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. 2023 Jun 1;18(6):e0286388. doi: 10.1371/journal.pone.0286388

Species independence of eye lens dimensions in teleosts and elasmobranchs

Rannveig Rögn Leifsdóttir 1,*, Steven E Campana 1
Editor: Athanassios C Tsikliras2
PMCID: PMC10234530  PMID: 37262043

Abstract

The vertebrate eye lens grows incrementally, adding layers of elongated, tightly packed lens fiber cells at the outer margin of the lens. With subsequent growth, previously-deposited fiber cells degrade, leaving a region of fully denucleated and organelle-free cells which are responsible for the high transparency and low light scattering characteristics of the lens. The objective of this study was to determine if the horizon separating the gelatinous outer cortex of the lens from its hardened interior occurred at a consistent location within the lens of several teleost and elasmobranch fish species, and could be linked to fiber cell morphology or function. A fixed ratio of 0.69±0.01 of hardened eye lens diameter (HD) to overall eye lens diameter (LD) was observed in a broad size range of Atlantic cod (Gadus morhua), haddock (Melanogrammus aeglefinus), thorny skate (Amblyraja radiata) and round ray (Rajella fyllae). The location of the hardened lens horizon was similar to that reported for optical plasticity and spherical aberration, but not that of fiber cell denucleation, suggesting that fiber cell dehydration continues after the loss of internal organelles. Our findings support a previous suggestion that the maintenance of optical quality during fish eye lens growth requires a precisely-fixed HD:LD ratio, while the ubiquity of a fixed ratio across fish taxa may suggest that many fish species possess a common refractive index profile. The linear relationship between HD and fish length should allow fish length to be backcalculated from the diameter of the isolated lens core, thus aiding research using isotope ratios of lens laminae or inner cores to reconstruct early life history events.

Introduction

The vertebrate eye lens has received attention in recent years as a potential biochemical recorder and source of age information [13]. Radiocarbon dating and amino acid racemization rates have been applied to eye lenses as an age validation method for both marine mammals and fish species [25]. Eye lenses have also been utilized as a repository for isotope derived information on fish life history [1, 6]. Although eye lenses are layered, the layers are not themselves reliable age indicators, as is the case with calcified structures like otoliths [7]. Nevertheless, the absence of physiological activity in the solidified lens core gives it some properties in common with otoliths.

Unlike most organic tissues, the vertebrate eye lens grows incrementally, with much of the central region becoming metabolically inert sometime after deposition [810]. The innermost part of the lens is known to form during prenatal development and thus contains proteins synthesized around the time of birth [9, 11]. Later growth adds layers of elongated, tightly packed lens fiber cells, which inter-connect along both their short and long axes. The nuclei and other organelles of the fiber cells subsequently degrade, leaving a fully denucleated and organelle-free cell [12]. It is the absence of these intracellular structures in the lens that contributes to its high transparency and low light scattering characteristics. In the fish lens, all fiber cells within the inner 92% of the lens radius are fully denucleated and free of organelles [13]. The light focusing characteristics of the lens comes from a refractive gradient within the lens itself [12].

The typical fish eye lens consists of three morphologically-distinct regions. 1) The outer cortex of the lens is gelatinous, with its structural integrity maintained by an outer lens capsule [14]. 2) Inside of the lens cortex is a hard, nearly incompressible sphere of dense protein, termed the core by some authors [1, 14, 15] but not by others. The lens cortex and “core” are easily distinguished in fresh material, with the former having the consistency of gelatin. 3) Less easily distinguished is the embryonic region of the core, which is apparent as poorly ordered layers of fiber cells visible in sections [12]. This embryonic region can sometimes be isolated by peeling away layers of hardened lens until no further peeling is possible, but can also be approximated as the smallest possible central region of the hardened portion of the lens [2, 6]. This central region of the hard part of the lens, which can reasonably be inferred to represent the earliest life history of the fish, has variously been termed the lens core [6], nucleus [2] or the central core [1]. It is noteworthy that the “core” of Fernald and Wright (1983) [14] and others does not correspond with the “core” of Vecchio and Peebles (2020) [6] and others. To avoid confusion, we refer to the entire hardened portion of the lens medial to the gelatinous lens cortex as the HL (hardened lens) and the embryonic region as the CHL (central hardened lens).

