RNA topology: From simple loops to complex circuits - A review.

Area of Science:

• Biophysics
• Computational Biology
• Molecular Biology

Background:

• RNA molecules fold into intricate 3D structures essential for their function.
• Existing mathematical models for RNA structure lack grounding in physical folding principles.
• Diverse mathematical frameworks like chord diagrams and context-free grammars exist but are not universally integrated.

Purpose of the Study:

• To reinterpret existing RNA structure models using circuit topology (CT).
• To connect RNA folding kinetics and molecular design with a physics-inspired framework.
• To establish a unified view of RNA structure and polymer interactions.

Main Methods:

• Reinterpreting RNA mathematical models through the lens of circuit topology (CT).
• Applying CT to represent RNA secondary structures, including pseudoknots, compactly.
• Mapping traditional RNA models to the topological arrangement of interactions.

Main Results:

• CT provides a unified representation of RNA secondary structures, including pseudoknots.
• A direct mapping is revealed between traditional RNA models and CT's topological arrangement.
• Shared structural principles between RNA and other polymer systems are highlighted.

Conclusions:

• Circuit topology (CT) offers a physics-based approach to analyze RNA structure and function.
• CT unifies diverse mathematical models, bridging abstraction and molecular reality.
• The CT framework can be extended for higher-order motifs and folding kinetics analysis, enabling molecular engineering.