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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Neural Circuits</journal-id>
<journal-title-group>
<journal-title>Frontiers in Neural Circuits</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Neural Circuits</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1662-5110</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fncir.2026.1782196</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Brief Research Report</subject>
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</article-categories>
<title-group>
<article-title>Absence of local retinotopy in the mouse optic tract</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Tripodi</surname>
<given-names>Matteo</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<uri xlink:href="https://loop.frontiersin.org/people/3398767"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Asari</surname>
<given-names>Hiroki</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn0001"><sup>&#x2020;</sup></xref>
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<aff id="aff1"><institution>Epigenetics and Neurobiology Unit, European Molecular Biology Laboratory (EMBL)</institution>, <city>Monterotondo</city>, <country country="it">Italy</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Hiroki Asari, <email xlink:href="mailto:asari@embl.it">asari@embl.it</email></corresp>
<fn fn-type="present-address" id="fn0001">
<label>&#x2020;</label>
<p>Present address: Hiroki Asari, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy</p>
</fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-03-03">
<day>03</day>
<month>03</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>20</volume>
<elocation-id>1782196</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>09</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 Tripodi and Asari.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Tripodi and Asari</copyright-holder>
<license>
<ali:license_ref start_date="2026-03-03">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Retinotopy is a fundamental organizational principle of the visual system, where neighboring neurons represent adjacent points in visual space. This spatial relationship is established by precise anatomical wiring across successive areas, e.g., from the retina to the lateral geniculate nucleus (LGN) to the visual cortex. To examine the precision of this topographic arrangement within the long-range projection axons themselves, we recorded retinal ganglion cell (RGC) axons in the mouse optic tract (OT) and mapped their receptive fields (RFs). As expected for a retinotopically organized area, we found that nearby LGN cell pairs had significantly smaller RF distances than distant pairs. In contrast, no such relationship was observed among RGC axons in the OT. Modelling analyses further confirmed that the observed RF distances in the OT were incompatible with any locally retinotopic arrangement. Instead, the OT retained only coarse topography, with ~18&#x00B0; RF deviations or ~40&#x202F;&#x03BC;m axonal displacements from an ideal retinotopic organization. These results demonstrate that the mouse OT lacks fine-scale retinotopy and maintains only broad topographic structure.</p>
</abstract>
<kwd-group>
<kwd>lateral geniculate nucleus</kwd>
<kwd>mouse</kwd>
<kwd>optic tract</kwd>
<kwd>retinal ganglion cells</kwd>
<kwd>retinotopy</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This work was supported by research grants from EMBL (HA).</funding-statement>
</funding-group>
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<fig-count count="2"/>
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<equation-count count="0"/>
<ref-count count="32"/>
<page-count count="8"/>
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</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>The vertebrate visual system maintains spatial relationships from the retina to the downstream visual areas via topographic projections (<xref ref-type="bibr" rid="ref12">Huberman et al., 2008</xref>; <xref ref-type="bibr" rid="ref28">Seabrook et al., 2017</xref>; <xref ref-type="bibr" rid="ref6">Cang et al., 2018</xref>). This retinotopic organization emerges early in development (<xref ref-type="bibr" rid="ref8">Debski and Cline, 2002</xref>; <xref ref-type="bibr" rid="ref17">McLaughlin and O&#x2019;Leary, 2005</xref>; <xref ref-type="bibr" rid="ref5">Cang and Feldheim, 2013</xref>), and provides a fundamental platform for visual processing, ensuring that nearby points in visual space are represented by neighboring neuronal populations. In mice, retinal ganglion cells (RGCs) project to &#x003E;40 brain areas (<xref ref-type="bibr" rid="ref20">Morin and Studholme, 2014</xref>; <xref ref-type="bibr" rid="ref16">Martersteck et al., 2017</xref>), with nearly all axons passing through the same pathway &#x2013; the optic nerve, optic chiasm, and optic tract (OT) &#x2013; before diverging to targets, such as the superior colliculus and the lateral geniculate nucleus (LGN). While retinotopy in these downstream areas has been well characterized (<xref ref-type="bibr" rid="ref18">McLaughlin et al., 2003</xref>; <xref ref-type="bibr" rid="ref22">Piscopo et al., 2013</xref>; <xref ref-type="bibr" rid="ref19">Molotkov et al., 2023</xref>), it remains elusive to what extent retinotopy is maintained in the long-range RGC axons themselves.</p>
