Abstract
The thalamocortical pathway is the main route of communication between the eye and the cerebral cortex. During embryonic development, thalamocortical afferents travel to cortical layer 4 and are sorted by receptive field position, eye of origin and contrast polarity (preference for light or dark stimuli). In primates and carnivores, this sorting involves a large number of afferents most of which sample a limited region of the binocular field. Devoting abundant thalamocortical resources to process a limited visual field has a clear advantage: it allows sampling a large number of stimulus combinations at each spatial location. Moreover, the sampling efficiency can be further enhanced by organizing the afferents in a cortical grid for eye input and contrast polarity. We argue that thalamocortical interactions within this eye/polarity grid can be used to represent multiple stimulus combinations found in nature and build an accurate cortical map for multi-dimensional stimulus space.
Keywords: thalamus, visual cortex, thalamocortical, cortical map, receptive field, visual development
INTRODUCTION
The primary visual cortex (area V1) receives its main sensory input from the dorsal Lateral Geniculate Nucleus (LGN) of the thalamus. During thalamocortical development, the geniculate afferents become densely packed within cortical layer 4, forming a rich functional network that can be used to build a precise map of stimulus space. It has been known for many decades that thalamic afferents are arranged in visual cortex based on retinotopy (retinal location of the stimulus) and eye input (Daniel & Whitteridge 1961, Hubel & Wiesel 1972). However, processing visual stimuli not only requires knowing the location of a stimulus within each retina but also knowing the light/dark polarity and orientation of the different stimulus parts. Both light/dark polarity (Kremkow et al 2016, Lee et al 2016, Smith et al 2015, Wang et al 2015) and stimulus orientation (Bonhoeffer & Grinvald 1991, Hubel & Wiesel 1962, Obermayer & Blasdel 1993) are systematically mapped in the primary visual cortex of carnivores as are other stimulus dimensions such as spatial frequency (Hubener et al 1997, Issa et al 2000, Yu et al 2005), retinal disparity (Kara & Boyd 2009), and direction of motion (Shmuel & Grinvald 1996, Weliky et al 1996). The cortical map for stimulus orientation has been studied in great detail (Bonhoeffer & Grinvald 1991, Hubener et al 1997, Kaschube et al 2010, Obermayer & Blasdel 1993), however, its relations with the maps for other stimulus dimensions remain unclear (Bosking et al 2002, Das & Gilbert 1997, Hubener et al 1997, Nauhaus et al 2016, Nauhaus et al 2012, Yu et al 2005). Recent work suggests that the maps for all stimulus dimensions have a common origin: the thalamocortical network (Erwin & Miller 1998, Jin et al 2011b, Jin et al 2008, Kremkow et al 2016, Nauhaus & Nielsen 2014, Paik & Ringach 2011, Wang et al 2015). This common origin should generate systematic relations across the maps for different stimulus dimensions, which can be experimentally tested. Here, we review our current understanding of the geniculocortical network within layer 4 of area V1 and its relations with the visual cortical topography for the different stimulus dimensions.
GENICULOCORTICAL CIRCUITS AND CORTICAL RECEPTIVE FIELDS
Each V1 neuron in layer 4 receives input from a limited number of thalamic afferents that shape the geometry of the cortical receptive field. This section reviews the organization of the main geniculocortical pathways converging on cortical layer 4 and the geniculocortical circuits involved in receptive field construction. The geniculocortical pathway also projects to other cortical layers (Callaway 1998, Casagrande & Xu 2004, Chatterjee & Callaway 2003, Sherman & Guillery 1996), however, these projections are usually weaker (Sherman & Guillery 1998) and are beyond the scope of this review.
