Abstract
A challenge in computational protein folding is to assemble secondary structure elements-helices and strands-into well-packed tertiary structures. Particularly difficult is the formation of beta-sheets from strands, because they involve large conformational searches at the same time as precise packing and hydrogen bonding. Here we describe a method, called Geocore-2, that (1) grows chains one monomer or secondary structure at a time, then (2) disconnects the loops and performs a fast rigid-body docking step to achieve canonical packings, then (3) in the case of intrasheet strand packing, adjusts the side-chain rotamers; and finally (4) reattaches loops. Computational efficiency is enhanced by using a branch-and-bound search in which pruning rules aim to achieve a hydrophobic core and satisfactory hydrogen bonding patterns. We show that the pruning rules reduce computational time by 10(3)- to 10(5)-fold, and that this strategy is computationally practical at least for molecules up to about 100 amino acids long.
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- Bates P. A., Jackson R. M., Sternberg M. J. Model building by comparison: a combination of expert knowledge and computer automation. Proteins. 1997;Suppl 1:59–67. doi: 10.1002/(sici)1097-0134(1997)1+<59::aid-prot9>3.3.co;2-k. [DOI] [PubMed] [Google Scholar]
- Bowie J. U. Helix packing angle preferences. Nat Struct Biol. 1997 Nov;4(11):915–917. doi: 10.1038/nsb1197-915. [DOI] [PubMed] [Google Scholar]
- Chothia C. Coiling of beta-pleated sheets. J Mol Biol. 1983 Jan 5;163(1):107–117. doi: 10.1016/0022-2836(83)90031-1. [DOI] [PubMed] [Google Scholar]
- Chothia C., Finkelstein A. V. The classification and origins of protein folding patterns. Annu Rev Biochem. 1990;59:1007–1039. doi: 10.1146/annurev.bi.59.070190.005043. [DOI] [PubMed] [Google Scholar]
- Chothia C., Janin J. Relative orientation of close-packed beta-pleated sheets in proteins. Proc Natl Acad Sci U S A. 1981 Jul;78(7):4146–4150. doi: 10.1073/pnas.78.7.4146. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chothia C. Principles that determine the structure of proteins. Annu Rev Biochem. 1984;53:537–572. doi: 10.1146/annurev.bi.53.070184.002541. [DOI] [PubMed] [Google Scholar]
- Cohen F. E., Sternberg M. J., Taylor W. R. Analysis of the tertiary structure of protein beta-sheet sandwiches. J Mol Biol. 1981 May 25;148(3):253–272. doi: 10.1016/0022-2836(81)90538-6. [DOI] [PubMed] [Google Scholar]
- Dill K. A., Chan H. S. From Levinthal to pathways to funnels. Nat Struct Biol. 1997 Jan;4(1):10–19. doi: 10.1038/nsb0197-10. [DOI] [PubMed] [Google Scholar]
- Edwards M. S., Sternberg J. E., Thornton J. M. Structural and sequence patterns in the loops of beta alpha beta units. Protein Eng. 1987 Jun;1(3):173–181. doi: 10.1093/protein/1.3.173. [DOI] [PubMed] [Google Scholar]
- Engelman D. M., Steitz T. A., Goldman A. Identifying nonpolar transbilayer helices in amino acid sequences of membrane proteins. Annu Rev Biophys Biophys Chem. 1986;15:321–353. doi: 10.1146/annurev.bb.15.060186.001541. [DOI] [PubMed] [Google Scholar]
- Harris N. L., Presnell S. R., Cohen F. E. Four helix bundle diversity in globular proteins. J Mol Biol. 1994 Mar 11;236(5):1356–1368. doi: 10.1016/0022-2836(94)90063-9. [DOI] [PubMed] [Google Scholar]
- Hutchinson E. G., Sessions R. B., Thornton J. M., Woolfson D. N. Determinants of strand register in antiparallel beta-sheets of proteins. Protein Sci. 1998 Nov;7(11):2287–2300. doi: 10.1002/pro.5560071106. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ishikawa K., Yue K., Dill K. A. Predicting the structures of 18 peptides using Geocore. Protein Sci. 1999 Apr;8(4):716–721. doi: 10.1110/ps.8.4.716. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Janin J., Chothia C. Packing of alpha-helices onto beta-pleated sheets and the anatomy of alpha/beta proteins. J Mol Biol. 1980 Oct 15;143(1):95–128. doi: 10.1016/0022-2836(80)90126-6. [DOI] [PubMed] [Google Scholar]
- Kurochkina N., Privalov G. Heterogeneity of packing: structural approach. Protein Sci. 1998 Apr;7(4):897–905. doi: 10.1002/pro.5560070407. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lesk A. M., Brändén C. I., Chothia C. Structural principles of alpha/beta barrel proteins: the packing of the interior of the sheet. Proteins. 1989;5(2):139–148. doi: 10.1002/prot.340050208. [DOI] [PubMed] [Google Scholar]
- Michie A. D., Orengo C. A., Thornton J. M. Analysis of domain structural class using an automated class assignment protocol. J Mol Biol. 1996 Sep 20;262(2):168–185. doi: 10.1006/jmbi.1996.0506. [DOI] [PubMed] [Google Scholar]
- Ortiz A. R., Kolinski A., Skolnick J. Nativelike topology assembly of small proteins using predicted restraints in Monte Carlo folding simulations. Proc Natl Acad Sci U S A. 1998 Feb 3;95(3):1020–1025. doi: 10.1073/pnas.95.3.1020. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Reddy B. V., Blundell T. L. Packing of secondary structural elements in proteins. Analysis and prediction of inter-helix distances. J Mol Biol. 1993 Oct 5;233(3):464–479. doi: 10.1006/jmbi.1993.1524. [DOI] [PubMed] [Google Scholar]
- Richardson J. S. The anatomy and taxonomy of protein structure. Adv Protein Chem. 1981;34:167–339. doi: 10.1016/s0065-3233(08)60520-3. [DOI] [PubMed] [Google Scholar]
- Roseman M. A. Hydrophilicity of polar amino acid side-chains is markedly reduced by flanking peptide bonds. J Mol Biol. 1988 Apr 5;200(3):513–522. doi: 10.1016/0022-2836(88)90540-2. [DOI] [PubMed] [Google Scholar]
- Simons K. T., Kooperberg C., Huang E., Baker D. Assembly of protein tertiary structures from fragments with similar local sequences using simulated annealing and Bayesian scoring functions. J Mol Biol. 1997 Apr 25;268(1):209–225. doi: 10.1006/jmbi.1997.0959. [DOI] [PubMed] [Google Scholar]
- Sklenar H., Etchebest C., Lavery R. Describing protein structure: a general algorithm yielding complete helicoidal parameters and a unique overall axis. Proteins. 1989;6(1):46–60. doi: 10.1002/prot.340060105. [DOI] [PubMed] [Google Scholar]
- Srinivasan R., Rose G. D. LINUS: a hierarchic procedure to predict the fold of a protein. Proteins. 1995 Jun;22(2):81–99. doi: 10.1002/prot.340220202. [DOI] [PubMed] [Google Scholar]
- Yue K., Dill K. A. Folding proteins with a simple energy function and extensive conformational searching. Protein Sci. 1996 Feb;5(2):254–261. doi: 10.1002/pro.5560050209. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Yue K, Dill KA. Sequence-structure relationships in proteins and copolymers. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1993 Sep;48(3):2267–2278. doi: 10.1103/physreve.48.2267. [DOI] [PubMed] [Google Scholar]