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Determining the Role of Electrostatics in the Making and Breaking of the Caprin1-ATP Nanocondensate

T0 review · 3 major / 6 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read ATP flips Caprin1's surface charge to build a stable nanocondensate: a solid ATP core, a negative zeta potential near -110 mV, and dissolution at higher ATP.

desk verdict Core-shell Caprin1-ATP nanocondensate is a fresh structural idea, but the zeta-potential estimate rests on a slip-plane cut that sits inside the droplet, not at its hydrodynamic surface. read the letter →

arxiv 2412.14990 v2 pith:SGTM4DCB submitted 2024-12-19 physics.bio-ph

Maria Tsanai , Teresa Head-Gordon This is my paper · ORCID
classification physics.bio-ph
keywords Caprin1ATPliquid-liquidphaseseparationnanocondensatezetapotentialnear-surfaceelectrostaticcoarse-grainedmoleculardynamicsNS-ESP
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

Using coarse-grained simulations with all-atom back-mapping, the paper traces the ATP-driven phase behavior of the Caprin1 low-complexity domain through three states: a mixed state at low ATP, a 15-20 nm nanocondensate at about 10 mM ATP, and a reentrant mixed state at 100 mM ATP. It claims the condensate is an organized assembly rather than a uniformly mixed droplet: a solid-like core of ATP molecules stacked by pi-pi interactions and sodium counterions, coated by Caprin1 chains whose N-terminal arginine-rich region faces the ATP core. The central quantitative claim is electrostatic: the near-surface electrostatic potential (NS-ESP) of Caprin1 is positive (10-40 mV) in the initial mixed state, matching NMR paramagnetic relaxation enhancement experiments, but becomes highly negative at the condensate surface, corresponding to a Stern double layer and a zeta potential near -110 mV. This large negative zeta potential is offered as the explanation for the nanocondensate's stability against coalescence, by analogy to stable oil-in-water emulsions; raising ATP to 100 mM weakens the electrostatic anchoring and lowers the zeta potential to about -25 mV, coincident with dissolution. If correct, the picture makes ATP a dual agent in the same system, both scaffolding the droplet and, at higher concentration, dissolving it, and it gives a testable surface-electrostatics explanation for why nanometer-scale condensates resist fusion.

What carries the argument

The argument is carried by the near-surface electrostatic potential (NS-ESP), a per-residue quantity computed from back-mapped all-atom configurations by placing probe grid points around the backbone 1H nuclei and evaluating the electrostatic energy difference between positive and negative probes (Eq. (1) of the paper). To convert NS-ESP into a stability statement, the paper uses an oil-in-water emulsion analogy: the ATP core plus the adsorbed Caprin1 N-terminus form a Stern layer, the C-terminus contributes immobile charge inside the slip plane, and the zeta potential is estimated by placing ESP grid points 30-40 Å from the condensate's center of mass, outside the region of immobilized charge. That placement, together with the sign and magnitude of the ATP/Caprin1 charge layers, produces the quoted zeta potentials.

What would settle it

Measure the electrophoretic mobility of 15-20 nm Caprin1-ATP droplets at 10 mM ATP and convert it to a zeta potential; a measured value far above -110 mV, or a positive value, would contradict the claimed electrostatic stabilization, as would an equivalent simulation in which a different slip-plane placement yields a near-zero potential.

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Extended reading notes

Core claim

The central discovery is that ATP does not merely trigger Caprin1 condensation; it organizes the condensate's charge. In the simulated nanocondensate, ATP molecules assemble into a dense inner core through pi-pi stacking of adenine groups, with sodium counterions bridging the triphosphate groups, and the positively charged N-terminal half of Caprin1 adsorbs onto this core while the C-terminus extends toward water. Back-mapping these coarse-grained structures to all-atom resolution, the paper computes per-residue near-surface electrostatic potentials. In the low-ATP mixed state these are positive and match the NMR-PRE measurements; in the condensate they become negative by hundreds of millivolts, so that the assembly resembles a charged double layer. Estimating the potential just outside the immobile charge region gives a zeta potential of about -110 mV at 10 mM ATP, a value the paper associates with emulsion stability, and about -25 mV after dissolution at 100 mM ATP.

Load-bearing premise

The stability claim rests on treating the nanocondensate like an oil droplet in water and on assuming that the relevant electric potential is measured just outside the layer of tightly bound charge, at 30-40 Å from the droplet's center; if that assumed measuring distance is wrong, or if the oil-droplet comparison fails at the nanometer scale, the -110 mV value and the stability conclusion do not follow.