Functional organization of geniculocortical pathways
The human eyes have an average axial length of 24 mm (Hitzenberger 1991) with an average separation of 63 mm (Dodgson 2004). The eye separation varies as a function of age, gender and race by as much as 36 mm (44 to 80 mm), although the range in most adults is from 50 and 75 mm (Dodgson 2004). This eye separation provides humans with a horizontal visual field of 220 degrees, which extends 110 degrees temporally (Traquair 1938) and overlaps nasally 120 degrees (Figure 1, top). The field of view in humans is considerably smaller than the nearly panoramic view of other animals such as rabbits, which can cover 350 degrees (Hughes 1971). Moreover, the visual field of primates is further restricted by a pronounced retinal bias towards central vision. For example, 30% of all retinal ganglion cells in squirrel monkeys are located within the central 8 degrees and 90% are located within the central 50 degrees (Adams & Horton 2003b).
Such pronounced dedication of retinal resources to central vision is common in primates and carnivores. In these animals, the majority of retinal ganglion cells project to the LGN (Figure 1, bottom), leaving only a minority to target other subcortical structures (Bunt et al 1975, Illing & Wassle 1981, Perry & Cowey 1984). This strong retinal bias towards the LGN projection further reflects the pronounced dedication of primates and carnivores to central vision, which is important to process visual detail. For comparison, the majority of retinal ganglion cells in the mouse project to the superior colliculus (Ellis et al 2016) and other subcortical structures that are important for visual navigation but not high-resolution vision (Dhande et al 2015). As evolutionary pressure for binocular vision increases, the angle between the visual axes of the eyes decreases, the binocular field becomes larger and the percentage of retinal ganglion cells projecting to the LGN also increases (Figure 2a). The increase in the number of retinogeniculate connections is associated with an increase in the number of geniculate afferents and the V1 area available to accommodate them. Importantly, the size of area V1 does not increase linearly with the number of afferents but exponentially (Mazade & Alonso 2017, Stevens 2001), which leads to an overexpansion of the cortical space (Figure 2b–c) available to sort the different afferent types (Mazade & Alonso 2017).
The afferents from the retina to LGN are organized in two main streams that signal different contrast polarities of the stimulus, light and dark. The ON pathway responds to light increments (light ON) and the OFF pathway to light decrements (light OFF). Each of these pathways split in three other parallel pathways that differ in spatial resolution, temporal resolution, contrast sensitivity and conduction velocity among other properties. These retinal pathways, called Parvocellular, Magnocellular and Koniocellular in primates, and X, Y and W in cats (Casagrande & Xu 2004, Chatterjee & Callaway 2003, Enroth-Cugell & Robson 1966, Hendry & Reid 2000), remain segregated in LGN and form separate geniculocortical pathways that also segregate through the depth of the cortex. The Parvocellular/Magnocellular/Koniocellular pathways in primates are far from being the functional equivalent to the X/Y/W pathways in cats (Kaplan & Shapley 1982), however, they have similar laminar projections in visual cortex. The Parvocellular/X pathway projects most densely to the bottom of layer 4, the Magnocellular/Y to the top of layer 4 and the Koniocellular/W to layer 3 and the top of layer 4 (Blasdel & Lund 1983, Chatterjee & Callaway 2003, Gilbert & Wiesel 1979, Humphrey et al 1985). Unlike the Parvocellular/X, Magnocellular/Y and Koniocellular/W pathways, the ON and OFF visual pathways are well preserved across all animals with form vision, from invertebrates to humans (Dacey & Petersen 1992, Joesch et al 2010). Moreover, just as for retinotopy and eye input, ON and OFF afferents segregate horizontally in the visual cortex of carnivores (Jin et al 2008, McConnell & LeVay 1984, Zahs & Stryker 1988) and probably also primates (Kremkow et al 2016).
