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Stress relaxation in fiber networks via force-dependent stochastic severing

T0 review · 2 major / 0 minor · reviewed 2026-06-28 · grok-4.3

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Pith's one-line read Tension-dependent severing rates shift the connectivity threshold for rigidity in strained fiber networks.

desk verdict The paper shows force-dependent severing shifts rigidity onset in opposite directions in 2D lattice simulations, but the 2D restriction is a real limit on broader claims. read the letter →

arxiv 2606.01752 v1 pith:YF7IWAMW submitted 2026-06-01 cond-mat.soft cond-mat.stat-mechphysics.bio-ph

Prathamesh Kulkarni , Anatoly B. Kolomeisky , Fred C. MacKintosh This is my paper · ORCID
classification cond-mat.softcond-mat.stat-mechphysics.bio-ph
keywords fibernetworksstressrelaxationstochasticseveringforce-dependentfeedbackrigiditytransitionbending-dominatedregimemechanochemicaltriangularlattice
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper develops a computational model of fiber networks under constant applied strain in which fibers sever stochastically at a rate that depends on local tension. When tension suppresses the severing rate, stress relaxes more slowly and the network enters the bending-dominated regime at lower connectivity than would be expected from the average number of cuts. When tension increases the severing rate, relaxation occurs faster and the transition moves to higher connectivity. The size of these shifts grows with the magnitude of the applied shear strain and the strength of the force feedback. A reader would care because the result shows how local mechanochemical rules can move the mechanical transition point without any change in the mean connectivity.

What carries the argument

A 2D triangular-lattice model in which each bond severs at a stochastic rate that is a function of the instantaneous tension it carries.

What would settle it

Measure the connectivity at which the network crosses into bending-dominated response in a physical or simulated network whose severing rate versus force has been independently calibrated; if the observed threshold does not move in the direction and by the amount predicted for the measured feedback strength and strain, the central claim is falsified.

Watch

Extended reading notes

Core claim

The limit of tension-suppressed severing delays stress relaxation and shifts the transition into the bending-dominated regime to lower-than-expected connectivity. In contrast, tension-enhanced severing accelerates relaxation and shifts the transition to higher-than-expected connectivity. The magnitude of this shift depends on the applied shear strain and the strength of the feedback.

Load-bearing premise

The force dependence of the severing rate is assumed to take a form that produces the reported directional shifts, and the 2D triangular lattice is assumed to capture the essential mechanics of real 3D fiber networks.

Editorial extensions

If this is right

  • Tension-suppressed severing produces slower stress relaxation than tension-independent severing at the same average rate.
  • The connectivity marking the onset of the bending-dominated regime drops below the tension-independent value under tension-suppressed severing.
  • Tension-enhanced severing produces faster stress relaxation and raises the connectivity at the bending transition.
  • Both the relaxation time and the size of the connectivity shift increase with larger applied shear strain.
  • Stronger force feedback amplifies the displacement of the rigidity threshold in either direction.

Reading between the lines

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

  • Cells could adjust the mechanical stability of their cytoskeletal networks by changing only the force sensitivity of severing proteins rather than their overall concentration.
  • The same feedback logic could be used to design synthetic gels whose rigidity under sustained load is tunable by the strain level at which they are held.
  • Because the shift depends on strain, networks might cross from one regime to another at a critical strain even if connectivity remains fixed.
  • Whether the 2D lattice results survive in three-dimensional disordered networks remains an open test of the model.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

2 major / 0 minor

Summary. The paper develops a computational model of stress relaxation in 2D spring and fiber networks subject to stochastic, force-dependent severing. Using triangular-lattice simulations, it reports that tension-suppressed severing delays relaxation and shifts the bending-dominated rigidity transition to lower-than-expected connectivity, whereas tension-enhanced severing accelerates relaxation and shifts the transition to higher connectivity; the magnitude of these shifts depends on applied shear strain and feedback strength.

Significance. If the reported shifts are robust, the work supplies a concrete illustration of how local mechanochemical feedback can move a network across a rigidity transition, which is relevant to understanding cytoskeletal and extracellular-matrix mechanics. The absence of any machine-checked proofs, reproducible code, or parameter-free derivations, however, limits the immediate impact.

major comments (2)
  1. [Abstract] Abstract: the abstract states simulation outcomes but supplies no implementation details, error analysis, parameter values, or validation against theory or experiment, so the degree to which the data support the stated shifts cannot be assessed.
  2. [Abstract] Abstract / model description: the central claim of connectivity-dependent shifts rests exclusively on 2D triangular-lattice simulations (central-force isostatic point z=4). Real biological networks are three-dimensional (isostatic point z=6) with out-of-plane modes, random cross-link orientations, and possible torsional stiffness; the functional form of the stochastic severing rate is not derived from 3D mechanics, so the reported strain- and feedback-strength dependence may be an artifact of the 2D topology and periodic boundaries.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments. We respond point by point to the major comments and indicate planned revisions.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the abstract states simulation outcomes but supplies no implementation details, error analysis, parameter values, or validation against theory or experiment, so the degree to which the data support the stated shifts cannot be assessed.

