Abstract
The strong interaction between metal ions in solution and highly charged RNA molecules is critical for RNA structure formation and stabilization. Metal ions binding to RNA can induce RNA structural changes that are important for RNA cellular functions. Therefore, quantitative modeling of the ion effects is essential for RNA structure prediction and RNA-based molecular design. Recently, inspired by the increasing experimental evidence that supports the importance of ion correlation and fluctuation in ion–RNA interactions, we developed a new computational model, Monte Carlo Tightly Bound Ion (MCTBI) model. The validity of the model is shown by the improved accuracy in the predictions for ion binding properties and ion-dependent free energies for RNA structures. In this chapter, using homodimeric tetraloop-receptor docking as an illustrative example, we showcase the MCTBI method for the computational prediction of the ion effects in RNA folding.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Doudna JA, Cech TR (2002) The chemical repertoire of natural ribozymes. Nature 418:222–228
Bachellerie JP, Cavaille J, Huttenhofer A (2002) The expanding snoRNA world. Biochimie 84:774–790
Gong C, Maquat LE (2011) lncRNAs transactivate STAU1-mediated mRNA decay by duplexing with 3′ UTRs via Alu elements. Nature 470:284–288
Bartel DP (2009) MicroRNAs: target recognition and regulatory functions. Cell 136:215–233
Kertesz M, Iovino N, Unnerstall U, Gaul U, Segal E (2007) The role of site accessibility in microRNA target recognition. Nat Genet 39:1278–1284
Brion P, Westhof E (1997) Hierarchy and dynamics of RNA folding. Annu Rev Biophys Biomol Struct 26:113–137
Tinoco I Jr, Bustamante C (1999) How RNA folds. J Mol Biol 293:271–281
Cate JH, Doudna JA (1996) Metal-binding sites in the major groove of a large ribozyme domain. Sturcture 15:1221–1229
Misra VK, Draper DE (2001) A thermodynamic framework for Mg2+ binding to RNA. Proc Natl Acad Sci USA 98:12456–12461
Draper DE, Grilley D, Soto AM (2005) Ions and RNA folding. Annu Rev Biophys Biomol Struct 34:221–243
Hayes RL, Noel JK, Whitford PC, Mohanty U, Sanbonmatsu KY, Onuchic JN (2014) Reduced model captures Mg2+-RNA interaction free energy of riboswitches. Biophys J 106:1508–1519
Tan ZJ, Chen SJ (2005) Electrostatic correlations and fluctuations for ion binding to a finite length polyelectrolyte. J Chem Phys 122:44903
Kolculi E, Lee NK, Thirumalai D, Woodson SA (2004) Folding of the Tetrahymena ribozyme by polyamines: importance of counterion valence and size. J Mol Biol 341:27–36
Denesyuk NA, Thirumalai D (2015) How do metal ions direct ribozyme folding. Nat Chem 7:793–801
Stein A, Crothers DM (1976) Equilibrium binding of magnesium(II) by Escherichia coli tRNAfMet. Biochemistry 15:157–160
Stein A, Crothers DM (1976) Conformational changes of transfer RNA. The role of magnesium(II). Biochemistry 15:160–168
Sosnick TR, Pan T (2003) RNA folding: models and perspectives. Curr Opin Struct Biol 13:309–316
Woodson SA (2005) Metal ions and RNA folding: a highly charged topic with a dynamic future. Curr Opin Chem Biol 9:104–109
Draper DE (2008) RNA folding: thermodynamic and molecular descriptions of the roles of ions. Biophys J 95:5489–5495
Chen SJ (2008) RNA folding: conformational statistics, folding kinetics, and ion electrostatics. Annu Rev Biophys 37:197–214
Auffinger P, Bielecki L, Westhof E (2003) The Mg2+ binding sites of the 5S rRNA loop E motif as investigated by molecular dynamics simulations. Chem Biol 10:551–561
Chen AA, Draper DE, Pappu RV (2009) Molecular simulation studies of monovalent counterion-mediated interactions in a model RNA kissing loop. J Mol Biol 390:805819
Hayes RL, Noel JK, Mohanty U, Whitford PC, Hennelly SP, Onuchic J, Sanbonmatsu KY. (2012) Magnesium fluctuations modulate RNA dynamics in the SAM-I riboswitch. J Am Chem Soc 134:12043–C12053
Dong F, Olsen B, Baker NA (2008) Computational methods for biomolecular electrostatics. Methods Cell Biol 84:843–870
Manning GS (1978) The molecular theory of polyelectrolyte solutions with applications to the electrostatic properties of polynucleotides. Q Rev Biophys 11:179–249
Zhou HX (1994) Macromolecular electrostatic energy within the nonlinear Poisson-Boltzmann equation. J Chem Phys 100:3152–3162
Misra V, Draper DE (1999) The interpretation of Mg2+ binding isotherms for nucleic acids using Poisson-Boltzmann theory. J Mol Biol 17:1135–1147
Baker NA, Sept D, McCammon JA (2001) Electrostatics of nanosystems: application to microtubules and the ribosome. Proc Natl Acad Sci USA 98:10037–10041
Tjong H, Zhou HX (2006) The dependence of electrostatic solvation energy on dielectric constants in Poisson-Boltzmann calculations. J Chem Phys 125:206101
Tan ZJ, Chen SJ (2010) Predicting ion binding properties for RNA tertiary structures. Biophys J 99:1565–1576
