-standing computational challenge for electronic structure methods on classical…

The quasi-steady state approximation and time-scale separation are commonly applied methods to simplify models of biochemical reaction networks based on ordinary differential equations (ODEs). The concentrations of the "fast" species are…

Dynamical Systems · Mathematics 2016-05-10 Meritxell Sáez , Carsten Wiuf , Elisenda Feliu

In this paper, we propose a new method to identify biochemical reaction networks (i.e. both reactions and kinetic parameters) from heterogeneous datasets. Such datasets can contain (a) data from several replicates of an experiment performed…

Systems and Control · Computer Science 2015-09-21 Wei Pan , Ye Yuan , Lennart Ljung , Jorge Goncalves , Guy-Bart Stan

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

The Chemical Reaction Network (CRN) is a well-studied model that describes the interaction of molecules in well-mixed solutions. In 2014, Qian and Winfree [22] proposed the abstract surface chemical reaction network model (sCRN), which…

Computational Complexity · Computer Science 2024-06-14 Yi-Xuan Lee , Ho-Lin Chen
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