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Appearance of de Gennes length in force-induced transitions

Keerti Chauhan1, Garima Mishra2, Vimal Kishore1, and Sanjay Kumar1

  • 1Department of Physics, Banaras Hindu University, Varanasi 221 005, India
  • 2Department of Physics, Ashoka University, Sonipat 131 029, India

Phys. Rev. E 108, L042501 – Published 2 October, 2023

DOI: https://doi.org/10.1103/PhysRevE.108.L042501

Abstract

Using Langevin dynamic simulations, a simple coarse-grained model of a DNA protein construct is used to study the DNA rupture and the protein unfolding. We identify three distinct states: (i) zipped DNA and collapsed protein, (ii) unzipped DNA and stretched protein, and (iii) unzipped DNA and collapsed protein. Here, we find a phase diagram that shows these states depending on the size of the DNA handle and the protein. For a less stable protein, unfolding is solely governed by the size of the linker DNA, whereas if the protein's stability increases, complete unfolding becomes impossible because the rupture force for DNA has reached a saturation regime influenced by the de Gennes length. We show that unfolding occurs via a few intermediate states by monitoring the force-extension curve of the entire protein. We extend our study to a heterogeneous protein system, where similar intermediate states in two systems can lead to different protein unfolding paths.

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