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Beta Sheet Alignment with Cyclic Coordinate Descent David Arndt - May 18, 2007
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Cyclic Coordinate Descent (CCD) CCD algorithm originally used for loop closure Iteratively adjusts torsion angles along a sub- segment of the peptide We use it for: Closing gaps in a structure Repairing bad torsion angles for a segment of a peptide, and using CCD to close created gaps Aligning hydrogen bonds between Beta sheets
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Cyclic Coordinate Descent (CCD) http://www.equinoxpharma.com/products/phragment.shtml
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Closing gaps with CCD
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Angle repair with CCD
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Beta sheet alignment Given list of acceptor and donor residues Align “phatom” O with real O, “phantom” H with real H
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Sample hydrogen bonds file Acceptor-Donor pairs. Can include comments. Residue names optional. Can be copied and pasted from VADAR. MET 1 VAL 17 GLN 2 GLU 64 ILE 3 LEU 15 PHE 4 LEU 67 VAL 5 ILE 13 LYS 6 LEU 69 THR 7 GLY 10 # Not called by PyMol for 1xqq_a LYS 11 THR 7 ILE 13 VAL 5 LEU 15 ILE 3 SER 65 PHE 4 LEU 67 LYS 6
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Example: ubiquitin (1xqq NMR)
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Central strand dislocated
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Alignment strategy Find segments of residues with user-specified hydrogen bonds. Gaps of 1 residue allowed. Red = anchor Green = rigid Between = flexible
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Repaired structure Too close. PyMol creates covalent bond.
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Hydrogens removed
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Daggett-like model of PrP Sc (From Mark Berjanskii, Mar 28) DeMarco ML, Daggett V. From conversion to aggregation: protofibril formation of the prion protein. Proc Natl Acad Sci U S A. 2004 Feb 24;101(8):2293-8.
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Daggett-like model
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Beta-sheet misalignment
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Minimization with GAFolder Helix
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Alignment strategy Red = anchor Green = rigid Between = flexible - First align rigid segment to align hydrogen bonds - Then adjust 2nd flexible region to close gap 1st N-anchor 2nd N-anchor C-anchor 1st flexible region 2nd flexible region
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Aligned - but not well ALA 115 tries to align with SER 132, but SER 132 is facing the wrong way
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Future directions Use a more refined Daggett-like model from Mark as a starting point Gap closure often fails with short flexible regions Implement trial-and-error algorithm to try closing a gap with different sets of parameters Omit wrong-facing residues? Something more sophisticated?
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Thanks Dr. Wishart Raj Maiti Mark Berjanskii Cam Macdonell Marie-Aude Coutouly Dr. David Case
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