The geniculocortical pathways of humans, macaques and cats share several important features. They all show a strong bias towards central vision, sample a limited horizontal visual field and an extensive binocular field, and ~90% of their V1 areas are used to process binocular vision. Due to the pronounced cortical magnification of central vision, each square millimeter of cortex can accommodate hundreds of geniculate afferents with the same retinotopy in these animals. Consequently, the afferents with the same retinotopy can be sorted by eye input and contrast polarity to sample a large number of eye/polarity stimulus combinations (Kremkow et al 2016). Because neurons with similar properties are more likely to be interconnected (Bosking et al 1997, Cossell et al 2015, Gilbert & Wiesel 1989, Ko et al 2011) and share inputs and targets (Alonso et al 1996, Morgenstern et al 2016), total axon length can be minimized by keeping neurons and afferents with similar properties close together in cortical space (Cajal 1995, Chklovskii et al 2002, Mitchison 1991). In cat visual cortex, the geniculate afferents are arranged in an eye/polarity grid that can be used to build cortical maps for multiple stimulus dimensions (Jin et al 2011b, Kremkow et al 2016, Wang et al 2015). We hypothesize that this eye/polarity grid is also present in the visual cortex of other animals with a strong bias towards central binocular vision. Consistent with this hypothesis, the sorting of geniculate afferents by eye input has been demonstrated in the visual cortex of tree shrews (Kretz et al 1986), ferrets (Law et al 1988), cats (Anderson et al 1988), macaques (Hubel & Wiesel 1972) and humans (Horton & Hedley-Whyte 1984), and the sorting by contrast polarity has been demonstrated in the visual cortex of tree shrews (Hubel 1975, Kretz et al 1986), minks (McConnell & LeVay 1984), ferrets (Zahs & Stryker 1988), cats (Jin et al 2008), and is probably also present in macaques (Kremkow et al 2016). In most of these animals, the thalamic afferents are sorted by eye input and contrast polarity through the horizontal dimension of visual cortex. In tree shrews, the sorting is done through the vertical dimension of layer 4 (e.g. ON afferents at the top of OFF afferents), for reasons that remain unclear. Interestingly, unlike rodents, cats and primates, the thalamic terminals in tree shrews have an extremely thin elliptical shape, with the ellipse major axis being almost an order of magnitude longer than the shortest axis. Because of this unusual shape and arrangement, we have previously suggested that the packing of thalamic afferents in tree shrew cortex may provide the best compromise between the need for binocular vision and the limited cortical space available to accommodate the afferents in a small brain (Mazade & Alonso 2017).
Development of geniculocortical pathways
The thalamic afferents to visual cortex are sorted during embryonic development through mechanisms that are still poorly understood. In humans, cortical neurons are born in the wall of the lateral ventricle around 6-18 weeks of gestation (Rakic 1995) at an outstanding rate of 225,000 neurons per minute (Uylings 2001). The newborn neurons start migrating through radial glial fibers towards the brain surface (marginal zone) forming an intermediate zone of migration and a primordial layer of polymorphic neurons (Marin-Padilla 1971). This primordial layer then splits into two tiers (Figure 3a): a cortical plate that will become the mature cortex and a transitory subplate that plays a major role in guiding the thalamocortical innervation (Allendoerfer & Shatz 1994, Hoerder-Suabedissen & Molnar 2015). The thalamic afferents accumulate in the subplate until the newborn cortical neurons reach cortical layer 4 (Figure 3b), a temporal period that lasts just three days in rats (Lund & Mustari 1977) but extends to several weeks in cats and primates (Rakic 1977, Shatz & Luskin 1986). The prolonged period that the thalamic afferents spend in the subplate seems ideal to build a primordial map of stimulus space through thalamic afferent sorting. Consistent with its important role in afferent sorting, sensory maps cannot properly develop when the subplate is ablated (Kanold & Shatz 2006).
Axon interactions within the optic radiation also play a major role in afferent sorting (Reese & Cowey 1988). The growth cones of cat geniculate afferents are more elaborate as they travel through the optic radiations at embryonic day 30 (Figure 3c) than when they start growing towards their specific targets at embryonic day 60 (Figure 3d, (Ghosh & Shatz 1992)), as is also the case for retinal afferents traveling within the optic nerve (Bovolenta & Mason 1987). In their journey through the optic radiations, the geniculate afferents are continuously remodeling their paths and often send collaterals to nonvisual areas (e.g. auditory cortex) that are later removed (Ghosh & Shatz 1992). When they finally reach layer 4, the afferents start branching rapidly (Figure 3e) to form the dense and highly localized axonal arbor typical of the adult cortex (Figure 3f).