Bai Y, Greenfeld M, Herschlag D (2007) Quantitative and comprehensive decomposition of the ion atmosphere around nucleic acids. J Am Chem Soc 129:14981–14988
Mak CH, Henke PS (2013) Ions and RNAs: free energies of counterion-mediated RNA fold stabilities. J Chem Theory Comput 9:621–639
Giambasu GM, Luchko T, Herschlag D, York DM, Case DA (2014) Ion counting from explicit-solvent simulations and 3D-RISM. Biophys J 106:883–894
Hayes RL, Noel JK, Mandic A, Whitford PC, Sanbonmatsu KY, Mohanty U, Onuchic JN (2015) Generalized manning condensation model captures the RNA ion atmosphere. Phys Rev Lett 114:258105
Tan ZJ, Chen SJ (2006) Ion-mediated nucleic acid helix-helix interactions. Biophys J 91:518–536
Tan ZJ, Chen SJ (2006) Electrostatic free energy landscape for nucleic acid helix assembly. Nucleic Acids Res 34:6629–6639
Tan ZJ, Chen SJ (2007) RNA helix stability in mixed Na+/Mg2+ solution. Biophys J 92:3615–3632
Tan ZJ, Chen SJ (2008) Salt dependence of nucleic acid hairpin stability. Biophys J 95:738–752
He Z, Chen SJ (2012) Predicting ion-nucleic acid interactions by energy landscape-guided sampling. J Chem Theory Comput 8:2095–2102
Zhu Y, Chen SJ (2014) Many-body effect in ion binding to RNA. J Chem Phys 141:055101
Sun LZ, Chen SJ. (2016) Monte Carlo Tightly Bound Ion model: predicting ion binding properties of RNA with ion correlations and fluctuations. J Chem Theory Comput 12:3370–3381
Jaeger L, Michel F, Westhof E (1994) Involvement of a GNRA tetraloop in long-range RNA tertiary interactions. J Mol Biol 236:1271–1276
Murphy FL, Cech TR (1994) GAAA tetraloop and conserved bulge stabilize tertiary structure of a group I intron domain. J Mol Biol 236:49–63
Costa M, Deme E, Jacquier A, Michel F (1997) Multiple tertiary interactions involving domain II of group II self-splicing introns. J Mol Biol 267:520–536
Khvorova A, Lescoute A, Westhof E, Jayasena SD (2003) Sequence elements outside the hammerhead ribozyme catalytic core enable intracellular activity. Nat Struct Biol 10:708–712
Davis JH, Tonelli M, Scott LG, Jaeger L, Williamson JR, Butcher SE (2005) RNA helical packing in solution: NMR structure of a 30 kDa GAAA tetraloop-receptor complex. J Mol Biol 351:371–382
Jared HD, Trenton RF, Marco T, Samuel EB (2007) Role of metal ions in the tetraloop-receptor complex as analyzed by NMR. RNA 13:79–86
Chen SW, Honig B (1997) Monovalent and divalent salt effects on electrostatic free energies defined by the nonlinear Poisson-Boltzmann equation: application to DNA binding reactions. J Phys Chem B 101:9113–9118
Magnus M, Boniecki MJ, Dawson W, Bujnicki JM (2016) SimRNAweb: a web server for RNA 3D structure modeling with optional restraints. Nucleic Acids Res 44:W315–W319
Cheng CY, Chou F, Das R (2015) Modeling complex RNA tertiary folds with Rosetta. Methods Enzymol 553:35–64
Krokhotin A, Dokholyan NV (2015) Computational methods toward accurate RNA structure prediction using coarse-grained and all-atom models. Methods Enzymol 553:65–89
Purzycka KJ, Popenda M, Szachniuk M, Antczak M, Lukasiak P, Blazewicz J, Adamiak RW (2015) Automated 3D RNA structure prediction using the RNAComposer method for riboswitches. Methods Enzymol 553:3–34
Bellaousov S, Reuter JS, Seetin MG, Mathews DH (2013) RNAstructure: web servers for RNA secondary structure prediction and analysis. Nucleic Acids Res 41:W471–W474
Gruber AR, Bernhart SH, Lorenz R (2015) The ViennaRNA web services. In: RNA bioinformatics. Methods in molecular biology, vol 1269. Springer, New York, pp 307–326
Bindewald E, Kluth T, Shapiro BA (2010) CyloFold: secondary structure prediction including pseudoknots. Nucleic Acids Res 38:W368–W372
Xu XJ, Zhao PN, Chen SJ (2014) Vfold: a web server for RNA structure and folding thermodynamics prediction. PLoS One 9:e107504
Cao S, Chen SJ (2005) Predicting RNA folding thermodynamics with a reduced chain representation model. RNA 11:1884–1897
Cao S, Chen SJ (2011) Physics-based de novo prediction of RNA 3D structures. J Phys Chem B 115:4216–4226
Rosenbluth MN, Rosenbluth AW (1955) Monte Carlo calculation of the average extension of molecular chains. J Chem Phys 23:365–369
Zhu Y, He Z, Chen SJ (2015) TBI server: a web server for predicting ion effects in RNA folding. PLos One 10:e0119705
Acknowledgements
This research was supported by NIH grant GM063732.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Science+Business Media LLC
About this protocol
Cite this protocol
Sun, LZ., Chen, SJ. (2017). A New Method to Predict Ion Effects in RNA Folding. In: Bindewald, E., Shapiro, B. (eds) RNA Nanostructures . Methods in Molecular Biology, vol 1632. Humana Press, New York, NY. https://doi.org/10.1007/978-1-4939-7138-1_1
Download citation
DOI: https://doi.org/10.1007/978-1-4939-7138-1_1
Published:
Publisher Name: Humana Press, New York, NY
Print ISBN: 978-1-4939-7137-4
Online ISBN: 978-1-4939-7138-1
eBook Packages: Springer Protocols