Considerable attention has been given to the isotopic composition of the CHL, given that it represents a proxy for the early life history of the fish. Much less attention has been given to the HL as a whole, despite its important role in maintaining focused vision. Working with a single fish species, Fernald and Wright (1983) recorded a cortex-HL horizon at 67% of the lens radius, which was invariant across a range of fish sizes. In a different species of the same family, Schartau et al. (2009) [13] demonstrated that the horizon corresponding to complete absence of intracellular structures was fixed at 92% of the lens radius, but that a threshold in optical plasticity first became evident at about 70% of the lens radius. Thus it is unclear what the well-defined cortex-HL horizon in fish eye lenses represents in terms of lens function; if the location of the cortex-HL horizon is ubiquitous across species, it would suggest the presence of a refractive index profile (and thus lens focusing properties) which is common across disparate taxa. The objective of this study was to test for differences in the relative location of the cortex-HL horizon across multiple taxa of teleosts and elasmobranchs, thus allowing inferences to be made about the importance of relative HL lens size in the light focusing properties of the fish eye lens.

Materials and methods

All fish samples were collected on the spring survey of the Icelandic Marine Research Institute (MRI) off the west coast of Iceland (N 65.0–67.2 W 22.2–27.2), between 1–7 March 2021. Cod (Gadus morhua) (n = 30), haddock (Melanogrammus aeglefinus) (n = 33), thorny skate (Amblyraja radiata) (n = 31) and round ray (Rajella fyllae) (n = 11) were caught in 17 bottom trawls at depths ranging from 173–308 m and bottom temperatures of -0.1 to 5.9°C. Fish were measured to the nearest 0.5 cm total length (TL) then euthanized by direct spinal cord transection. Working with the freshly-collected samples, the intact eye lens was removed with forceps through a small incision in the eye cornea and its diameter measured to the nearest 0.05 mm with calipers. The hardened portion of the eye lens (HL) was extracted from the lens by rupturing the outer membrane and rolling the lens between the fingers until an unambiguous hard central core was obtained and no additional layers could be removed (Fig 1). The same endpoint was reached if the eye was frozen, subsequently thawed, and then delaminated using forceps following the method of Wallace et al. (2014). As noted by Fernald and Wright (1983), the gelatinous outer cortex of the lens was easily distinguished from the nearly-incompressible HL; to confirm the absence of error in identifying the horizon, comparative measurements were made of the HL diameter in left and right eyes of all four fish species. As with the intact lens, HL diameter was measured with calipers to the nearest 0.05 mm. No attempt was made to identify or isolate the CHL.

Fig 1. Eye lens (left side) and hardened lens (right side) of a 72-cm Atlantic cod.

Fig 1

All fish samples were collected on annual Icelandic federal government research surveys with the approval of the Animal Care Committee of the Marine and Freshwater Research Institute in Reykjavik.

Results

Both lens diameter (LD) and hardened lens diameter (HD) increased significantly with the total length (TL) of the fish (Table 1; Fig 2). The relationship was linear across the length range sampled in all species, including those that were clearly juveniles. Analysis of covariance indicated that the slopes differed significantly among species (ANOVA, p < 0.01). Left and right lens diameters were highly correlated in all species (r > 0.98), as were HL diameters, indicating little measurement or preparation error.

Table 1. Model parameters for the relationship predicting lens diameter (LD) or hardened lens diameter (HD) from total length (TL).

Species Intercept Slope N R2
Cod LD 4.034 ± 0.282 0.087 ± 0.004 30 0.95*
HD 2.573 ± 0.215 0.062 ± 0.003 30 0.94*
Haddock LD 3.434 ± 0.335 0.124 ± 0.007 33 0.91*
HD 1.863 ± 0.195 0.097 ± 0.004 33 0.95*
Thorny skate LD 0.648 ± 0.347 0.124 ± 0.008 31 0.89*
HD 0.012 ± 0.410 0.096 ± 0.009 31 0.77*
Round ray LD -0.149 ± 0.783 0.144 ± 0.019 11 0.86*
HD -0.231 ± 0.675 0.112 ± 0.016 11 0.84*

Estimates are ± 1 SE and significant relationships are indicated with *.

Fig 2. The relationship between eye lens diameter (LD •), hardened lens diameter (HD +) and fish total length (TL) in two teleost and two elasmobranch species.

