Statistics of the Primary Sequences of Designed Protein-Like Copolymers: Levy Flight Type Long Range Correlations
Elena N. Govorun, V. A. Ivanov, Alexei R. Khokhlov, Pavel G. Khalatur, Alexander L. Borovinsky, Alexander Y. Grosberg · arXiv (Cornell University) · 2001
We consider the statistical properties of primary sequences of two-letter HP copolymers (H for hydrophobic and P for polar) designed to have water soluble globular conformations with H monomers shielded from water inside the shell of P monomers. We show, both by computer simulations and by exact analytical calculation, that for large globules and flexible polymers such sequences exhibit long-range correlations which can be described by Levy-flight statistics.