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arxiv: 2309.02736 · v1 · submitted 2023-09-06 · 🧬 q-bio.BM · cond-mat.soft· cond-mat.stat-mech

Stochastic nucleosome disassembly mediated by remodelers and histone fragmentation

Xiangting Li , Tom Chou This is my paper

Pith reviewed 2026-05-24 07:01 UTC · model grok-4.3

classification 🧬 q-bio.BM cond-mat.softcond-mat.stat-mech
keywords nucleosome disassemblyremodelershistone fragmentationstochastic kineticsMarkov chain modelDNA binding competitionprocessive motorsdetachment time
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The pith

Remodelers reduce nucleosome detachment time only if their DNA affinities match histone contacts, and processive motors make the rate equal to the single-bond dissociation constant times motor speed.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The authors build stochastic models of a nucleosome where histone-DNA contacts break one by one until the histone detaches from DNA. Competitive binding by remodeler proteins shortens the average time to detachment, but only when the remodelers bind DNA with strength comparable to the histone contacts themselves. When processive motors act, the detachment rate becomes directly proportional to the product of the single-contact dissociation constant and the motor's procession speed. The model is extended to allow histone subunits to dissociate separately, showing that free histones in solution can rebind and rescue partially disassembled nucleosomes while remodeler binding favors release of the intact histone over fragmented paths.

Core claim

In the monomeric model, eigenvalue analysis of the master equation for the number of broken contacts shows that remodeler competition lowers mean detachment time only for comparable binding affinities; for processive motors the detachment rate equals the single-bond dissociation constant multiplied by motor speed. The multimeric extension demonstrates that complete disassembly times depend on subunit-DNA contact energies, that bulk histone concentrations rescue partial nucleosomes by rebinding, and that higher remodeler binding rates bias the kinetics toward intact-histone detachment rather than fragmentation.

What carries the argument

Continuous-time Markov chain whose states track the number of intact histone-DNA contacts; mean detachment times are obtained from the smallest eigenvalue of the transition-rate matrix, with multimeric states added to allow independent subunit detachment and rebinding from bulk solution.

If this is right

  • Competitive remodeler binding shortens typical detachment time only when affinities are comparable to histone-DNA contacts.
  • Processive-motor detachment rate equals histone single-bond dissociation constant times motor procession speed.
  • Multimeric disassembly times depend on the individual subunit-DNA contact energies.
  • Bulk histone subunit concentrations can rescue and thereby slow the net disassembly of partially disassembled nucleosomes.
  • Higher remodeler binding rates bias the disassembly pathways toward release of the intact histone rather than fragmented subunits.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Cells might tune chromatin accessibility by expressing remodelers whose binding strengths are matched to specific histone contacts.
  • Varying motor speed or contact strength in single-molecule experiments could directly test the predicted linear dependence of detachment rate on those two quantities.
  • The rescue effect implies that local histone concentration near chromatin could act as a buffer against rapid nucleosome loss during remodeling.

Load-bearing premise

The disassembly proceeds through a sequence of independent contact breaks whose rates depend only on the current number of remaining contacts, without cooperative interactions between contacts.

What would settle it

In vitro measurement of nucleosome detachment times using remodelers whose DNA-binding affinities are varied across a range both above and below histone-DNA affinity; the model predicts a sharp drop in detachment time only near equal affinities.

Figures

Figures reproduced from arXiv: 2309.02736 by Tom Chou, Xiangting Li.

Figure 1
Figure 1. Figure 1: FIG. 1. A schematic of simple, intact-histone detachment. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Schematic of a hypothetical attached-histone [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: shows numerically computed eigenvalues of W for different values of s = ε. For sufficiently small ε, they fall into the three clusters governed by A. FIG. 3. Eigenvalues λ of the dimensionless transition matrix W = W˜ /kon associated with Ω for N = 14 and ε = s = 0.1, 0.03, 0.01, 0.003, 0.001, 0.0003, and 0.0001. The principal dimensionless eigenvalues are λ0 ≲ 0, while two other groups cluster near −1 and… view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. A simple coarse-grained approximation of the [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Values of [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Schematic of the multimeric nucleosome disas [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Illustration of the geometric trial process. Dimer [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
Figure 9
Figure 9. Figure 9: The monomeric disassembly pathway usually oc [PITH_FULL_IMAGE:figures/full_fig_p011_9.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Dimensionless rates of remodeler-free, multimeric nucleosome disassembly measured by the principal eigenvalue and the [PITH_FULL_IMAGE:figures/full_fig_p012_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Schematic of the two general pathways of nucleosome [PITH_FULL_IMAGE:figures/full_fig_p012_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Principal eigenvalues – an estimate of [PITH_FULL_IMAGE:figures/full_fig_p013_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11. The fraction of disassembly pathways that lead to [PITH_FULL_IMAGE:figures/full_fig_p014_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12. Principal eigenvalue of the linear facilitated detach [PITH_FULL_IMAGE:figures/full_fig_p025_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: FIG. 13. A schematic of possible macrostates of [PITH_FULL_IMAGE:figures/full_fig_p026_13.png] view at source ↗
read the original abstract

