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Introduction to the RNA Folding Problems. C.-M. Chen thanks Shi-Jie Chen at University of Missouri-Columbia for providing the materials. What is RNA?. RNA Primary Structure. (- e). Structure of RNA backbone. 5'. (- e). (- e). (- e). 3'. RNA chain directionality: 5 ' 3 '
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Introduction to the RNA Folding Problems C.-M. Chen thanks Shi-Jie Chen at University of Missouri-Columbia for providing the materials
RNA Primary Structure (-e) Structure of RNA backbone 5' (-e) (-e) (-e) 3' • RNA chain directionality: 5'3' • Backbone carries charge (-e) on each nucleotide • Formation of an RNA structure requires cations
Four Types of Bases Adenine (A) Uracil (U) Guanine (G) Cytosine (C) Purines Pyrimidines
Waston-Crick canonical base pair Bases Pairs A U C G
RNA = Ribonucleic acid = Polynucleotide P O c c c O P each bond ~ 1.5 A nucleotide structure We need 7 torsional angles per nucleotide to specify the 3D structure of an RNA
RNA secondary structure = base pairing U Base stacking provides stability
RNA Helix A-form RNA helix; Grooves Binding sites
The Definition of RNA Secondary and Tertiary Structure A graphic representation of base pairing
Secondary Structure Contact (Base Pair) Tertiary Structure Contact (Base Pair)
RNA Tertiary Structure tRNA 2° Structure tRNA 3° Structure
Tertiary Interactions are Critical to Functions TAR bound form free form • Base triplet is the key for TAR function • (to open up the major groove for protein binding)
The Central Dogma transcription splicing mRNA tRNA translation ribosome DNA pre mRNA mRNA protein
RNAs are Critical to Cellular Functions • Messenger RNA (mRNA) • codes for protein • Small nuclear RNAs (snRNA) • splice mRNA in nucleus • Transfer RNA (tRNA) carries • amino acid to ribosome • Ribosomal RNA (rRNA) is the • integral part of the ribosome
Goal:To predict structure stability folding kinetics function of an RNA from its sequence Ultimate goal:To predict RNA function from its sequence
Why Study RNA Folding Stability? • mRNA has sufficient time to equilibrate before translation is initiated equilibrium stability Stability is tied to function Ribosome binds here mRNA
Why Study RNA Folding Kinetics? B Aconversion is slow as compared with the translational process Conformation B is kinetically trapped. Kinetics is tied to Function
Folding Free Energy of Secondary Structure Folding free energy: ΔG = G ( secondary structure) - G ( ) ΔG = ΔH – T ΔS
Stabilizing Forces for RNA Secondary Structure • Restriction of rotor ΔS (strong)< 0 • Base stacking ΔH (strong)< 0 • Hydrophobic effectΔS (weak) > 0 • Hydrogen bondingΔH (weak)< 0 Stability =Stacking-Restriction of rotor
ΔG for a Secondary Structure Nearest-Neighbor Model • stabilitystackinglocal interaction between adjacent base pairs • example( 1M Na+, 37°C) 3' 5' c G c G G c A A c G G c G c 5' 3' ΔGtot = -6.6 kcal/mol
Experimental Thermodynamic Parameters ∆Hfor base stacks
Phylogenetic Method • Structure is more conserved than sequence • Compare sequences of RNAs with the same function from different species • Find covariance bases that conserve base pairs (W-C pairs: G-C, A-U) c G UGGUGCACCA A U UAGUC GACUA G c G c UGGUG GACCA U A Known structure
Free Energy minimization • Particularly useful if only one sequence is available • For all the possible secondary structures for a given sequence, find the structure with the min ΔG a. Algorithm: lowest ΔG for all 5-nt 6-nt full sequence b. Usually have multiple optimal structures http://www.bioinfo.rpi.edu/~zukerm/rna/mfold-3.1.html
H2O and metal ions are integral parts of nucleic acid structure
[Na+] stabilizes secondary structure From Tinoco & Bustamante,JMB (1999) 273,271 • [Na+] by 10 folds Tm by 3.8 C
Multivalent Ions Stabilize Tertiary Fold Pseudoknot
[Mg2+] Stabilization Na+ = 200mM + 50 From Tinoco & Bustamante,JMB (1999) 273,271
RNA folding kinetics strongly depends on ions Na+ Secondary structure Mg2+ Tertiary structure Metal ion binding sites can be formed before, during, or after the formation of the tertiary structure
Part II. Basic Thermodynamics Thermodynamics is for systems in thermal equilibrium
The population (concentration) of molecules in (macro)state A is determined by the free energy Low free energy = High population
Relative population between U & N: • FU - FN= work required to convert U to N U/(U+N) N U
U • Stability F G ΔG More stable N Larger ΔG
Conformational fluctuation [A] A1 A A GA GA A1 A1 A2 t t
Cooperativity (Two-State-ness) Two-State (U & N) Transition Corbett & Roche, Biochemistry 23, 1888 (1984)