Probing the structural stability of R-phycocyanin under pressure

Annie Br\^ulet; Aur\'elien Thureau; Burkhard Annigh\"ofer; Luka Velickovic; Nikola Gligorijevic; Simeon Minic; Sophie Combet (LLB - UMR 12); Zorana Jovanovic

REVIEW 3 major objections 5 minor 3 references

Probing the structural stability of R-phycocyanin under pressure

T0 review · 3 major / 5 minor · reviewed 2026-08-12 · deepseek-v4-flash

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Pith's one-line read Pressure denatures R-phycocyanin in three phases, and release restores only half its colour.

desk verdict First in situ HP-SAXS/spectroscopy study of R-phycocyanin; the three-phase picture holds up in outline, with a symmetry-imposed modelling caveat and over-simplified thermodynamics. read the letter →

arxiv 2411.14948 v1 pith:M5BF22V6 submitted 2024-11-22 physics.bio-ph

Simeon Minic , Luka Velickovic , Burkhard Annighöfer , Aurélien Thureau , Nikola Gligorijevic , Zorana Jovanovic , Annie Brûlet , Sophie Combet (LLB - UMR 12) This is my paper · ORCID

classification physics.bio-ph

keywords R-phycocyaninhigh-pressureprocessingSAXSphycocyanobilinphycoerythrobilinproteinunfoldingfoodcolourantNori

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

This paper tries to show that pressure, unlike heat, denatures the food colourant R-phycocyanin through a stepwise, multiphase process while leaving room for partial recovery. Using in-situ X-ray scattering, absorption, and fluorescence up to 4,000 bar, it argues that the protein first compresses as a trimer, then dissociates above 1,600 bar, and finally unfolds above 3,000 bar. On decompression, the protein refolds only partially, recovering about 50% of its original colour absorbance, whereas heating at 60°C bleaches it almost completely. If correct, this gives the food industry a concrete pressure window in which Nori-derived colourants can be processed without the total colour loss caused by heat.

What carries the argument

The argument is carried by two complementary probes. First, the hollow-cylinder form factor and ab initio envelope reconstructions from the in-situ SAXS curves, computed with three-fold rotational symmetry (P3) up to 1,600 bar, track the trimer's compression, the shrinking of its central hole, and its subsequent dissociation into dimers and monomers. Second, the covalently bound tetrapyrrole chromophores phycocyanobilin and phycoerythrobilin act as built-in local pressure gauges: shifts in their absorption and fluorescence maxima report on weakening protein-chromophore contacts, oligomer dissociation, and unfolding. The pressure-dependence curves are fitted with a two-state transition equation to extract the apparent volume change, Gibbs free energy, and half-transition pressure.

What would settle it

Repeat the SAXS shape reconstruction at pressures between 1,200 and 1,600 bar with no symmetry imposed (P1) and compare the recovered envelope to the hollow-disc trimer; if the P1 envelope no longer shows a central hole and threefold arrangement, the paper's claim that trimers persist up to 1,600 bar is wrong.

Watch

Extended reading notes

Core claim

The central claim is that pressure-induced denaturation of R-PC is not a single two-state transition but a three-phase cascade. SAXS shows the trimer compresses and its central hole shrinks at pressures up to about 1,600 bar; between roughly 1,600 and 3,000 bar the trimer dissociates into dimers and then monomers; above 3,000 bar the monomers extend and partially unfold without fully separating the α and β chains. The two covalently bound chromophores, phycocyanobilin and phycoerythrobilin, track the same phases through changes in absorption and fluorescence intensity and peak position, with the PCB chromophore far more pressure-sensitive than PEB. After decompression from 4,000 bar, SAXS finds monomers and dimers instead of trimers, and circular dichroism shows an irreversible conversion of α-helix into β-sheet; nevertheless, the chromophores partly recover their signals, with about 50% of the original absorption and up to 74% of PEB fluorescence reappearing.

Load-bearing premise

The claim that R-PC stays trimeric up to 1,600 bar rests on shape reconstructions computed with three-fold symmetry imposed; if the particles had already begun dissociating, that constraint could manufacture a trimer-looking envelope.

