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Journal of Computational Biology
Folding Dynamics of Proteins from Denatured to Native State: Principal Component Analysis
To cite this article:
Ahmet Palazoglu, Attila Gursoy, Yaman Arkun, Burak Erman.
Journal of Computational Biology.
2004,
11(6): 1149-1168.
doi:10.1089/cmb.2004.11.1149.
Published in Volume: 11 Issue 6: January 20, 2005
Ahmet Palazoglu College of Engineering, Koç University, Sariyer, Istanbul, Turkey. Attila Gursoy College of Engineering, Koç University, Sariyer, Istanbul, Turkey. Yaman Arkun College of Engineering, Koç University, Sariyer, Istanbul, Turkey. Burak Erman College of Engineering, Koç University, Sariyer, Istanbul, Turkey. Several trajectories starting from random configurations and ending in the native state for chymotrypsin inhibitor 2, CI2, are generated using a Go-type model where the backbone torsional angles execute random jumps on which a drift towards their native values is superposed. Bond lengths and bond angles are kept fixed, and the size of the backbone atoms and side groups are recognized. The large datasets obtained are analyzed using a particular type of principal component analysis known as Karhunen–Loeve expansion (KLE). Trajectories are decomposed separately into modes in residue space and time space. General features of different folding trajectories are compared in the modal space and relationships between the structure of CI2 and its folding dynamics are obtained. Dynamic scaling and order reduction of the folding trajectories are discussed. A continuous wavelet transform is used to decompose the nonstationary folding trajectories into windows exhibiting different features of folding dynamics. Analysis of correlations confirms the known two-state nature of folding of CI2. All of the conserved residues of the protein are shown to be stationary in the small modes of the residue space. The sequential nature of folding is shown by examining the slow modes of the trajectories. The present model of protein folding dynamics is compared with the simple Rouse model of polymer dynamics. Principal component analysis is shown to be a very effective tool for the characterization of the general folding features of proteins.  This paper was cited by:Statistical thermodynamics of residue fluctuations in native proteins Osman N. Yogurtcu, Mert Gur, Burak Erman The Journal of Chemical Physics. Feb 2009, Vol. 130, No. 9: 095103 CrossRef Optimum folding pathways for growing protein chains Serife Senturk, Sefer Baday, Yaman Arkun, Burak Erman Physical Biology. Jan 2008, Vol. 4, No. 4: 305-316 CrossRef Conformational states and folding pathways of peptides revealed by principal-independent component analyses Phuong H. Nguyen Proteins: Structure, Function, and Bioinformatics. Jun 2007, Vol. 67, No. 3: 579-592 CrossRef Application of principal component analysis in protein unfolding: An all-atom molecular dynamics simulation study Atanu Das, Chaitali Mukhopadhyay The Journal of Chemical Physics. Feb 2007, Vol. 127, No. 16: 165103 CrossRef Complexity of free energy landscapes of peptides revealed by nonlinear principal component analysis Phuong H. Nguyen Proteins: Structure, Function, and Bioinformatics. Jan 2007, Vol. 65, No. 4: 898-913 CrossRef Distance versus energy fluctuations and electron transfer in single protein molecules Jau Tang Physical Review E. Jul 2006, Vol. 73, No. 6 CrossRef Optimum folding pathways of proteins: Their determination and properties U  ur G  ner, Yaman Arkun, Burak Erman The Journal of Chemical Physics. Feb 2006, Vol. 124, No. 13: 134911 CrossRef Karhunen-Loeve analysis for pattern description in phase separated lipid bilayer systems Jeff M. Switzer, Sandra V. Bennun, Marjorie L. Longo, Ahmet Palazoglu, Roland Faller The Journal of Chemical Physics. Feb 2006, Vol. 124, No. 23: 234906 CrossRef
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