Molecular and chemical computing: implementation evidence

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Molecular computing maps state and transition rules onto reactions among molecules, DNA strands, enzymes, or surface-bound components. The row credits physical reaction networks, not DNA used only as passive storage.

Stage Mark Summary
Reference Executable reaction-network and strand-displacement models
Physical DNA and enzyme reaction circuits
Integrated Cascaded molecular networks with input and output
Scaled No general large programmable system located
Access No public machine for loading arbitrary programs
Operational Specialized sensing and biomedical demonstrations

Reference — demonstrated

Claim
The matrix credits molecular and chemical computing at the Reference stage: executable reaction-network and strand-displacement models.
Evidence
Chemical-reaction networks and DNA strand-displacement calculi give executable descriptions of species, reactions, rates, and outputs. They make a molecular program testable in simulation before laboratory construction.
Criticism
Executable semantics do not establish purpose-built hardware, integration, scale, external access, recurring use, or comparative advantage.
Sources
Enzyme-powered DNA computing networks

Physical — demonstrated

Claim
The matrix credits molecular and chemical computing at the Physical stage: DNA and enzyme reaction circuits.
Evidence
DNA strands, enzymes, and molecular reactions have been arranged to perform logic and network operations. The cited work demonstrates enzyme-powered DNA computing networks as chemistry, not as a digital simulation.
Criticism
A physical realization does not by itself establish system integration, efficient scaling, external access, recurring use, or comparative advantage.
Sources
Enzyme-powered DNA computing networks

Integrated — demonstrated

Claim
The matrix credits molecular and chemical computing at the Integrated stage: cascaded molecular networks with input and output.
Evidence
Cascaded reaction stages combine molecular input recognition, internal computation, energy supply, and observable output. The integration is task-specific and laboratory-built, but it forms a complete experimental computation.
Criticism
A coherent system does not by itself establish efficient scaling, external access, recurring use, or comparative advantage.
Sources
Enzyme-powered DNA computing networks

Operational — limited

Claim
The matrix credits molecular and chemical computing only partially at the Operational stage: specialized sensing and biomedical demonstrations.
Evidence
Molecular circuits can repeatedly perform specialized sensing, classification, or control reactions under prepared conditions. The mark remains partial because each program commonly requires laboratory reconstruction and because reset, automation, and electronic readout are unresolved.
Criticism
The mark is limited on the current public record: specialized sensing and biomedical demonstrations. Recurring work does not establish workload generality, independent reproduction, favorable economics, or comparative advantage.
Sources
Enzyme-powered DNA computing networks

Stages not credited

No public evidence establishes a reusable large molecular computer or a system on which outsiders can load several arbitrary programs without rebuilding the chemistry.

Source