MERGE-RNA: a physics-based model to predict RNA secondary structure ensembles with chemical probing
Pith reviewed 2026-05-21 15:34 UTC · model grok-4.3
The pith
MERGE-RNA predicts RNA structural ensembles by modeling the physics of the DMS probing pipeline and adjusting thermodynamic populations with maximum entropy.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
MERGE-RNA describes RNA as a thermodynamic ensemble whose populations are reweighted by the maximum-entropy principle after explicit modeling of the DMS probing physics, allowing data from multiple molecules and conditions to be integrated through a shared set of interpretable parameters to produce ensembles that align with experimental observations.
What carries the argument
Physics-based simulation of the chemical probing experimental pipeline combined with maximum-entropy reweighting of thermodynamic populations using a small set of transferable parameters.
If this is right
- Structural accuracy surpasses that obtained from standard pseudo-free-energy methods.
- Predicted ensembles reproduce measured DMS reactivity patterns more closely than previous approaches.
- Application to the adenine riboswitch recovers the NMR-resolved conformations together with their ligand-induced population shifts.
- The magnitude of the population shifts matches the dissociation constant obtained from NMR titration experiments.
- In designed RNAs the model identifies transient intermediate populations during strand displacement that remain invisible to conventional single-structure analysis.
Where Pith is reading between the lines
- The same parameter-sharing strategy could be applied to data from other probing reagents to obtain tighter ensemble constraints.
- Transferable parameters may enable useful ensemble predictions even for RNAs that have only sparse probing coverage.
- Ensemble outputs of this form could be combined with cellular-environment data to explore how RNA function depends on conformational dynamics inside cells.
Load-bearing premise
A small set of parameters learned from the probing physics can be optimized across different molecules, probe concentrations, and replicates without introducing molecule-specific biases that distort the ensemble predictions.
What would settle it
Apply the jointly optimized parameters to an independent collection of RNAs whose conformational populations have been measured by NMR or single-molecule experiments and test whether the predicted populations and reactivities fall within experimental error of the observed values.
Figures
read the original abstract
RNA function is tied to secondary structure, operating through dynamic and heterogeneous structural ensembles. While current analysis tools typically output single static structures or averaged contact maps, chemical probing methods like DMS capture nucleotide-resolution signals representing the full structural ensemble, which remain difficult to interpret structurally. To address this, we present MERGE-RNA, a framework that describes and outputs RNA as a structural ensemble. By modeling the physics of the experimental pipeline, MERGE-RNA learns a small set of transferable and interpretable parameters, enabling the integration of measurements across different molecules, probe concentrations, and replicates in a single optimization to improve robustness. Our model employs a maximum-entropy principle to predict thermodynamic populations, with the minimal adjustments necessary to align the ensemble with experimental data. We validate MERGE-RNA on diverse RNAs, showing that it achieves structural accuracy surpassing standard pseudo-free-energy methods and yields ensembles better recapitulating measured DMS reactivity. Applied to the V. vulnificus adenine riboswitch, MERGE-RNA recovers the NMR-resolved conformations and their ligand-induced rearrangement, with population shifts matching the NMR-derived K_d. In a designed RNA construct for which we report new DMS data, MERGE-RNA deconvolves mixed states to reveal transient intermediate populations involved in strand displacement, dynamics invisible to traditional analysis methods.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript presents MERGE-RNA, a physics-based model for predicting RNA secondary structure ensembles that incorporates chemical probing data such as DMS. It models the experimental pipeline to learn a small set of transferable parameters and uses a maximum-entropy principle to make minimal adjustments to thermodynamic populations to align with experimental measurements. The paper validates the model on diverse RNAs, claiming superior structural accuracy compared to standard pseudo-free-energy methods, better recapitulation of DMS reactivity, and successful recovery of NMR-resolved conformations and ligand-induced population shifts in the V. vulnificus adenine riboswitch, as well as deconvolution of mixed states in a designed RNA construct using new DMS data.
Significance. If the small set of parameters is truly transferable and the model provides unbiased ensemble predictions, this work could significantly improve the interpretation of chemical probing data for RNA dynamics and function. The ability to integrate data across molecules and conditions in a single optimization is a strength, and the recovery of NMR populations in the riboswitch example suggests practical utility for studying conformational changes. The reporting of new DMS data on a designed construct is a positive contribution to the field.
major comments (2)
- [Methods (parameter learning and max-ent procedure)] The central claim of transferable parameters learned from the physics of the DMS pipeline (Abstract) rests on a joint optimization whose derivation, regularization, and cross-validation across molecules are not visible. Without these details it is impossible to assess whether the reported gains over pseudo-free-energy methods arise from the physics-based construction or from molecule-specific absorption of systematic errors in the base thermodynamic model.
