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BIOLOGICAL SCIENCES / BIOPHYSICS
Müller cells are living optical fibers in the vertebrate retina




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*Paul Flechsig Institute of Brain Research, Universität Leipzig, Jahnallee 59, 04109 Leipzig, Germany;
Interdisciplinary Center of Clinical Research, Inselstrasse 22, 04103 Leipzig, Germany;
Center for Molecular Biology and Neuroscience, Department of Biochemistry, School of Medicine, Universidad Central de Caribe, Bayamon, Puerto Rico 00960;
Division of Soft Matter Physics, Department of Physics, Universität Leipzig, Linnéstrasse 5, 04103 Leipzig, Germany; ¶Department of Ophthalmology and Eye Clinic, Universität Leipzig, 04103 Leipzig, Germany; ||Deutsche Forschungsgemeinschaft Molecular Physiology of the Brain Research Center and Department of Neurophysiology and Cellular Biophysics, Universität Göttingen, 37073 Göttingen, Germany; and 
Department of Physics, University of Cambridge, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom
Edited by Luke Lee, University of California, Berkeley, CA, and accepted by the Editorial Board March 27, 2007 (received for review December 15, 2006)
| Abstract |
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fiberoptic plate | glial cells | refractive index | light guides | optical trap
Consequently, nature has implemented ingenious solutions in the properties and the arrangement of structures and cell assemblies that light has to pass for normal physiological functioning. The lens body in vertebrate eyes, for instance, consists of elongated fiber cells. These cells do not only display a very regular oval or hexagonal cross-section, a smooth surface, and a regular distribution, they even lose most of their organelles during differentiation, including the cell nucleus (3). In the vertebrate retina, the inner and outer segments of photoreceptor cells are considered natural optical fibers, supported by their highly specialized shape and optical properties (4). Other natural optical fibers occur in deep-sea glass sponges or in the compound eye of insects, whose biomimetic copies have even found their way into technical components (5, 6). What these examples have in common is a relatively regular geometry of the light-guiding structures and, in the case of living cells, a sophisticated specialization for this very function.
Considering these facts, it seems surprising that the retina in the vertebrate eye is inverted and that images projected onto the retina have to pass several layers of randomly oriented and irregularly shaped cells with intrinsic scatterers before they reach the light-detecting photoreceptor cells (7, 8). This situation seems to be "equivalent to placing a thin diffusing screen directly over the film in your camera" (9). However, this "screen" contains a regular pattern of cells, which are arranged in parallel to each other and span the entire thickness of the retina (
150 µm). These cells, Müller cells, are radial glial cells in the inner vertebrate retina, which have a cylindrical, fiber-like shape (their original name was "radial fibers of Müller") (10). They fulfill a wide range of physiological functions to support the functioning and survival of retinal neurons (11). For this purpose Müller cells are, unlike the natural optical fibers mentioned above, endowed with many complex side branches, which ensheath neuronal compartments, such as synapses (12). On the other hand, they putatively occupy a strategic position in the path of light through the retina from the vitreous, where light enters the tissue, to the outer limiting membrane, where the inner segments of the photoreceptor cells receive the incident light. Therefore, it is intriguing to investigate whether they could play a role in the transfer of light through the inner retina.
| Results |
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5–6 µm apart, corresponding well to diameter and spacing of the bright spots in Fig. 1b [see also supporting information (SI) Fig. 5]. The same reflection patterns were also observed in retinae of rabbits (data not shown) and humans (SI Fig. 6). To show that the observed phenomenon is relevant in physiological conditions, these experiments were successfully repeated with retinae of living guinea pigs in situ (SI Fig. 7d). Importantly, reconstruction along the z axis (Fig. 2a and SI Figs. 6 and 7) showed that the dark spots were contiguous in adjacent horizontal sections and formed tubes that corresponded to distinct optical pathways. At the innermost retinal layer, closest to the vitreous body, these tubes widened to funnel-like structures, which together formed a 15-µm-thick continuous low-reflecting zone only interrupted by axon bundles (Fig. 2a).
