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arxiv: 2606.30267 · v1 · pith:T7HX4UFRnew · submitted 2026-06-29 · 🧬 q-bio.SC · cond-mat.soft· physics.bio-ph

Pathway variability, coat stiffening and mechanical adaptation during clathrin-mediated endocytosis

Johannes H. H. Dreckhoff , Ulrich S. Schwarz , Leon Lettermann (Heidelberg University , Germany) This is my paper

Pith reviewed 2026-06-30 03:08 UTC · model grok-4.3

classification 🧬 q-bio.SC cond-mat.softphysics.bio-ph
keywords clathrin-mediated endocytosiscoat assemblymembrane curvaturekinetic Monte Carlo simulationemergent rigiditymechanical prestressadaptive assemblyvesicle formation
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The pith

Clathrin coats emerge as adaptive assemblies whose rigidity and curvature preference develop from their growth history to control vesicle formation.

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

The authors use a kinetic Monte Carlo simulation that links individual clathrin triskelia to a flexible membrane model, allowing the coat's mechanical properties to arise as the structure grows rather than being fixed in advance. This setup produces different outcomes—flat plaques, partial invaginations that stall, or complete vesicles—through two energy barriers that depend on how the coat has assembled. The resulting predictions match observed coat shapes in cells and changes after experimental cuts, all without any adjustable parameters, indicating that coats retain mechanical memory of their assembly conditions.

Core claim

The clathrin coat is an adaptive assembly with prestress and memory. Curved lattices stiffen because curvature changes demand more stretching or compression of the connected units, while added triskelia encode a history-dependent preferred curvature. An analytical theory based on non-Euclidean elasticity identifies internal variables and growth laws that the simulations confirm. The same rules generate flat, stalled, and closed coats via two sequential gates in the effective energy landscape, and these outcomes align with experimental geometries and nanodissection responses without fitting parameters.

What carries the argument

Hybrid discrete-continuum coupling of clathrin agents to an adaptive membrane, from which effective bending rigidity and preferred curvature emerge during lattice growth.

Load-bearing premise

The chosen microscopic assembly rules for clathrin triskelia and their coupling to the membrane in the kinetic Monte Carlo model accurately represent real interactions without needing extra parameters.

What would settle it

An experiment that measures coat curvature changes upon nanodissection or observed geometries in cells that deviate from the model's predictions even after accounting for environmental differences.

read the original abstract

Clathrin assemblies in cells can persist as flat plaques, abort after partial invagination, or close into clathrin-coated vesicles, but the determinants of these different fates remain unresolved. To investigate the stochastic and complex dynamics of clathrin assemblies, we have developed a kinetic Monte Carlo simulation framework that couples individual clathrin agents to an adaptive continuum membrane. In this hybrid discrete-continuum description, the effective coat bending rigidity and the preferred coat curvature emerge during growth, rather than being prescribed as material parameters. Once connected, curved lattices stiffen from molecular bending modes to coat-level rigidities, because curvature changes require increased stretching or compression, while newly incorporated triskelia hardcode a history-dependent preferred curvature. An analytical theory for non-Euclidean elasticity identifies the relevant internal variables and predicts growth laws that are validated by the simulations. The same microscopic assembly rules yield flat, stalled, and closed coats through two sequential gates in the effective membrane-coat energy landscape. Comparisons with experimentally observed coat geometries and nanodissection-induced curvature changes agree with our theoretical predictions without any fitting parameters. The clathrin coat thus emerges as an adaptive assembly with prestress and memory, whose fate and material parameters reflect the environment in which it has been growing.

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

2 major / 2 minor

Summary. The paper develops a hybrid kinetic Monte Carlo simulation framework that couples discrete clathrin triskelia to an adaptive continuum membrane model. It claims that effective bending rigidity and preferred curvature of the coat emerge dynamically during assembly rather than being prescribed a priori. An analytical theory based on non-Euclidean elasticity derives growth laws that are validated by the simulations. The same microscopic rules produce flat plaques, stalled intermediates, and closed vesicles via two sequential gates in the membrane-coat energy landscape. Direct comparisons to experimental coat geometries and nanodissection-induced curvature changes are reported to match the predictions with no adjustable parameters, leading to the conclusion that the coat is an adaptive assembly with prestress and growth history-dependent memory.