Afferent sorting by retinotopy and eye input
The sorting of retinal afferents by retinotopy and eye input in LGN is guided by a combination of molecular cues and spontaneous neuronal activity (Seabrook et al 2017). The retinal afferents from each eye originate in different half-retinas (nasal or temporal) and, therefore, a retinal gradient of ephrins can control the position and shape of the LGN layers (Huberman et al 2005b). In cat LGN, retinal afferents from the contralateral eye arrive three days earlier than afferents from the ipsilateral eye (embryonic days 32 and 35) and afferent convergence makes most geniculate cells binocular (Shatz 1983, Shatz & Kirkwood 1984). Around embryonic day 47, the afferents start segregating (Shatz 1983) and each geniculate neuron loses the inputs from one eye while strengthening the inputs from the other (Shatz & Kirkwood 1984). The segregation of retinal afferents by eye input occurs even earlier in primates and is complete around the second trimester of gestation in both macaques and humans (Hevner 2000, Huberman et al 2005a, Rakic 1976).
The sorting of geniculate afferents by retinotopy is also guided by a gradient of ephrins in mouse visual cortex (Cang et al 2005) and is followed by a segregation by eye input that is heavily dependent on neuronal activity (Crair et al 1998, Crowley & Katz 1999, LeVay et al 1978, Rakic 1976, Ruthazer et al 1999). While the precise temporal windows for eye-input segregation remain unknown, the afferents from contralateral and ipsilateral eyes are already segregated three weeks before birth in macaques (Rakic 1976) and two weeks after birth in cats (LeVay et al 1978). The late segregation of geniculate afferents by eye input provides an excellent opportunity for visual experience to fine tune the geniculocortical network underlying the cortical map of visual space (Adams et al 2007, Hubel et al 1977, Wiesel & Hubel 1963).
Afferent sorting by ON-OFF contrast polarity
Retinal afferents segregate by ON-OFF contrast polarity later than by eye input (Speer et al 2010), and the ON-OFF segregation is likely to occur simultaneously in retina, LGN and visual cortex. In the retina, the dendrites from ON and OFF retinal ganglion cells are mixed within the inner plexiform layer at early stages of development and segregate very slowly after. In cats, the segregation process starts 2 weeks before birth and can take several months to be completed (Bodnarenko et al 1995). If the ON pathway is inactivated during this period (e.g. one month after birth), the number of retinal ganglion cells with mixed ON and OFF responses increases (Bisti et al 1998).
ON and OFF retinal afferents segregate in different sublayers of LGN in ferrets (Stryker & Zahs 1983), tree shrews (Conway & Schiller 1983), minks (LeVay & McConnell 1982), cats (Berman & Payne 1989, Bowling & Wieniawa-Narkiewicz 1986) and macaques (Schiller & Malpeli 1978). In all these animals, OFF afferents are in layers/sublayers closer to the optic tract than ON afferents for reasons that remain unclear. In ferrets, the segregation of retinal afferents by ON-OFF polarity starts 10 days after the segregation by eye input (20 days after birth) and takes 5 days to be completed (Figure 4) (Speer et al 2010).
While many questions remain about the process of ON-OFF segregation in visual cortex (Hubel 1975, Jin et al 2008, Kremkow et al 2016, Kretz et al 1986, Zahs & Stryker 1988), its temporal sequence is likely to follow the afferent segregation in LGN: retinotopy eye input ON-OFF polarity (Figure 4). OFF afferents may also arrive earlier to the visual cortex than ON afferents since most cortical responses are OFF dominated at early postnatal stages of development in cats (Albus & Wolf 1984). While the precise temporal windows for ON-OFF cortical segregation remain unknown, the process is likely to be slow since the ON-OFF segregation can last several months in the cat retina (Bodnarenko et al 1995) and the binocular matching of contrast polarity is also a slow developmental process in mouse visual cortex (Sarnaik et al 2014). The slow process for ON-OFF cortical segregation provides another excellent opportunity for visual experience to fine tune the geniculocortical network and the cortical map of stimulus space.