- [Results (V. vulnificus adenine riboswitch)] In the riboswitch application (Results), the max-ent adjustment is constructed to minimize deviation from the same DMS data used to judge success. This construction makes the reported recovery of NMR populations and K_d-matching shifts circular by design unless an explicit separation between base-model error and experimental correction is demonstrated (e.g., via held-out replicates or orthogonal observables).
minor comments (2)
- [Abstract] The abstract refers to validation on 'diverse RNAs' without listing the specific molecules or providing a summary table of accuracy metrics; adding this would aid reproducibility.
- [Figures and Methods] Figure legends and methods should explicitly state how uncertainty in the fitted parameters propagates into the reported ensemble populations and population shifts.
Simulated Author's Rebuttal
We thank the referee for their constructive and detailed comments, which have helped us improve the clarity and rigor of the manuscript. We address each major comment below and have revised the Methods and Results sections accordingly to provide the requested details on the optimization procedure and validation strategy.
read point-by-point responses
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Referee: [Methods (parameter learning and max-ent procedure)] The central claim of transferable parameters learned from the physics of the DMS pipeline (Abstract) rests on a joint optimization whose derivation, regularization, and cross-validation across molecules are not visible. Without these details it is impossible to assess whether the reported gains over pseudo-free-energy methods arise from the physics-based construction or from molecule-specific absorption of systematic errors in the base thermodynamic model.
Authors: We agree that additional transparency is needed. The joint optimization is derived in the Methods section by combining the maximum-entropy objective with a forward model of the DMS experimental pipeline (including probe concentration, adduct formation, and reverse transcription). To address visibility, we have expanded the Methods with a new subsection containing the full derivation of the objective function, the L2 regularization on parameter deviations from initial values (to enforce transferability), and the explicit cross-validation protocol (leave-one-molecule-out). Results are now reported in Supplementary Figure S1 and Table S2, demonstrating that parameters remain stable across held-out molecules and that performance gains persist on unseen data. This indicates the improvements arise from the physics-based pipeline modeling rather than molecule-specific error absorption. revision: yes
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Referee: [Results (V. vulnificus adenine riboswitch)] In the riboswitch application (Results), the max-ent adjustment is constructed to minimize deviation from the same DMS data used to judge success. This construction makes the reported recovery of NMR populations and K_d-matching shifts circular by design unless an explicit separation between base-model error and experimental correction is demonstrated (e.g., via held-out replicates or orthogonal observables).
Authors: We appreciate this concern about potential circularity. The max-ent step applies minimal adjustments to the base thermodynamic ensemble to match DMS reactivity, while NMR populations and ligand K_d values serve as fully independent validation targets not included in the optimization. In the revision, we have added an explicit comparison showing that the unadjusted base model fails to recover the NMR populations, while the DMS-informed max-ent ensemble succeeds with small adjustment magnitudes (quantified via the relative entropy term). We further include a replicate-split analysis (training on one DMS replicate set, evaluating on the held-out replicate) demonstrating that the recovered population shifts and K_d agreement remain consistent. These additions establish the separation between base-model correction and the orthogonal NMR observable. revision: yes
Circularity Check
Maximum-entropy adjustment to DMS data makes ensemble recapitulation circular by construction
specific steps
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fitted input called prediction
[Abstract / Model description]
"Our model employs a maximum-entropy principle to predict thermodynamic populations, with the minimal adjustments necessary to align the ensemble with experimental data."
The max-ent construction is explicitly defined to minimize deviation from the experimental DMS data. Consequently the reported ensemble populations and their 'better recapitulation' of the measured reactivity are the direct result of fitting the identical data used to judge success.
full rationale
The core derivation employs max-ent to produce populations via minimal adjustments that align the ensemble with the same experimental DMS measurements later used for validation. This reduces the 'better recapitulating measured DMS reactivity' claim to a fitted output rather than an independent test. Transferability of the small parameter set and the separate NMR comparison on the riboswitch supply non-circular content, so the circularity is partial rather than total. No self-citation chains, uniqueness theorems, or ansatz smuggling appear in the provided text.
Axiom & Free-Parameter Ledger
free parameters (1)
- small set of transferable parameters
axioms (1)
- domain assumption Maximum-entropy principle yields the thermodynamic populations with minimal adjustments needed to match data
Lean theorems connected to this paper
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
Our model employs a maximum-entropy principle to predict thermodynamic populations, with the minimal adjustments necessary to align the ensemble with experimental data... sequence-specific soft constraints (λ_i) ... ΔFopt(s) = Σ λ_i for paired nucleotides.
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IndisputableMonolith/Foundation/ArithmeticFromLogic.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
The corrected free energy ... F(s) = F0(s) + Σ λ_i + ΔF[DMS](s) ... from which we compute the population ... via the partition function.
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
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index from the reference sequence usingbowtie2-build and produced the companion FASTA index withsamtools faidx[29]. Reads were aligned to the indexed reference withrf-map -cq5 20 -cqo -mp ’--very-sensitive-local’ -b2 -bi ../{ref fasta} index, where{ref fasta} indexare the files produced bybowtie2-build. The resulting BAM files were coordinate sorted and i...
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