Significance. If the no-fitting-parameter agreement and emergence of material properties hold, the work supplies a mechanistic, bottom-up account of pathway variability in clathrin-mediated endocytosis that links molecular assembly rules to macroscopic coat fate and mechanics. This could unify disparate observations of flat, curved, and abortive coats and provide testable predictions for how membrane tension or curvature regulators alter coat behavior.

major comments (2)
  1. [Abstract / Methods] Abstract and Methods (hybrid model description): the central claim that comparisons with experimental coat geometries and nanodissection responses require 'no fitting parameters' is load-bearing for the adaptive-assembly conclusion. The manuscript must explicitly tabulate every microscopic parameter (bending moduli, assembly rates, stretching stiffnesses, etc.), state their literature or first-principles origin, and demonstrate that none were adjusted to reproduce the cited experimental data sets.
  2. [Analytical theory] Analytical theory section: the non-Euclidean elasticity derivation identifies internal variables and predicts growth laws, but the mapping from discrete triskelion incorporation rules to the continuum strain and curvature fields is not shown in sufficient detail to confirm that the predicted stiffening and history-dependent preferred curvature follow directly without additional assumptions.
minor comments (2)
  1. [Results] The description of the two sequential gates in the effective energy landscape would benefit from an explicit figure or equation showing the barrier heights as functions of coat size and membrane tension.
  2. [Methods] Simulation details on lattice discretization, time-stepping, and convergence checks with respect to the number of agents should be expanded to allow independent reproduction.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thoughtful comments on our manuscript. We address each major point below and will revise the manuscript to strengthen the presentation of our methods and theory.

read point-by-point responses

  1. Referee: [Abstract / Methods] Abstract and Methods (hybrid model description): the central claim that comparisons with experimental coat geometries and nanodissection responses require 'no fitting parameters' is load-bearing for the adaptive-assembly conclusion. The manuscript must explicitly tabulate every microscopic parameter (bending moduli, assembly rates, stretching stiffnesses, etc.), state their literature or first-principles origin, and demonstrate that none were adjusted to reproduce the cited experimental data sets.

    Authors: We agree that the no-fitting-parameter claim is central and that explicit documentation is required. In the revised manuscript we will add a dedicated table in the Methods section that enumerates every microscopic parameter (bending moduli, assembly rates, stretching stiffnesses, membrane tension values, etc.), cites its literature or first-principles source, and states that none were tuned to match the experimental geometries or nanodissection data. A short paragraph will confirm that the same fixed parameter set was used for all reported comparisons. revision: yes

  2. Referee: [Analytical theory] Analytical theory section: the non-Euclidean elasticity derivation identifies internal variables and predicts growth laws, but the mapping from discrete triskelion incorporation rules to the continuum strain and curvature fields is not shown in sufficient detail to confirm that the predicted stiffening and history-dependent preferred curvature follow directly without additional assumptions.

    Authors: We acknowledge that the mapping from discrete incorporation rules to continuum fields could be presented more explicitly. In the revision we will expand the Analytical theory section with a step-by-step derivation that starts from the discrete triskelion addition rules, shows how they update the local strain and curvature tensors, and demonstrates that the emergent stiffening and history-dependent preferred curvature arise directly from the non-Euclidean kinematics without extra assumptions. The supplementary information will contain the full algebraic details. revision: yes

Circularity Check

0 steps flagged

No significant circularity

full rationale

The derivation begins from explicit microscopic assembly rules in a kinetic Monte Carlo framework coupled to an adaptive continuum membrane. An analytical non-Euclidean elasticity theory is then derived to identify internal variables and growth laws; these laws are validated by running the same simulation framework, after which both are compared to external experimental coat geometries and nanodissection data with zero adjustable parameters. No quoted step equates a fitted quantity to a prediction by construction, renames a known result, or reduces the central claim to a self-citation chain. The argument is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

No free parameters are claimed. The ledger contains only standard mathematical background for elasticity and domain-level modeling assumptions about clathrin assembly. No new physical entities are introduced.

axioms (2)
  • standard math Standard assumptions of non-Euclidean elasticity theory hold for the growing clathrin lattice.
    Invoked to derive growth laws and internal variables.
  • domain assumption The chosen kinetic Monte Carlo rules for triskelion addition and curvature coupling are a faithful representation of molecular behavior.
    Foundational to the hybrid model and the emergence of effective rigidity.

pith-pipeline@v0.9.1-grok · 5775 in / 1488 out tokens · 67017 ms · 2026-06-30T03:08:01.188043+00:00 · methodology

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