ArticleChemical science2017
Continuous variables logic
Article in Chemical science, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed, 32 citations in OpenAlex.
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- A DNA-Based Plasmonic Nano-Ruler.International journal of molecular sciences · 2025Article
- A Novel Fluorescent Aptamer Sensor with DNAzyme Signal Amplification for the Detection of CEA in Blood.Sensors (Basel, Switzerland) · 2023Article
- Construction and Application of DNAzyme-based Nanodevices.Chemical research in Chinese universities · 2023Review
- DNA-based constitutional dynamic networks as functional modules for logic gates and computing circuit operations.Chemical science · 2021Article
- Development of a neuron model based on DNAzyme regulation.RSC advances · 2021Article
- Propelling DNA Computing with Materials' Power: Recent Advancements in Innovative DNA Logic Computing Systems and Smart Bio-Applications.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2020Review
- DNA circuits driven by conformational changes in DNAzyme recognition arms.RSC advances · 2020Article
- Constructing Controllable Logic Circuits Based on DNAzyme Activity.Molecules (Basel, Switzerland) · 2019Article
- A Janus-inspired amphichromatic system that kills two birds with one stone for operating a "DNA Janus Logic Pair" (DJLP) library.Chemical science · 2019Article
- Allosteric DNAzyme-based DNA logic circuit: operations and dynamic analysis.Nucleic acids research · 2019Article
- Contrary logic pairs and circuits using a visually and colorimetrically detectable redox system consisting of MoOMikrochimica acta · 2019Article
- Rational design of sequestered DNAzyme beacons to enable flexible control of catalytic activities.RSC advances · 2018Article
- A label-free and enzyme-free platform with a visible output for constructing versatile logic gates using caged G-quadruplex as the signal transducer.Chemical science · 2018Article
- A DNA-based parity generator/checker for error detection through data transmission with visual readout and an output-correction function.Chemical science · 2017Article
- DNA-based visual majority logic gate with one-vote veto function.Chemical science · 2015Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
6 authors at 3 institutions in 3 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The concentration of molecules can be changed by chemical reactions and thereby offer a continuous readout. Yet computer architecture is cast in textbooks in terms of binary valued, Boolean variables. To enable reactive chemical systems to compute we show how, using the Cox interpretation of probability theory, one can transcribe the equations of chemical kinetics as a sequence of coupled logic gates operating on continuous variables. It is discussed how the distinct chemical identity of a molecule allows us to create a common language for chemical kinetics and Boolean logic. Specifically, the logic AND operation is shown to be equivalent to a bimolecular process. The logic XOR operation represents chemical processes that take place concurrently. The values of the rate constants enter the logic scheme as inputs. By designing a reaction scheme with a feedback we endow the logic gates with a built in memory because their output then depends on the input and also on the present state of the system. Technically such a logic machine is an automaton. We report an experimental realization of three such coupled automata using a DNAzyme multilayer signaling cascade. A simple model verifies analytically that our experimental scheme provides an integrator generating a power series that is third order in time. The model identifies two parameters that govern the kinetics and shows how the initial concentrations of the substrates are the coefficients in the power series.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.