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RNA structures with pseudo-knots: graph-theoretical, combinatorial, and statistical properties.

C Haslinger1, P F Stadler

  • 1Institut für Theoretische Chemie, Universität Wien, Austria. grisu@tbi.univie.ac.at

Bulletin of Mathematical Biology
|September 22, 2007
PubMed
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This study introduces bi-secondary structures, a generalized RNA structure model that includes pseudo-knots. RNA folding patterns remain largely consistent even with pseudo-knots, revealing extensive neutral networks in sequence space.

Area of Science:

  • Computational biology
  • Bioinformatics
  • Structural biology

Background:

  • Nucleic acid secondary structures are crucial contact structures.
  • Conventional definitions exclude pseudo-knots, found in many functional RNA molecules.

Purpose of the Study:

  • To generalize RNA secondary structures to include pseudo-knots, termed bi-secondary structures.
  • To analyze the complexity and properties of these generalized structures.
  • To investigate the impact of pseudo-knots on RNA folding and sequence-structure relationships.

Main Methods:

  • Developed a graph-theoretical framework for bi-secondary structures.
  • Derived exact upper bounds on the number of bi-secondary structures.
  • Utilized kinetic folding simulations and an extended energy model.

Related Experiment Videos

Main Results:

  • Bi-secondary structures are planar trivalent graphs with specific embedding properties.
  • The number of bi-secondary structures grows approximately as 2.35n.
  • Introducing pseudo-knots does not alter global RNA sequence-structure map features.
  • A significant fraction of neutral mutations and interconnected neutral networks were identified.

Conclusions:

  • Bi-secondary structures provide a more comprehensive model for RNA structural diversity.
  • Pseudo-knots do not fundamentally change RNA folding landscapes, supporting evolutionary adaptability.
  • The identified neutral networks suggest robust evolutionary pathways for RNA molecules.