The Lack of Long Range Correlations is a Necessary Condition for a Functional Biologically Active Protein

TL;DR

This paper investigates how the absence of long-range correlations in monomer sequences is essential for proteins to be functionally active, revealing that such correlations create energetic barriers preventing certain conformational states.

Contribution

It introduces a mean-field model showing that long-range correlations hinder the transition to frozen states, providing insights into protein sequence organization.

Findings

Long-range correlations lead to infinite energetic barriers.

Frozen states are kinetically inaccessible in correlated heteropolymers.

Results relate to DNA intron sequence properties.

Abstract

We study random heteropolymer chain with gaussian distribution of kinds of monomers. The long-range correlations between kinds of monomers were introduce. The mean-field analysis of such heteropolymer indicates the existence of infinite energetic barrier between heteropolymer random coil and frozen states. Thus, the frozen state is kinetically unavailable for the random heteropolymer with power-law correlations in monomers' sequence. The relationship between our results and some early obtained results for the DNA intrones sequences are discussed.