Editorial extensions

If this is right

  • At low ATP concentrations below about 5 mM, Caprin1 remains mixed and its surface NS-ESP stays positive (10-40 mV), consistent with the NMR-PRE experiments.
  • At moderate ATP concentrations around 10 mM, ATP self-assembles into a solid-like pi-stacked core with sodium counterions, and the resulting droplet is surface-dominated, with the N-terminal arginine-rich region of Caprin1 bound to the ATP core and the C-terminus facing water.
  • The condensate's charge organization is equivalent to a Stern double layer, giving an estimated zeta potential of about -110 mV, a value associated with stable emulsions and resistance to coalescence.
  • At 100 mM ATP, Caprin1-ATP interactions shift to weaker cation-pi and pi-pi contacts, the NS-ESP and zeta potential drop to about -25 mV, and the droplet dissolves back into a mixed state.
  • The same ATP molecule thus acts as both scaffold and hydrotrope: it stabilizes the nanodroplet at moderate concentrations and dissolves it at high concentrations.

Reading between the lines

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

  • Beyond the paper's stated conclusions, the oil-in-water analogy makes a direct electrophoretic prediction: the 15-20 nm condensate should migrate as a negatively charged colloid in an applied field, and measuring that mobility would test the -110 mV estimate without relying on the chosen slip-plane position.
  • The surface-dominated architecture implies that for nanoscale condensates, stability may be set by the interfacial charge layer rather than by bulk protein composition, which would connect these droplets to RNA- or polyphosphate-stabilized nanocondensates and to size-dependent differences in condensate behavior.
  • The paper itself notes that force-field limitations could inflate the magnitude of its zeta potential relative to micron-scale condensates; a systematic scan of slip-plane distance, or an explicit electrokinetic simulation, would show how sensitive the stability conclusion is to that modeling choice.
  • If the ATP-rich core is genuinely solid-like, the droplet should show slowed internal exchange of ATP and reduced fluidity on nanometer scales, a testable signature for fluorescence recovery or NMR experiments on small condensates.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 6 minor

Summary. The paper presents multiscale coarse-grained (Martini 3) molecular dynamics simulations, with back-mapping to all-atom resolution, of the C-terminal low-complexity domain of Caprin1 (103 residues) mixed with ATP at concentrations from 0 to 100 mM. The simulations show that at around 10 mM ATP the 10 Caprin1 chains spontaneously assemble into a 15-20 nm spherical condensate with an ATP-rich core (stabilized by pi-pi stacking and sodium counterions) and a protein shell enriched in the N-terminal arginine-rich region, while at 100 mM ATP the condensate dissolves into a mixed state. Using back-mapped structures, the authors compute per-residue near-surface electrostatic potentials (NS-ESP) and compare them with NMR-PRE data from Toyama et al. for the early mixed state. They then estimate a zeta potential for the condensate by evaluating the electrostatic potential at grid points 30-40 Å from the condensate's center of mass, obtaining about -110 mV at 10 mM ATP and about -25 mV at 100 mM ATP, which they interpret as evidence that the nanodroplet is electrostatically stabilized in a manner analogous to an oil-in-water emulsion.

Significance. If the central claims were fully supported, the paper would provide a valuable molecular picture of ATP-mediated condensation and reentrant dissolution of a disordered protein, with a concrete mechanism (an ATP-rich core, a protein shell, and a strong interfacial electrostatic potential) that could explain the stability of nanoscale condensates. The study is technically ambitious: it combines Martini 3 CG-MD, all-atom back-mapping, and NS-ESP calculations, and it includes a control simulation showing that ATP alone does not form oligomers at the relevant concentrations, which is a useful check on force-field artifacts. The qualitative findings on the core-shell organization and the role of N-terminal arginine-rich contacts are plausible and consistent with existing experimental data. However, the quantitative electrostatic claims are weakened by two post-hoc calibrations (ATP charge set to -3e and an NS-ESP scaling factor of 1.8 chosen to match the mixed-state experiments) and by an unvalidated and geometrically questionable definition of the zeta potential.