<p>Previous anatomical and tracing studies have demonstrated that retinotopy is largely preserved in the optic nerve (<xref ref-type="bibr" rid="ref3">Bunt and Horder, 1983</xref>; <xref ref-type="bibr" rid="ref24">Reese, 2011</xref>; but see <xref ref-type="bibr" rid="ref11">Horton et al., 1979</xref>). Axons arising from specific retinal quadrants occupy consistent positions within the optic nerve, forming a reliable mapping of the retinal geometry as they exit the eye. This topographic organization is, however, substantially disrupted in the optic chiasm (<xref ref-type="bibr" rid="ref15">Marcus and Mason, 1995</xref>; <xref ref-type="bibr" rid="ref7">Colello and Guillery, 1998</xref>), where axons from the two eyes intersect and distribute themselves into either ipsilateral or contralateral side. The optic chiasm has thus been considered as a sorting hub, where retinotopy is relaxed to permit reorganization based on molecular cues, midline crossing decision, and eventual target-specific routing (<xref ref-type="bibr" rid="ref13">Jeffery, 2001</xref>). After passing through the optic chiasm, RGC axons reorganize and partially recover retinotopic organization in the OT via pre-target sorting (<xref ref-type="bibr" rid="ref29">Simon and O&#x2019;Leary, 1991</xref>; <xref ref-type="bibr" rid="ref23">Plas et al., 2005</xref>; <xref ref-type="bibr" rid="ref30">Sitko et al., 2018</xref>). This indicates the presence of coarse retinotopy in the OT before reaching the target; however, questions remain on the precision and functional consequences of this reorganization.</p>
<p>Using <italic>in vivo</italic> electrophysiological recordings, here we mapped visual receptive fields (RFs) of individual RGC axons in the mouse OT. We quantified the spatial organization of these RFs, and took a data-driven modelling approach to evaluate how faithfully visual space is represented in the OT. Our results revealed a moderate degree of retinotopy, but not a fine-grained one. This highlights a robustness of the visual system to imprecision in long-range wiring, with refinement of the topographic organization taking place in each target area.</p>
</sec>
<sec sec-type="results" id="sec2">
<title>Results</title>
<p>In a brain region with retinotopy, by definition, neighboring cells have adjacent receptive fields (RFs), representing nearby points in visual space (<xref ref-type="bibr" rid="ref5">Cang and Feldheim, 2013</xref>; <xref ref-type="bibr" rid="ref28">Seabrook et al., 2017</xref>). To examine if the optic tract (OT) has a retinotopic organization, we thus performed <italic>in vivo</italic> extracellular recordings of retinal ganglion cell (RGC) axons in the mouse OT, and mapped their RFs using white-noise stimuli and reverse correlation (e.g., <xref ref-type="fig" rid="fig1">Figures 1A</xref>&#x2013;<xref ref-type="fig" rid="fig1">E</xref>). As a positive control, recordings were also made from the dorsal lateral geniculate nucleus (LGN; e.g., <xref ref-type="fig" rid="fig1">Figures 1F</xref>&#x2013;<xref ref-type="fig" rid="fig1">J</xref>), a major retinorecipient area well-known to have a retinotopy (<xref ref-type="bibr" rid="ref22">Piscopo et al., 2013</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Receptive fields (RFs) of retinal ganglion cell (RGC) axons simultaneously recorded in the mouse optic tract (OT) are more widely spread across the visual field than those of lateral geniculate nucleus (LGN) cells. <bold>(A)</bold> Schematic of OT recordings in awake head-fixed mice and a representative histological image showing the electrode position (DiI, red). <bold>(B&#x2013;D)</bold> Spatial RF (top) and temporal kernel (bottom) of three representative single-units that had the largest signals on the same recording site from a representative OT recording (left, average spike waveform in each recording site). Orange ellipses show a two-dimensional Gaussian envelope (at 1.5<italic>&#x03C3;</italic>) fitted to the spatial RF profile of each unit. <bold>(E)</bold> RF center locations of all simultaneously recorded single-units from the representative OT recording (crosses; <italic>N</italic>&#x202F;=&#x202F;20). Those with the largest signals on the same recording site are shown with the Gaussian envelopes of the same color. <bold>(F&#x2013;J)</bold> Corresponding data for a representative LGN recording (<bold>F</bold>, schematic and histological image; <bold>G&#x2013;I</bold>, spatial RF, temporal kernel, and spike waveforms of three representative units that had the largest signals on the same recording site; <bold>J</bold>, RF center locations of all simultaneously recorded single-units, <italic>N</italic>&#x202F;=&#x202F;40). Adapted with permission from <xref ref-type="bibr" rid="ref32">Tripodi and Asari (2025)</xref>, licensed under <ext-link xlink:href="https://creativecommons.org/licenses/by/4.0/deed.en" ext-link-type="uri">CC BY 4.0</ext-link>.</p>
