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Energy landscape of a small peptide revealed by dihedral angle principal component analysis

Authors

  • Yuguang Mu,

    Corresponding author
    1. Institute of Physical and Theoretical Chemistry, J. W. Goethe University, Frankfurt, Germany
    Current affiliation:
    1. School of Biological Science, Nanyang Technological University, Nanyang Drive 60, Singapore 637551
    • Institute of Physical and Theoretical Chemistry, J. W. Goethe University, Marie-Curie, Str., 11, D-60439 Frankfurt, Germany
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  • Phuong H. Nguyen,

    1. Institute of Physical and Theoretical Chemistry, J. W. Goethe University, Frankfurt, Germany
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  • Gerhard Stock

    Corresponding author
    1. Institute of Physical and Theoretical Chemistry, J. W. Goethe University, Frankfurt, Germany
    • Institute of Physical and Theoretical Chemistry, J. W. Goethe University, Marie-Curie, Str., 11, D-60439 Frankfurt, Germany
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Abstract

A 100 ns molecular dynamics simulation of penta-alanine in explicit water is performed to study the reversible folding and unfolding of the peptide. Employing a standard principal component analysis (PCA) using Cartesian coordinates, the resulting free-energy landscape is found to have a single minimum, thus suggesting a simple, relatively smooth free-energy landscape. Introducing a novel PCA based on a transformation of the peptide dihedral angles, it is found, however, that there are numerous free energy minima of comparable energy (≲ 1 kcal/mol), which correspond to well-defined structures with characteristic hydrogen-bonding patterns. That is, the true free-energy landscape is actually quite rugged and its smooth appearance in the Cartesian PCA represents an artifact of the mixing of internal and overall motion. Well-separated minima corresponding to specific conformational structures are also found in the unfolded part of the free energy landscape, revealing that the unfolded state of penta-alanine is structured rather than random. Performing a connectivity analysis, it is shown that neighboring states are connected by low barriers of similar height and that each state typically makes transitions to three or four neighbor states. Several principal pathways for helix nucleation are identified and discussed in some detail. Proteins 2005. © 2004 Wiley-Liss, Inc.

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