Editorial extensions

If this is right

If the three-phase scheme is right, high-pressure processing up to about 1,600 bar should preserve R-PC's trimeric form and most of its colour, giving a practical pasteurisation window for Nori-based colourants.
Above 3,000 bar, subunit unfolding proceeds without full separation of α and β chains, so the protein retains a partly folded, non-native monomer that cannot reassemble into trimers on decompression.
Because decompression recovers roughly half the original absorbance but leaves monomers and dimers in place of trimers, formulations relying on R-PC colour may need to stay below 3,000 bar or add stabilisers.
The much higher pressure sensitivity of the PCB chromophore than PEB means colour loss in HP-treated R-PC will show up most strongly at the 617 nm absorption band, a straightforward quality-control metric.
The irreversible α-helix-to-β-sheet conversion after 4,000 bar shows that full native structure is not recovered even though absorption partially returns, so the pressurised protein is not a simple renatured native state.

Reading between the lines

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

A natural next test is to run the same SAXS shape reconstruction at 1,200–1,600 bar without imposing three-fold symmetry; if the recovered envelope no longer looks like a hollow disc with a trimeric arrangement, the claimed trimer-persistence phase boundary would need to be lowered.
Because the large cavity in the α subunit sits at the monomer-monomer interface near the PCB chromophore, filling that cavity with small food-derived ligands is a concrete way to try raising the dissociation pressure; the paper identifies this strategy but does not test it.
The limited colour recovery after decompression may stem from chromophore oxidation during pressurisation, implying that antioxidant additives or oxygen exclusion could improve recovery without changing the pressure protocol.
The opposite pressure responses of PEB and PCB suggest their Förster resonance energy transfer acts as a built-in distance ruler, so tracking FRET efficiency across pressure steps could quantify how far monomers separate before unfolding.

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Editorial analysis

A structured set of objections, weighed in public.

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

Desk Editor's Note

read the letter

I read this with some care because the stress-test note flagged the GASBOR P3 symmetry as load-bearing. Here's my take.

The paper is a solid experimental characterization of R-PC under pressure. Combining HP-SAXS with absorption and fluorescence on the same protein is a real step, and the correlation between the three probes is convincing: the 0.1 Å-1 Kratky peak (central hole) survives to ~1600-1800 bar, the hollow cylinder fits show a drop in length above 1600, Rg stays flat to ~2000 bar, and the chromophore spectra only start losing intensity above ~1600. That independent evidence makes the claimed trimer-to-dimer boundary plausible. The authors also did the hydration check on I(0) and showed it would require thousands of bound waters, so they didn't ignore that alternative. The cavity/salt-bridge rationalization from the crystal structure is reasonable, and the reversibility data — partial recovery to monomers/dimers rather than trimers — is a useful addition.

The soft spots are real but not fatal. The P3 symmetry imposed on GASBOR up to 1600 bar does undermine the ability of those models to prove the trimer persists. Calling the 1600 bar envelope 'triangular, which is unrealistic' is confusing, because under P3 threefold symmetry that's the only shape the program can produce; it's not an independent falsification. But because the hollow cylinder and Kratky evidence support the same boundary, I read this as a modelling oversight rather than a load-bearing flaw. Still, a P1-symmetry control up to 1600 bar is an easy fix and should be requested.

The thermodynamic parameters in Table 1 are a second concern. They come from fitting a single two-state transition to the absorption intensity curves, while the paper itself describes a multiphase process. The quoted P1/2 values (~2300-2450 bar) sit between the dissociation and unfolding boundaries, so they are apparent numbers mixing both steps. That's fine as long as they are labeled apparent, but the error bars (±1-5 units) convey a precision that the model doesn't justify.

Two smaller issues: no error bars on Rg, I(0), and cylinder parameters, and no deposition of raw SAXS data. Both are standard expectations now and should be fixed.

Who gets value from this? Anyone working on phycobiliprotein stability, high-pressure food processing, or protein oligomer dissociation studied by SAXS. It won't reshape a field, but it is a good mechanistic reference. I'd send it to peer review with requests for the P1 control, error propagation, and data deposition.