</caption>
<graphic xlink:href="fncir-20-1782196-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Figure containing panels that compare visual responses in retinal ganglion cells (RGCs) and lateral geniculate nucleus (LGN) relay cells in mice. Panels A and F illustrate experimental setups with stimulation paradigms and electrode locations in coronal brain atlas sections, highlighting placements in the optic tract (OT) and LGN, respectively. Panels B&#x2013;D and G&#x2013;I display spike waveforms, spatial receptive field (RF) maps, and temporal response profiles for representative RGCs and LGN cells, with corresponding units marked. Panels E and J show scatter plots summarizing the spatial locations of RFs for all simultaneously recorded RGCs and LGN cells, respectively, with colored ellipses highlighting receptive field boundaries in azimuth and elevation coordinates.</alt-text>
</graphic>
</fig>
<p>Using multichannel silicon probes (4 shanks, each with 8&#x2013;16 recording sites; <xref ref-type="fig" rid="fig1">Figure 1</xref>), we simultaneously recorded 6&#x202F;&#x00B1;&#x202F;4 single-units from the OT (mean &#x00B1; standard deviation, 33 animals) and 17&#x202F;&#x00B1;&#x202F;16 single-units from the LGN (17 animals). We found that the measured RFs of those single-units from the OT recordings were widely distributed across the visual stimulation area (73&#x00B0; and 44&#x00B0; in azimuth and elevation, respectively; RF size range, 1.3&#x00B0;&#x2013;13.1&#x00B0;; e.g., <xref ref-type="fig" rid="fig1">Figure 1E</xref>). This was also the case even for those units that had the largest signals on the same recording site, hence were supposedly located near each other in close proximity to the recording site (e.g., <xref ref-type="fig" rid="fig1">Figures 1B</xref>&#x2013;<xref ref-type="fig" rid="fig1">D</xref>). In contrast, the measured RFs of LGN cells were spatially more clustered (e.g., <xref ref-type="fig" rid="fig1">Figure 1J</xref>) and demonstrated substantial overlap, especially among neighboring cells (e.g., <xref ref-type="fig" rid="fig1">Figures 1G</xref>&#x2013;<xref ref-type="fig" rid="fig1">I</xref>) as expected from known retinotopy (<xref ref-type="bibr" rid="ref12">Huberman et al., 2008</xref>; <xref ref-type="bibr" rid="ref28">Seabrook et al., 2017</xref>). Such qualitative comparison already suggested that the mouse OT lacks retinotopy.</p>
<p>For quantitative population-level data analysis, we examined how the RF distance relates to the physical distance between simultaneously recorded units (<xref ref-type="fig" rid="fig2">Figure 2</xref>). We first used the electrode distance as a proxy of the distance between the units, and found a significant positive correlation for the LGN (Pearson correlation coefficient <italic>R</italic>&#x202F;=&#x202F;0.42, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001, <italic>N</italic>&#x202F;=&#x202F;4,491 pairs; <xref ref-type="fig" rid="fig2">Figure 2C</xref>), but not for the OT (<italic>R</italic>&#x202F;=&#x202F;&#x2212;0.01, <italic>p</italic>&#x202F;=&#x202F;0.8, <italic>N</italic>&#x202F;=&#x202F;756 pairs; <xref ref-type="fig" rid="fig2">Figure 2A</xref>). The RF size differences between the pairs were small (LGN, 1.4&#x202F;&#x00B1;&#x202F;0.9&#x00B0;; OT, 1.1&#x202F;&#x00B1;&#x202F;0.6&#x00B0;; median &#x00B1; median absolute deviation), indicating that consistent populations were sampled in each group. We next made a comparison between nearby and distant cell pairs, where nearby cell pairs were defined as those single-units that had the largest signals on the same recording site (i.e., zero electrode distance), whereas distant pairs as those with the largest signals on different recordings sites (i.e., non-zero electrode distance). In the LGN, the measured RF distance was significantly shorter for nearby cell pairs (4.8&#x202F;&#x00B1;&#x202F;2.3&#x00B0;, median &#x00B1; median absolute deviation; <italic>N</italic>&#x202F;=&#x202F;150 from 11 mice) than for distant cell pairs [14.0&#x202F;&#x00B1;&#x202F;5.8&#x00B0;; <italic>N</italic>&#x202F;=&#x202F;4,341 from 17 mice; <italic>p</italic>(U-test)&#x202F;&#x003C;&#x202F;0.001; <xref ref-type="fig" rid="fig2">Figure 2D</xref>]. In the OT, however, RF distances did not differ between nearby (21.3&#x202F;&#x00B1;&#x202F;15.1&#x00B0;, <italic>N</italic>&#x202F;=&#x202F;39 from 18 mice) and distant pairs [29.0&#x202F;&#x00B1;&#x202F;12.7&#x00B0;, <italic>N</italic>&#x202F;=&#x202F;717 from 33 mice, <xref ref-type="fig" rid="fig2">Figure 2B</xref>; <italic>p</italic>(U-test)&#x202F;=&#x202F;0.10]. Thus, neighboring RGC axons in the mouse OT do not necessarily represent adjacent visual locations.