Fig 2

The relationship between LD and HD was linear and highly significant in all cases (Table 2; Fig 3). The slopes relating LD to HD differed slightly but significantly between teleosts and elasmobranchs (ANOVA, p = 0.01) but the slopes of individual species did not show a significant difference (ANOVA, p = 0.057); the slope for thorny skate was the only species that may have been different from the others (Table 2; Fig 3). The mean HD:LD ratio in all species combined was 0.69 (95% CI = 0.67–0.70, N = 105). The HD:LD ratio was similar across both the teleost and elasmobranch species, with a mean ratio of 0.68 (95% CI = 0.67–0.69, N = 63) in the teleost species and a mean of 0.70 (95% CI = 0.67–0.73, N = 42) in the elasmobranch species. There was little evidence of a change in the HD:LD ratio with increasing fish length, with the possible exception of haddock (p = 0.09).

Table 2. Model parameters for the relationship predicting lens diameter (LD) from hardened lens diameter (HD).

Species Intercept Slope N R2 HD:LD ratio
Cod 0.628 ± 0.369 1.379 ± 0.052 30 0.96* 0.679 (0.66–0.69)
Haddock 1.022 ± 0.268 1.282 ± 0.042 33 0.98* 0.680 (0.66–0.69)
Thorny skate 1.145 ± 0.250 1.151 ± 0.061 31 0.96* 0.681 (0.64–0.71)
Round ray 0.422 ± 0.501 1.224 ± 0.113 11 0.96* 0.751 (0.70–0.81)

Estimates are 1 ± SE, significant relationships are indicated with * and 95% confidence interval estimates are shown in parentheses.

Fig 3. The relationship between eye lens diameter (LD) and hardened lens diameter (HD) in two teleost and two elasmobranch species.

Fig 3

Discussion

The eye lens diameter was isometric with fish length, as has previously been observed in other fish species [1]. The fact that the lens HL diameter was also isometric with fish length has not been reported previously, but would be mathematically predictable from the relationships reported by Fernald and Wright (1983) [14]. Isometric growth of the hardened portion of the eye lens shows that the HL increases in size to keep pace with the size of the fish, consistent with the allometric relationships of many other body parts [16].

A fixed ratio between hardened eye lens diameter and overall eye lens diameter was found across a broad size range in both teleost and elasmobranch species, with a common HD:LD ratio of 0.69. Similar observations were made in a study of the teleost Haplochromis burtoni, where the HL radius was 0.674 (s.d. = 0.051, N = 40) of the whole lens radius across a broad size range of fish [14]. Although the relationship between overall lens diameter and fish length was very different across taxa examined in our study, a ubiquitous and fixed HD:LD ratio shows that the growth of the HL is not only closely linked to the growth of the eye lens as a whole, but suggests that it serves a functional role that is common to disparate taxa. Fernald and Wright (1983) [14] suggested that the maintenance of optical quality during eye lens growth would require a fixed HD:LD ratio, and our findings support that hypothesis.

Most vertebrate eye lenses have a steep refractive gradient that decreases from the center of the lens towards the outer surface. A refraction gradient reduces spherical aberration and increases the total refractive power of the lens [14]. A refractive gradient in the eye lens is especially important in spherical eye lenses, such as those of teleost fishes, since a spherical eye lens holds all of the dioptric power. This is due to the very similar refractive indices of the surrounding materials, such as water, the cornea and the intraocular vitreous humour [17]. Fernald and Wright (1983) [14] measured the refractive index of the fish eye lens by measuring the path of a laser through the lens, concluding that the hardened eye lens had a uniform refractive index and that a refraction index gradient existed only in the lens cortex. They suggested that during growth, the optical qualities of the fish eye lens were preserved by maintaining a fixed ratio between the uniform refractive index core and the cortex containing the refraction index gradient. Fernald and Wright‘s interpretation has since been disputed, with Kröger (2013) [12] demonstrating the presence of a continuous refractive index gradient in the lens, with a high refractive index at the center, gradually decreasing towards the lens surface. When normalized to the lens radius, the refractive index profile remained unchanged throughout the fish’s lifetime [18]. This would suggest that optical properties are maintained during growth by maintaining the gradient profile normalized to the lens radius. In a more recent study looking at a wider growth range of zebrafish (Danio rerio), from larva to adult, Wang et al. (2020) [20] utilized X-ray Talbot interferometry to measure the three-dimensional gradient index profiles in the eye lensemonstrating that lenses of all ages had a continuous and increasing refractive gradient from the surface towards a plateau near the center of the lens. The refractive index gradient profile changed with lens growth; when normalized to the lens radius, the slope of the profile became steeper with age, while the extent of the plateau increased with lens size and age [19]. The results of Wang et al. (2020) [20] are markedly similar to those of Fernand and Wright’s (1983) [14], in that both reported a uniform refractive index at the center of the fish eye lens that increased in size with growth of the fish. Whether or not the HL represents the area of uniform refractive index is unclear. However, our results clearly showed a marked similarity in HD:LD ratios across both teleost and elasmobranch species, thus supporting the thesis that continued and precisely-maintained formation of the hardened portion of the eye lens is a necessary feature to maintain optical quality. However, our results could not be used to address the issue of the refractive index gradient profile.

