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 ${d}_{s}$, 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