Dependence of energy relaxation and vibrational coherence on the location of light-harvesting chromoproteins in photosynthetic antenna protein complexes

Masaaki Tsubouchi; Motoyasu Adachi; Nobuhisa Ishii; Ryuji Itakura; Takatoshi Fujita

REVIEW 4 major objections 5 minor 16 references

Dependence of energy relaxation and vibrational coherence on the location of light-harvesting chromoproteins in photosynthetic antenna protein complexes

T0 review · 4 major / 5 minor · reviewed 2026-08-10 · deepseek-v4-flash

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Pith's one-line read Beat-frequency-resolved 2D electronic spectroscopy shows distinct energy relaxation and 200 cm^-1 vibrational coherence for allophycocyanin and two C-phycocyanin variants from different phycobilisome locations.

desk verdict Careful, novel 2D-ES comparison of phycobilisome chromoproteins, but the location-dependence claim rests on samples differing in linker composition and oligomeric state; the claim needs a hexamer-only control and replicates. read the letter →

arxiv 2501.11308 v1 pith:TA2OTBYO submitted 2025-01-20 physics.chem-ph physics.bio-ph

Masaaki Tsubouchi , Nobuhisa Ishii , Takatoshi Fujita , Motoyasu Adachi , Ryuji Itakura This is my paper · ORCID

classification physics.chem-phphysics.bio-ph

keywords energyphycobilisomeschromoproteinscoherencedifferentexcitonrelaxationantenna

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 authors studied three antenna proteins from the phycobilisome, the light-harvesting machine of cyanobacteria: allophycocyanin (APC) and two versions of C-phycocyanin (CPC1 and CPC2). They made these proteins by recombinant expression, designed to mimic the proteins found at the core, the inner rod, and the outer rod of the antenna complex. Using two-dimensional electronic spectroscopy with sub-10-femtosecond laser pulses, they watched how energy deposited by light relaxes within each protein over the first two picoseconds.

The central observation is that APC relaxes quickly: after excitation it reaches the bottom of its exciton potential energy surface in about 60 fs, with a quantum beat near 200 cm^-1 that decays in about 190 fs. The CPC variants relax much more slowly and retain excited vibronic population beyond 2 ps. CPC1 shows beat frequencies at 202 and 266 cm^-1, while the same region of the spectrum in APC shows 176 and 214 cm^-1. The authors interpret the differences in terms of wave packet motion on the exciton state and suggest they are connected to the protein's position in the antenna funnel.

The main caveat is that the recombinant samples may not be perfectly pure: size-exclusion chromatography shows both trimer and hexamer populations for the CPC constructs, and the authors admit that trimer molecules may be present under measurement conditions. Also, CPC1 and CPC2 differ in linker proteins as well as in their intended position. These factors weaken the direct link between 'location' and observed dynamics, but the qualitative differences between APC and the CPC variants are clearly demonstrated.

Extended reading notes

Core claim

The paper's central assertion, stated in the abstract and summary, is: "Even CPCs with almost the same molecular structure display significantly different spectra and kinetics when the locations in the phycobilisome are different. This difference may be one of the key mechanisms for the efficient and unidirectional energy transfer in phycobilisomes." If correct, chromoprotein position in the antenna tunes intraprotein energy relaxation and vibrational coherence, contributing to directional energy flow.

Load-bearing premise

The claim depends on the premise that the recombinant CPC1 and CPC2 preparations faithfully represent the hexamers that occupy the outer and middle positions of the native phycobilisome. The authors designed different linker protein combinations for the two constructs, and size-exclusion chromatography (Supplementary Fig. S3) shows both trimer and hexamer populations. The text states: "we cannot exclude the possibility that ... CPC1 and CPC2 include trimer molecules even in the conditions of 2D electronic spectroscopy." If the samples differ in oligomerization state or linker composition rather than in intrinsic location-dependent protein structure, the observed spectral and kinetic differences would not establish a location dependence.

