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Phys. Rev. Lett. 100, 208101 (2008) [4 pages]

Proteins: Coexistence of Stability and Flexibility

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Shlomi Reuveni1, Rony Granek2, and Joseph Klafter1
1School of Chemistry, Tel-Aviv University, Tel-Aviv 69978, Israel
2Department of Biotechnology Engineering, Ben-Gurion University, Beer Sheva 84105, Israel

Received 6 March 2008; published 19 May 2008

We introduce an equation for protein native topology based on recent analysis of data from the Protein Data Bank and on a generalization of the Landau-Peierls instability criterion for fractals. The equation relates the protein fractal dimension df, the spectral dimension ds, and the number of amino acids N. Deviations from the equation may render a protein unfolded. The fractal nature of proteins is shown to bridge their seemingly conflicting properties of stability and flexibility. Over 500 proteins have been analyzed (df, ds, and N) and found to obey this equation of state.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.208101
DOI:
10.1103/PhysRevLett.100.208101
PACS:
87.14.E−, 05.40.−a, 05.45.Df, 87.15.hp