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The observed spatial pattern of these tubes corresponded well to the spacing and diameters of the columnar Müller cells (Fig. 2b) (17, 18). Furthermore, the funnel-like structures observed in reflection-mode were reminiscent of the densely packed cobblestone pattern of the Müller cell endfeet at the inner retinal surface (19). Indeed, the tubular structures could be unambiguously identified as Müller cells. They were capable of selective uptake of vital dyes (Fig. 2 b–g) (20, 21) and could be counterstained with an antibody directed against vimentin (Fig. 2 f and g). In the retina, vimentin is a protein specific to Müller cells (17, 22). Hence, it is the Müller cells that provide a passage for light through the retina to the photoreceptor cells. These data, together with their cylindrical geometry, suggested a mechanism of light transport similar to optical fibers.
In classical optical fibers, light is confined in the transverse direction by an elevated refractive index of the core compared with its cladding. Thus, we analyzed the refractive indices of enzymatically dissociated vital retinal cells by using quantitative phase microscopy (Fig. 3) (23, 24). The somata of various retinal neurons (ganglion, amacrine, and bipolar cells) displayed similar refractive indices (n = 1.358 ± 0.005; mean ± SD) (Fig. 3a) close to earlier estimates for the total retina (25–27). In contrast, the mean refractive index of Müller cell stalks was significantly higher (n = 1.380 ± 0.021) (Fig. 3a). Toward the so-called endfoot, the funnel-shaped termination of the Müller cell facing the vitreous body with n = 1.335 (26), the refractive index decreased to n = 1.359 ± 0.003. Such a local decrease of the refractive index could serve to minimize reflection at the interface between vitreous and retina. Similar results were consistently found in Müller cells from four different vertebrate species (SI Table 1).
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where
is the free-space wavelength of the visible light, d is the diameter of the waveguide, and n1 and n2 are the refractive indices of the waveguide and the surrounding material, respectively (28, 29). For a conservative estimate, it is sufficient to calculate V at the longest visible wavelength (700 nm) and the smallest diameter, which occurs at the inner process (d
2.8 µm) (21). The largest possible value for the extracellular refractive index is that of the adjacent neurons with n2 = 1.358. The calculated V = 2.6–2.9 for the different parts along the Müller cell (Fig. 3b) is sufficiently high to allow low-loss propagation of a few modes in the structure even at 700 nm (28). At a wavelength of 500 nm, the V parameter increases to V = 3.6–4.0. Although the refractive index and diameter of the Müller cells both change along their length, the V parameter and, thus, the light-guiding capability stay nearly constant (Fig. 3b). In contrast to the smooth cylindrical shape of artificial or other biological optical fibers (6, 30, 31), each cell possesses complex side-branching processes important to its interactions with neurons (12). Their inclusion through an "effective" refractive index gradient actually increases the V parameter of the Müller cell (32). Consequently, despite their complex morphology, Müller cells could thus function as waveguides for visible light.
To test this hypothesis, we investigated light propagation through individual, enzymatically dissociated living Müller cells by using a fiberoptical dual-beam laser trap (Fig. 4) (33–35). The optically induced forces in the trap allowed the gentle capture of individual cells from suspension (Fig. 4b). The forces also aligned the cells along the optical axis without any mechanical contact (Fig. 4 b and c). In addition to the infrared trapping laser beams, visible light was coupled into one of the fibers (input fiber), and the light power coupled back into the opposing (output) fiber was measured (Fig. 4 c and d). Because the light reentering the output fiber depends on the distance from the input fiber and on the optical properties of the trapped object, this setup could be used to directly test the axial light transmission through individual cells.