Vertebrate eye lens growth begins during embryonic development, when the ectoderm overlying the optic cup inverts and pinches off to form a hollow vesicle. Cells from the posterior region of the lens elongate to form primary lens fiber cells that fill the vesicle. Newly formed cells elongate to form secondary fiber cells that overlay the primary fibers [8]. Growth of the eye lens continues throughout the lifetime of individuals with new layers constantly added on top of older layers [8, 10]. During embryonic development, fiber cells medial to the lens cortex lose their organelles and nuclei in a process resembling apoptosis, resulting in the formation of an organelle-free zone (OFZ). The primary fiber cells are the first to become organelle free but as development proceeds, more and more secondary fiber cells are included [19]. The loss of organelles allows the eye lens to achieve transparency but also hinders cells from synthesizing or degrading proteins; therefore proteins persist in the eye lens throughout the lifetime of individuals [8]. To achieve and maintain a refractive index gradient throughout the whole lens, higher protein density must exist at the center of the lens. Therefore as the lens grows, denucleated, organelle-free fiber cells must increase their protein concentration in the cytoplasm to increase their refractive index. Since denucleated, organelle-free cells are unable to synthesize protein, and since growth of the eye lens continues throughout the lifetime of the fish, compaction would appear to be necessary to increase the refractive index. Observations of flattened cortical cells in the fish eye lens could be explained by compaction [20]. However, Kozlowski and Kröger (2019) [21] developed a method for viewing cross-sections and measuring cell dimensions in fish eye lenses and demonstrated in later research consistent fiber cell thickness throughout the radius of the zebrafish eye lens, concluding that protein concentration in denucleated cells was increased by transport of proteins, likely in exchange with water, from synthetically competent cells in the periphery of the lens [22]. Schartau et al. (2009) [13] noted that lens focusing remained plastic at lens radii greater than 70%, which is the same radius threshold measured for spherical aberration in laser focusing experiments [12], and very similar to the 67% HD:LD horizon reported here. However, the OFZ occurs at 92% of the lens radius in many fish species [13]. Therefore, our results are consistent with the view that the optical plasticity of the lens is better reflected by the HD:LD horizon than by the OFZ, but our findings do not address the mechanism for doing so. The fact that one specific refractive index (and presumably hardness and protein concentration) consistently occurred at the same relative position in different species suggests that they must have had very similar refractive index profiles.

The linear relationship between the diameter of the eye lens and the length of the fish implies that growth back-calculations of previous fish size from the lens radius should be possible [23]. Therefore, the relative size of the HL central core and laminae should be useful as indicators of the fish size corresponding to the time of lamina/core formation, even if they cannot be linked to an exact age of formation. Many recent applications of the eye lens have used the stable isotope or radiocarbon composition of the HL laminae or central core as proxies of an earlier stage of life. For example, recent applications using central cores of a very small size are currently (and reasonably) assumed to represent a very early life stage. Using standard growth backcalculation methods [23], it should be possible to estimate quite accurately the size of the fish corresponding to the size of the central core which was isolated. The only prerequisite of such an approach is the development of a predictive regression relating the length of the fish to the diameter of the hardened portion of the lens (not the lens as a whole), as was done in this and other studies [i.e. 1].

Supporting information

S1 Table. All corresponding data.

(CSV)

Acknowledgments

We are grateful for the assistance and advice provided by Jón Sólmundsson and Klara Jakobsdóttir from the Marine and Freshwater Institute of Iceland. Tomasz M. Kozłowski provided many helpful suggestions in his review of the MS.

Data Availability

All relevant data are within the paper and its Supporting information files.

Funding Statement

The author received no specific funding for this work.

