External field influence on semiflexible macromolecules: geometric coupling

TL;DR

This paper introduces a geometric approach to model how external fields influence semiflexible DNA molecules, modifying their internal energy through effective metrics and redefined curvature parameters.

Contribution

It presents a novel geometric framework incorporating external field effects into the WLC model via effective metrics and redefined curvatures.

Findings

External fields affect DNA energy through geometric coupling.

Effective metrics depend on external potential.

Hamiltonian formulation of the model is provided.

Abstract

We suggested a geometric approach to address the external field influence on the DNA molecules, described by the WLC model via geometric coupling. It consists in the introduction of the effective metrics depending on the potential of the external field, with further re-definition of the arc-length parameter and of the extrinsic curvatures of the DNA molecules. It yields the nontrivial impact of the external field in the internal energy of macromolecules. We give the Hamiltonian formulation of this model and perform its preliminary analysis in the redefinition of the initial energy density.