Solution of Simultaneous Higher Order Equations Based on DNA Strand Displacement Circuit

Area of Science:

• Biochemistry
• Computational Biology
• Synthetic Biology

Background:

• DNA strand displacement is a versatile tool for constructing molecular systems, primarily applied in neural networks and logical problem-solving.
• Existing research on DNA strand displacement for solving higher-order equations remains limited, presenting an underexplored area in DNA computation.

Purpose of the Study:

• To investigate the application of DNA strand displacement in solving higher-order equations.
• To develop novel molecular modules for catalysis, degradation, annihilation, and adjustment reactions using DNA strand displacement.
• To establish chemical reaction networks capable of solving simultaneous binary primary and quadratic equations.

Main Methods:

• Designing and implementing catalysis, degradation, annihilation, and adjusted reaction modules via DNA strand displacement.
• Constructing chemical reaction networks that represent higher-order and simultaneous equations.
• Utilizing these networks to build analog circuits for solving binary simultaneous equations.
• Verifying the design's efficacy using Visual DSD software.

Main Results:

• Successfully built molecular modules for key chemical reactions through DNA strand displacement.
• Established chemical reaction networks corresponding to higher-order and simultaneous equations.
• Demonstrated the capability of these networks to function as analog circuits for solving binary primary and quadratic simultaneous equations.
• Validated the computational design using Visual DSD software.

Conclusions:

• The developed DNA strand displacement-based system effectively solves binary primary and quadratic simultaneous equations.
• This research provides a foundational reference for advancing DNA computation in solving complex mathematical problems.
• The modular approach offers a scalable pathway for future DNA-based computational systems.