References

  • 1.Quaeck-Davies K, Bendall VA, MacKenzie KM, Hetherington S, Newton J, Trueman CN. Teleost and elasmobranch eye lenses as a target for life-history stable isotope analyses. PeerJ. 2018. Jun 6:4883. doi: 10.7717/peerj.4883 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 2.Nielsen J, Hedeholm RB, Heinemeier J, Bushnell PG, Christiansen JS, Olsen J, et al. Eye lens radiocarbon reveals centuries of longevity in the Greenland shark (Somniosus microcephalus). Science. 2016. Aug 353(6300):702–704. doi: 10.1126/science.aaf1703 [DOI] [PubMed] [Google Scholar]
  • 3.Boye TK, Garde E, Nielsen J, Hedeholm R, Olsen J, Simon M. Estimating the Age of West Greenland Humpback Whales Through Aspartic Acid Racemization and Eye Lens Bomb Radiocarbon Methods. Front Mar Sci. 2020. Jan 6:811. doi: 10.3389/fmars.2019.00811 [DOI] [Google Scholar]
  • 4.Hedeholm R, Qvist T, Frausing M, Olsen J, Nielsen J, Grønkjær P. Age of black dogfish (Centroscyllium fabricii) estimated from fin spines growth bands and eye lens bomb radiocarbon dating. Polar Biol. 2021. Apr 44(4A):751–759. [Google Scholar]
  • 5.Bada JL, Vrolijk CD, Brown S, Druffel ERM, Hedges REM. Bomb radiocarbon in metabolically inert tissues from terrestrial and marine mammals. Geophys Res Lett. 1987. oct 14(10):1065–1067. doi: 10.1029/gl014i010p01065 [DOI] [Google Scholar]
  • 6.Vecchio JL & Peebles EB. Spawning origins and ontogenetic movements for demersal fishes: An approach using eye-lens stable isotopes. Estuar Coast Shelf Sci. 2020. Nov 246:107047. doi: 10.1016/j.ecss.2020.107047 [DOI] [Google Scholar]
  • 7.Campana SE. Accuracy precision and quality control in age determination, including a review of the use and abuse of age validation methods. Jour Fish Biol. 2001. Aug 59(2):197–242. doi: 10.1006/jfbi.2001.1668 [DOI] [Google Scholar]
  • 8.Bloemendal H, Jong W, Jaenicke R, Lubsen NH, Slingsby C, Tardieu A. Ageing and vision: structure, stability and function of lens crystallins. Prog Biophys Mol Biol. 2004. Nov 86(3):407–85. doi: 10.1016/j.pbiomolbio.2003.11.012 [DOI] [PubMed] [Google Scholar]
  • 9.Lynnerup N, Kjeldsen H, Heegaard S, Jacobsen C, Heinemeier J. Radiocarbon dating of the human eye lens crystallines reveal proteins without carbon turnover throughout life. PLoS One. 2008. Jan 3(1):1529. doi: 10.1371/journal.pone.0001529 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 10.Augusteyn RC. On the growth and internal structure of the human lens. Exp Eye Res. 2010. Jun 90(6):643–54. doi: 10.1016/j.exer.2010.01.013 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 11.Bassnett S, Shi Y, Vrensen GFJM. Biological glass: structural determinants of eye lens transparency. Philos Trans R Soc Lond B Biol Sci. 2011. Apr 366(1568): 1250–1264. doi: 10.1098/rstb.2010.0302 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 12.Kröger RH. Optical plasticity in fish lenses. Prog Retin Eye Res. 2013. May 34:78–88. doi: 10.1016/j.preteyeres.2012.12.001 [DOI] [PubMed] [Google Scholar]
  • 13.Schartau JM, Sjögreen B, Gagnon YL, Kröger RHH. Optical plasticity in the crystalline lenses of the cichlid fish Aequidens pulcher. Curr Biol. 2009. Jan 19(2):122 126. doi: 10.1016/j.cub.2008.11.062 [DOI] [PubMed] [Google Scholar]
  • 14.Fernald RD. & Wright SE. Maintenance of optical quality during crystalline lens growth. Nature.1983. Feb 301(5901):618–620. doi: 10.1038/301618a0 [DOI] [PubMed] [Google Scholar]
  • 15.Kurth BN, Peebles EB, Stallings CD. Atlantic Tarpon (Megalops atlanticus) exhibit upper estuarine habitat dependence followed by foraging system fidelity after ontogenetic habitat shifts. Estuar Coast Shelf Sci. 2019. Sep 225: 106248. [Google Scholar]
  • 16.Klingenberg CP. Multivariate Allometry. In: Marcus L.F., Corti M., Loy A., Naylor G.J.P., Slice D.E. (eds) Advances in Morphometrics. 1996. NATO ASI Series, vol 284. Springer, Boston, MA. doi: 10.1007/978-1-4757-9083-2_3 [DOI] [Google Scholar]
  • 17.Hogben L & Landgrebe F. The pigmentary effector system IX. The receptor fields of the teleostean visual response. Proc Biol Sci. 1938. Feb 128(852):317–342. doi: 10.1098/rspb.1940.0014 [DOI] [Google Scholar]
  • 18.Kröger RH, Campbell MC, Fernald RD. The development of the crystalline lens is sensitive to visual input in the African cichlid fish, Haplochromis burtoni. Vision Research. 2001. Mar 41(5):549–559. doi: 10.1016/s0042-6989(00)00283-2 [DOI] [PubMed] [Google Scholar]
  • 19.Bassnett S. Lens organelle degradation. Exp Eye Res. 2002. Jan 74(1):1–6. doi: 10.1006/exer.2001.1111 . [DOI] [PubMed] [Google Scholar]
  • 20.Wang K, Vorontsova I, Hoshino M, et al. Optical development in the zebrafish eye lens. The FASEB Journal. 2020;00:1–11. doi: 10.1096/fj.201902607R [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 21.Kozłowski TM & Kröger RHH. Visualization of adult fish lens fiber cells. Experimental Eye Research. 2019. Apr 181:1–4. doi: 10.1016/j.exer.2018.12.013 [DOI] [PubMed] [Google Scholar]
  • 22.Kozłowski TM & Kröger RHH. Constant lens fiber cell thickness in fish suggests crystallin transport to denucleated cells. Vision Research. 2019. Jun 162:29–34. doi: 10.1016/j.visres.2019.06.008 [DOI] [PubMed] [Google Scholar]
  • 23.Campana SE. How reliable are growth back-calculations based on otoliths? Can J Fish Aquat Sci. 1990. May 47(11):2219–2227. doi: 10.1139/f90-246 [DOI] [Google Scholar]