Geniculocortical circuits and cortical receptive fields
Each layer 4 neuron receives convergent input from a small number of geniculate afferents that has been estimated to range between 20 to 50 in cat visual cortex (Alonso et al 2001, Freund et al 1985, Jin et al 2011b, Peters & Payne 1993, Stanley et al 2012). The geniculocortical connections made by this subset of afferents are very specific for retinotopy, eye input and contrast polarity. ON geniculate inputs from each eye are retinotopically aligned with the ON subregions of each layer 4 cortical receptive field and OFF geniculate inputs with the OFF subregions (Alonso et al 1996, Alonso et al 2001, Reid & Alonso 1995, Sedigh-Sarvestani et al 2017, Tanaka 1985). In addition, geniculate afferents with the same retinotopy and contrast polarity share input from the same retinal afferent (Alonso et al 1996), providing the entire retino-geniculo-cortical network with exquisite connection specificity (Figure 5a). Such connection specificity is important to maximize the spatial resolution of the visual system and to build receptive fields with parallel ON and OFF subregions that make cortical cells orientation selective (Alonso et al 2001, Ferster 1987, Ferster et al 1996, Hirsch et al 1998, Hubel & Wiesel 1962, Lien & Scanziani 2013, Reid & Alonso 1995).
The geniculocortical specificity is lower for inhibitory than excitatory neurons, making cortical inhibition less selective but more sensitive to stimuli than cortical excitation (Alonso & Swadlow 2005, Sedigh-Sarvestani et al 2017). The same difference in specificity between excitatory and inhibitory neurons is found in intracortical connections. Intracortical excitatory connections link cells with similar response properties (Bosking et al 1997, Cossell et al 2015, Gilbert & Wiesel 1989, Ko et al 2011) and often share common geniculate inputs (Morgenstern et al 2016). In contrast, intracortical inhibitory connections are less selective (Karnani et al 2014) and can be linked by electrical gap junctions with poor connection specificity (Fukuda et al 2006). Thus, the entire geniculocortical network is organized in clusters of afferents and cortical targets that share similar response properties and reserve the highest connection specificity for cortical excitation.
The connection specificity of the geniculocortical network is facilitated in great part by the local sorting of geniculate afferents within the cortex. Geniculate afferents making monosynaptic connections within the same cortical column share the same retinotopy and eye input. However, their ON and OFF receptive fields overlap extensively while representing the same point in visual space (Figure 5b, left). This prioritization of retinotopy in afferent sorting helps maximize visual resolution and provides each cortical column with enough diversity of ON and OFF receptive field positions (Figure 5b, middle) to represent multiple combinations of light and dark stimulus arrangements. At the same time, the population receptive field of the geniculate afferents (ON-OFF average) is strongly biased towards a specific orientation and ON-OFF geometry (horizontal, ON-flanked-by-OFF in Figure 5b, right). This bias creates clusters of cortical neurons with receptive fields sharing dominant subregions of similar retinotopy and contrast polarity (e.g. ON-dominant subregion centered at the intersection of dotted lines in figure 5c). Moreover, because the ON and OFF geniculate afferents cluster in cortical space (Jin et al 2008), the ON-OFF dominance of the cortical receptive fields changes through the horizontal axes of the visual cortex. In regions dominated by OFF afferents, ON receptive fields tend to rotate around OFF receptive fields (as in the example from Figure 5d), and in regions dominated by ON afferents, OFF receptive fields tend to rotate around ON receptive fields. This receptive field rotation within the geniculocortical network is likely to play an important role in generating cortical maps for stimulus orientation.
GENICULOCORTICAL CIRCUITS AND CORTICAL MAPS
The horizontal organization of the geniculocortical network provides a rich substrate to map multiple stimulus dimensions within the cortex that include not only retinotopy and eye input but also light/dark polarity, stimulus orientation, direction, retinal disparity and spatial frequency. This section reviews the functional organization of the cortical maps for different stimulus dimensions and their relation with the horizontal organization of the geniculocortical network.
