Melting of Branched RNA Molecules

Details Melting of Branched RNA Molecules Melting of Branched RNA Molecules

2007-08-03

arxiv.org/abs/0708.0527v1

Biology

Quantitative Biology

Biomolecules

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.100.148101

Stability of the branching structure of an RNA molecule is an important condition for its function. In this letter we show that the melting thermodynamics of RNA molecules is very sensitive to their branching geometry for the case of a molecule whose groundstate has the branching geometry of a Cayley Tree and whose pairing interactions are described by the Go model. Whereas RNA molecules with a linear geometry melt via a conventional continuous phase transition with classical exponents, molecules with a Cayley Tree geometry are found to have a free energy that seems smooth, at least within our precision. Yet, we show analytically that this free energy in fact has a mathematical singularity at the stability limit of the ordered structure. The correlation length appears to diverge on the high-temperature side of this singularity.

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