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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

Two things to know. The experiment is the first side-by-side beat-frequency-resolved 2D-ES study of APC, CPC1, and CPC2 from the same cyanobacterium, and the measurement is careful: sub-10-fs pulses, an explicit excitation-energy dependence check, SVD-based global fitting, and mass spectrometry confirming chromophore attachment. The APC versus CPC contrast is visible in the raw spectra and honest to report. The second thing is that the headline claim — that location in the phycobilisome tunes intraprotein dynamics — is not secured by the samples. CPC1 and CPC2 are built with different linker constructs (CpcD'/CpcC' versus CpcG2'/CpcC'2), and SEC shows both trimer and hexamer populations for both. The authors concede in Supplementary Sec. 2 that they cannot exclude trimer molecules under 2D-ES conditions. At the measurement concentration the oligomeric state is simply uncharacterized. So the observed CPC1/CPC2 differences — the 100 cm−1 red shift, the relaxation/coherence contrast — could reflect linker composition, oligomerization state, genuine position-dependent tuning, or a mixture of all three. The data do not distinguish.

Credit where due: the authors did characterize their samples, disclosed the limitation instead of hiding it, and hedged the abstract appropriately ('may be'). The dynamical observations are interesting in their own right — the 62 fs Stokes shift in APC, the ~200 cm−1 beat with 192 fs decay, the phase flip across detection energy in APC versus the in-phase tripled peaks in CPC1, and the assignment to excited-state coherence based on the beat decay time matching the relaxation time. Those stand regardless of the location claim. The literature coverage is solid, including the FMO ground-state versus excited-state coherence discussion.

Soft spots in proportion. The missing replicates and error bars are real but secondary; key numbers are quoted without uncertainty. Data availability is 'upon reasonable request,' which is restrictive for a paper asking the community to buy a structural interpretation. The load-bearing issue is the sample confound, and the authors have already written that sentence themselves.

Who this is for: ultrafast spectroscopists and phycobilisome people, mainly. It deserves a serious referee, not a desk reject. My recommendation: send it out, and have the referee push on sample definition — hexamer-only preparations or native complexes, plus replicates — before the location-dependence conclusion is allowed to stand. If the question is whether this is a publishable contribution to the spectroscopy of these proteins, yes; if the question is whether the location claim is established, not yet.

Referee Report

4 major / 5 minor

Summary. The paper reports two-dimensional electronic spectroscopy (2D-ES) measurements on recombinant phycobiliproteins from Thermosynechococcus elongatus BP-1: an allophycocyanin (APC) trimer and two C-phycocyanin (CPC) constructs, CPC1 and CPC2, intended to represent hexamers at the outer and middle positions of the phycobilisome rod. The authors find that APC undergoes rapid vibrational energy relaxation to the bottom of the lower exciton potential surface with a ~62 fs dynamic Stokes shift and a ~200 cm−1 vibrational wave packet that decays in ~200 fs, whereas CPC1 shows slower, incomplete relaxation within 2 ps and weaker, shorter-lived coherence. The abstract claims that even CPCs with almost identical molecular structure show significantly different spectra and kinetics when located at different positions in the phycobilisome, and that this difference may be a key mechanism for unidirectional energy transfer. Beat-frequency-resolved 2D spectra are used to visualize counter-propagating wave packets in APC and to extract beat frequencies of 202 and 266 cm−1 for CPC1.

Significance. If the location-dependence claim is correct, the work would identify a new functional role for chromoprotein position in the phycobilisome, namely tuning intra-protein energy relaxation and vibrational coherence to support efficient unidirectional transfer. The experimental methodology is a strength: sub-10-fs visible pulses, a pump–probe 2D-ES geometry with high phase stability, and beat-frequency-resolved analysis are carefully described, and the observation of distinct wave-packet signatures in APC is a valuable empirical contribution. The global-analysis protocol with SVD and evolution-associated difference spectra is documented in detail. However, the central claim is not yet secured because the CPC1 versus CPC2 comparison is confounded by differences in linker composition and by uncharacterized oligomeric mixtures, and because the main text does not actually present the CPC2 2D-ES kinetics and coherence data.

major comments (4)