Referee Report

3 major / 5 minor

Summary. The manuscript reports an in-situ high-pressure (up to 4,000 bar) study of R-phycocyanin (R-PC) using small-angle X-ray scattering, visible absorption, and fluorescence spectroscopy, complemented by ex-situ circular dichroism. The central claim is that pressure-induced unfolding of R-PC is multiphase: low pressure (up to ~600 bar) compacts the trimer, pressures above ~1,600 bar dissociate trimers into dimers/monomers, pressures above ~3,000 bar unfold the subunits, and decompression from 4,000 bar leads only to partial refolding, with about 50% of the original absorption intensity recovered. The authors contrast this with irreversible thermal bleaching at 60°C. Thermodynamic parameters (ΔV, ΔG, P1/2) are extracted from single-transition fits of pressure-dependent absorption intensities. The paper also interprets the pressure sensitivity of the PCB chromophore in terms of a large cavity in the α subunit and nearby salt bridges.

Significance. If the multiphase mechanism is correct, the work provides a valuable demonstration of how combined HP-SAXS and HP-optical spectroscopies can resolve oligomer dissociation from subunit unfolding in phycobiliproteins, with direct relevance to pressure-based food processing. The paper has clear strengths: concordance among three independent probes, an explicit assessment of the hydration alternative for the I(0) decrease, an in-situ vs ex-situ comparison, and a structural interpretation grounded in the crystal structure. The main weakness is that the SAXS-based evidence for trimer persistence up to 1,600 bar relies on GASBOR ab initio models computed with imposed P3 symmetry, which presupposes the threefold architecture under test; this makes the 1,600-bar phase boundary partly circular. A P1-symmetry control or an alternative mixture-model analysis is needed to secure the central phase assignment.

major comments (3)

[Section 5.6, Fig. 4B, and Section 2.1] The GASBOR ab initio models for all pressures up to 1,600 bar are computed with P3 symmetry imposed, while P1 symmetry is used only above 1,600 bar. A P3-constrained dummy-residue model must return a threefold envelope regardless of whether the solution contains trimers, dimers, monomers, or an asymmetric mixture, especially with moderately noisy SAXS data. Therefore, the statement in Section 2.1 that the 1,600-bar model is 'triangular, which is unrealistic' is not an independent falsification of the trimer: under P3, a triangular envelope is the only allowed output. The claim that trimers persist to 1,600 bar is thus partly circular. Please run P1-symmetry GASBOR (or an explicit oligomer-mixture fit) over the 30-1,600 bar range and report whether the trimeric envelope persists without the symmetry constraint; if it does not, the first phase boundary and the 'compact trimer' interpretation need revision.
[Section 5.3, Eq. 2, and Table 1] The absorption intensity curves are fitted with a single two-state transition (Eq. 2) to extract ΔV, ΔG, and P1/2, even though the paper's central conclusion is that R-PC undergoes at least three distinct pressure-driven processes (compaction, dissociation, unfolding). The fitted parameters therefore average over multiple transitions and cannot be assigned to a specific molecular event. Consequently, the claim in Section 2.2 that similar parameters for PCB and PEB indicate 'that both subunits have similar pressure stability' is not justified by the fits. I recommend either a sequential multi-state fit with identifiable steps, or a clear statement that these are empirical apparent parameters for the overall spectral change, together with removal of the subunit-stability conclusion.
[Section 2.3 and Section 5.6] The molecular weight of ~51 kDa after depressurisation is stated to be derived from I(0) calculations, but Section 5.6 does not describe how I(0) was converted to an absolute molecular weight (e.g., through a standard, a known concentration and contrast, or comparison with the initial trimer's I(0) and known molecular weight). Without this calibration the monomer/dimer mixture claim cannot be evaluated quantitatively. Please add the calibration details or explicitly present the estimate as a relative comparison to the initial trimer.

minor comments (5)

[Throughout] Several typographical errors should be corrected, including 'CONFILCT OF INTEREST' as a heading and 'Winter at al.' and 'Royer at al.' in the text; these should read 'et al.'.
[Section 5.3, Eq. 1] Equation 1 is garbled in the submitted text, with non-ASCII symbols obscuring the formula. Please ensure the typeset version correctly renders the normalization by the absorption intensities at 1 bar, at pressure P, and at 4,000 bar.
[Section 5.6, Eq. 5] Equation 5, the hollow-cylinder radius of gyration, is not legible in the current text. Please ensure it is correctly typeset as (Ro^2 + Ri^2)/2 + l^2/12 (or the exact form used) so that the reported Rg values can be reproduced.
[Supplementary Material section] The text states that the Supplementary Material section includes six figures, but only three figures (S1, S2, S3) are listed. Please correct the count.
[Figure 7A legend] The legend uses 'R' without defining it; please spell out 'release' or 'after depressurization' to make the curves unambiguous.

