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This paired article aims to develop an automated and programmable biochemical fully connected neural network (BFCNN) with solid theoretical support. In Part I, a concrete design for BFCNN is presented, along with the validation of the…

Dynamical Systems · Mathematics 2024-01-17 Yuzhen Fan , Xiaoyu Zhang , Chuanhou Gao , Denis Dochain

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

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

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

Artificial neural networks (NNs) can be implemented using chemical reaction networks (CRNs), where the concentrations of species act as inputs and outputs. In such biochemical computing, noise-robust computing is crucial due to the…

Molecular Networks · Quantitative Biology 2024-10-17 Sunghwa Kang , Jinsu Kim

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

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

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

Chemical reactions occur in energy, environmental, biological, and many other natural systems, and the inference of the reaction networks is essential to understand and design the chemical processes in engineering and life sciences. Yet,…

Molecular Networks · Quantitative Biology 2021-01-22 Weiqi Ji , Sili Deng

In this paper, it is presented a methodology for implementing arbitrarily constructed time-homogenous Markov chains with biochemical systems. Not only discrete but also continuous-time Markov chains are allowed to be computed. By employing…

Molecular Networks · Quantitative Biology 2018-02-16 Chuan Zhang , Ziyuan Shen , Wei Wei , Jing Zhao , Zaichen Zhang , Xiaohu You

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

Key processes in biological and chemical systems are described by networks of chemical reactions. From molecular biology to biotechnology applications, computational models of reaction networks are used extensively to elucidate their…

Quantitative Methods · Quantitative Biology 2019-02-18 Pavel Loskot , Komlan Atitey , Lyudmila Mihaylova

We present two quantitative behavioral equivalences over species of a chemical reaction network (CRN) with semantics based on ordinary differential equations. Forward CRN bisimulation identifies a partition where each equivalence class…

Logic in Computer Science · Computer Science 2015-07-16 Luca Cardelli , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

Genes are fundamental for analyzing biological systems and many recent works proposed to utilize gene expression for various biological tasks by deep learning models. Despite their promising performance, it is hard for deep neural networks…

Machine Learning · Computer Science 2023-04-12 Xinnan Dai , Caihua Shan , Jie Zheng , Xiaoxiao Li , Dongsheng Li

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

Synthetic biology is a rapidly emerging research area, with expected wide-ranging impact in biology, nanofabrication, and medicine. A key technical challenge lies in embedding computation in molecular contexts where electronic…

Emerging Technologies · Computer Science 2019-06-06 Marko Vasic , David Soloveichik , Sarfraz Khurshid

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…

Quantitative Methods · Quantitative Biology 2026-03-02 Maurice Filo , Nicolò Rossi , Zhou Fang , Mustafa Khammash

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

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

Improving the efficiency of current neural networks and modeling them in biological neural systems have become popular research directions in recent years. Pulse-coupled neural network (PCNN) is a well applicated model for imitating the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Haoran Liu , Mingzhe Liu , Peng Li , Jiahui Wu , Xin Jiang , Zhuo Zuo , Bingqi Liu
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