Decision Letter 0

Athanassios C Tsikliras

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31 Oct 2022

PONE-D-22-23795

Species independence of eye lens dimensions in teleost and elasmobranchs

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Reviewer #1: ### Introduction

The authors start with a summary of latest interest regarding vertebrate eye lenses, after which they outline the lens development and an overall structure of a lens. They expand that topic describing three, significant to their research, regions of a fish eye lens: outer cortex, hard core, and embryonic region. This section could use a clarification. On the first pass I misunderstood that the lens capsule was one of the three regions. I suggest either 1) enumerating numerically or textually the regions as they are listed in text (as in this very line) or 2) listing all three regions before discussing them. The authors describe an issue with inconsistency regarding naming in the literature, defining clearly what terms will they use for each region of interest (Hardened lens and central hardened lens, HL and CHL respectively).

The next section the authors start strong claiming HL plays central role in maintaining focused vision. I cannot agree with that statement. HL’s role is as important as the rest of the lens in forming image. In the study the authors refer to (Schartau et al. 2009), the changes in optical properties happen pass the cortex-HL horizon at 70% radius (R) demonstrating that not only the HL plays an important role. The authors pose a question of what the function of such a well-defined cortex-HL horizon is. They suggest that ubiquity of horizon’s location points to optical properties and put in the opposition the transparency caused by the loss of intracellular structures. I am not sure why those two were selected as opposing hypotheses since the intracellular loss happens way pass the 70% R all the way to 92% R. This makes the work’s motivation somewhat weak. Despite that, the authors close the section with clearly defined study objectives: testing for relative location of cortex-HL horizon in different species.

### Materials and methods

The authors provide a detailed description of samples collection: time, location, conditions, number of individuals, and their species. They describe the methodology regarding euthanasia, extraction of lens from a fish eye, extraction of HL from a lens, and measurements of fishes, lenses, and HL. Materials and methods section is solid and detailed. However, “error in identifying the horizon (…) was virtually impossible” has no place in scientific publication. Errors can be highly unlikely but never impossible, especially when the used method involves squashing a gelatinous sphere with fingers. This was particularly surprising to read because the reminder of this sentence describes the best possible approach to the problem: measuring lenses from both eyes and comparing them. Which is exactly what the authors did.