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>The mouse optic tract (OT) lacks local topographic organization, while maintaining global retinotopy. <bold>(A,B)</bold> The RF center distance between RGC axons in the mouse OT as a function of the distance between the recording sites <bold>(A)</bold>, and the probability distribution of the RF center distance (<bold>B</bold>: light red, nearby pairs with the largest signals on the same recording site, <italic>N</italic>&#x202F;=&#x202F;39 from 18 animals; dark red, distant pairs with the largest signals on different recording sites, <italic>N</italic>&#x202F;=&#x202F;717 from 33 animals; gray, expected distribution for nearby pairs by Monte Carlo simulation): circle, median; bar, the first and third quartiles. <bold>(C,D)</bold> Corresponding data for LGN cells (light blue, <italic>N</italic>&#x202F;=&#x202F;150 nearby pairs from 11 animals; dark blue, <italic>N</italic>&#x202F;=&#x202F;4,341 distant pairs from 17 animals; gray, Monte Carlo simulation). <bold>(E,F)</bold> Simulated RF distance between nearby RGC axons at different retinotopy levels. Additive Gaussian noise (at different jitter levels, <italic>&#x03C3;</italic>; <bold>E</bold>) was introduced to RF locations to achieve different spatial monotonicity levels (Kendall&#x2019;s <italic>&#x03C4;</italic>) of their topographic organization <bold>(F)</bold> black line, median; gray shade, 25 and 75 percentile range; black dotted line, expected <italic>&#x03C3;</italic> and <italic>&#x03C4;</italic> values given the measured data (red). <bold>(G,H)</bold> Simulated topographic map (color-coded) of the mouse OT (<bold>G</bold>, precise retinotopy; <bold>H</bold>, moderate retinotopy corresponding to experimental data).</p>
</caption>
<graphic xlink:href="fncir-20-1782196-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Panels A and C show scatter plots comparing RF distances and electrode distances in the OT and LGN regions, respectively, along with a small illustration of brain anatomy. Panels B and D present violin plots comparing RF distances for model, nearby, and distant units in OT and LGN, respectively, with p-values noted. Panel E contains a line graph of simulated RF distance in OT versus jitter level, with model prediction and horizontal line for data. Panel F is a line graph of simulated RF distance versus spatial monotonicity, again comparing model and OT data. Panels G and H are color gradient matrices of simulated retinotopic map in OT, labeled for elevation and azimuth, with no noise (&#x03C3;=0, &#x03C4;=1) and experimentally observed noise (&#x03C3;=0.13, &#x03C4;=0.49), respectively.</alt-text>
</graphic>
</fig>
<p>To further evaluate this, we modelled the expected RF distance for nearby cell pairs under the assumption of retinotopy (see &#x201C;Methods&#x201D; for details). For LGN, Monte Carlo simulations yielded an estimated RF distance between 4.2&#x00B0; and 4.9&#x00B0; (95% confidence interval; median, 4.6&#x00B0;; <xref ref-type="fig" rid="fig2">Figure 2D</xref>), given the retinotopy gradient of 0.11&#x00B0;/&#x03BC;m (<xref ref-type="bibr" rid="ref22">Piscopo et al., 2013</xref>) and a reliable single-unit recording range of 40&#x202F;&#x03BC;m from an extracellular electrode (<xref ref-type="bibr" rid="ref1">Anastassiou et al., 2015</xref>). This is consistent with the measured RF distance (median, 4.8&#x00B0;), validating our modelling approach. Applying the same logic to the mouse OT (diameter, ~300&#x202F;&#x03BC;m; visual field extending ~135&#x00B0; in both azimuth and elevation; <xref ref-type="bibr" rid="ref21">Paxinos and Franklin, 2001</xref>), our model predicted the median RF distance of 7.9&#x00B0;&#x2013;10.7&#x00B0; for nearby pairs (median, 9.3&#x00B0;; <xref ref-type="fig" rid="fig2">Figure 2B</xref>) if RGC axons were arranged retinotopically. This disagreed with the measured RF distance (median, 21.3&#x00B0;), hence rejecting the presence of retinotopy imposed as a key premise of the model.</p>
<p>To what extent does the mouse OT retain topographic organization? To address this question, we extended our model by introducing additive Gaussian noise to the RF location of the simulated RGC axons (see &#x201C;Methods&#x201D; for details), where <italic>&#x03C3;</italic>&#x202F;=&#x202F;1 corresponds to the represented visual field (135&#x00B0;). We then used Kendall&#x2019;s <italic>&#x03C4;</italic> as a measure of spatial monotonicity to quantify the degree of retinotopy, where <italic>&#x03C4;</italic>&#x202F;=&#x202F;1 and 0 represent precise and no retinotopy, respectively. As expected, the retinotopy level <italic>&#x03C4;</italic> decreased with increasing noise level <italic>&#x03C3;</italic>, and the estimated RF distance of nearby RGC axons expanded (<xref ref-type="fig" rid="fig2">Figures 2E</xref>,<xref ref-type="fig" rid="fig2">F</xref>). From the intersection between the measured and simulated RF distances, we then identified that the mouse OT had a moderate level of retinotopy (<italic>&#x03C4;</italic>&#x202F;=&#x202F;0.49) with <italic>&#x03C3;</italic>&#x202F;=&#x202F;0.13, corresponding to a deviation of RF location from a retinotopically ideal position by ~18&#x00B0;, or equivalently, a displacement of RGC axons by ~40&#x202F;&#x03BC;m (<xref ref-type="fig" rid="fig2">Figures 2G</xref>,<xref ref-type="fig" rid="fig2">H</xref>). This indicates that the mouse OT lacks local retinotopy, while maintaining topographic organization at a global level.</p>
