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MC networks are envisioned to enable synthetic information exchange between nanoscale biological entities. For many algorithm proposals in the MC research field, the question of implementation at nanoscales and in biological environments…

Emerging Technologies · Computer Science 2026-03-13 Alexander Wietfeld , Oguz Turgut , Eneritz Somoza Rodríguez , Wolfgang Kellerer

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

In order to fully exploit the potential of molecular communication (MC) for intra-body communication, practically implementable cellular receivers are an important long-term goal. A variety of receiver architectures based on chemical…

Emerging Technologies · Computer Science 2023-05-11 Bastian Heinlein , Lukas Brand , Malcolm Egan , Maximilian Schäfer , Robert Schober , Sebastian Lotter

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

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,…

Systems and Control · Electrical Eng. & Systems 2023-01-23 Kim G. Larsen , Daniele Toller , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

Analysis of large continuous-time stochastic systems is a computationally intensive task. In this work we focus on population models arising from chemical reaction networks (CRNs), which play a fundamental role in analysis and design of…

Systems and Control · Computer Science 2019-05-27 Milan Češka , Jan Křetínský

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…

Logic in Computer Science · Computer Science 2015-09-11 Luca Laurenti , Luca Cardelli , Marta Kwiatkowska

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…

Molecular Networks · Quantitative Biology 2021-05-13 J. N. Mueller , J. N. Corcoran

Molecular computation based on chemical reaction networks (CRNs) has emerged as a promising paradigm for designing programmable biochemical systems. However, the implementation of complex computations still requires excessively large and…

Molecular Networks · Quantitative Biology 2025-06-17 Renlei Jiang , Yuzhen Fan , Di Fan , Chuanhou Gao , Denis Dochain

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…

Molecular Networks · Quantitative Biology 2026-05-04 Alexander Dack , Benjamin Qureshi , Thomas E. Ouldridge , Tomislav Plesa

The chemical reaction network (CRN) is a widely used formalism to describe macroscopic behavior of chemical systems. Available tools for CRN modelling and simulation require local access, installation, and often involve local file storage,…

Computational Engineering, Finance, and Science · Computer Science 2015-12-07 Peter Banda , Drew Blount , Christof Teuscher

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

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

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

Chemical reactions are a prominent feature of molecular communication (MC) systems, with no direct parallels in wireless communications. While chemical reactions may be used inside the transmitter nodes, receiver nodes or the communication…

Information Theory · Computer Science 2018-04-25 Maryam Farahnak-Ghazani , Gholamali Aminian , Mahtab Mirmohseni , Amin Gohari , Masoumeh Nasiri-Kenari

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

Chemical reaction networks (CRNs) are directed graphs with reactant or product complexes as vertices, and reactions as arcs. A CRN is weakly reversible if each of its connected components is strongly connected. Weakly reversible networks…

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 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) provide a useful abstraction of molecular interaction networks in which molecular structures as well as mass conservation principles are abstracted away to focus on the main dynamical properties of the…

Molecular Networks · Quantitative Biology 2020-07-31 Elisabeth Degrand , François Fages , Sylvain Soliman
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