Thermodynamics of a model for RNA folding
Abstract: We analyze the thermodynamic properties of a simplified model for folded RNA molecules recently studied by G. Vernizzi, H. Orland, A. Zee (in Phys. Rev. Lett. 94 (2005) 168103). The model consists of a chain of one-flavor base molecules with a flexible backbone and all possible pairing int...
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Formato: | Documento de trabajo |
Lenguaje: | Inglés |
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2019
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Acceso en línea: | https://repositorio.uca.edu.ar/handle/123456789/5492 |
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I33-R139123456789-5492 |
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institution |
Universidad Católica Argentina |
institution_str |
I-33 |
repository_str |
R-139 |
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Repositorio Institucional de la Universidad Católica Argentina (UCA) |
language |
Inglés |
topic |
MOLECULAS DE ARN PROPIEDADES TERMODINAMICAS Vernizzi, Graziano Zee, Anthony Orland, Henri BIOLOGIA DIAGRAMA DE FEYNMAN |
spellingShingle |
MOLECULAS DE ARN PROPIEDADES TERMODINAMICAS Vernizzi, Graziano Zee, Anthony Orland, Henri BIOLOGIA DIAGRAMA DE FEYNMAN Dell'Erba, Matías G. Zemba, Guillermo Raúl Thermodynamics of a model for RNA folding |
topic_facet |
MOLECULAS DE ARN PROPIEDADES TERMODINAMICAS Vernizzi, Graziano Zee, Anthony Orland, Henri BIOLOGIA DIAGRAMA DE FEYNMAN |
description |
Abstract: We analyze the thermodynamic properties of a simplified model for folded RNA molecules recently studied by G. Vernizzi, H. Orland, A. Zee (in Phys. Rev. Lett. 94 (2005) 168103). 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 effi- ciently 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 topo- logical 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 Mg++ in solution. |
format |
Documento de trabajo |
author |
Dell'Erba, Matías G. Zemba, Guillermo Raúl |
author_facet |
Dell'Erba, Matías G. Zemba, Guillermo Raúl |
author_sort |
Dell'Erba, Matías G. |
title |
Thermodynamics of a model for RNA folding |
title_short |
Thermodynamics of a model for RNA folding |
title_full |
Thermodynamics of a model for RNA folding |
title_fullStr |
Thermodynamics of a model for RNA folding |
title_full_unstemmed |
Thermodynamics of a model for RNA folding |
title_sort |
thermodynamics of a model for rna folding |
publishDate |
2019 |
url |
https://repositorio.uca.edu.ar/handle/123456789/5492 |
work_keys_str_mv |
AT dellerbamatiasg thermodynamicsofamodelforrnafolding AT zembaguillermoraul thermodynamicsofamodelforrnafolding |
bdutipo_str |
Repositorios |
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1764820527392751617 |