Optical Influence of Oil Droplets on Cone Photoreceptor Sensitivity David Wilby* and Nicholas W
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© 2017. Published by The Company of Biologists Ltd | Journal of Experimental Biology (2017) 220, 1997-2004 doi:10.1242/jeb.152918 RESEARCH ARTICLE Optical influence of oil droplets on cone photoreceptor sensitivity David Wilby* and Nicholas W. Roberts ABSTRACT oil droplets must serve a purpose other than just spectral filtering Oil droplets are spherical organelles found in the cone photoreceptors (Walls, 1942; Hart, 2001). of vertebrates. They are generally assumed to focus incident light into Oil droplets have a relatively high refractive index, a spherical the outer segment, and thereby improve light catch because of the shape and are typically wider than the outer segment (Ives et al., droplets’ spherical lens-like shape. However, using full-wave optical 1983; Young and Martin, 1984; Wilby et al., 2015). Being able to simulations of physiologically realistic cone photoreceptors from enlarge the area of light capture without increasing the size of the birds, frogs and turtles, we find that pigmented oil droplets actually outer segment should, in theory, improve the signal-to-noise ratio drastically reduce the transmission of light into the outer segment and reduce energetic cost (Ives et al., 1983; Young and Martin, integrated across the full visible wavelength range of each species. 1984; Stavenga and Wilts, 2014). Nevertheless, the extent to which Only transparent oil droplets improve light catch into the outer oil droplets improve light capture is still unclear. Prior efforts have segments, and any enhancement is critically dependent on the proposed that oil droplets gather more light into the outer segment refractive index, diameter of the oil droplet, and diameter and length of (Govardovskiì et al., 1981; Ives et al., 1983; Young and Martin, the outer segment. Furthermore, oil droplets are not the only optical 1984; Stavenga and Wilts, 2014). However, this might not be the elements found in cone inner segments. The ellipsoid, a dense case for all oil droplets, with a recent study discovering that aggregation of mitochondria situated immediately prior to the oil the pigmented droplets in simulations of cone photoreceptors in the droplet, mitigates the loss of light at the oil droplet surface. We chicken (Gallus gallus domesticus) reduced transmission of light describe a framework for integrating these optical phenomena into into the outer segment for the regions of the spectrum to which simple models of receptor sensitivity, and the relevance of these the visual pigments were sensitive (Wilby et al., 2015). Only the observations to evolutionary appearance and loss of oil droplets is transparent oil droplet of the violet cone increased light transmission discussed. into the outer segment by approximately 50%. This raises the questions: what properties of oil droplets influence KEY WORDS: Oil droplets, Ellipsoid, Optics, Cone, Photoreceptor, light catch?; and how do oil droplets perform relative to the ‘ideal’ Vision light-coupling scenario in which all incident light within the area of the oil droplet is focused into the outer segment? INTRODUCTION In this study, we use numerical optical calculations informed by The cone photoreceptors of approximately half of the orders of morphological and optical measurements to investigate the vertebrates contain spherical structures composed of lipids and influence oil droplets have on optical power in the outer segment. carotenoid pigment, known as oil droplets (Walls, 1942; Jacobs We include the optics of the outer segment, which act as a and Rowe, 2004). Oil droplets are situated immediately prior to the waveguide to confine light to the regions of the retina containing the light-sensitive outer segment in the light path, and their role is to light-sensitive pigment. Finally, we examine the optical role of the influence the light that reaches it. Many oil droplets contain ellipsoid in conjunction with the oil droplet in the concentration of mixtures of carotenoid pigment (Johnston and Hudson, 1976; light into the outer segment. Toomey et al., 2015) and have been studied predominantly for their spectral filtering properties (e.g. Partridge, 1989; Hart, 2001) MATERIALS AND METHODS and their influence on tuning the spectral sensitivity of colour Optical simulations vision, thereby improving colour discrimination and colour Calculations were performed with the freely available finite- constancy (Vorobyev, 2003). However, the oil droplets of difference time-domain (FDTD) simulation software, MEEP (MPI ultraviolet- and violet-sensitive (UVS and VS, respectively) version 1.2; Oskooi et al., 2010), using the computational facilities cones are transparent across the visible spectrum (Bowmaker of the Advanced Computing Research Centre, University of Bristol. et al., 1997), containing no pigment. Further, numerous species Simulations took advantage of the rotational symmetry of the (Fig. 1) only have transparent oil droplets in all of their cone types. models about the z-axis, and computations were performed in Therefore, this widespread presence of transparency indicates that cylindrical polar coordinates for a thin wedge of the model (see Fig. S1). Carotenoid absorption spectra along with refractive index measurements were used to model the dielectric function of the oil Ecology of Vision Laboratory, School of Biological Sciences, Life Sciences droplets as previously described (Wilby et al., 2015). Building, Tyndall Avenue, University of Bristol, Bristol BS8 1TQ, UK. For models of oil droplets based on the three species in this *Author for correspondence ([email protected]) study [chicken, Gallus gallus domesticus (Linnaeus 1758); red- eared slider, Trachemys scripta elegansí (Wied-Neuwied 1839); D.W., 0000-0002-6553-8739 and African clawed frog, Xenopus laevis Daudin 1802], This is an Open Access article distributed under the terms of the Creative Commons Attribution calculations were performed for specific oil droplet and outer License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution and reproduction in any medium provided that the original work is properly attributed. segment dimensions. Dimensions and refractive indices were taken from the literature and are summarised in Table S2. For Received 6 November 2016; Accepted 14 March 2017 simplicity, a wavelength-invariant value of refractive index of 1.45 Journal of Experimental Biology 1997 RESEARCH ARTICLE Journal of Experimental Biology (2017) 220, 1997-2004 doi:10.1242/jeb.152918 Fig. 1. Summary tree of the pigmentation properties and Pigmented Placentals presence/absence of oil droplets in extant vertebrates. Blue Transparent Marsupials Mammals circles indicate that there are no pigmented oil droplets in any No oil droplets cone of a taxon; red circles show taxa that have at least some pigmented droplets and some transparent, most regularly in the Monotremes violet-sensitive (VS) and ultraviolet-sensitive (UVS) cones. Asterisks indicate the possible first appearance of pigmented or Birds transparent oil droplets. Question marks indicate uncertainties. Source references for oil droplet traits and more detailed Crocodiles notes are provided in the supplementary information (Table S1). Tree informed by Meyer and Zardoya (2003). Figure courtesy of Olle Lind, Lund University. Lizards Gekkos Reptiles Snakes ? Tuatara Turtles Frogs * Salamanders Amphibians Caecilians Lungfishes Lobe-finned fish ? Coelacanth * Teleosts Gars Bowfins Ray-finned fish Sturgeons Bichir Reedfish Sharks Cartilaginous fish Skates Lampreys Agnathans Hagfishes was used for the outer segment, as measured previously (Wilby absence of the oil droplet (NOD): et al., 2015). The refractive index change of the lipid membrane ÐÐ Ã across the visible spectrum is <0.01 (Roberts et al., 2009) and the ½ EðlÞ:E ðlÞdfdr DðlÞ¼ ÐÐ OD : ð1Þ visual pigment has minimal influence on the refractive index ½ EðlÞ:EÃðlÞ f d dr NOD (Stavenga and van Barneveld, 1975). Analyses of the sensitivity of the models to the refractive index of the outer segment Integrals were performed numerically in cylindrical polar demonstrated that a value of 1.45 is a conservative choice. The coordinates over the volume of the outer segment (which surrounding medium was given the refractive index 1.35, as effectively reduces to an area under cylindrical symmetry). The calculated by Enoch and Tobey (1978). Simulations that electric field vector is composed of components [Er,Eφ,Ez] along the incorporated the ellipsoid modelled it as a cylinder preceding the radial, polar and z (propagation) axes, respectively. The complex oil droplet and surrounding its front hemisphere, similarly to conjugate is indicated by *. Wilby et al. (2015). Ellipsoids were equal in radius to the oil Additionally, we define an enhancement as predicted using the μ droplet, had a refractive index of 1.43 and were 3.5 m long. Full geometry alone, DG, as the ratio of the cross-sectional areas of the details of all simulation parameters are given in Table S2. oil droplet and the outer segment, which reduces to: Following Ives et al. (1983), we define the volume-averaged E E enhancement factor, D, as the ratio of the integral of . * (as a d2 proxy for light intensity) within the outer segment in the presence of D ¼ OD ; ð2Þ G d2 an oil droplet (OD) to the integrated electric field intensity in the OS Journal of Experimental Biology 1998 RESEARCH ARTICLE Journal of Experimental Biology (2017) 220, 1997-2004 doi:10.1242/jeb.152918 where dOD and dOS are the diameter of the oil droplet and the