We construct and analyze monomeric and multimeric models of the stochastic disassembly of a single nucleosome. Our monomeric model predicts the time needed for a number of histone-DNA contacts to spontaneously break, leading to dissociation of a non-fragmented histone from DNA. The dissociation process can be facilitated by DNA binding proteins or processing molecular motors that compete with histones for histone-DNA contact sites. Eigenvalue analysis of the corresponding master equation allows us to evaluate histone detachment times under both spontaneous detachment and protein-facilitated processes. We find that competitive DNA binding of remodeling proteins can significantly reduce the typical detachment time but only if these remodelers have DNA-binding affinities comparable to those of histone-DNA contact sites. In the presence of processive motors, the histone detachment rate is shown to be proportional to the product of the histone single-bond dissociation constant and the speed of motor protein procession. Our simple intact-histone model is then extended to allow for multimeric nucleosome kinetics that reveal additional pathways of disassembly. In addition to a dependence of complete disassembly times on subunit-DNA contact energies, we show how histone subunit concentrations in bulk solution can mediate the disassembly process by rescuing partially disassembled nucleosomes. Moreover, our kinetic model predicts that remodeler binding can also bias certain pathways of nucleosome disassembly, with higher remodeler binding rates favoring intact-histone detachment.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript constructs monomeric and multimeric stochastic models of nucleosome disassembly as continuous-time Markov chains whose states track the number of broken histone-DNA contacts. Eigenvalue analysis of the associated master equations is used to compute characteristic detachment times for spontaneous dissociation as well as for processes facilitated by competitive DNA-binding remodelers and processive motors. The central predictions are that remodelers reduce typical detachment time only when their affinities are comparable to those of histone-DNA contacts, that motor-assisted detachment rate is proportional to the product of the single-bond dissociation constant and motor speed, and that the multimeric extension introduces additional pathways whose selection depends on subunit-DNA energies, bulk subunit concentrations, and remodeler binding rates.

Significance. If the derivations hold, the work supplies quantitative, parameter-based predictions for how remodelers and motors modulate nucleosome disassembly kinetics and pathway selection. The proportionality relation for processive motors and the affinity-threshold condition for remodelers are directly falsifiable and relevant to chromatin-remodeling mechanisms. The multimeric extension and rescue-by-concentration effect add biological realism. The modeling approach is standard and internally consistent, with results obtained from rate-matrix eigenvalues rather than fitted outputs.

minor comments (2)
  1. The explicit form of the rate matrix (or the characteristic equation solved for the eigenvalues) should be displayed in the main text or a clearly referenced supplementary section so that the detachment-time expressions can be reproduced without ambiguity.
  2. Numerical illustrations or parameter tables listing the histone-DNA contact energies, remodeler affinities, and motor speeds used to generate any plotted detachment times would improve clarity and allow readers to assess sensitivity.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive evaluation of the manuscript, the clear summary of our modeling approach and predictions, and the recommendation for minor revision. No specific major comments were raised in the report.

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper constructs monomeric and multimeric continuous-time Markov chain models for nucleosome disassembly, defines states by the number of broken histone-DNA contacts, and applies standard eigenvalue analysis to the master equation to compute characteristic detachment times. All reported predictions, including effects of competitive remodeler binding and the proportionality of detachment rate to the product of single-bond dissociation constant and motor procession speed, follow directly as mathematical consequences of the defined transition rates and rate matrix without any reduction to fitted parameters, self-definitional loops, or load-bearing self-citations. The model is self-contained, with results derived from the stated assumptions and equations rather than inputs renamed as outputs.

Axiom & Free-Parameter Ledger

4 free parameters · 2 axioms · 0 invented entities

The central claims rest on several kinetic rate parameters introduced to define the models rather than derived from first principles, along with the standard mathematical framework of master equations.

free parameters (4)
  • histone-DNA contact energies
    Determines complete disassembly times in the multimeric model
  • remodeler DNA-binding affinities and rates
    Control reduction in detachment time and pathway bias
  • motor procession speed
    Enters the proportionality for histone detachment rate
  • histone single-bond dissociation constant
    Multiplies with motor speed to set detachment rate
axioms (2)
  • standard math The nucleosome disassembly process is governed by a continuous-time Markov chain whose probabilities obey a master equation
    Enables eigenvalue analysis to extract detachment times
  • domain assumption Histone-DNA contacts break according to specified rates with possible coupling in multimeric cases
    Required to construct the state space and transition rates

pith-pipeline@v0.9.0 · 5770 in / 1456 out tokens · 35898 ms · 2026-05-24T07:01:59.202049+00:00 · methodology

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