Cortical map for retinotopy
Probably the most important dimension to map in visual cortex is the retinal position of the stimulus. Humans, macaques and carnivores devote a large portion of their V1 areas to map the central retina, with a nearly equal split between upper and lower visual fields (Figure 6a–b, e–f). This retinotopic arrangement reflects the importance of high-resolution vision at the center of gaze in these animals. In contrast, the smaller V1 areas of rabbits and mice are used to map a much larger portion of the visual field with a heavy bias towards the upper half, as most predators approach these animals from above (Figure 6c–d, g–h). The differences in cortical retinotopy across animals is strongly determined by the density of retinal afferents sampling different parts of the visual field (Adams & Horton 2003b, Azzopardi & Cowey 1993), which is replicated by the density of geniculate afferents (Azzopardi & Cowey 1996). The highest density is at the center of gaze in humans (Curcio & Allen 1990), macaques (Adams & Horton 2003b) and cats (Hughes 1975), and at the retinal region aligned with the visual horizon (horizontal streak) in rabbits and mice (Drager & Olsen 1981, Hughes 1971). These retinotopic maps provide clear examples of how the geniculocortical network builds a cortical map of visual space by closely replicating and further amplifying sampling asymmetries that are already present at the retina (Adams & Horton 2003b, Azzopardi & Cowey 1993, Azzopardi & Cowey 1996).
Cortical map for ocular dominance
A second important dimension to map in visual cortex is eye input. In animals with a limited binocular field, the afferents from the contralateral eye are more numerous, have better spatial resolution (Salinas et al 2017) and spread less within the cortex (Raczkowski & Fitzpatrick 1990) than the afferents from the ipsilateral eye. As the afferents from the ipsilateral eye increase in number and start covering a larger cortical territory, they also start segregating. The importance of afferent number for ocular-dominance segregation has been clearly demonstrated in the optic tectum of frogs and fishes. The optic tectum normally receives input from only one eye, however, when retinal afferents from two eyes are forced within the same tectum, they segregate in different eye domains (Boss & Schmidt 1984, Constantine-Paton & Law 1978). The importance of ipsilateral cortical spread for ocular-dominance segregation has been demonstrated in rodents. As the afferents from the ipsilateral eye start covering a larger cortical territory, a rudimentary segregation for ocular dominance emerges in both mutant mice (Merlin et al 2013) and certain types of rats (Laing et al 2015). Finally, in animals that devote most of their cortex to binocular vision, the ratio between contralateral/ipsilateral axonal projections approaches equality although still showing a bias towards the contralateral eye (Adams et al 2007, Anderson et al 1988, Shatz & Stryker 1978). The magnitude of ocular dominance segregation in binocular cortex can vary greatly across animals, even within the same species (Adams & Horton 2003a), probably reflecting variations in the number of afferents and amount of cortical area available to accommodate them.
The afferent segregation by eye input splits the map of cortical retinotopy into two intercalated copies, one for each eye. At the same time, asymmetries in cortical retinotopy distort the cortical map for ocular dominance (Blasdel & Campbell 2001, Hubel & Wiesel 1977, Tootell et al 1988, Van Essen et al 1984). Asymmetries in cortical retinotopy can explain why ocular dominance columns take different shapes in different animals and why ocular dominance columns tend to run perpendicular to the border between areas V1 and V2 in macaques and humans (Figure 7a,b, (Adams et al 2007, Blasdel & Campbell 2001)). Because retinotopy changes continuously across the cortex (Bosking et al 2002, Kremkow et al 2016), maximizing the retinotopy binocular match requires aligning the width ocular dominance bands along the cortical axis with the slowest retinotopy change. The cortical axis with the slowest retinotopic change is the axis with the largest magnification factor (i.e. the axis that devotes more cortical area to represent one degree of visual field, (Daniel & Whitteridge 1961)). Because the cortical magnification factor is 1.6 times greater along the length than the width of the V1/V2 border in macaques (Blasdel & Campbell 2001, Tootell et al 1988, Van Essen et al 1984), the ocular dominance bands become perpendicular to this border. Consistent with this interpretation, the main axis of the ocular dominance bands tends to be perpendicular to the cortical axis with the largest magnification factor in macaques, and the angle between both is tightly constrained within 60-90 degrees (Blasdel & Campbell 2001). Also consistent with this interpretation, ocular dominance bands are parallel in cortical regions with strong magnification asymmetries but break apart in regions with smaller asymmetries (Blasdel & Campbell 2001). Finally, primates and carnivores with limited asymmetries in cortical magnification do not show ocular dominance bands running perpendicular to the V1/V2 border or show a much weaker trend (Anderson et al 1988, Blasdel & Campbell 2001, Schmidt et al 2002, Takahata et al 2014).
