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The Turing completeness result for continuous chemical reaction networks (CRN) shows that any computable function over the real numbers can be computed by a CRN over a finite set of formal molecular species using at most bimolecular…

定量方法 · 定量生物学 2021-07-01 Mathieu Hemery , François Fages , Sylvain Soliman

The stochastic description of chemical reaction networks with the kinetic chemical master equation (CME) is important for studying biological cells, but it suffers from the curse of dimensionality: The amount of data to be stored grows…

数值分析 · 数学 2024-08-02 Lukas Einkemmer , Julian Mangott , Martina Prugger

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

Gaining insights from realistic dynamical models of biochemical systems can be challenging given their large number of state variables. Model reduction techniques can mitigate this by decreasing complexity by mapping the model onto a…

计算工程、金融与科学 · 计算机科学 2024-11-22 Alexander Leguizamon-Robayo , Antonio Jiménez-Pastor , Micro Tribastone , Max Tschaikowski , Andrea Vandin

Chemical Reaction Neural Networks (CRNNs) have emerged as an interpretable machine learning framework for discovering reaction kinetics directly from data, while strictly adhering to the Arrhenius and mass action laws. However, standard…

化学物理 · 物理学 2026-05-15 Benjamin C. Koenig , Sili Deng

Biochemical networks are the analog computers of life. They allow living cells to control a large number of biological processes, such as gene expression and cell signalling. In biochemical networks, the concentrations of the components are…

分子网络 · 定量生物学 2007-05-23 Jeroen S. van Zon , Pieter Rein ten Wolde

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

The historical quest for unifying the concepts and methods of Chemical Reaction Networks theory (CRNT), Mahematical Epidemiology (ME) and ecology has received increased attention in the last years and has led in particular to the…

动力系统 · 数学 2026-03-10 Florin Avram , Rim Adenane , Andrei-Dan Halanay

Blood coagulation is governed by tightly regulated reaction networks that unfold within a flowing, heterogeneous microvascular environment. Reduced kinetic models of the intrinsic and extrinsic pathways have seen limited in vitro…

流体动力学 · 物理学 2025-12-16 Marina Echeverria-Ferrero , Nicolas Moreno , Marco Ellero

The Chemical Reaction Networks (CRN) interpreted through the differential semantics, even when restricted to elementary reactions with mass action law kinetics, form a Turing-complete language. This means that any computable real function…

定量方法 · 定量生物学 2026-05-25 Mathieu Hemery

This paper is concerned with programming adaptive linear neural networks (ALNNs) using chemical reaction networks (CRNs) equipped with mass-action kinetics. Through individually programming the forward propagation and the backpropagation of…

动力系统 · 数学 2022-04-14 Yuzhen Fan , Xiaoyu Zhang , Chuanhou Gao

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

Chemical Species Tomography (CST) has been widely used for in situ imaging of critical parameters, e.g. species concentration and temperature, in reactive flows. However, even with state-of-the-art computational algorithms the method is…

图像与视频处理 · 电气工程与系统科学 2021-04-06 Yunfan Jiang , Jingjing Si , Rui Zhang , Godwin Enemali , Bin Zhou , Hugh McCann , Chang Liu

Simulating chemical reaction networks is often computationally demanding, in particular due to stiffness. We propose a novel simulation scheme where long runs are not simulated as a whole but assembled from shorter precomputed segments of…

计算机科学中的逻辑 · 计算机科学 2022-06-22 Martin Helfrich , Milan Češka , Jan Křetínský , Štefan Martiček

Activated processes from chemical reactions up to conformational transitions of large biomolecules are hampered by barriers which are overcome only by the input of some free energy of activation. Hence, the characteristic and…

统计力学 · 物理学 2011-12-21 Jürgen Schlitter

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

Chemical kinetics is becoming an increasingly vital component of hot Jupiter general circulation models (GCMs). Here we simulate the hot Jupiter WASP-96b using two chemical networks, a reduced chemical network frequently used in the GCM…

地球与行星天体物理 · 物理学 2026-05-04 D. A. Christie , M. Zamyatina , E. Hébrard , T. M. Evans-Soma , N. J. Mayne , E. K. H. Lee , S. -M. Tsai , D. E. Sergeev , R. Veillet , K. Kohary

Although optimal control (OC) has been studied in stochastic thermodynamics for systems with continuous state variables, less is known in systems with discrete state variables, such as Chemical Reaction Networks (CRNs). Here, we develop a…

统计力学 · 物理学 2024-07-10 Yikuan Zhang , Qi Ouyang , Yuhai Tu

Stochastic simulation is a widely used method for estimating quantities in models of chemical reaction networks where uncertainty plays a crucial role. However, reducing the statistical uncertainty of the corresponding estimators requires…

定量方法 · 定量生物学 2019-06-13 Michael Backenköhler , Luca Bortolussi , Verena Wolf

The Gene Regulatory Network (GRN) of biological cells governs a number of key functionalities that enables them to adapt and survive through different environmental conditions. Close observation of the GRN shows that the structure and…

神经与进化计算 · 计算机科学 2023-10-10 Adrian Ratwatte , Samitha Somathilaka , Sasitharan Balasubramaniam , Assaf A. Gilad