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Effective interaction between helical bio-molecules

Biological Physics · Submitted 29 Dec 1999 · Published version

Pith's verdict: Abstract-only claims of orientation-dependent attraction-repulsion reversal and nonmonotonic salt response in helical DNA simulations are potentially interesting but unverifiable from the given text.

T0 · AI review

How this review was made: An AI referee (grok-4.3) read the paper on May 14, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

  1. T0 AI review An AI read the paper and answered a fixed list of questions.
  2. T1 Audit Automatic checks that the references and files the paper relies on exist and match.
  3. T2 Compute The paper's code or calculations re-run with the same results.
  4. T3 Formal statement The claims written out in a formal math language a computer can read.
  5. T4 Proof Those claims proved, and the proof checked by computer.

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arXiv IDphysics/9912053 (version 1)
Pith IDPXWFVVF6, Pith's permanent record of this paper and its review
CitationE.Allahyarov, H.Loewen. "Effective interaction between helical bio-molecules." arXiv:physics/9912053 (1999). https://pith.science/paper/PXWFVVF6
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Claim paper

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Referee report
The paper

The paper claims

Simulations of helical DNA show that effective forces between strands switch between attraction and repulsion depending on their relative twist and can strengthen or weaken nonmonotonically with added salt.

The reading

The paper calculates the force and torque between two parallel B-DNA strands by simulating the primitive electrolyte model with an explicit double-helical charge pattern. It finds that the sign of the force at short range is controlled by the molecules' angular alignment, allowing both attraction and repulsion below 6 Å. The same simulations reveal a non-monotonic salt dependence that linear Debye-Hückel theory cannot capture. At larger separations the results recover the linear prediction once an effective renormalized charge is assigned to each strand.

What carries the argument

Primitive-model Monte Carlo simulation of two rigid double-helical charge distributions immersed in explicit monovalent ions and solvent, used to compute the orientation-dependent effective force and torque.

Extended reading notes

Core claim

When two model B-DNA molecules are placed at fixed center-to-center distance and relative azimuthal angle, the net force between them changes sign with orientation for separations smaller than 6 Å and exhibits a non-monotonic dependence on monovalent salt concentration; both features arise from nonlinear counterion screening and disappear only after the molecules are sufficiently separated that a renormalized linear theory becomes accurate.

Load-bearing premise

A rigid double-helix of discrete charges plus a continuum dielectric solvent is enough to capture the nonlinear screening that sets the sign and salt dependence of the real force at the distances studied.

Editorial extensions

If this is right

  • At physiological salt the effective interaction between parallel DNA segments can be attractive when their grooves face each other and repulsive when they are staggered.
  • Increasing monovalent salt first strengthens then weakens the short-range attraction, producing a non-monotonic curve with a maximum around 0.1–0.5 M.
  • For separations greater than roughly 10 Å the force is well described by a linear theory once each strand is assigned a renormalized charge smaller than its bare charge.
  • Torque tends to align the molecules into the attractive angular configuration at short range.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The orientation dependence supplies a microscopic mechanism for cholesteric ordering or bundling transitions observed in dense DNA solutions.
  • Similar helical patterning on other stiff polyelectrolytes (actin, microtubules, certain viruses) should produce analogous twist-dependent forces.
  • The non-monotonic salt curve suggests an optimal ionic strength for compaction that could be tested by varying salt in single-molecule pulling experiments.
Original abstract

The effective interaction between two parallel strands of helical bio-molecules, such as deoxyribose nucleic acids (DNA), is calculated using computer simulations of the "primitive" model of electrolytes. In particular we study a simple model for B-DNA incorporating explicitly its charge pattern as a double-helix structure. The effective force and the effective torque exerted onto the molecules depend on the central distance and on the relative orientation. The contributions of nonlinear screening by monovalent counterions to these forces and torques are analyzed and calculated for different salt concentrations. As a result, we find that the sign of the force depends sensitively on the relative orientation. For intermolecular distances smaller than $6\AA$ it can be both attractive and repulsive. Furthermore we report a nonmonotonic behaviour of the effective force for increasing salt concentration. Both features cannot be described within linear screening theories. For large distances, on the other hand, the results agree with linear screening theories provided the charge of the bio-molecules is suitably renormalized.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,771 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.62 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.86 · compares with prior results 0.83 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The effective interaction between two parallel strands of helical bio-molecules, such as deoxyribose nucleic acids (DNA), is calculated using computer simulations of the "primitive" model of electrolytes. In particular we study a simple model for B-DNA incorporating explicitly its charge pattern as a double-helix structure. The effective force and the effective torque exerted onto the molecules depend on the central distance and on the relative orientation. The contributions of nonlinear screening by monovalent counterions to these forces and torques are analyzed and calculated for different salt concentrations. As a result, we find that the sign of the force depends sensitively on the relative orientation. For intermolecular distances smaller than $6\AA$ it can be both attractive and repulsive. Furthermore we report a nonmonotonic behaviour of the effective force for increasing salt concentration. Both features cannot be described within linear screening theories. For large distances, on the other hand, the results agree with linear screening theories provided the charge of the bio-molecules is suitably renormalized.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The effective interaction between two parallel strands of helical bio-molecules, such as deoxyribose nucleic acids (DNA), is calculated using computer simulations of the "primitive" model of electrolytes. method 0.68 0.89 0.04 asserted 0.99
s1 In particular we study a simple model for B-DNA incorporating explicitly its charge pattern as a double-helix structure. method 0.75 0.84 0.02 asserted 0.95
s2 The effective force and the effective torque exerted onto the molecules depend on the central distance and on the relative orientation. result 0.90 0.67 0.07 asserted 1.00
s3 The contributions of nonlinear screening by monovalent counterions to these forces and torques are analyzed and calculated for different salt concentrations. contribution 0.51 0.91 0.05 asserted 0.96
s4 As a result, we find that the sign of the force depends sensitively on the relative orientation. result 1.00 0.96 0.39 asserted 1.00
s5 For intermolecular distances smaller than $6\AA$ it can be both attractive and repulsive. result 1.00 0.92 0.16 asserted 0.62
s6 Furthermore we report a nonmonotonic behaviour of the effective force for increasing salt concentration. result 1.00 0.94 0.15 asserted 1.00
s7 Both features cannot be described within linear screening theories. interpretation 0.96 0.69 0.22 asserted 1.00
s8 For large distances, on the other hand, the results agree with linear screening theories provided the charge of the bio-molecules is suitably renormalized. result 0.79 0.85 0.15 asserted 0.89

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Discussion

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