Although not previously reported (Humphrey et al 1985), the main axes of geniculate axonal arbors also show a strong tendency to run perpendicular to the V1/V2 border in cat area V1 (Figure 7c–e). This tendency matches the cortical retinotopic asymmetries in this animal (e.g. greater magnification along the width than the length of the V1/V2 border, particularly within the lower visual field, Figure 6f). Importantly, the axon arbors showing the largest length/width ratios in cat area V1 (Figure 7c–d) tend to split in patches to accommodate ocular dominance columns, as in macaques (Blasdel & Lund 1983). Therefore, regardless of differences in cortical retinotopy across animals, the width of the ocular dominance columns tends to be aligned with the cortical axis of largest magnification factor, probably to maximize the binocular match in cortical retinotopy. Consequently, asymmetries in visual sampling within the retina shape not only the retinotopic map but also the ocular dominance map in visual cortex.
Cortical map for light/dark polarity
A third dimension that needs to be mapped in visual cortex is the light-dark polarity of the stimulus. This map is likely to be particularly important in animals that need to discriminate different stimulus patterns of lights and darks in addition to the stimulus position. Having an accurate map of light-dark polarity requires splitting the retinotopic map not only into two but four separate copies, two for each eye and two for each polarity. Because afferents with similar retinotopy share similar cortical space, the four afferent types can be organized in an eye/polarity grid within the cortex. In cat visual cortex (Kremkow et al 2016), eye input changes every ~0.5 mm along the eye axis of the grid and polarity changes also every ~0.5 mm along the polarity axis (Figure 8). Therefore, ~1 mm2 of cortex can represent most combinations of eye input and polarity for each position of visual space. Importantly, because retinotopy changes slowly within the cortex at a rate of 0.5 receptive field centers per mm, all neurons within a ~1 mm2 can represent the same point of visual space (Kremkow et al 2016). The same point is covered by cortical receptive field centers at the center of the ~1 mm2 surface and by half receptive field centers at the edge. The slow retinotopy progression through the eye/polarity grid avoids the need for abrupt retinotopy jumps at the ocular dominance border, as originally proposed by Hubel and Wiesel (Hubel & Wiesel 1977). Moreover, by aligning the eye/polarity axes with the slowest/fastest retinotopic gradients of the cortical map, the eye/polarity grid maximizes both the binocular retinotopic match and the ON-OFF retinotopy separation needed to generate selectivity to stimulus orientation.
The eye polarity grid does not represent equally the four types of afferents. Just as there is a cortical bias towards the contralateral eye, there is also a bias towards OFF geniculate afferents. OFF cortical responses are stronger, have better spatiotemporal resolution and show less spatial scatter in cortical retinotopy than ON cortical responses (Jin et al 2011a, Jin et al 2011b, Jin et al 2008, Komban et al 2014, Kremkow et al 2014, Kremkow et al 2016, Lee et al 2016, Wang et al 2015, Xing et al 2010, Yeh et al 2009, Zemon et al 1988). These ON-OFF asymmetries make the cortical map OFF dominated (OFF responses are stronger) and OFF centric (OFF retinotopy is more precise). ON-OFF cortical asymmetries in spatial resolution could be the result of the neuronal blur caused by the luminance/response saturation within the ON pathway (Kremkow et al 2014). Because this neuronal blur is likely to originate at the photoreceptor, it can also explain ON-OFF spatial asymmetries in the retina (Chichilnisky & Kalmar 2002, Dacey & Petersen 1992, Wassle et al 1981). Therefore, just as for retinotopy and ocular dominance, the cortical map for light-dark polarity replicates and amplifies asymmetries in visual sampling that are already present at the retina.