major comments (3)
  1. [§3, Fig. 4A and Methods (Electrostatic potential calculations)] The reported 'excellent agreement' between the computed mixed-state NS-ESP and the NMR-PRE data is not an independent validation. The Methods state that the ATP charge was set to -3e and all computed NS-ESP values were scaled down by a factor of 1.8 'to ensure consistency with the experimental conditions reported by Toyama et al.' These are free parameters chosen so that the calculation matches the experimental magnitude. Consequently, the agreement in Fig. 4A is partly constructed by construction, and the paper's subsequent use of this agreement to lend credibility to the condensate predictions (which are not directly compared to experiment) is overstated. The authors should clearly label the procedure as a calibration rather than a prediction, and discuss how the conclusions would change if the scaling factor or charge state were varied within a reasonable range.
  2. [§3, Fig. 5D-E and Discussion] The zeta potential estimate is geometrically inconsistent with the stated condensate size. The droplet is 15-20 nm in diameter (radius ~75-100 Å), yet the slip plane is represented by grid points placed only 30-40 Å from the condensate's center of mass. This location lies inside the region occupied by the ATP core and the protein shell, as the density profiles in Fig. 2D indicate; it is not outside the immobilized charge layer. The physical slip plane is a hydrodynamic shear surface, and no calculation or simulation is provided to identify its location. As a result, the potential at 30-40 Å is an interior or Stern-layer potential, not a zeta potential, and the claimed -110 mV value does not support the conclusion that the nanodroplet behaves like a stable oil emulsion. To make this claim, the authors would need to determine the slip plane from the electrokinetic problem or from an explicit electrophoresis simulation, or they should reframe the result as an internal potential and remove the emulsion-stability interpretation.
  3. [§3, Fig. 4B-C and Discussion] The negative NS-ESP values for the condensate and the associated zeta potential are simulation-only predictions. The paper correctly notes that the NMR-PRE experiments for the condensed state were performed on fused micron-scale droplets that are not representative of the nanodroplet studied here. However, the abstract and discussion present the -110 mV zeta potential as if it were an experimentally validated stability mechanism. The text should explicitly state that, unlike the mixed state, the condensate electrostatics have not been benchmarked against any experimental measurement, and that the stability conclusion is a prediction of the model rather than an established finding.
minor comments (6)
  1. [Abstract] The phrase 'the the nanodroplet formation' contains a duplicated article; it should read 'the nanodroplet formation.'
  2. [Introduction] The word 'determinig' should be 'determining'.
  3. [Methods (Electrostatic potential calculations)] The text refers to 'Eq. (1)' but the equation is first defined only later in the Results section; please introduce and number the equation in the Methods, or use a consistent numbering scheme throughout.
  4. [Fig. 5C] The cartoon reproduced from ref. [75] labels the Stern layer and slip plane, but the schematic is not drawn to the scale of the simulated condensate; the placement of the 30-40 Å grid points relative to this cartoon is unclear. A scale bar or a side-by-side density profile labeled with the same radial coordinates would help the reader see the claimed correspondence.
  5. [Results (Condensation and dissolution)] The CAPRIN1-CAPRIN1 RDFs and density profiles appear to be computed from a single 30 µs trajectory per concentration. Since condensation is a stochastic process, reporting results from multiple independent simulations (or at least stating that the findings are reproducible) would strengthen the statistical basis of the structural conclusions.
  6. [Discussion and Conclusion] The phrase 'it seems to us that analogies to oil-in-water emulsions... is a fruitful line of investigation' is tentative, which is appropriate, but the later statement that the -110 mV value is 'commensurate with a stable oil emulsion' presents the analogy as quantitative. Please soften the language to reflect that this is a hypothesis that requires direct experimental measurement of nanodroplet zeta potentials.

Circularity Check

1 steps flagged · score 6.0 of 10

Mixed-state NS-ESP 'excellent agreement' is magnitude-calibrated by the 1.8 scaling factor and an adjusted ATP charge, so part of the validation is constructed; the condensate zeta prediction is an extrapolation but rests on an unvalidated slip-plane assumption.

  1. fitted input called prediction [Methods, 'Electrostatic potential calculations'; Fig. 4 caption; Results, 'Electrostatic potentials of Caprin1 as a function ATP concentration'.]
    "To ensure consistency with the experimental conditions reported by Toyama et al., the charge of the Mg+2-free ATP molecules was set to −3e 34 and the NS-ESP values were scaled down by a factor of 1.8. ... results that are in excellent agreement with the experimental values34."

