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Dihedral angle entropy measures for intrinsically disordered proteins.

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Summary

Intrinsically disordered proteins (IDPs) can become ordered upon binding. This study quantizes the entropic cost of this ordering, revealing IDP entropy significantly impacts binding free energy.

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Area of Science:

  • Biophysics
  • Computational Biology
  • Protein Dynamics

Background:

  • Protein stability relies on energetic and entropic factors.
  • Intrinsically disordered proteins (IDPs) gain structure upon binding to partner proteins, reducing free energy.
  • Understanding the entropic contribution to IDP ordering is crucial for predicting binding affinity.

Purpose of the Study:

  • To quantify the entropic cost associated with ordering intrinsically disordered proteins (IDPs) due to dihedral angle configurations.
  • To investigate the conformational landscape and dependencies of dihedral angles in an IDP.

Main Methods:

  • Molecular dynamics simulations of a leucine zipper dimer IDP.
  • Discretization of dihedral angle probability distributions into conformational states.
  • Application of a k-means clustering algorithm adapted for circular dihedral angles.
  • Calculation of dihedral configurational entropy using Kullback-Leibler divergence.

Main Results:

  • Simulations revealed disorder in six phi and psi dihedral angles of the IDP.
  • A compositional clustering method identified strong dependencies among dihedral conformations.
  • The calculated dihedral configurational entropy (S) at 300 K was approximately 3 kcal/mol (TS).
  • IDP entropy was roughly half of that expected for independently distributed dihedrals.

Conclusions:

  • The entropic contribution of IDP dihedral states is a significant factor in the overall free energy of binding.
  • IDP conformational entropy, though reduced compared to independent distributions, plays a decisive role in the binding process.
  • This work provides a quantitative measure of IDP entropic cost during partner protein interaction.