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Homology Modeling • • • • • • • • • comparative modeling vs. ab initio folding alignment (check gaps) threading loop building re-packing side-chains in core, DEE, SCWRL fold evaluation/scoring statistical potentials (pot. of mean force) - DFIRE minimization servers: Swiss-model • ab initio folding – Rosetta (Baker) – MONSSTER (Skolnick) – I-TASSER (Zhang) Sequence Alignment • critical step • gaps should be in loops (check in final model) • dynamic programming (Smith-Waterman) – LALIGN: http://www.ch.embnet.org/software/LALIGN_form.html – adjust gap parameters: gap-open penalty>x? gap-extension penalty<x? x=average match score – could also adjust substitution matrix (PAM250, BLOSUM62) • use PSI-Blast to include info from homologs – iterative: retrieves homologs, refines search... • use HMM to align to family Threading • use info about 3D structure to improve alignment • local secondary structure, solvent-accessibility • 3D profiles (Eisenberg) • 3D-PSSM/Phyre (Sternberg, Lawrence Kelley) • THREADER • RAPTOR MODELLER (Sali) • references – A. Šali and T. L. Blundell. Comparative protein modelling by satisfaction of spatial restraints. J. Mol. Biol. 234, 779-815, 1993. – A. Fiser, R. K. G. Do and A. Š ali. Modeling of loops in protein structures. Protein Science 9, 1753-1773, 2000. – Fiser A, Sali A. (2003). Modeller: generation and refinement of homology-based protein structure models. Methods Enz. 374:461-91. • loop-modeling via dynamics • evaluation: – >30% identity? – stereochemistry: Procheck – contacts/exposure: ProSA (Sippl, 1993) – distance-based pair potentials Side-chain re-packing • mutations cause steric conflicts (and voids) – – – – changing rotamers can relieve conflicts adjacent side-chains are coupled multiple changes might be required combinatorial search: exhaustive versus Monte Carlo (Holm & Sander, 1992) • DEE (Dead-End Elimination) – – – – pruning method pre-processing, singles, pairs Desmet, Mayo reduction in branching factor? • rigid backbone assumption – how important is backbone flexibility? • interesting application: use DEE to – also sample alternative backbone determine rotamer populations for conformations at each site tryptophans; use to predict fluorescence – (Georgiev and Donald, 2007) quenching times (Hellings 2003, BiophysJ) SCWRL 3.0 • Canutescu et al. (2003) – Dunbrack BBdep rotamer library – de-couple interaction graph into bi-connected components representing local dependencies side-chain interactions: energy of configuration: • TreePack (Xu and Berger, JACM 2006) – geometric neighborhood graph decomposition; up to 90x faster Loop Modeling • two approaches: 1. MD/conformational sampling 2. templates from loop library • accuracy depends on length: 2-4 (turns), 4-8, >8 (ab initio) • importance in immunoglobulins (hyper-variable loops in antigen-binding region) • modeling loops via molecular dynamics – Monte Carlo conformational search using a FF/energy function, high temp MD: 800K (Bruccoleri & Karplus, 1990) – “Does Conformational Free Energy Distinguish Loop Conformations in Proteins?” • templates from loop library (examples from existing structures) – amino acid similarities – fit to stems: • Ca distance, vectors (i-1:i,j,j+1), carbonyls?, f/y angles Scoring • statistical potentials – knowledge-based poten (Sippl, 1990) – potential of mean force – residue-based potentials (e.g. Cb-Cb contact distance, or centers-of-mass) • atomic pairwise potentials – (Lu & Skolnick, 2001) – capture side-chain interactions better – discriminate correct folds better – z-score of true fold vs. decoys (gapless threading) DFIRE (Yaoqi Zhou) • Distance-scaled Finite Ideal-gas REference state – – – – – Zhou and Zhou (Prot. Sci, 2002) all-atom potential Nexp(i,j,r) will not increase in r2 as in an infinite system a=1.57 gives best correlation with density in radial shells improves ability to recognize correct fold versus decoys instead, assume: fair??? – see also: • RAPDF (Samudrala and Moult, 1998) • DOPE (Shen and Sali, 2006) Minimization • a logical step, however... • one of the conclusions from CASP4 (Baker): – minimization generally made models worse (took predicted structures farther from native) – threshold: • minimization works if rmsd<2Å, • but ab initio models are often 4-6Å rmsd – backbone adjustments required?