    The mixed-state NS-ESP plotted in Fig. 4A is the same quantity that is globally rescaled by 1.8 and recomputed with a −3e ATP charge (whereas the CG model itself uses −4e ATP). The 'excellent agreement' in magnitude is therefore imposed by the calibration rather than independently predicted. The residue-specific pattern may still be informative, but the paper uses this calibrated agreement as 'an important validation ... permitting us to predict the NS-ESP of the small ... condensate,' so the validation step is partly circular.

full rationale

The paper's central new predictions—the negative NS-ESP of the 10 mM ATP nanocondensate and the zeta-potential change from about -110 mV to -25 mV on dissolution—are genuine simulation extrapolations that are not fitted to nanodroplet experiments; the NMR-PRE condensate data were taken on fused micron-scale droplets, as the paper acknowledges. This tempers the circularity. The main circular element is the mixed-state validation: a single global scaling factor (1.8) and a charge adjustment (-3e instead of the -4e used in the CG simulations) are applied to the NS-ESP calculation, and the resulting magnitude is then reported as 'excellent agreement' with the experimental NS-ESP used to define those conditions. The residue-specific variation is not forced by a single scaling factor, but the claimed level of agreement is. The zeta-potential estimate is not a fitted parameter but depends on an unvalidated 30-40 Å slip-plane placement; that is a robustness/correctness concern rather than a circular reduction. Overall, one 'prediction' (mixed-state NS-ESP magnitude) reduces partly by construction, while the central condensate-stability claim retains independent content, giving partial circularity.

Assumptions & free parameters 3 free parameters · 6 assumptions · 0 invented entities

The central quantitative conclusions rest on three classes of assumptions: (i) calibrated electrostatic parameters: the ATP charge is set to -3e and all NS-ESP values are scaled by 1.8 to match the experimental buffer conditions, which means the mixed-state 'agreement' with experiment is partly constructed; (ii) modeling analogies: the emulsion/Stern-layer/slip-plane picture is imported from colloid science without independent validation at this length scale, and the zeta potential depends on the chosen grid-point placement; and (iii) sampling assumptions: phase behavior and ESP values are taken from single 30 µs trajectories with no replicates or error bars. No new entities are introduced.

free parameters (3)
  • NS-ESP scaling factor = 1.8
    All computed NS-ESP values are divided by 1.8 to account for the experimental buffer; the magnitude of the mixed-state NS-ESP agreement is therefore calibrated to the experiment it claims to predict.
  • ATP charge in ESP calculation = -3e
    The Mg-free ATP charge is set to -3e instead of its physical -4e to match the experimental conditions of Toyama et al.; this directly changes the electrostatic contributions to the NS-ESP.
  • Slip-plane distance for zeta potential = 30-40 Å from condensate center of mass
    Grid points for the zeta potential estimate are placed 30-40 Å from the core (Fig. 5D); the resulting ~-110 mV and ~-25 mV values depend on this choice of where the immobilized charge layer ends.
assumptions (6)
  • domain assumption Martini 3.0 with the Thomasen et al. lambda=1.1 protein-water scaling is accurate enough to determine the phase boundary and condensate structure for Caprin1-ATP.
    The central phase behavior (condensation at 10 mM, not at 5 mM) rests on the CG force field and the adopted correction; no independent experimental validation of this specific force field for Caprin1-ATP is provided.
  • domain assumption Back-mapped all-atom structures from backward.py faithfully represent the CG configurations for electrostatic analysis.
    The NS-ESP values depend on atomic partial charges and coordinates from the back-mapping procedure; its reliability for this system is assumed rather than validated.
  • domain assumption The Yu et al. NS-ESP protocol with probe radius 3.5 Å and the 1.8 scaling factor is a valid proxy for the experimental NMR-PRE NS-ESP.
    The mixed-state comparison to experiment relies entirely on this protocol, and the scaling factor is applied post hoc, so the comparison is not parameter-free.
  • ad hoc to paper The Caprin1-ATP nanocondensate behaves like an oil-in-water emulsion with a well-defined Stern layer and slip plane.
    The zeta potential estimate and the stability explanation depend on this colloid-science analogy; the assignment of the N-terminus to the Stern layer and C-terminus to the slip plane is a modeling choice with no direct evidence.
  • domain assumption One 30 microsecond trajectory per ATP concentration is sufficient to determine whether the system condenses.
    No replicate simulations are reported; the 5 mM vs 10 mM boundary and the dissolution at 100 mM rest on single trajectories.
  • domain assumption Simulations with Mg-free ATP at -3e charge are comparable to the experimental ATP-Mg2+ systems.
    The paper compares with Toyama et al. which used ATP with Mg2+; the -3e charge is an ad hoc adjustment to mimic those conditions, and the equivalence is assumed.

