Can solvents tie knots? Helical folds of biopolymers in liquid environments

Helices are the quintessential geometric motif of the microscale, from <i>α</i>-helices in proteins to double helices in DNA. Assembly of the helical biopolymers is a foundational step in a hierarchy of structure that leads to biological activity. By simulating folding in a simplified setting, we probe the role of the solvent in the collaborative processes governing biomaterials. Using the morphometric approach to solvation as a simulation technique, we performed computer experiments in which a short, flexible tube, which models a biopolymer in an aqueous environment, folds solely based on the interaction of the tube with the solvent. Our findings reveal a variety of helical structures that assemble depending on solvent conditions, including overhand knots and symmetric double helices. By differentiating the role of solvation, our work illuminates the environment of all soluble biomolecules, demonstrating that the solvent can drive fundamental rearrangements, even up to tying a simple overhand knot.

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Publication Details

Journal
PNAS Nexus
Published
2026-01-07
DOI
https://doi.org/10.1093/pnasnexus/pgag003
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Can solvents tie knots? Helical folds of biopolymers in liquid environments

Myfanwy E. Evans, Rhoslyn Coles
PNAS Nexus
Geometric and Algebraic Topology
article

Can solvents tie knots? Helical folds of biopolymers in liquid environments

Myfanwy E. Evans, Rhoslyn Coles
article en

Abstract

Helices are the quintessential geometric motif of the microscale, from <i>α</i>-helices in proteins to double helices in DNA. Assembly of the helical biopolymers is a foundational step in a hierarchy of structure that leads to biological activity. By simulating folding in a simplified setting, we probe the role of the solvent in the collaborative processes governing biomaterials. Using the morphometric approach to solvation as a simulation technique, we performed computer experiments in which a short, flexible tube, which models a biopolymer in an aqueous environment, folds solely based on the interaction of the tube with the solvent. Our findings reveal a variety of helical structures that assemble depending on solvent conditions, including overhand knots and symmetric double helices. By differentiating the role of solvation, our work illuminates the environment of all soluble biomolecules, demonstrating that the solvent can drive fundamental rearrangements, even up to tying a simple overhand knot.

PNAS NexusVol. 5(2)
University of Potsdam (DE), Chemnitz University of Technology (DE)
Openalex Percentile: Top 92%
Geometric and Algebraic Topology
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Can solvents tie knots? Helical folds of biopolymers in liquid environments — Myfanwy E. Evans, Rhoslyn Coles · PNAS Nexus (2026) | TGRS Research Map | TGRS