Circularity Check

1 steps flagged · score 4.0 of 10

GASBOR is run under an imposed P3 symmetry up to 1,600 bar, so the claimed trimer preservation and the 'triangular, unrealistic' dissociation marker are outputs of the constraint rather than independent evidence; the central multiphase picture is nevertheless supported by other SAXS/spectroscopic indicators.

self definitional [Section 5.6 (HP-SAXS analysis) and Section 2.1, Fig. 4]
"P3 symmetry was used to perform ab initio GASBOR modeling of the SAXS curves up to 1,600 bar, while P1 symmetry was used for higher pressures. ... The obtained models confirm that the trimeric R-PC structure (Fig. 4A) is preserved up to 1,600 bar. ... Ab initio modelling demonstrates that R-PC at 1,600 bar has a triangular shape, which is unrealistic, indicating that the partial dissociation of trimers occurs at that pressure."

GASBOR was constrained to P3 (threefold rotational) symmetry for every pressure up to 1,600 bar, so the dummy-residue model is forced to be threefold symmetric by construction. A trimer-like envelope is therefore the expected output whether the particles are intact trimers, partially dissociated trimers, or a mixture of smaller species; the fit cannot represent asymmetric dissociation. Calling this output a confirmation that trimers are preserved, and interpreting the P3-enforced 'triangular' envelope at 1,600 bar as evidence of partial dissociation, reduces the inference to the input symmetry.

full rationale

The only substantive circular step is the P3-symmetry imposition in GASBOR. Because the model is defined with threefold symmetry, its 'confirmation' of a threefold trimer-like shape up to 1,600 bar is not independent, and the 'triangular, unrealistic' shape at 1,600 bar is the generic P3 output rather than a sign of dissociation. This weakens the specific 1,600 bar boundary as derived from GASBOR. However, the paper's central multiphase narrative does not rest solely on GASBOR: the Kratky two-peak pattern persists to 1,600-1,800 bar, Rg from Guinier is stable to about 2,000 bar, the hollow-cylinder fits track compression and subsequent length loss, I(0) shows a steep drop above 2,000 bar, and the 30-bar trimeric assignment is independently checked by CRYSOL against PDB 1F99. The absorption and fluorescence transition curves are fitted thermodynamic descriptions, not predictions made from fitted inputs, and the reversibility results are direct measurements. Self-citations (e.g., Velickovic et al. 2023 for R-PC trimer state and thermal lability) are not load-bearing because the trimer state is independently verified at 30 bar and the thermal-lability statement is background. No uniqueness theorem or ansatz is smuggled in via citation. The circularity is therefore partial and localized: it affects one piece of evidence for the trimer-persistence phase boundary, but the overall multiphase dissociation/unfolding and partial-refolding conclusions have substantial independent content. Score 4 reflects a real but non-decisive circular modeling constraint.

Assumptions & free parameters 7 free parameters · 3 assumptions · 0 invented entities

The central claims rest on a small number of fitted thermodynamic parameters (ΔV, ΔG, P1/2) and on SAXS model assumptions, most notably the imposed P3 symmetry and the hollow cylinder approximation. No new physical entities are introduced.

free parameters (7)

Apparent volume change for PCB dissociation/unfolding (ΔV) = -92 ± 1 mL/mol
Fitted from the pressure dependence of PCB absorption intensity using Eq. 2 (two-state model).
Apparent volume change for PEB dissociation/unfolding (ΔV) = -84 ± 1 mL/mol
Fitted from the pressure dependence of PEB absorption intensity using Eq. 2.
Half-transition pressure for PCB (P1/2) = 2,330 ± 3 bar
Fitted from the PCB absorption transition curve.
Half-transition pressure for PEB (P1/2) = 2,450 ± 5 bar
Fitted from the PEB absorption transition curve.
Gibbs free energy change at 0.1 MPa for PCB (ΔG) = 21.4 ± 0.2 kJ/mol
Derived from the fit of Eq. 2 to PCB data.
Gibbs free energy change at 0.1 MPa for PEB (ΔG) = 20.5 ± 0.3 kJ/mol
Derived from the fit of Eq. 2 to PEB data.
Hollow cylinder model parameters at each pressure (length, inner radius, thickness) = varies with pressure; e.g., length decreases ~30% up to 600 bar
Obtained by fitting SAXS curves with a hollow cylinder form factor in SasView; used to infer trimer compression and dissociation.

