A growth model for RNA secondary structures

Abstract

A hierarchical model for the growth of planar arch structures for RNA secondary structures is presented, and shown to be equivalent to a tree-growth model. Both models can be solved analytically, giving access to scaling functions for large molecules, and corrections to scaling, checked by numerical simulations of up to 6500 bases. The equivalence of both models should be helpful in understanding more general tree-growth processes.

References in corpus (10)

• RNA Folding and Large N Matrix Theory
• Statistical mechanics of secondary structures formed by random RNA sequences
• RNA secondary structure formation: a solvable model of heteropolymer folding
• Meander, Folding and Arch Statistics
• Glassy transition in a disordered model for the RNA secondary structure
• Nature of the glassy phase of RNA secondary structure
• The Freezing of Random RNA
• Ground state and glass transition of the RNA secondary structure
• Systematic Field Theory of the RNA Glass Transition
• Freezing transition of the random bond RNA model: statistical properties of the pairing weights

Cited by in corpus (6)

• Random recursive triangulations of the disk via fragmentation theory
• Entanglement in low-energy states of the random-hopping model
• Entanglement in correlated random spin chains, RNA folding and kinetic roughening
• The dual tree of a recursive triangulation of the disk
• Markov branching in the vertex splitting model
• Random tree growth by vertex splitting