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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.…

Molecular Networks · Quantitative Biology 2019-07-11 Ozan Kahramanoğulları

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,…

Computational Complexity · Computer Science 2013-04-17 David Doty

We present a differentiable formulation of abstract chemical reaction networks (CRNs) that can be trained to solve a variety of computational tasks. Chemical reaction networks are one of the most fundamental computational substrates used by…

Molecular Networks · Quantitative Biology 2023-02-07 Alexander Mordvintsev , Ettore Randazzo , Eyvind Niklasson

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,…

Computational Complexity · Computer Science 2015-03-20 Ho-Lin Chen , David Doty , David Soloveichik

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

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…

Emerging Technologies · Computer Science 2020-08-11 Marko Vasic , David Soloveichik , Sarfraz Khurshid

We explore the range of probabilistic behaviours that can be engineered with Chemical Reaction Networks (CRNs). We show that at steady state CRNs are able to "program" any distribution with finite support in $\mathbb{N}^m$, with $m \geq 1$.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-25 Luca Cardelli , Marta Kwiatkowska , Luca Laurenti

It is useful to have complete lists of nonisomorphic chemical reaction networks (CRNs) of a given size, with or without various restrictions. One may, for example, be interested in exploring how often certain dynamical behaviours occur in…

Molecular Networks · Quantitative Biology 2017-06-01 Murad Banaji

Chemical reaction networks (CRNs) model the behavior of molecules in a well-mixed system. The emerging field of molecular programming uses CRNs not only as a descriptive tool, but as a programming language for chemical computation.…

Computational Complexity · Computer Science 2015-09-04 Adam Case , Jack H. Lutz , D. M. Stull

We derive the nonequilibrium conductance matrix for open stationary Chemical Reaction Networks (CRNs) described by a deterministic mass action kinetic equation. As an illustration, we determine the nonequilibrium conductance matrix of a CRN…

Statistical Mechanics · Physics 2025-06-27 Paul Raux , Christophe Goupil , Gatien Verley

Coupled chemical interactions in a well-mixed solution are commonly formalized as chemical reaction networks (CRNs). However, despite the widespread use of CRNs in the natural sciences, the range of computational behaviors exhibited by CRNs…

Emerging Technologies · Computer Science 2023-04-11 Ho-Lin Chen , David Doty , Wyatt Reeves , David Soloveichik

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…

Dynamical Systems · Mathematics 2022-04-14 Yuzhen Fan , Xiaoyu Zhang , Chuanhou Gao

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

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,…

Statistical Mechanics · Physics 2025-07-15 Shesha Gopal Marehalli Srinivas , Massimiliano Esposito , Nahuel Freitas

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,…

Emerging Technologies · Computer Science 2015-08-19 Neil Dalchau , Niall Murphy , Rasmus Petersen , Boyan Yordanov

A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among entities called species, which exist within the system. Endowed with kinetics, CRN has a corresponding set of ordinary differential equations…

Dynamical Systems · Mathematics 2021-04-20 Bryan S. Hernandez , Ralph John L. De la Cruz

Chemical reaction networks, or CRNs, are known to stably compute semilinear Boolean-valued predicates and functions, provided that all reactions are irreversible. However, this property does not hold for wet-lab implementations, as all…

Computational Complexity · Computer Science 2026-04-17 Ravi Kini , David Doty

Biological regulatory networks depend upon chemical interactions to process information. Engineering such molecular computing systems is a major challenge for synthetic biology and related fields. The chemical reaction network (CRN) model…

Emerging Technologies · Computer Science 2020-09-23 Cameron Chalk , Niels Kornerup , Wyatt Reeves , David Soloveichik

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…

Computational Engineering, Finance, and Science · Computer Science 2021-07-02 Lucia Nasti , Roberta Gori , Paolo Milazzo , Federico Poloni

Chemical reactor networks (CRNs) enable simulations of combustion reactors with detailed chemical kinetics and strongly simplified flow structure. In this paper, the implementation of a reactor component with less idealized flow structure,…

Fluid Dynamics · Physics 2023-05-22 Lisanne Gossel , Mathis Fricke , Dieter Bothe
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