Primary Sequences of Protein-Like Copolymers: Levy Flight Type Long Range Correlations
Elena N. Govorun, Victor A. Ivanov, Alexei R. Khokhlov, Pavel G. Khalatur, Alexander L. Borovinsky, Alexander Yu. Grosberg
Abstract
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.
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