Topological phase transition in a RNA model in the de Gennes regime

We study a simplified model of the RNA molecule proposed by Vernizzi in the regime of strong concentration of positive ions in solution. The model considers a flexible chain of equal bases that can pairwise interact with any other one along the chain while preserving the property of saturation of th...

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Autor principal: Dell'Erba, M.G
Otros Autores: Zemba, G.R
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:Registro en Scopus
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100 1 |a Dell'Erba, M.G. 
245 1 0 |a Topological phase transition in a RNA model in the de Gennes regime 
260 |c 2009 
270 1 0 |m Dell'Erba, M. G.; Instituto de Física de Mar Del Plata, IFIMAR (CONICET-UNMdP), Funes 3350, 7600 Mar del Plata, Argentina 
506 |2 openaire  |e Política editorial 
504 |a Tinoco Jr., I., Bustamante, C., (1999) J. Mol. Biol., 293, p. 271. , 10.1006/jmbi.1999.3001 
504 |a Orland, H., Zee, A., (2002) Nucl. Phys. B, 620, p. 456. , 10.1016/S0550-3213(01)00522-3 
504 |a Müller, M., (2003) Phys. Rev. e, 67, p. 021914. , 10.1103/PhysRevE.67.021914 
504 |a Hyeon, C., Dima, R.I., Thirumalai, D., (2006) J. Chem. Phys., 125, p. 194905. , 10.1063/1.2364190 
504 |a Pande, V.S., Yu. Grosberg, A., Tanaka, T., (2000) Rev. Mod. Phys., 72, p. 259. , 10.1103/RevModPhys.72.259 
504 |a Vernizzi, G., Orland, H., Zee, A., (2005) Phys. Rev. Lett., 94, p. 168103. , 10.1103/PhysRevLett.94.168103 
504 |a Vernizzi, G., Orland, H., (2005) Acta Phys. Pol. B, 36, p. 2821 
504 |a Dell'Erba, M.G., Zemba, G.R., (2009) Phys. Rev. e, 79, p. 011913. , 10.1103/PhysRevE.79.011913 
504 |a Pillsbury, M., Orland, H., Zee, A., (2005) Phys. Rev. e, 72, p. 011911. , 10.1103/PhysRevE.72.011911 
504 |a Lindahl, T., Adams, A., Fresco, J.R., (1966) Proc. Natl. Acad. Sci. U.S.A., 55, p. 941. , 10.1073/pnas.55.4.941 
504 |a (1999) The RNA World, , Cold Spring Harbor Monograph Series No. 37, 2nd ed., edited by R. F. Gesteland, T. R. Cech, and J. F. Atkins (Cold Spring Harbor Laboratory Press, New York 
504 |a Misra, V.K., Draper, D.E., (2001) Proc. Natl. Acad. Sci. U.S.A., 98, p. 12456. , 10.1073/pnas.221234598 
504 |a Draper, D.E., (2004) RNA, 10, p. 335. , 10.1261/rna.5205404 
504 |a Travers, K.J., Boyd, N., Herschlag, D., (2007) RNA, 13, p. 1205. , 10.1261/rna.566007 
504 |a Hackl, E.V., Blagoi, Y.P., (2000) Acta Biochim. Pol., 47, p. 103 
504 |a 'Thooft, G., (1974) Nucl. Phys. B, 72, p. 461. , 10.1016/0550-3213(74)90154-0 
504 |a De Gennes, P.-G., (1979) Scaling Concepts in Polymer Physics, , Cornell University Press, Ithaca, NY 
504 |a Vernizzi, G., Ribeca, P., Orland, H., Zee, A., (2006) Phys. Rev. e, 73, p. 031902. , 10.1103/PhysRevE.73.031902 
504 |a Noguchi, H., Yoshikawa, K., (1997) Chem. Phys. Lett., 278, p. 184. , 10.1016/S0009-2614(97)00974-3 
504 |a Ueda, M., Yoshikawa, K., (1996) Phys. Rev. Lett., 77, p. 2133. , 10.1103/PhysRevLett.77.2133 
504 |a Doniach, S., Garel, T., Orland, H., (1996) J. Chem. Phys., 105, p. 1601. , 10.1063/1.472031 
