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This paper presents novel decomposition classes of chemical reaction networks (CRNs) derived from S-system kinetics. Based on the network decomposition theory initiated by Feinberg in 1987, we introduce the concept of incidence independent…

动力系统 · 数学 2020-03-04 Honeylou F. Farinas , Eduardo R. Mendoza , Angelyn R. Lao

A chemical reaction mechanism (CRM) is a sequence of molecular-level events involving bond-breaking/forming processes, generating transient intermediates along the reaction pathway as reactants transform into products. Understanding such…

化学物理 · 物理学 2024-07-16 Ajnabiul Hoque , Manajit Das , Mayank Baranwal , Raghavan B. Sunoj

Timing is of fundamental importance in biology and our life. Borrowing ideas from mechanism, we map our clock signals onto a gear system, in pursuit of better depiction of a clock signal implemented with chemical reaction networks (CRNs).…

分子网络 · 定量生物学 2018-02-23 Chuan Zhang , Lulu Ge , Xiaohu You

We address a fundamental question: under which conditions do the dynamics and thermodynamics of open chemical reaction networks (CRNs), grounded on the notion of idealized chemostats that exchange selected species, emerge from underlying…

统计力学 · 物理学 2026-04-17 Benedikt Remlein , Massimiliano Esposito , Francesco Avanzini

We present here a combination of two networks, Recurrent Neural Networks (RNN) and Temporarily Convolutional Neural Networks (TCN) in de novo reaction generation using the novel Reaction Smiles-like representation of reactions (CGRSmiles)…

机器学习 · 计算机科学 2023-11-03 Andrei Buin , Hung Yi Chiang , S. Andrew Gadsden , Faraz A. Alderson

Many important phenomena in biochemistry and biology exploit dynamical features such as multi-stability, oscillations, and chaos. Construction of novel chemical systems with such rich dynamics is a challenging problem central to the fields…

分子网络 · 定量生物学 2026-05-04 Alexander Dack , Benjamin Qureshi , Thomas E. Ouldridge , Tomislav Plesa

Existing Collaborative Filtering (CF) methods are mostly designed based on the idea of matching, i.e., by learning user and item embeddings from data using shallow or deep models, they try to capture the associative relevance patterns in…

信息检索 · 计算机科学 2021-05-04 Hanxiong Chen , Shaoyun Shi , Yunqi Li , Yongfeng Zhang

We introduce a class of convolutional neural networks (CNNs) that utilize recurrent neural networks (RNNs) as convolution filters. A convolution filter is typically implemented as a linear affine transformation followed by a non-linear…

计算与语言 · 计算机科学 2018-08-29 Yi Yang

Relational learning deals with data that are characterized by relational structures. An important task is collective classification, which is to jointly classify networked objects. While it holds a great promise to produce a better accuracy…

机器学习 · 计算机科学 2016-11-30 Trang Pham , Truyen Tran , Dinh Phung , Svetha Venkatesh

We show that adding new chemical species into the reactions of a chemical reaction network (CRN) in such a way that the rank of the network remains unchanged preserves its capacity for multiple nondegenerate equilibria and/or periodic…

动力系统 · 数学 2022-09-14 Murad Banaji , Balázs Boros , Josef Hofbauer

Many modern numerical methods in computational science and engineering rely on derivatives of mathematical models for the phenomena under investigation. The computation of these derivatives often represents the bottleneck in terms of…

计算复杂性 · 计算机科学 2021-10-27 Uwe Naumann

An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction networks (CRNs) with mass action kinetics.

动力系统 · 数学 2015-03-19 Gabor Szederkenyi , Katalin M. Hangos , Zsolt Tuza

This thesis investigates effectful declarative programming with an emphasis on non-determinism as an effect. On the one hand, we are interested in developing applications using non-determinism as underlying implementation idea. We discuss…

编程语言 · 计算机科学 2020-06-03 Sandra Dylus

Biomolecular networks underpin emerging technologies in synthetic biology-from robust biomanufacturing and metabolic engineering to smart therapeutics and cell-based diagnostics-and also provide a mechanistic language for understanding…

定量方法 · 定量生物学 2026-03-02 Maurice Filo , Nicolò Rossi , Zhou Fang , Mustafa Khammash

We examine reaction networks (CRNs) through their associated continuous-time Markov processes. Studying the dynamics of such networks is in general hard, both analytically and by simulation. In particular, stationary distributions of…

概率论 · 数学 2022-03-28 Linard Hoessly

Autocatalysis is an important feature of metabolic networks, contributing crucially to the self-maintenance of organisms. Autocatalytic subsystems of chemical reaction networks (CRNs) are characterized in terms of algebraic conditions on…

分子网络 · 定量生物学 2026-05-06 Richard Golnik , Thomas Gatter , Peter F. Stadler , Nicola Vassena

Convoulutional Neural Networks (CNNs) exhibit extraordinary performance on a variety of machine learning tasks. However, their mathematical properties and behavior are quite poorly understood. There is some work, in the form of a framework,…

其他统计学 · 统计学 2016-10-30 Jayanth Koushik

As demonstrated in many areas of real-life applications, neural networks have the capability of dealing with high dimensional data. In the fields of optimal control and dynamical systems, the same capability was studied and verified in many…

机器学习 · 计算机科学 2020-12-04 Wei Kang , Qi Gong

Convolutional Neural Networks (CNNs) have been widely applied. But as the CNNs grow, the number of arithmetic operations and memory footprint also increase. Furthermore, typical non-linear activation functions do not allow associativity of…

机器学习 · 计算机科学 2021-11-10 Eduardo Vera Sousa , Leandro A. F. Fernandes , Cristina Nader Vasconcelos

Metal energy carriers recently gained growing interest in research as a promising storage and transport material for renewable electricity. Within the development of a metal-fueled circular energy economy, research involves a model…