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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

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

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

Molecular circuits capable of autonomous learning could unlock novel applications in fields such as bioengineering and synthetic biology. To this end, existing chemical implementations of neural computing have mainly relied on emulating…

Machine Learning · Computer Science 2025-09-23 Rajiv Teja Nagipogu , John H. Reif

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

Information processing relying on biochemical interactions in the cellular environment is essential for biological organisms. The implementation of molecular computational systems holds significant interest and potential in the fields of…

Dynamical Systems · Mathematics 2023-12-01 Yuzhen Fan , Xiaoyu Zhang , Chuanhou Gao , Denis Dochain

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…

Quantitative Methods · Quantitative Biology 2026-05-25 Mathieu Hemery

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

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

Embedding computation in biochemical environments incompatible with traditional electronics is expected to have wide-ranging impact in synthetic biology, medicine, nanofabrication and other fields. Natural biochemical systems are typically…

Machine Learning · Computer Science 2022-06-15 Marko Vasic , Cameron Chalk , Austin Luchsinger , Sarfraz Khurshid , David Soloveichik

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

Chemical reaction networks (CRNs) model the behavior of chemical reactions in well-mixed solutions and they can be designed to perform computations. In this tutorial we give an overview of various computational models for CRNs. Moreover, we…

Emerging Technologies · Computer Science 2018-11-27 Robert Brijder

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

Molecule representation learning (MRL) methods aim to embed molecules into a real vector space. However, existing SMILES-based (Simplified Molecular-Input Line-Entry System) or GNN-based (Graph Neural Networks) MRL methods either take…

Machine Learning · Computer Science 2021-09-23 Hongwei Wang , Weijiang Li , Xiaomeng Jin , Kyunghyun Cho , Heng Ji , Jiawei Han , Martin D. Burke

Chemical reaction networks (CRNs) are a standard formalism used in chemistry and biology to reason about the dynamics of molecular interaction networks. In their interpretation by ordinary differential equations, CRNs provide a…

Quantitative Methods · Quantitative Biology 2020-07-28 Mathieu Hemery , François Fages , Sylvain Soliman

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

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

Marcello, in 1997, formally proved that chemical kinetics can make a universal computer i.e they can replicate any digital circuit. Recently, Soloveichik et al. showed that chemical kinetics can perform fast and reliable Turing Universal…

Emerging Technologies · Computer Science 2018-08-15 Shalin Shah , Manish Gupta

The Turing completeness of continuous chemical reaction networks (CRNs) states that any computable real function can be computed by a continuous CRN on a finite set of molecular species, possibly restricted to elementary reactions, i.e.…

Molecular Networks · Quantitative Biology 2022-06-22 Mathieu Hemery , François Fages

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
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