### Results

Firstly, the authors report that lens diameter (LD) and HL diameter (HD) are linearly correlated with total length (TL) of the fish, but the relation is different for different species. The relation between LD and HD is also linear. There is no significant difference between individual species, only when two groups (teleost vs elasmobranchs) were compared. This is likely caused by thorny skate which stands out from the rest. The authors establish combined for all species HD:LD ratio to be 69%. They also provide a breakdown of ratios for both groups (68% and 70%). The ratio is also invariant to TL. The authors back all their findings with statistical analysis. At the end the authors include data from five lenses of species not involved in this study. They find no correlation between DH and fork length, but they point out small sample size and sample size range. This part brings nothing to the study and makes me wonder why mentioning this at all.

### Discussion

The authors discuss that the link between LD and HL agrees with other studies and that HL increases its size to keep the pace with the fish size. The ratio of HD:LD is 69% which also agrees with reports on other species. The authors argue that whereas the relation between TL and LD is different for different species, consistent HD:LD ratio suggest HL increasing size is linked to maintenance of optical quality during the lens growth. Further the authors explain that refractive index gradient (decreasing from the center to the surface) present in most vertebrate eyes increases the optical power and reduces spherical aberration. The refractive index gradient is especially important to spherical lenses (such as in fishes) due to surrounding materials of similar refractive index (water, cornea, intraocular vitreous humor).

Unfortunately, in the next part the authors bring up outdated views regarding the refractive index profile in a fish eye lens. They refer to conclusions drawn by Fernald and Wright (1983) that the HL has a uniform refractive index, that optical properties are maintained during the growth by maintaining the cortex-HL horizon, and that central fibers are compressed due to high refractive index. Continuous gradient of refractive index has been demonstrated in Kröger 2013. A study that involved Fernald himself (Kröger et al. 2001, DOI: 10.1016/s0042-6989(00)00283-2) showed that optical properties are maintained during the growth by maintaining the gradient profile normalized to radius. The compression of fibers has also been disproved relatively recently (Kozłowski and Kröger 2019, DOI: 10.1016/j.visres.2019.06.008). The authors comment on Fernald and Wright’s conclusions by mentioning early studies that disagreed with Fernald and Wright but, as publications I brought up, demonstrate it is far from a debate. The section is closed with a conclusion that HD:LD ratio similar between species is important for maintenance of optical quality.

The authors continue with a summary of lens development leading to the fact that fiber cells lose their organelles and nuclei. They also mention that cells lose the water which is not the case. The authors seem surprised that organelle free zone (OFZ) is reported up to 92% R whereas the HL is only up to 70% R. Presence of water is exactly the reasons. It would be impossible to rub off the gelatinous outer cortex if loss of organelles would go with a loss of water. The authors also believe that 70% R reported by Schartau et al. 2009 is a threshold of optical plasticity. In Schartau’s work one can observe small differences at regions as close as 20% R (Day vs Night). If those differences are too small to be convincing, Jönsson et al. 2014 (DOI: 10.1007/s00359-014-0941-z) showed changes in lenes of Atlantic cod along almost the entire radius below the 70% R. Naturally, based on those wrong assumptions the authors build an incorrect conclusion that optical plasticity is better reflected by the HL rather than by the OFZ, where studies shows neither seem to really affect it.

The discussion is closed with a possible application of back calculations for estimates of fish sizes based on the size of isolated central core.

### Final remarks

I know my review will not make the authors’ day particularly good, but I believe that the experiment was done and reported well, and the findings can contribute to our collective knowledge on lenses. The science is good but it is not a publication material in its current form. The study needs a better motivation and conclusions drawn with better understanding of relation between optics, refractive index, and proteins.

When looking at single species, fixed cortex-HL horizon means similar density of proteins, which in turn means refractive index. The horizon must be maintained in that position throughout the growth because the entire refractive index profile must remain the same. It is very interesting that one specific refractive index (thus protein concentration, thus hardness) always ends up in the same relative position for different species, suggesting that they must have a very similar refractive index profile.

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Reviewer #1: Yes: Tomasz M. Kozłowski

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Decision Letter 1

Athanassios C Tsikliras

27 Mar 2023

PONE-D-22-23795R1Species independence of eye lens dimensions in teleost and elasmobranchsPLOS ONE

Dear Dr. Leifsdóttir,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the three minor points raised during the review process.

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PLOS ONE

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Reviewer #1: The authors addressed all the concerns from the original review. I am returning with one minor remark, few mistakes, and a comment. I will discuss them as they appear in text:

Line 79: "...a refractive index profile (...) which are common" - I think it should be "is"

Lines 167-175: The way it is formulated suggests a direct contradiction. Both Kröger and Wang talk about optical properties with lens growth - constant vs changing, but both mean the "lens growth" in a different way. Wang looked at the full growth from larva to adult, whereas Kröger looked at individuals form sexual maturity up to 3 years. Wang's results for similar range show that the changes are very small (117dpf - 880dpf). I leave the clarification at the authors' discretion.

