Abstract:
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.
Registro:
Documento: |
Artículo
|
Título: | Topological phase transition in a RNA model in the de Gennes regime |
Autor: | Dell'Erba, M.G.; Zemba, G.R. |
Filiación: | Instituto de Física de Mar Del Plata, IFIMAR (CONICET-UNMdP), Funes 3350, 7600 Mar del Plata, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar Del Plata, Funes 3350, 7600 Mar del Plata, Argentina Facultad de Ciencias Fisicomatemáticas e Ingeniería, Pontificia Universidad Católica Argentina, Av. A. Moreau de Justo 1500, 1107 Buenos Aires, Argentina Departamento de FIsica, CNEA, Av. Libertador 8250, 1429 Buenos Aires, Argentina
|
Idioma: |
Inglés
|
Palabras clave: | Analytical expressions; Complex topology; Concentration of; Critical temperatures; First order; Flexible chains; Low temperatures; Polymer systems; RNA molecules; Simplified models; Temperature regimes; Topological phase; Two phasis; Molecules; Nucleic acids; RNA; Technetium; Topology; Phase transitions |
Año: | 2009
|
Volumen: | 80
|
Número: | 4
|
Número de artículo: | 041926
|
DOI: |
http://dx.doi.org/10.1103/PhysRevE.80.041926 |
Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
|
Título revista abreviado: | Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
|
ISSN: | 15393755
|
CODEN: | PLEEE
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_DellErba |
Referencias:
- Tinoco Jr., I., Bustamante, C., (1999) J. Mol. Biol., 293, p. 271. , 10.1006/jmbi.1999.3001
- Orland, H., Zee, A., (2002) Nucl. Phys. B, 620, p. 456. , 10.1016/S0550-3213(01)00522-3
- Müller, M., (2003) Phys. Rev. e, 67, p. 021914. , 10.1103/PhysRevE.67.021914
- Hyeon, C., Dima, R.I., Thirumalai, D., (2006) J. Chem. Phys., 125, p. 194905. , 10.1063/1.2364190
- Pande, V.S., Yu. Grosberg, A., Tanaka, T., (2000) Rev. Mod. Phys., 72, p. 259. , 10.1103/RevModPhys.72.259
- Vernizzi, G., Orland, H., Zee, A., (2005) Phys. Rev. Lett., 94, p. 168103. , 10.1103/PhysRevLett.94.168103
- Vernizzi, G., Orland, H., (2005) Acta Phys. Pol. B, 36, p. 2821
- Dell'Erba, M.G., Zemba, G.R., (2009) Phys. Rev. e, 79, p. 011913. , 10.1103/PhysRevE.79.011913
- Pillsbury, M., Orland, H., Zee, A., (2005) Phys. Rev. e, 72, p. 011911. , 10.1103/PhysRevE.72.011911
- Lindahl, T., Adams, A., Fresco, J.R., (1966) Proc. Natl. Acad. Sci. U.S.A., 55, p. 941. , 10.1073/pnas.55.4.941
- (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
- Misra, V.K., Draper, D.E., (2001) Proc. Natl. Acad. Sci. U.S.A., 98, p. 12456. , 10.1073/pnas.221234598
- Draper, D.E., (2004) RNA, 10, p. 335. , 10.1261/rna.5205404
- Travers, K.J., Boyd, N., Herschlag, D., (2007) RNA, 13, p. 1205. , 10.1261/rna.566007
- Hackl, E.V., Blagoi, Y.P., (2000) Acta Biochim. Pol., 47, p. 103
- 'Thooft, G., (1974) Nucl. Phys. B, 72, p. 461. , 10.1016/0550-3213(74)90154-0
- De Gennes, P.-G., (1979) Scaling Concepts in Polymer Physics, , Cornell University Press, Ithaca, NY
- Vernizzi, G., Ribeca, P., Orland, H., Zee, A., (2006) Phys. Rev. e, 73, p. 031902. , 10.1103/PhysRevE.73.031902
- Noguchi, H., Yoshikawa, K., (1997) Chem. Phys. Lett., 278, p. 184. , 10.1016/S0009-2614(97)00974-3
- Ueda, M., Yoshikawa, K., (1996) Phys. Rev. Lett., 77, p. 2133. , 10.1103/PhysRevLett.77.2133
- Doniach, S., Garel, T., Orland, H., (1996) J. Chem. Phys., 105, p. 1601. , 10.1063/1.472031
- Gradshteyn, I.S., Ryzhik, I.M., Jeffrey, A., Zwillinger, D., (1994) Table of Integrals, Series, and Products, , 5th ed. (Academic Press, New York
- Zivković, M., (1975) Publ. Elektrotehnick. Fak. Ser. Mat. Fiz., 498-541, pp. 217-221
- Abramowitz, M., Stegun, I.A., (1972) Handbook of Mathematical Functions, , Dover Publications, New York
- Wolfram, S., (1991) Mathematica, , Addison-Wesley, New York
- Gluick, T., Gerstner, R., Draper, D., (1997) J. Mol. Biol., 270, p. 451. , 10.1006/jmbi.1997.1119
- Stanley, H.E., (1971) Introduction to Phase Transitions and Critical Phenomena, , Oxford Science Publications, New York
Citas:
---------- APA ----------
Dell'Erba, M.G. & Zemba, G.R.
(2009)
. Topological phase transition in a RNA model in the de Gennes regime. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(4).
http://dx.doi.org/10.1103/PhysRevE.80.041926---------- CHICAGO ----------
Dell'Erba, M.G., Zemba, G.R.
"Topological phase transition in a RNA model in the de Gennes regime"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 4
(2009).
http://dx.doi.org/10.1103/PhysRevE.80.041926---------- MLA ----------
Dell'Erba, M.G., Zemba, G.R.
"Topological phase transition in a RNA model in the de Gennes regime"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 4, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.041926---------- VANCOUVER ----------
Dell'Erba, M.G., Zemba, G.R. Topological phase transition in a RNA model in the de Gennes regime. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(4).
http://dx.doi.org/10.1103/PhysRevE.80.041926