</sec>
<sec sec-type="discussion" id="sec3">
<title>Discussion</title>
<p>Here we provide <italic>in vivo</italic> electrophysiological evidence for the absence of local retinotopy in the mouse optic tract (OT). Both population-level analyses and data-driven models failed to identify a fine-scale topographic organization in the OT that would make neighboring retinal ganglion cell (RGC) axons encode adjacent locations in the visual field. In contrast, corresponding analyses on the dorsal lateral geniculate nucleus (LGN) supported the presence of retinotopy as expected from previous studies (<xref ref-type="bibr" rid="ref12">Huberman et al., 2008</xref>; <xref ref-type="bibr" rid="ref28">Seabrook et al., 2017</xref>), thereby serving as a control for our functional circuit characterization.</p>
<p>We acknowledge several caveats in our results. First, the OT is predominantly comprised of RGC axons, but also contains axons from other sources, such as the parabigeminal nucleus (<xref ref-type="bibr" rid="ref25">Reinhard et al., 2019</xref>; <xref ref-type="bibr" rid="ref31">Tokuoka et al., 2020</xref>) and the superior colliculus (<xref ref-type="bibr" rid="ref10">Gale and Murphy, 2014</xref>). Our physiological criteria (i.e., robust visual responses with short latencies and well-defined, spatially-confined linear RFs) may not be sufficient to fully exclude those nontargets. Second, while the OT is largely intermingled to form a broad retinotopy, there is partial and graded segregation of RGC axons by the cell type and projection target (<xref ref-type="bibr" rid="ref9">Erskine and Herrera, 2014</xref>; <xref ref-type="bibr" rid="ref27">Robles et al., 2014</xref>). Our models did not incorporate such typology, and thus may underestimate the actual degree of retinotopy in OT. Another caveat is that the nodes of Ranvier from adjacent RGC axons can be offset by up to ~70&#x202F;&#x03BC;m (<xref ref-type="bibr" rid="ref4">Butt et al., 1994</xref>); hence, they may not be detected on the same recording site. Nevertheless, the units we defined as &#x201C;nearby&#x201D; should still be in close proximity to a given recording site, and thus near each other if not the closest. This guarantees the validity and robustness of our data/model analyses.</p>
<p>Our finding that RGC axons in the mouse OT retain only coarse retinotopy implies a fundamental constraint of early visual pathway organization: i.e., pre-target axon sorting cannot establish precise spatial relationships over long distances (<xref ref-type="bibr" rid="ref23">Plas et al., 2005</xref>). This is consistent with known limits of axon guidance mechanisms, such as Eph/ephrin signaling and axon fasciculation, that establish broad topographic gradients but lack the resolution required for single-axon precision (<xref ref-type="bibr" rid="ref17">McLaughlin and O&#x2019;Leary, 2005</xref>; <xref ref-type="bibr" rid="ref5">Cang and Feldheim, 2013</xref>). Thus, fine retinotopy must be re-established within each target via activity-dependent mechanisms&#x2014;including retinal waves and Hebbian plasticity&#x2014;to impose local precision on coarse inputs (<xref ref-type="bibr" rid="ref8">Debski and Cline, 2002</xref>; <xref ref-type="bibr" rid="ref18">McLaughlin et al., 2003</xref>).</p>
<p>Such a two-step architecture likely reflects an adaptive circuit organization principle: by relaxing long-range wiring constraints, the system reduces developmental cost while increasing robustness. Small positional deviations in the OT have then minimal impact because final mappings are refined locally in individual targets. Moreover, each area remains free to optimize the retinotopic map for its own computational needs (<xref ref-type="bibr" rid="ref14">Knapen, 2021</xref>), rather than relying on the geometric arrangement of incoming axons themselves. Testing these functional implications in the visual system&#x2014;and examining if they extend across the central nervous system&#x2014;will be an important direction for future studies.</p>
</sec>
<sec sec-type="materials|methods" id="sec4">
<title>Materials and methods</title>
<p>No statistical method was used to predetermine the sample size. The significance level was 0.05 in all analyses unless otherwise noted. All experiments were performed under the license 233/2017-PR and 220/2024-PR from the Italian Ministry of Health, following protocols approved by the Institutional Animal Care and Use Committee at European Molecular Biology Laboratory. The data analyses were done in Python and MATLAB.</p>
<sec id="sec5">
<title>Animals</title>
<p>Animals were housed on a 12&#x202F;h light&#x2013;dark cycle, with ad libitum access to water and food. In total, 50 female wild-type mice (C57BL/6J; RRID: IMSR_JAX:000664), 4&#x2013;19&#x202F;weeks old (median, 9.2&#x202F;weeks old) at the time of surgery, were used for <italic>in vivo</italic> electrophysiology (optic tract, 33 animals; lateral geniculate nucleus, 17 animals).</p>
