Continuous variables logic via coupled automata using a DNAzyme cascade with feedback.

Area of Science:

• Biochemistry
• Computer Science
• Chemical Engineering

Background:

• Traditional computer architecture relies on binary Boolean logic.
• Chemical reactions offer continuous variable readouts but are not directly translatable to computational logic.
• Bridging chemical kinetics and Boolean logic is essential for developing novel computing systems.

Purpose of the Study:

• To transcribe chemical kinetics equations into a sequence of coupled logic gates operating on continuous variables.
• To establish a common language between chemical kinetics and Boolean logic using molecular identity.
• To experimentally realize a chemical computing system based on logic gates and feedback mechanisms.

Main Methods:

• Utilized the Cox interpretation of probability theory to link chemical kinetics with logic gate operations.
• Equated AND logic to bimolecular processes and XOR logic to concurrent chemical processes.
• Designed a DNAzyme multilayer signaling cascade to experimentally implement coupled automata with feedback for memory.

Main Results:

• Demonstrated that molecular identity enables a unified language for chemical kinetics and Boolean logic.
• Successfully created chemical equivalents for AND and XOR logic gates.
• Experimental realization of three coupled automata using a DNAzyme cascade showed integrator behavior generating a third-order power series.

Conclusions:

• Reactive chemical systems can be engineered to perform computations by implementing logic gates.
• Feedback in reaction schemes allows chemical logic gates to possess memory, forming an automaton.
• The study provides a foundation for developing chemical-based computing machines with tunable kinetics.