assumptions (3)

domain assumption The pressure-induced change in chromophore absorption intensity follows a single two-state transition (Eq. 2), allowing extraction of ΔV and ΔG.
Invoked in Section 5.3 and Table 1; this is a simplification given the paper's own multiphase mechanism.
ad hoc to paper GASBOR ab initio models with imposed P3 symmetry correctly represent the trimeric R-PC structure up to 1,600 bar.
Section 5.6: P3 symmetry is applied for pressures up to 1,600 bar; this imposes the very trimeric symmetry that the paper is testing.
domain assumption The crystal structure PDB:1F99 accurately represents the solution conformation of trimeric R-PC at 30 bar.
Used in CRYSOL fitting (Fig. 1C) and as the reference for GASBOR comparisons; if the solution structure differs, the 'native' baseline is mis-calibrated.

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Cite this review

Pith. "Pith review of Probing the structural stability of R-phycocyanin under pressure." pith.science (2026). https://pith.science/paper/M5BF22V6

@misc{pith2026241114948,
  author       = {Pith},
  title        = {Pith review of: Probing the structural stability of R-phycocyanin under pressure},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/M5BF22V6}},
  note         = {Machine review of arXiv:2411.14948}
}

read the original abstract

The red macroalgae Porphyra, commonly known as Nori, is widely used as food around the world due to its high nutrient content, including the significant abundance of coloured phycobiliproteins (PBPs). Among these, R-phycocyanin (R-PC) stands out for its vibrant purple colour and numerous bioactive properties, making it a valuable protein for the food industry. However, R-PC's limited thermal stability necessitates alternative processing methods to preserve its colour and bioactive properties. Our study aimed to investigate the in-situ stability of oligomeric R-PC under high pressure (HP) conditions (up to 4,000 bar) using a combination of absorption, fluorescence, and small-angle X-ray scattering (SAXS) techniques. The unfolding of R-PC is a multiphase process. Initially, low pressure induces conformational changes in the R-PC oligomeric form (trimers). As pressure increases above 1,600 bar, these trimers dissociate into monomers, and at pressures above 3,000 bar, the subunits begin to unfold. When returned to atmospheric pressure, R-PC partially refolds, retaining 50% of its original colour absorbance. In contrast, heat treatment causes irreversible and detrimental effects on R-PC colour, highlighting the advantages of HP treatment in preserving both the colour and bioactive properties of R-PC compared to heat treatment. SIGNIFICANCE: HP is a powerful probe that reveals intermediate states of proteins through subtle structural changes not accessible by other denaturation methods. By combining HP-small-angle-Xray scattering with HP-absorption and fluorescence spectroscopy, we elucidate the multiphase unfolding process of R-phycocyanin. This process includes: 1) conformational changes, 2) oligomer dissociation at moderate pressures, and 3) monomer unfolding. Our approach provides new opportunities for the structural determination of protein intermediates and oligomers using HP.

Figures

Figures reproduced from arXiv: 2411.14948 by the authors.

**Figure 1.** Comparison of (A) the crystal structure (PDB:1F99) and (B) ab initio GASBOR (ATSAS) model of trimeric R-PC. (C) Superposition of the experimental SAXS curve of R-PC at 5 mg/mL and 30 bar, pH 5.7 (black squares) and of the theoretical SAXS curve of R-PC crystal structure calculated by CRYSOL software (ATSAS, red line) [PITH_FULL_IMAGE:figures/full_fig_p035_1.png] view at source ↗

**Figure 2.** (A) In situ HP-SAXS intensities of R-PC solution (5 mg/mL, pH 5.7) at different pressures from 30 to 4,000 bar (3-400 MPa). (B) The same data shown in the Kratky representation Q2 I(Q) versus Q. Evolution of (C) I(0) and (D) Rg as a function of increasing pressure [PITH_FULL_IMAGE:figures/full_fig_p036_2.png] view at source ↗