    Authors: We agree that the abstract is concise and omits these details. In the revised manuscript we will expand the abstract to reference the key parameter ranges (connectivity z, shear strain, feedback strength) and state that implementation, error analysis, and validation against limiting analytic cases appear in the Methods and Results sections. revision: yes

  2. Referee: [Abstract] Abstract / model description: the central claim of connectivity-dependent shifts rests exclusively on 2D triangular-lattice simulations (central-force isostatic point z=4). Real biological networks are three-dimensional (isostatic point z=6) with out-of-plane modes, random cross-link orientations, and possible torsional stiffness; the functional form of the stochastic severing rate is not derived from 3D mechanics, so the reported strain- and feedback-strength dependence may be an artifact of the 2D topology and periodic boundaries.

    Authors: The manuscript deliberately employs a 2D triangular lattice to isolate the interplay between force-dependent severing and the central-force isostatic point at z=4. We will add a dedicated paragraph in the Discussion that explicitly acknowledges the limitations of the 2D setting, including the lack of out-of-plane modes and torsional stiffness, and the phenomenological form of the severing rate. While quantitative shifts may differ in 3D, the qualitative mechanism whereby tension-dependent severing displaces the rigidity transition is expected to persist; the results remain robust across the system sizes and boundary conditions examined in 2D. revision: partial

Circularity Check

0 steps flagged · score 0.0 of 10

Simulation outputs on 2D lattice are independent of inputs; no circular reductions

full rationale

The paper reports results exclusively from computational simulations of stochastic, force-dependent severing on a 2D triangular lattice with central-force and bending springs. The claimed shifts in the bending-dominated rigidity transition (to lower or higher connectivity under tension-suppressed vs. tension-enhanced severing) are presented as direct outputs of these simulations for varying strain and feedback strength. No equations, fitted parameters, or self-citations are described that would reduce these shifts to definitions, prior self-citations, or ansatzes by construction. The model is stated as an explicit computational implementation with stated assumptions, and the results are not claimed to derive from analytical uniqueness theorems or renamings of known patterns. This is a standard non-circular simulation study.

Assumptions & free parameters 2 free parameters · 2 assumptions · 0 invented entities

The central claim rests on the domain assumption that 2D triangular lattices capture essential network mechanics and on the modeling choice that severing probability depends on force in a manner that produces the reported opposing shifts; no free parameters are explicitly named but feedback strength and strain are varied.

free parameters (2)
  • feedback strength
    The magnitude of the shift is stated to depend on the strength of the mechanochemical feedback.
  • applied shear strain
    The magnitude of the shift is stated to depend on the applied shear strain.
assumptions (2)
  • domain assumption Fiber networks exhibit rigidity transitions as a function of connectivity or applied strain.
    This background statement frames the entire investigation.
  • domain assumption Severing occurs stochastically with a rate that depends on local force.
    This is the core modeling assumption of the computational model.

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Cite this review

Pith. "Pith review of Stress relaxation in fiber networks via force-dependent stochastic severing." pith.science (2026). https://pith.science/paper/YF7IWAMW

@misc{pith2026260601752,
  author       = {Pith},
  title        = {Pith review of: Stress relaxation in fiber networks via force-dependent stochastic severing},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/YF7IWAMW}},
  note         = {Machine review of arXiv:2606.01752}
}
read the original abstract

Fiber networks contribute to the mechanical stability of various biological systems, from cells to tissues. Such systems have been modeled by networks of springs or fibers that exhibit rigidity transitions as a function of either connectivity or applied strain. For a fiber network under constant applied strain, severing can reduce the connectivity and destabilize an initially rigid structure. Here, we investigate stress relaxation in spring and fiber networks in the presence of stochastic, force-dependent severing. A computational model to predict stress relaxation with mechanochemical feedback of stress on severing is developed. We also examine the effects of severing on the network topology and onset of rigidity transition. Using 2D triangular lattice-based computer simulations, we explore different limits of the feedback and demonstrate the shift in the onset of rigidity depending on the limit. The limit of tension-suppressed severing delays stress relaxation and shifts the transition into the bending-dominated regime to lower-than-expected connectivity. In contrast, tension-enhanced severing accelerates relaxation and shifts the transition to higher-than-expected connectivity. It is also found that the magnitude of this shift depends on the applied shear strain and the strength of the feedback. Our theoretical approach clarifies some microscopic aspects of these phenomena. Understanding the impact of such feedback mechanisms can provide valuable insights into designing systems by tuning the feedback to the desired response.

Figures

Figures reproduced from arXiv: 2606.01752 by the authors.

Figure 1
Figure 1. FIG. 1: The first panel of the schematic demonstrates [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2: (a) Diagram showing the mechanical phase tran [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3: (a) Stress relaxation [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: FIG. 4: Absence of feedback ( [PITH_FULL_IMAGE:figures/full_fig_p005_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5: Presence of Feedback: Stress [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]

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Reference graph

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