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When the cell was removed, the power measured dropped considerably due to the numerical aperture of the input fiber and the resulting divergence of the laser beam (Fig. 4d and SI Figs. 8 and 9). This effect was elucidated when the light path was directly visualized by using a fluorescent vital dye (MitoTracker orange) that was both present in solution and taken up by the cell. The dye was excited by the visible light emanating from the input fiber. Although the laser beam diverged as expected without the cell, the light remained confined to the Müller cell when present in the trap (SI Fig. 8). Both experiments clearly showed that Müller cells capture the visible light, prevent it from diverging, and guide it to their distal end. To further demonstrate the light collection and guidance power of Müller cells, the optical fibers were then intentionally misaligned, so that without a cell almost no light was detected (SI Fig. 9). Even in this case, the Müller cells were still able to capture and guide the light. The relative guiding efficiency,
= Pwith_cell/Pwithout_cell, increased up to a factor of 9, depending on the angle between the fibers. In combination, our single-cell experiments, the theoretical considerations, and the transmission and reflection measurements strongly suggest that Müller cells are, and function as, optical fibers in the retina, relaying light from the inner surface to the layer of the photoreceptors while bypassing scattering structures present.
| Discussion |
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The collective parallel arrangement of Müller cells in the retina resembles that of optical fibers in fiberoptic plates, which are used to transfer images between spatially separate planes with low loss and low distortion. The structural similarity suggests an analogous function of the Müller cell array in situ (SI Fig. 5). The basic fiberoptic plate-like structure is especially characteristic for the retinae of all mammals with the exception of the fovea centralis of humans and higher primates, the region of our retina that is responsible for sharp vision; here, the photoreceptor cells are not obscured by any inner retinal layers at all.
On average, every mammalian Müller cell is coupled to one cone photoreceptor cell (17) (responsible for sharp seeing under daylight conditions, i.e., photopic vision) plus a species-specific number of rod photoreceptor cells (17) (
10 in both man and guinea pig), serving low light level (scotopic) vision. Thus, in the case of photopic vision, the parallel array of Müller cells may preserve the initial image resolution by guiding the light directly to their respective cone photoreceptor cell, minimizing image distortion. This array might also serve to improve image contrast by increasing the signal-to-noise ratio (39). In scotopic vision, Müller cells could reduce loss of intensity by minimizing light reflection, particularly at the inner retinal surface. In summary, Müller cells in the retina assume the role of optical fibers and reliably transfer light with low scattering from the retinal surface to the photoreceptor cell layer. At the same time, their funnel-shape leaves >80% of the retinal volume for other cells and the neuronal connectivity (SI Fig. 5) and might thus spatially decouple light transport from neuronal signal processing. The function of glial cells that we describe here explains a fundamental feature of the inverted retina as an optical system.
| Materials and Methods |
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All experiments were carried out in accordance with applicable German laws of animal protection and with the Association for Research in Vision and Ophthalmology Statement for the Use of Animals in Ophthalmic and Vision Research. The protocol of this study was approved by the local ethical committee and adhered to the tenets of the Declaration of Helsinki for experiments involving human tissue.
Confocal Microscopy. Transmission measurements. Freshly dissected guinea pig eyes were gently opened at opposite areas. Cornea and lens were removed for insertion of a multimode optical fiber. Sclera, choroid, pigment epithelium, and the photoreceptor layers were locally cut away to allow direct optical access to the end of the prephotoreceptor light path. The transmitted light emanating from the optical fiber was captured through the objective (x40, N.A. = 0.75, water immersion) of a confocal microscope (LSM 510 Meta; Zeiss, Oberkochen, Germany).
Reflection measurements. Freshly isolated retinal whole-mounts of several species, including man, were placed on a confocal microscope with the inner surface pointing toward the objective (x40, N.A. = 0.75, water immersion) and observed in reflection mode.
In vivo measurements. Animals were anesthetized by i.m. application of 50 mg/kg ketamine (Ratiopharm, Ulm, Germany) and 5 mg/kg xylazine (BayerVital, Leverkusen, Germany). Eyes were gently opened in situ from rostral, cornea and lens were removed, animals were placed on a confocal microscope (LSM 510 Meta), and the objective (x20, N.A. = 0.5, water immersion) was inserted into the eye. Images were taken in reflection mode.