[Section II, Supplementary Sec. 2] The central claim that CPC1 and CPC2 show location-dependent dynamics is not securely established because the two constructs differ in linker composition (CpcD'/CpcC' for CPC1 vs. CpcG2'/CpcC'2 for CPC2) and because both samples contain trimer and hexamer populations according to size-exclusion chromatography (Supplementary Fig. S3). The authors themselves state that they 'cannot exclude the possibility that ... CPC1 and CPC2 include trimer molecules even in the conditions of 2D electronic spectroscopy.' Since the 2D-ES measurements were performed at a protein concentration roughly 300-fold higher than that used for SEC, the oligomeric state under the measurement conditions is uncharacterized. The observed ~100 cm−1 red shift and the different relaxation and coherence behavior of CPC1 and CPC2 could therefore reflect linker-induced conformational differences or trimer/hexamer ratio differences rather than the chromoprotein's position in the phycobilisome. A hexamer-only comparison, or at least a quantitative characterization of the oligomeric mixture under 2D-ES conditions, is required to support the abstract's location-dependence statement.
[Sections III.B–III.D, Supplementary Figs. S7, S11, S13–S15] The main text presents detailed 2D-ES and beat-frequency-resolved results only for APC and CPC1; the CPC2 data appear only in the supplementary material and in the transient spectra of Fig. 3. The abstract and the summary (Section IV) assert that the two CPCs display significantly different spectra and kinetics, but the quantitative comparison of energy relaxation time constants, beat frequencies, and coherence amplitudes between CPC1 and CPC2 is not shown in the main text. Without a main-text presentation of the CPC2 kinetics and coherence maps, readers cannot evaluate the central location-dependence claim. The authors should include the CPC2 data in the main text or explicitly limit the claim to the APC/CPC1 comparison.
[Section III.C, Eq. (1), Supplementary Sec. 7] No replicate measurements or error bars are reported for the reported time constants, beat decay times, or beat frequencies (e.g., τs = 176 fs, beat decay 192 fs, νbeat = 213 cm−1 for APC; τs > 1 ps for CPC1). The global fitting procedure is described, but the uncertainties of the fitted parameters and the quality of fit are not given. Given the acknowledged sample heterogeneity (Supplementary Sec. 2), the absence of any measure of variability makes it impossible to determine whether the differences between proteins are statistically significant. At minimum, the authors should report parameter uncertainties from the global fit and, ideally, repeat measurements on independent preparations.
[Section III.D, last paragraph] The assignment of the ~200 cm−1 vibrational coherence to the electronically excited state is based on the observation that the beat decay time (~200 fs) is similar to the vibrational energy relaxation time constant. This is an indirect argument; the ground-state bleaching pathway (Fig. 8(c)) could also contribute, as demonstrated for FMO complexes in Refs. 52 and 53. The authors should either provide additional evidence for the excited-state assignment (for example, excitation-energy dependence or a comparison with a system where the excited-state relaxation is altered) or explicitly state this assignment as a tentative interpretation in the conclusions.

minor comments (5)

[Section III.D, first paragraph] The sentence 'Figures 6(a) and (b) show the beat-frequency spectra for APC and CPC1, respectively. in intensity.' contains a sentence fragment 'in intensity.' that should be corrected.
[Author Contributions] The name 'Tomoyasu Adachi' in the author contributions does not match the affiliation list, which gives 'Motoyasu Adachi.' This appears to be a typographical error.
[Section II and Supplementary Sec. 2] The possibility that the samples contain trimer molecules under 2D-ES conditions is stated only in the supplementary material; this limitation should be acknowledged in the main text, as it directly affects the interpretation of the title and abstract.
[Figure 1(a)] Figure 1(a) shows the cryo-EM structure of Anabaena sp. PCC 7120, but the samples are from Thermosynechococcus elongatus BP-1; the text says the structures are similar, yet it would be clearer to show the actual source or to quantify the structural similarity.
[Abstract] The phrase 'Even CPCs with almost the same molecular structure' is imprecise because the CPC1 and CPC2 complexes contain different linker proteins; the phrase should specify that the chromoproteins (CpcA/CpcB) are nearly identical, not the full assemblies.