</sec>
<sec id="sec6">
<title><italic>In vivo</italic> electrophysiology</title>
<p>In vivo electrophysiology was performed as described previously (<xref ref-type="bibr" rid="ref32">Tripodi and Asari, 2025</xref>). Briefly, we first implanted a head-plate to animals for fixing their head during in vivo electrophysiological recordings. Before the surgery, animals were injected with Carprofen (5&#x202F;mg/kg) and then anaesthetized with isoflurane (4% for induction, 1% for maintenance in O<sub>2</sub>). During the surgery, the animals were placed in a stereotaxic frame (Stoelting 51625) with a heating pad (Supertech Physiological) to keep their temperature stable at 37 &#x00B0;C; and ointment (VitA-Pos, Ursapharm) was applied on both eyes to prevent them from drying. A portion of the scalp was removed to expose the skull, and the periosteum was scraped away with a round scalpel to increase adherence of the dental cement. A titanium head-plate with a hole (diameter, 8&#x202F;mm) was then cemented on the skull with a mixture of cyanoacrylate (Loctite 401, Henkel) and dental cement (Paladur, Kulzer). The skull surface was then glazed with a thick layer of cyanoacrylate to support the skull with mechanical, atmospheric and biological protection, while still allowing for visual identification of reference points (bregma and lambda). After the surgery, the animals were placed on a heating pad for recovery, and then housed in individual cages. During the following 7&#x202F;days, the mice were administered with analgesia (Carprofen; 50&#x202F;mg/mL) diluted in drinking water. The animals were then rehoused together to reduce post-surgical isolation.</p>
<p>After recovery from the surgery, the animals were habituated to head fixation on the experimental apparatus for 1&#x202F;week (twice a day for up to 2&#x202F;hours). On the day of the recording, we first placed the subject animal in the recording setup with its head fixed, and determined the electrode penetration path to the target area [optic tract, (&#x2212;1.34, +1.87, +4.74), (&#x2212;1.70, +1.87, +4.74), or (&#x2212;1.82, +2.35, +4.07) in [anterior&#x2013;posterior (AP), medial-lateral (ML), dorsal-ventral (DV)] coordinates; LGN, (&#x2212;2.3, +2.3, +2.8)] using the robotic stereotaxic system (StereoDrive, NeuroStar). The animal was then briefly anesthetized with isoflurane for about 5&#x202F;min, and a hole was drilled around the electrode entry point on the skull. After the removal of the anesthesia, an acute silicon probe (P2, Cambridge Neurotech, <xref ref-type="fig" rid="fig1">Figure 1A</xref>; or Buzsaki32L, Neuronexus, <xref ref-type="fig" rid="fig1">Figure 1F</xref>) coated with a fluorescent dye (DiI stain, Invitrogen, D282) was lowered at 5&#x202F;&#x03BC;m/s using the robotic arm until visual responses were found in the target area. A battery of visual stimuli (see below for details) were then presented for recordings.</p>
<p>After the recording session, the electrode position was verified histologically. After retracting the silicon probe, the mice were anesthetized (2.5% Avertin, 16&#x202F;&#x03BC;L/g, intraperitoneal injection) and perfused with paraformaldehyde (PFA; 4% in phosphate buffer solution), followed by brain tissue harvest and overnight post-fixation in 4% PFA at 4 &#x00B0;C. Coronal sections of the brain tissue (thickness, 100&#x2013;150&#x202F;&#x03BC;m) were then examined under a fluorescence microscope (Leica, LMD7000 with N2.1 filter cube) to visualize the trace left by the DiI stain on the probe (<xref ref-type="fig" rid="fig1">Figures 1A</xref>,<xref ref-type="fig" rid="fig1">F</xref>).</p>
</sec>
<sec id="sec7">
<title>Visual stimulation</title>
<p>Visual stimuli were presented as described before (<xref ref-type="bibr" rid="ref2">Boissonnet et al., 2023</xref>). Briefly, visual stimuli were projected to a spherical screen (radius, 20&#x202F;cm) placed ~20&#x202F;cm from the animal&#x2019;s left eye, covering about a quarter of its visual field (&#x00B1;36.5&#x00B0; and &#x00B1;22&#x00B0; in azimuth and elevation, respectively). A gamma-corrected digital light processing device (Texas Instruments, DLPDLCR3010EVM-LC) was used as a light source, where the green and the red light-emitting diodes (LEDs) were replaced with ultraviolet (UV; 365&#x202F;nm, LZ1-00UV00, LED Engine) and infrared (IR; 950&#x202F;nm, SFH 4725S, Osram) LEDs, respectively. The UV and remaining blue channels were used for visual stimulation (frame rate, 60&#x202F;Hz; maximum intensity, 31&#x202F;mW/m<sup>2</sup>), while the IR signals were recorded with a photodiode (PDA100A2, Thorlabs) for data synchronization. For receptive field (RF) mapping, a black-and-white binary noise stimulus was presented for 15&#x202F;min, consisting of a 32-by-18 pixels checkerboard patterns, where each pixel randomly and independently flickered at 60&#x202F;Hz while keeping the overall luminance of each frame constant at the mean intensity.</p>
