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Enumeration of RNA complexes via random matrix theory

Andersen, Jørgen E. and Chekhov, Leonid O. and Penner, Robert C. and Reidys, Christian M. and Sułkowski, Piotr (2013) Enumeration of RNA complexes via random matrix theory. Biochemical Society Transactions, 41 . pp. 652-655. ISSN 1470-8752. doi:10.1042/BST20120270.

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In the present article, we review a derivation of the numbers of RNA complexes of an arbitrary topology. These numbers are encoded in the free energy of the Hermitian matrix model with potential V(x)=x^2/2−stx/(1−tx), where s and t are respective generating parameters for the number of RNA molecules and hydrogen bonds in a given complex. The free energies of this matrix model are computed using the so-called topological recursion, which is a powerful new formalism arising from random matrix theory. These numbers of RNA complexes also have profound meaning in mathematics: they provide the number of chord diagrams of fixed genus with specified numbers of backbones and chords as well as the number of cells in Riemann's moduli spaces for bordered surfaces of fixed topological type.

Item Type:Article
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URLURL TypeDescription
Andersen, Jørgen E.0000-0001-9721-0722
Sułkowski, Piotr0000-0002-6176-6240
Additional Information:© The Authors. Journal compilation © 2013 Biochemical Society. Received 31 October 2012. P.S. thanks the Isaac Newton Institute for Mathematical Sciences, Cambridge, for hospitality. This work was supported by the Danish National Research Foundation Center of Excellence grant ‘Center for Quantum Geometry of Moduli Spaces’, the Marie-Curie IOF Fellowship and the Foundation for Polish Science.
Funding AgencyGrant Number
Danish National Research Foundation Center of ExcellenceUNSPECIFIED
Marie Curie IOF FellowshipUNSPECIFIED
Foundation for Polish ScienceUNSPECIFIED
Subject Keywords:free energy, Hermitian matrix model, random matrix theory, RNA complex.
Record Number:CaltechAUTHORS:20130424-154833730
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Official Citation:Enumeration of RNA complexes via random matrix theory Jørgen E. Andersen, Leonid O. Chekhov, Robert C. Penner, Christian M. Reidys and Piotr Sułkowski..........652–655
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38106
Deposited By: Ruth Sustaita
Deposited On:25 Apr 2013 15:57
Last Modified:09 Nov 2021 23:33

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