INVESTIGADORES
ZEMBA Guillermo Raul
artículos
Título:
Thermodynamics of a model for RNA folding
Autor/es:
MATIAS DELL'ERBA, GUILLERMO R. ZEMBA
Revista:
PHYSICAL REVIEW E
Editorial:
AMER PHYSICAL SOC
Referencias:
Año: 2009 vol. 79 p. 11913 - 11919
ISSN:
1539-3755
Resumen:
We analyze the thermodynamic properties of a simplified model for
folded RNA molecules recently studied by Vernizzi, Orland, and Zee
[Phys. Rev. Lett. 94, 168103
(2005)]. The model consists of a chain of one-flavor base molecules
with a flexible backbone and all possible pairing interactions equally
allowed. The spatial pseudoknot structure of the model can be
efficiently studied by introducing a N×N
Hermitian random matrix model at each chain site, and associating
Feynman diagrams of these models to spatial configurations of the
molecules. We obtain an exact expression for the topological expansion
of the partition function of the system. We calculate exact and
asymptotic expressions for the free energy, specific heat,
entanglement, and chemical potential and study their behavior as a
function of temperature. Our results are consistent with the
interpretation of 1∕N as being a measure of the concentration of Mg2+ in solution.