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Cite this review

Pith. "Pith review of Determining the Role of Electrostatics in the Making and Breaking of the Caprin1-ATP Nanocondensate." pith.science (2026). https://pith.science/paper/SGTM4DCB

@misc{pith2026241214990,
  author       = {Pith},
  title        = {Pith review of: Determining the Role of Electrostatics in the Making and Breaking of the Caprin1-ATP Nanocondensate},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/SGTM4DCB}},
  note         = {Machine review of arXiv:2412.14990}
}
read the original abstract

We employ a multiscale computational approach to investigate the condensation process of the C-terminal low-complexity region of the Caprin1 protein as a function of increasing ATP concentration for three states: the initial mixed state, nanocondensate formation, and the dissolution of the droplet as it reenters the mixed state. We show that upon condensation ATP assembles via pi-pi interactions, resulting in the formation of a large cluster of stacked ATP molecules stabilized by sodium counterions. The surface of the ATP assembly interacts with the arginine-rich regions of the Caprin1 protein, particularly with its N-terminus, to promote the complete phase-separated droplet on a lengthscale of tens of nanometers. In order to understand droplet stability, we analyze the near-surface electrostatic potential (NS-ESP) of Caprin1 and estimate the zeta potential of the Caprin1-ATP assemblies. We predict a positive NS-ESP at the Caprin1 surface for low ATP concentrations that defines the early mixed state, in excellent agreement with the NS-ESP obtained from NMR experiments using paramagnetic resonance enhancement. By contrast, the NS-ESP of Caprin1 at the surface of the nanocondensate at moderate levels of ATP is highly negative compared to the mixed state, and estimates of a large zeta potential outside the highly dense region of charge further explains the remarkable stability of this phase separated droplet assembly. As ATP concentrations rise further, the strong electrostatic forces needed for nanocondensate stability are replaced by weaker Caprin1-ATP interactions that drive the reentry into the mixed state that exhibits a much lower zeta potential.

Figures

Figures reproduced from arXiv: 2412.14990 by the authors.

Figure 1
Figure 1. Coarse-grained representations of the molecules and Caprin1 sequence used in this work. (A) CG representation of the low-complexity C-terminal region of the Caprin1 protein (103 residues), with each type of residue shown in a different color. Mg+2-free ATP molecule is shown in gray, water in cyan and sodium counterions in yellow. (B) Amino-acid sequence of Caprin1 protein. The two arginine- and aromatic-rich regions… view at source ↗
Figure 2
Figure 2. ATP-dependent condensation and dissolution of Caprin1 proteins. (A) Caprin1-Caprin1 RDFs of the systems and a zoomed-in view showing the smaller distances and the peak at 1 nm. (B) Snapshots of the final configurations of the 30 µs simulations of 10 Caprin1 chains at different ATP concentrations; water is not shown for clarity. (C) A zoomed-in view of the condensate formed at the 10 mM ATP concentration. Each Caprin… view at source ↗
Figure 3
Figure 3. Contact analysis of Caprin1 with the condensate and reentrant state components. (A) Caprin1- ATP, (B) Caprin1-NA counterions, and (C) Caprin1-water contacts. The contact map between Caprin1- Caprin1 chains for (D) 10 mM ATP corresponding to the condensate and (E) 100 mM ATP corresponding to the reentrant state. The two arginine and aromatic rich regions are indicated in orange and pink, respectively. The frequency o… view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: NS-ESP calculations for Caprin1-ATP systems across increasing ATP concentrations. NS-ESP graphs for Caprin1 (A) in the early mixed state system with 0, 0.8 mM, and 5 mM ATP concentrations compared with experiments of Toyama et al. 34 B) the condensate system at 10 mM A…
Figure 5
Figure 5. Figure 5: Estimates of the zeta potential for Caprin1-ATP systems for making and breaking the condensate. (A) the condensate organizes its charge in a way that bears strong similarity to (B) an oil-in-water emulsion. (C) The NS-ESP we calculate for the condensate is an estimate …

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Pith tools

Reviewed August 11, 2026 · model on record in the stance chip above.