Proteins : Coexistence of Stability and Flexibility Academic Article uri icon


  • 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 d f , the spectral dimension d,, 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 (d f , d s , and N) and found to obey this equation of state.

publication date

  • January 1, 2008