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity: the spectroscopic observables are extracted from measured time-domain data by global fitting and Fourier analysis, not assumed by the conclusions.

full rationale

The paper's central claim is that CPC1 and CPC2, despite nearly identical chromoprotein structure, show different spectra and kinetics depending on their location in the phycobilisome. The supporting quantities are derived from measured 2D-ES time profiles: beat frequencies come from Fourier transforms of fitting residuals, and relaxation time constants come from global fitting of the time-resolved spectra. These are analysis outputs, not inputs that encode the conclusion. The only self-citation is the experimental apparatus reference (Ref. 45, Opt. Express 2023), which describes the beat-frequency-resolved 2D-ES method and does not predetermine the measured dynamics. The stated limitation in Supplementary Section 2, 'we cannot exclude the possibility that ... CPC1 and CPC2 include trimer molecules even in the conditions of 2D electronic spectroscopy,' is a validity concern about sample composition, not a circular derivation: the observed differences might be caused by oligomerization state or linker composition rather than location, but the paper does not define its conclusion in terms of those observables or fit the conclusion into the data. No equation reduces to another by construction, and no load-bearing claim is justified solely by a self-citation. The paper is therefore self-contained in its derivation chain, with any residual concern belonging to experimental design rather than circular reasoning.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central observations are experimental; the listed fitted quantities are standard outputs of time-profile analysis, not ad hoc parameters. The main assumptions are that third-order 2D-ES theory applies, that literature exciton parameters are valid, and that the recombinant proteins reproduce native chromophore environments.

free parameters (4)

Fast compartment time constant τf = APC: 27 fs (Eexc=15500 cm^-1), 4.4 fs (Eexc=16650 cm^-1); CPC1/CPC2 not reliable
Global fit parameter in Eq. (1); authors do not interpret it because it mixes kinetics, beat, and coherent spike.
Slow compartment time constant τs = APC: 176 fs (Eexc=15500 cm^-1), 317 fs (Eexc=16650 cm^-1); CPC1 slow component >1 ps
Central to the claim that APC fully relaxes while CPC retains vibronic population; obtained by global fitting.
Dynamic Stokes shift time constant = 62 fs for APC at Eexc=15500 cm^-1
Single exponential fit to the trajectory of the detection energy at maximum amplitude before exponential plus oscillatory residual analysis.
Beat decay time and frequency = τc=192 fs, νbeat=213 cm^-1 for APC; 202 and 266 cm^-1 for CPC1
Damped-oscillation fit and Fourier transform of residuals; the quantitative basis for the coherence claims.

assumptions (4)

standard math Third-order nonlinear response theory and pump-probe 2D-ES phase stability yield absorptive spectra (refs 36-46).
The entire analysis treats S(Eexc, Edet, T) as a third-order signal; this is the standard framework for 2D-ES.
domain assumption The exciton state parameters for APC (ΔE=760 cm^-1, J=150 cm^-1) and CPC (ΔE=350 cm^-1) from prior literature (refs 29,32,34) accurately describe the electronic structure of these samples.
Used to assign features at 15400 and 16200 cm^-1 to exciton states and to interpret relaxation.
domain assumption The recombinant proteins are assembled in a manner representative of native phycobilisome chromoproteins at the intended locations.
Central to the location claim; authors acknowledge in SI that trimer molecules may coexist with hexamers under 2D-ES conditions.
domain assumption The double-exponential plus constant model (Eq. 1) with globally shared time constants adequately separates incoherent relaxation from quantum beats after a delay of 50 fs.
Used to extract residuals for beat-frequency analysis; authors note the fast compartment cannot be disentangled from the coherent spike.

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Cite this review

Pith. "Pith review of Dependence of energy relaxation and vibrational coherence on the location of light-harvesting chromoproteins in photosynthetic antenna protein complexes." pith.science (2026). https://pith.science/paper/TA2OTBYO

@misc{pith2026250111308,
  author       = {Pith},
  title        = {Pith review of: Dependence of energy relaxation and vibrational coherence on the location of light-harvesting chromoproteins in photosynthetic antenna protein complexes},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/TA2OTBYO}},
  note         = {Machine review of arXiv:2501.11308}
}