Lines 172-173: "...continuous and declining refractive gradient from the surface towards a plateau near the center of the lens" - Refractive index is the highest in the center, so it should be "increasing" instead of "declining". Alternatively: "...declining refractive gradient from a plateau near the center of the lens towards the surface"

Line 206: "likely in exchange with water" - This part can be removed. The mechanism we suspected was transport of proteins which would dissolve in water rather than exchange it.

Line 177: "both reported a uniform refractive index at the center of the fish eye lens" - I have been thinking about this for a very long time. I disagree with this statement but I have trouble accusing the authors of being incorrect. To me Wang's plateau is not a region of constant refractive index, but rather a region in which the change is very small. However, what does it mean "constant"? What differentiate "constant" from "plateau" by my definition, would be a difference in refractive index several places after comma. Others may look at this with different precision or threshold. As such it is more of an opinion rather than a fact, making it an academic discussion which is outside the scope of a review. Nevertheless I am bringing authors' attention to this detail.

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Reviewer #1: Yes: Tomasz M Kozłowski

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PLoS One. 2023 Jun 1;18(6):e0286388. doi: 10.1371/journal.pone.0286388.r004

Author response to Decision Letter 1


11 May 2023

Response to Reviewers of PONE-D-22-23795R1 - Species independence of eye lens dimensions in teleost and elasmobranchs

We thank the reviewer for his helpful comments. In the following, we have put in the reviewer’s comments and our answers marked with (AS:).

Reviewer #1: The authors addressed all the concerns from the original review. I am returning with one minor remark, few mistakes, and a comment. I will discuss them as they appear in text:

Line 79: "...a refractive index profile (...) which are common" - I think it should be "is"

AS: The wording has been changed, “are” has been corrected to “is”.

Lines 167-175: The way it is formulated suggests a direct contradiction. Both Kröger and Wang talk about optical properties with lens growth - constant vs changing, but both mean the "lens growth" in a different way. Wang looked at the full growth from larva to adult, whereas Kröger looked at individuals form sexual maturity up to 3 years. Wang's results for similar range show that the changes are very small (117dpf - 880dpf). I leave the clarification at the authors' discretion.

AS: Agree, we have changed the wording slightly so that it does not suggest a direct contradiction.

Lines 172-173: "...continuous and declining refractive gradient from the surface towards a plateau near the center of the lens" - Refractive index is the highest in the center, so it should be "increasing" instead of "declining". Alternatively: "...declining refractive gradient from a plateau near the center of the lens towards the surface"

AS: The wording has been changed, “declining” has been corrected to “increasing”.

Line 206: "likely in exchange with water" - This part can be removed. The mechanism we suspected was transport of proteins which would dissolve in water rather than exchange it.

AS: The part “likely in exchange with water” has been removed.

Line 177: "both reported a uniform refractive index at the center of the fish eye lens" - I have been thinking about this for a very long time. I disagree with this statement but I have trouble accusing the authors of being incorrect. To me Wang's plateau is not a region of constant refractive index, but rather a region in which the change is very small. However, what does it mean "constant"? What differentiate "constant" from "plateau" by my definition, would be a difference in refractive index several places after comma. Others may look at this with different precision or threshold. As such it is more of an opinion rather than a fact, making it an academic discussion which is outside the scope of a review. Nevertheless I am bringing authors' attention to this detail.

AS: We agree with the reviewer that the difference of “constant” and “plateau” could be an academic discussion. However, we have a different understanding of Wang’s plateau and would like to keep the original wording.

Attachment

Submitted filename: Response to Reviewers.docx

Decision Letter 2

Athanassios C Tsikliras

16 May 2023

Species independence of eye lens dimensions in teleost and elasmobranchs

PONE-D-22-23795R2

Dear Dr. Leifsdóttir,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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Kind regards,

Athanassios C. Tsikliras

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Acceptance letter

Athanassios C Tsikliras

22 May 2023

PONE-D-22-23795R2

Species independence of eye lens dimensions in teleosts and elasmobranchs

Dear Dr. Leifsdóttir:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

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on behalf of

Professor Athanassios C. Tsikliras

Academic Editor

PLOS ONE

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