504 |a Gradshteyn, I.S., Ryzhik, I.M., Jeffrey, A., Zwillinger, D., (1994) Table of Integrals, Series, and Products, , 5th ed. (Academic Press, New York 
504 |a Zivković, M., (1975) Publ. Elektrotehnick. Fak. Ser. Mat. Fiz., 498-541, pp. 217-221 
504 |a Abramowitz, M., Stegun, I.A., (1972) Handbook of Mathematical Functions, , Dover Publications, New York 
504 |a Wolfram, S., (1991) Mathematica, , Addison-Wesley, New York 
504 |a Gluick, T., Gerstner, R., Draper, D., (1997) J. Mol. Biol., 270, p. 451. , 10.1006/jmbi.1997.1119 
504 |a Stanley, H.E., (1971) Introduction to Phase Transitions and Critical Phenomena, , Oxford Science Publications, New York 
520 3 |a We study a simplified model of the RNA molecule proposed by Vernizzi in the regime of strong concentration of positive ions in solution. The model considers a flexible chain of equal bases that can pairwise interact with any other one along the chain while preserving the property of saturation of the interactions. In the regime considered, we observe the emergence of a critical temperature Tc separating two phases that can be characterized by the topology of the predominant configurations: in the large temperature regime, the dominant configurations of the molecule have very large genera (on the order of the size of the molecule), corresponding to a complex topology, whereas in the opposite regime of low temperatures the dominant configurations are simple and have the topology of a sphere. We determine that this topological phase transition is of first order and provide an analytical expression for Tc. The regime studied for this model exhibits analogies with the dense polymer systems studied by de Gennes. © 2009 The American Physical Society.  |l eng 
593 |a Instituto de Física de Mar Del Plata, IFIMAR (CONICET-UNMdP), Funes 3350, 7600 Mar del Plata, Argentina 
593 |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar Del Plata, Funes 3350, 7600 Mar del Plata, Argentina 
593 |a Facultad de Ciencias Fisicomatemáticas e Ingeniería, Pontificia Universidad Católica Argentina, Av. A. Moreau de Justo 1500, 1107 Buenos Aires, Argentina 
593 |a Departamento de FIsica, CNEA, Av. Libertador 8250, 1429 Buenos Aires, Argentina 
690 1 0 |a ANALYTICAL EXPRESSIONS 
690 1 0 |a COMPLEX TOPOLOGY 
690 1 0 |a CONCENTRATION OF 
690 1 0 |a CRITICAL TEMPERATURES 
690 1 0 |a FIRST ORDER 
690 1 0 |a FLEXIBLE CHAINS 
690 1 0 |a LOW TEMPERATURES 
690 1 0 |a POLYMER SYSTEMS 
690 1 0 |a RNA MOLECULES 
690 1 0 |a SIMPLIFIED MODELS 
690 1 0 |a TEMPERATURE REGIMES 
690 1 0 |a TOPOLOGICAL PHASE 
690 1 0 |a TWO PHASIS 
690 1 0 |a MOLECULES 
690 1 0 |a NUCLEIC ACIDS 
690 1 0 |a RNA 
690 1 0 |a TECHNETIUM 
690 1 0 |a TOPOLOGY 
690 1 0 |a PHASE TRANSITIONS 
700 1 |a Zemba, G.R. 
773 0 |d 2009  |g v. 80  |k n. 4  |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys.  |o Nro. del artículo: 041926  |x 15393755  |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 
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856 4 0 |u https://doi.org/10.1103/PhysRevE.80.041926  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_DellErba  |y Handle 
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