</sec>
<sec id="sec8">
<title>Data analysis</title>
<p>We adapted previously established methods of spike sorting and data analysis (<xref ref-type="bibr" rid="ref2">Boissonnet et al., 2023</xref>; <xref ref-type="bibr" rid="ref32">Tripodi and Asari, 2025</xref>). In brief, we used Kilosort 2.0 to sort spikes with a set of default parameters, except for the spike detection threshold to be 6 during optimization. Single-units were then identified by clustering in principal component space using Phy for visualization and manual data curation. Only those units that maintained the average spike waveforms and autocorrelograms with a minimal refractory period of 1&#x202F;ms were kept for subsequent analyses.</p>
<p>For the visual RF analysis, we employed stimulus ensemble statistical techniques (reverse correlation methods; 500&#x202F;ms window; &#x0394;t&#x202F;=&#x202F;1/60&#x202F;s bin size). Specifically, we first obtained the linear spatiotemporal RF of each recorded cell by calculating a spike-triggered average (STA) of the &#x201C;checkerboard&#x201D; stimuli with &#x00B1;1 being &#x201C;white&#x201D; and &#x201C;black&#x201D; for each pixel, respectively. As a quality measure, <italic>p</italic>-value was computed for each voxel against a null hypothesis that the STA follows a normal distribution <italic>N</italic>(0, 1/<italic>C</italic>), where <italic>C</italic> is the total number of spikes. For those with <italic>p</italic>&#x202F;&#x003C;&#x202F;10<sup>&#x2212;5</sup> at any voxel, we ran a singular value decomposition to obtain temporal and spatial filters, respectively, assuming the separability of RGC/LGN spatiotemporal RFs. We then fitted a two-dimensional Gaussian envelope to those spatial filters with a single, distinct and localized feature; and considered the center of the Gaussian as the RF center location (<xref ref-type="fig" rid="fig1">Figure 1</xref>). Single-units with little or no visual responses were excluded as nontarget cells, such as the axons from the parabigeminal nucleus in the OT (<xref ref-type="bibr" rid="ref25">Reinhard et al., 2019</xref>; <xref ref-type="bibr" rid="ref31">Tokuoka et al., 2020</xref>). For the OT recordings, we also applied an RF size threshold of 15&#x00B0; to exclude axons from wide-field cells in the superior colliculus (<xref ref-type="bibr" rid="ref10">Gale and Murphy, 2014</xref>; <xref ref-type="bibr" rid="ref26">Relota et al., 2025</xref>). In total, we obtained 60 ON RGCs (peak latency of the temporal filter, 46&#x202F;&#x00B1;&#x202F;5&#x202F;ms, median &#x00B1; median absolute deviation; RF size, 3.6&#x202F;&#x00B1;&#x202F;0.9&#x00B0;, estimated as the mean of the fitted Gaussian envelope short- and long-axis diameters at 1 <italic>&#x03C3;</italic>), 133 OFF RGCs (51&#x202F;&#x00B1;&#x202F;8&#x202F;ms; 3.5&#x202F;&#x00B1;&#x202F;0.9&#x00B0;), 137 ON LGN cells (46&#x202F;&#x00B1;&#x202F;4&#x202F;ms; 4.7&#x202F;&#x00B1;&#x202F;1.2&#x00B0;), and 155 OFF LGN cells (46&#x202F;&#x00B1;&#x202F;5&#x202F;ms; 4.3&#x202F;&#x00B1;&#x202F;1.0&#x00B0;).</p>
<p>To a first approximation, at short distances, the amplitude of extracellular signals is inversely proportional to the distance between the cell and the probe (<xref ref-type="bibr" rid="ref1">Anastassiou et al., 2015</xref>). We thus considered that the recorded units were physically located nearby if they both had the largest spike waveforms on the same recording site on the probe, whereas distant if they had the largest spike waveforms on different recording sites. Using these criteria, we identified pairs of nearby and distant single-units that were recorded simultaneously (optic tract, 39 and 717 pairs in total, respectively; LGN, 150 and 4,341 pairs in total, respectively), and compared the distance between their RF center locations at the population level using Mann&#x2013;Whitney U-test (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p>
</sec>
<sec id="sec9">
<title>Model analysis</title>
<p>We used Monte Carlo methods to obtain an expected RF distance distribution of nearby cell pairs, given a retinotopy gradient <italic>g</italic>. In particular, we first randomly sampled two points in a sphere, where the radius <italic>r</italic> represents the maximum distance from an extracellular electrode for reliable single-unit recording. If the distance between the two points, <italic>D</italic>, was larger than an exclusion threshold <italic>d</italic> due to a physical mass of neurons, we then estimated the RF distance between two neurons located at those two sampled points as <italic>D&#x202F;&#x00D7;&#x202F;g</italic>. We repeated the procedure 1,000&#x202F;&#x00D7;&#x202F;<italic>n</italic> times to compute the probability distribution function of the estimated RF distance, as well as a 95% confidence interval of the median value (of sample size <italic>n</italic>). For the mouse OT (<italic>n</italic>&#x202F;=&#x202F;39; <xref ref-type="fig" rid="fig2">Figure 2B</xref>), we used <italic>r</italic>&#x202F;=&#x202F;20&#x202F;&#x03BC;m for recording range, <italic>d</italic>&#x202F;=&#x202F;2&#x202F;&#x03BC;m for RGC axon diameter, and <italic>g</italic>&#x202F;=&#x202F;(represented visual field) / (optic tract diameter)&#x202F;=&#x202F;135&#x00B0; / 300&#x202F;&#x03BC;m (<xref ref-type="bibr" rid="ref21">Paxinos and Franklin, 2001</xref>). For the mouse LGN (<italic>n</italic>&#x202F;=&#x202F;150; <xref ref-type="fig" rid="fig2">Figure 2D</xref>), we used <italic>r</italic>&#x202F;=&#x202F;40&#x202F;&#x03BC;m for recording range, <italic>d</italic>&#x202F;=&#x202F;10&#x202F;&#x03BC;m for cell body size, and <italic>g</italic>&#x202F;=&#x202F;0.11&#x00B0;/&#x03BC;m (<xref ref-type="bibr" rid="ref22">Piscopo et al., 2013</xref>).</p>