Cell Isolation. Fresh retinal pieces were incubated in Ca2+- and Mg2+-free PBS containing 0.03–0.1 mg/ml Papain (Boehringer, Mannheim, Germany) for 30 min at 37°C. After washing with PBS containing 200 units/ml DNase I (Sigma, Deisenhofen, Germany), the tissue pieces were gently triturated by a wide-pore pipette to obtain suspensions of isolated cells (40, 41). The supernatant was collected, and PBS was replaced by a physiological salt solution (PSS; 136 mM NaCl/3 mM KCl/1 mM MgCl2/2 mM CaCl2/10 mM Hepes/10 mM D-glucose). The pH of the solution was adjusted to 7.4 by using 1 M Tris. In the case of frog retinae, NaCl was reduced from 136 to 115 to maintain physiological osmolarity.
Refractometry.
Cells were isolated from retinae of humans (clinical samples), cats, guinea pigs, and frogs (Rana pipiens) as described above. The cells were then immersed in a chamber filled with PSS on the stage of an upright phase microscope (MBIN-4; LOMO, St. Petersburg, Russia) and allowed to settle to its bottom. Computer-aided phase microscopy was used to obtain quantitative information about the refractive index distribution within the cells as described in refs. 23 and 24. The use of a water-immersion lens (x40, N.A. = 0.65) yielded a diffraction-limited resolution of 0.4 µm. Imaging light was filtered by a monochromatic band-pass interference filter (
= 550 ± 5 nm), polarized, and used to measure differences in refractive index between a cellular compartment and the surrounding PSS solution with known refractive index. Defined samples of other salt solutions as well as rod outer segments were measured as controls. The latter yielded refractive indices of 1.407 ± 0.009 (frog) and 1.409 ± 0.025 (guinea pig), which are close to an average 1.41 published previously (31).
Modified Dual-Beam Laser Trap Experiments.
Individual acutely isolated guinea pig Müller cells were trapped and aligned in a dual-beam laser trap (trapping power 0.1 W in each beam) as previously described (42). The output of a near-infrared fiber laser (
= 1,064 nm; YLD-10-1064; IPG Photonics, Burbach, Germany) was fed into two single-mode fibers (PureMode HI 1060; Corning, Berlin, Germany), which were aligned against a backstop opposing each other on the stage of an inverted microscope (DMIL; Leica, Wetzlar, Germany). An additional laser with a wavelength in the visible range (argon ion laser;
= 514 nm) was coupled into one of the fibers, and a power meter (LM2; Coherent Deutschland, Dieburg, Germany) measured the intensity of visible light that coupled back into the opposing fiber. A short-pass filter was used to exclude the infrared trapping light from detection.
In a series of experiments, the refractive index n of the solution was increased to that of the natural surrounding of Müller cells (n
1.36) (25–27) by adding BSA (P-0834; Sigma). The refractive index of that solution was determined with a refractometer (Abbe-Refraktometer AR 4; A. Krüss Optronic, Hamburg, Germany). In a further set of experiments, the fibers' backstop was modified in a way such that the fibers were intentionally misaligned by an angle of
2–3°.
| Acknowledgements |
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| Footnotes |
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Author contributions: K.F. and J. Grosche contributed equally to this work; K.F., S.N.S., S.S., D.S., K.T., A.R., and J. Guck designed research; K.F., J. Grosche, S.N.S., S.S., and O.U. performed research; C.F. contributed new reagents/analytic tools; K.F., J. Grosche, S.N.S., and K.T. analyzed data; and K.F., D.S., A.R., and J. Guck wrote the paper.
The authors declare no conflict of interest.
This article is a PNAS Direct Submission. L.L. is a guest editor invited by the Editorial Board.
This article contains supporting information online at www.pnas.org/cgi/content/full/0611180104/DC1.
© 2007 by The National Academy of Sciences of the USA
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