abstract

Phycobilisomes are antenna protein complexes in cyanobacteria and red algae. In phycobilisomes, energy transfer is unidirectional with an extremely high quantum efficiency close to unity. We investigate intraprotein energy relaxation and quantum coherence of constituent chromoproteins of allophycocyanin (APC) and two kinds of C-phycocyanin (CPC) in phycobilisomes using two-dimensional electronic spectroscopy (2D-ES). These chromoproteins have similar adjacent pairs of pigments $\alpha$84 and $\beta$84, which are excited to delocalized exciton states. However, the kinetics and coherence of exciton states are significantly different from each other. Even CPCs with almost the same molecular structure display significantly different spectra and kinetics when the locations in the phycobilisome are different. This difference may be one of the key mechanisms for the efficient and unidirectional energy transfer in phycobilisomes. We observe low-frequency coherent vibrational motion of approximately 200 cm$^{-1}$ with large amplitude and a decay time of 200 fs. The wave packet motion involving energy relaxation and oscillatory motions on the potential energy surface of the exciton state is clearly visualized using beat-frequency-resolved 2D-ES.

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Reference graph

Works this paper leans on

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Pith tools

Reviewed August 10, 2026 · model on record in the stance chip above.

[1] [1]

Core and rod structures of a thermophilic cyanobacterial light -harvesting phycobilisome

K. Kawakami, T. Hamaguchi, Y . Hirose, D. Kosumi, M. Miyata, N. Kamiya and K. Yonekura, "Core and rod structures of a thermophilic cyanobacterial light -harvesting phycobilisome", Nat. Commun. 13, 3389 (2022)

work page 2022

[2] [2]

Allophycocyanin trimer stability and functionality are primarily due to polar enhanced hydrophobicity of the phycocyanobilin binding pocket

A. McGregor, M. Klartag, L. David and N. Adir, "Allophycocyanin trimer stability and functionality are primarily due to polar enhanced hydrophobicity of the phycocyanobilin binding pocket", J. Mol. Biol. 384, 406-421 (2008)

work page 2008

[3] [3]

Structural analysis at 2.2 Å of orthorhombic crystals presents the asymmetry of the allophycocyanin –linker complex, AP⋅LC7.8, from phycobilisomes of Mastigocladus laminosus

W. Reuter, G. Wiegand, R. Huber and M. E. Than, "Structural analysis at 2.2 Å of orthorhombic crystals presents the asymmetry of the allophycocyanin –linker complex, AP⋅LC7.8, from phycobilisomes of Mastigocladus laminosus", Proc. Natl. Acad. Sci. USA 96, 1363-1368 (1999)

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[4] [4]

The 1.45Å three-dimensional structure of C -phycocyanin from the thermophilic cyanobacterium Synechococcus elongatus

J. Nield, P. J. Rizkallah, J. Barber and N. E. Chayen, "The 1.45Å three-dimensional structure of C -phycocyanin from the thermophilic cyanobacterium Synechococcus elongatus", J. Mol. Biol. 141, 149-155 (2003)

work page 2003

[5] [5]

High -resolution crystal structures of trimeric and rod phycocyanin

L. David, A. Marx and N. Adir, "High -resolution crystal structures of trimeric and rod phycocyanin", J. Mol. Biol. 405, 201-213 (2011)

work page 2011

[6] [6]

Serial femtosecond crystallography of soluble proteins in lipidic cubic phase

R. Fromme, A. Ishchenko, M. Metz, S. R. Chowdhury, S. Basu, S. Boutet, P. Fromme, T. A. White, A. Barty, J. C. H. Spence, U. Weierstall, W. Liu and V . Cherezov, "Serial femtosecond crystallography of soluble proteins in lipidic cubic phase", IUCrJ 2, 545- 551 (2015)

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[7] [7]

How to measure and predict the molar absorption coefficient of a protein

C. N. Pace, F. Vajdos, L. Fee, G. Grimsley and T. Gray, "How to measure and predict the molar absorption coefficient of a protein", Protein Sci. 4, 2411-2423 (1995)

work page 1995

[8] [8]

Beat-frequency-resolved two -dimensional electronic spectroscopy: disentangling vibrational coherences in artificial fluorescent proteins with sub -10-fs visible laser pulses

M. Tsubouchi, N. Ishii, Y . Kagotani, R. Shimizu, T. Fujita, M. Adachi and R. Itakura, "Beat-frequency-resolved two -dimensional electronic spectroscopy: disentangling vibrational coherences in artificial fluorescent proteins with sub -10-fs visible laser pulses", Opt. Express 31, 6890-6906 (2023)

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