<p>To run simulations at different retinotopy levels for the mouse OT (<xref ref-type="fig" rid="fig2">Figures 2E</xref>&#x2013;<xref ref-type="fig" rid="fig2">H</xref>), we added noise to the simulated RF locations, drawn from a Gaussian distribution <italic>N</italic>(0, <italic>&#x03C3;</italic><sup>2</sup>) where <italic>&#x03C3;</italic>&#x202F;=&#x202F;1 corresponds to the full range of the represented visual field (135&#x00B0;), or equivalently, the full width of the mouse OT (300&#x202F;&#x03BC;m; <xref ref-type="bibr" rid="ref21">Paxinos and Franklin, 2001</xref>). Simulations were done with <italic>&#x03C3;</italic>&#x202F;=&#x202F;[0, 0.5] in steps of 0.05, as described above except that we randomly sampled two points within the distance <italic>d</italic> from a randomly chosen probe position within the visual stimulation area (73&#x00B0; and 44&#x00B0; in azimuth and elevation, respectively), and eliminated a trial if any cell on those two sampled points had its RF outside the visual stimulation area due to the added jitter. With increasing jitter, the simulated RF distance increased and the topographic map exhibited greater disorganization. To quantify the level of retinotopy, we used Kendall&#x2019;s <italic>&#x03C4;</italic> as a measure of spatial monotonicity, where <italic>&#x03C4;</italic>&#x202F;=&#x202F;0 indicates a random mapping with no retinotopy; and <italic>&#x03C4;</italic>&#x202F;=&#x202F;1 represents a perfect retinotopy. The intersection between the measured and the simulated RF distances was then used to estimate the level of retinotopic organization in the mouse OT.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec10">
<title>Data availability statement</title>
<p>All relevant data and codes are available from Figshare: <ext-link xlink:href="https://doi.org/10.6084/m9.figshare.30850541" ext-link-type="uri">https://doi.org/10.6084/m9.figshare.30850541</ext-link>.</p>
</sec>
<sec sec-type="ethics-statement" id="sec11">
<title>Ethics statement</title>
<p>The animal study was approved by the Institutional Animal Care and Use Committee at European Molecular Biology Laboratory and the Italian Ministry of Health. The study was conducted in accordance with the local legislation and institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="sec12">
<title>Author contributions</title>
<p>MT: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing, Data curation, Methodology. HA: Formal analysis, Project administration, Conceptualization, Validation, Supervision, Methodology, Writing &#x2013; review &#x0026; editing, Investigation, Writing &#x2013; original draft, Funding acquisition, Visualization.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The EMBL Light Imaging Facility is acknowledged for support in histological image acquisition; EMBL IT Support for provision of computer and data storage servers; and the LAR facility for taking care of animals. We thank all the Asari lab members for useful discussions.</p>
</ack>
<sec sec-type="COI-statement" id="sec13">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec14">
<title>Generative AI statement</title>
<p>The author(s) declared that Generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec15">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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</ref-list>
<fn-group>
<fn fn-type="custom" custom-type="edited-by" id="fn0002">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/219293/overview">Jason W. Triplett</ext-link>, Children&#x2019;s National Hospital, United States</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0003">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/847/overview">Martha E. Bickford</ext-link>, University of Louisville, United States</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/415935/overview">Elise Laura Savier</ext-link>, University of Virginia, United States</p>
</fn>
</fn-group>
<fn-group>
<fn fn-type="abbr" id="abbrev1">
<label>Abbreviations:</label>
<p>AP, anterior-posterior; DV, dorsal-ventral; IR, infrared; LED, light emitting diode; LGN, lateral geniculate nucleus; ML, medial-lateral; OT, optic tract; PFA, paraformaldehyde; RF, receptive field; RGC, retinal ganglion cell; STA, spike-triggered average; UV, ultraviolet.</p>
</fn>
</fn-group>
</back>
</article>