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Chemical reaction networks (CRNs) provide a convenient language for modelling a broad variety of biological systems. These models are commonly studied with respect to the time series they generate in deterministic or stochastic simulations.…

分子网络 · 定量生物学 2019-07-11 Ozan Kahramanoğulları

Predicting stochastic cellular dynamics as emerging from the mechanistic models of molecular interactions is a long-standing challenge in systems biology: low-level chemical reaction network (CRN) models give raise to a highly-dimensional…

分子网络 · 定量生物学 2020-02-06 Tatjana Petrov , Denis Repin

Stochastic evolution of Chemical Reactions Networks (CRNs) over time is usually analysed through solving the Chemical Master Equation (CME) or performing extensive simulations. Analysing stochasticity is often needed, particularly when some…

计算机科学中的逻辑 · 计算机科学 2015-09-11 Luca Laurenti , Luca Cardelli , Marta Kwiatkowska

Motivation: A Chemical Reaction Network (CRN) is a set of chemical reactions, which can be very complex and difficult to analyze. Indeed, dynamical properties of CRNs can be described by a set of non-linear differential equations that…

计算工程、金融与科学 · 计算机科学 2021-07-02 Lucia Nasti , Roberta Gori , Paolo Milazzo , Federico Poloni

Understanding the emergent behavior of chemical reaction networks (CRNs) is a fundamental aspect of biology and its origin from inanimate matter. A closed CRN monotonically tends to thermal equilibrium, but when it is opened to external…

分子网络 · 定量生物学 2024-05-16 Masanari Shimada , Pegah Behrad , Eric De Giuli

Across many disciplines, chemical reaction networks (CRNs) are an established population model defined as a system of coupled nonlinear ordinary differential equations. In many applications, for example, in systems biology and epidemiology,…

系统与控制 · 电气工程与系统科学 2023-01-23 Kim G. Larsen , Daniele Toller , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

Dynamical systems in biology are complex, and one often does not have comprehensive knowledge about the interactions involved. Chemical reaction network (CRN) inference aims to identify, from observing species concentrations over time, the…

统计方法学 · 统计学 2026-04-15 Yong See Foo , Adriana Zanca , Jennifer A. Flegg , Ivo Siekmann

Random graph models have been instrumental in characterizing complex networks, but chemical reaction networks (CRNs) are better represented as hypergraphs. Traditional models of random CRNs often reduce CRNs to bipartite graphs,…

统计力学 · 物理学 2025-07-15 Shesha Gopal Marehalli Srinivas , Massimiliano Esposito , Nahuel Freitas

Chemical reaction networks (CRNs) are fundamental computational models used to study the behavior of chemical reactions in well-mixed solutions. They have been used extensively to model a broad range of biological systems, and are primarily…

分子网络 · 定量生物学 2021-05-13 J. N. Mueller , J. N. Corcoran

Formal methods have enabled breakthroughs in many fields, such as in hardware verification, machine learning and biological systems. The key object of interest in systems biology, synthetic biology, and molecular programming is chemical…

新兴技术 · 计算机科学 2020-08-11 Marko Vasic , David Soloveichik , Sarfraz Khurshid

We consider how to generate chemical reaction networks (CRNs) from functional specifications. We propose a two-stage approach that combines synthesis by satisfiability modulo theories and Markov chain Monte Carlo based optimisation. First,…

新兴技术 · 计算机科学 2015-08-19 Neil Dalchau , Niall Murphy , Rasmus Petersen , Boyan Yordanov

Stochastic chemical reaction networks (CRNs) are complex systems which combine the features of concurrent transformation of multiple variables in each elementary reaction event, and nonlinear relations between states and their rates of…

化学物理 · 物理学 2017-12-06 Eric Smith , Supriya Krishnamurthy

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

Chemical reaction networks (CRNs) exhibit complex dynamics governed by their underlying network structure. In this paper, we propose a novel approach to study the dynamics of CRNs by representing them on species graphs (S-graphs). By…

分子网络 · 定量生物学 2024-04-24 Keisuke Sugie , Dimitri Loutchko , Tetsuya J. Kobayashi

Stochastic reaction networks with mass-action kinetics provide a useful framework for understanding processes -- biochemical and otherwise -- in homogeneous environments. However, cellular reactions are often compartmentalized, either at…

概率论 · 数学 2026-05-01 David F. Anderson , Aidan S. Howells , Diego Rojas La Luz

We propose a direct optimization framework for learning reduced and sparse chemical reaction networks (CRNs) from time-series trajectory data. In contrast to widely used indirect methods-such as those based on sparse identification of…

分子网络 · 定量生物学 2025-08-27 Maurice Filo , Mustafa Khammash

Chemical reaction networks (CRNs) are foundational models for describing complex biochemical processes. We study noncompetitive CRNs, a class of networks whose static states are rate-independent, and that can implement ReLU neural networks.…

分子网络 · 定量生物学 2025-12-22 Louis Faul , Xavier Richard , Mary Betrisey , Christian Mazza

We investigate a broad family of non weakly reversible stochastically modeled reaction networks (CRN), by looking at their steady-state distributions. Most known results on stationary distributions assume weak reversibility and zero…

概率论 · 数学 2023-02-20 Linard Hoessly , Christian Mazza

Chemical reaction networks (CRN) comprise an important class of models to understand biological functions such as cellular information processing, the robustness and control of metabolic pathways, circadian rhythms, and many more. However,…

分子网络 · 定量生物学 2025-03-25 Dimitri Loutchko , Yuki Sughiyama , Tetsuya J. Kobayashi

Chemical reaction networks (CRNs) formally model chemistry in a well-mixed solution. CRNs are widely used to describe information processing occurring in natural cellular regulatory networks, and with upcoming advances in synthetic biology,…

计算复杂性 · 计算机科学 2013-04-17 David Doty
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