**Figure 3.** Pressure dependence of parameters of the hollow cylinder model: (A) length (black) and total radius (blue) and (B) inner radius (i.e. radius of the cylinder central hole, green) and thickness (red), obtained by fitting HP-SAXS data of R-PC solution (5 mg/mL, pH 5.7) under pressure [PITH_FULL_IMAGE:figures/full_fig_p037_3.png] view at source ↗

Figures from the paper (4 more)

**Figure 4.** Figure 4: (A) The ribbon model of the crystal structure of R-PC (PDB:1F99), presented in different oligomerisation states. The R-PC subunits, α and β, are presented in blue and red, respectively. (B) [PITH_FULL_IMAGE:figures/full_fig_p038_4.png]

**Figure 5.** Figure 5: (A) Effect of HP on the VIS absorption spectra of R-PC. R-PC dissociation/unfolding curves were obtained by plotting the pressure dependence of normalised absorption intensities (i.e. percentage of transition) for (B) PCB (intensity at the peak at ~617 nm) and (C) PEB …

**Figure 6.** Figure 6: Effect of HP on the fluorescence emission spectra of (A) PCB and (D) PEB chromophores in R-PC, obtained by excitation at 590 and 488 nm, respectively. Pressure dependence of (B) PCB and (E) PEB fluorescence intensity. Effect of the pressure increase on the shift of the…

**Figure 8.** Figure 8: (A) The ribbon model of the crystal structure of R-PC (PDB:1F99), visualised using PyMOL software. The cavities are shown in grey, while the R-PC subunits, α and β, are coloured in blue and red, respectively. Subunits with the same subscript number belong to the same α…

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Works this paper leans on

3 extracted references · 3 canonical work pages

[1]

INTRODUCTION Alternative proteins from algae represent sustainable and promising solutions to replace proteins from animal origin, resulting in positive environmental and health impacts (Geada et al. 2021). Red algae Porphyra, commonly called Nori, is rich in proteins and has high annual production (millions of tons), making it a promising alternative pro...

work page 2021
[2]

1C and 2A)

RESULTS 2.1 Structural changes of R-PC under HP probed by SAXS SAXS spectra (I(Q))of R-PC at pH 5.7 and near atmospheric pressure (30 bar) have a characteristic shape with a pronounced shoulder at Q = 0.1 Å-1 (Figs. 1C and 2A). The Kratky representation (Q2 I(Q) versus Q), which is a valuable indicator of the protein folding state, reveals the presence of...

work page 2023
[3]

conformational drift

DISCUSSION For the first time, we investigated R-PC in situ pressure structural stability by combining SAXS and optical spectroscopies. We discovered the complex behaviour of R-PC under HP: increasing pressure induces conformational changes in the R-PC trimeric structure, followed by trimer dissociation and subunits unfolding. Subsequent pressure release ...

work page 2018

Pith tools

Reviewed August 12, 2026 · model on record in the stance chip above.

[1] [1]

INTRODUCTION Alternative proteins from algae represent sustainable and promising solutions to replace proteins from animal origin, resulting in positive environmental and health impacts (Geada et al. 2021). Red algae Porphyra, commonly called Nori, is rich in proteins and has high annual production (millions of tons), making it a promising alternative pro...

work page 2021

[2] [2]

1C and 2A)

RESULTS 2.1 Structural changes of R-PC under HP probed by SAXS SAXS spectra (I(Q))of R-PC at pH 5.7 and near atmospheric pressure (30 bar) have a characteristic shape with a pronounced shoulder at Q = 0.1 Å-1 (Figs. 1C and 2A). The Kratky representation (Q2 I(Q) versus Q), which is a valuable indicator of the protein folding state, reveals the presence of...

work page 2023

[3] [3]

conformational drift

DISCUSSION For the first time, we investigated R-PC in situ pressure structural stability by combining SAXS and optical spectroscopies. We discovered the complex behaviour of R-PC under HP: increasing pressure induces conformational changes in the R-PC trimeric structure, followed by trimer dissociation and subunits unfolding. Subsequent pressure release ...

work page 2018