The eye/polarity grid and the multi-dimensional map of stimulus space
The eye/polarity grid (Figure 9a) formed by the geniculocortical network provides the seed to build cortical maps for multiple stimulus dimensions that include not only retinotopy, eye input and contrast polarity but also orientation, direction, retinal disparity and spatial frequency. Given their common origin, the gradients for the different stimulus dimensions should show systematic relations that can be experimentally tested. Some of these predicted relations are briefly discussed here and are currently being tested in our laboratories.
Multiple systematic relations should emerge from variations in ON-OFF response balance across the cortex. Because the centers of ON and OFF cortical domains are dominated by one afferent type, they should show the weakest ON-OFF response antagonism within the cortical map. In turn, the weak ON-OFF antagonism should make neurons responsive to a wide variety of stimulus orientations and spatial frequencies (Figure 9b, red and blue). By comparison, the cortical regions surrounding the centers of ON and OFF domains have more balanced ON and OFF afferent numbers, which should make the ON-OFF response antagonism stronger. In turn, the stronger ON-OFF antagonism should make cortical neurons more selective for orientation and spatial frequency (Figure 9b, green) while increasing their spatial resolution by narrowing the ON and OFF receptive field subregions (Figure 9b, right, green). These variations in ON-OFF response balance should generate strong correlations between orientation and spatial frequency tuning across the cortex. In addition, they should reserve the highest stimulus selectivity and spatial resolution for regions with the highest ON-OFF balance, which are at the borders of ocular dominance columns and ON-OFF domains (Figure 9b, right, green).
Changes in ON and OFF retinotopy should also be associated with changes in orientation and direction preference across the cortical map (Figure 9c, (Kremkow et al 2016)). Because the contrast polarity remains constant along the eye axis of the grid (Figure 9a), the monocular receptive fields of binocular neurons should have dominant subregions of the same polarity (Erwin & Miller 1998, Kremkow et al 2016, Sarnaik et al 2014, Wang et al 2015). Consequently, the retinal disparity of binocular neurons should emerge mostly from variations in the position of non-dominant receptive field subregions at the border of ocular dominance columns (Kremkow et al 2016). Moreover, because the cortical map is OFF dominated and OFF-centric, the most accurate mapping of spatial position and retinal disparity should be provided by OFF-dominated receptive fields, making spatial resolution and binocular vision higher for darks than lights to sample more efficiently the predominance of dark features in natural scenes (Cooper & Norcia 2015, Ratliff et al 2010). Finally, the functional map originating from variations in ON-OFF response balance should be further amplified and refined by the recurrent cortical network (Koch et al 2016). At regions strongly dominated by ON or OFF afferents, recurrent cortical excitation should reduce orientation selectivity, response suppression and increase luminance/response linearity, making these regions more effective at discriminating light-dark patterns with multiple orientations. At cortical regions with more balanced ON and OFF afferents, recurrent cortical excitation should increase orientation selectivity, cross-orientation suppression and contrast sensitivity, making these regions more effective at detecting moving borders (Koch et al 2016). In summary, sampling asymmetries already present at the retina are replicated and amplified by the geniculocortical network, and further refined by the intracortical network.
General implications of thalamocortical organization
The sorting of geniculate afferents by retinotopy, eye input and contrast polarity could be just one example of a common principle in thalamocortical organization. The thalamocortical network represents the most relevant stimulus dimensions for each sensory modality within the cortex (e.g. visual space, body surface, sound frequency). As the size of the thalamocortical network increases during evolution, the larger number of afferents representing different sensory modalities may force the cortical map to split in regions representing separate stimulus dimensions to form a multi-dimension grid of stimulus space. This grid can then help to combine different stimulus dimensions more efficiently and magnify the combinations that are most behaviorally relevant such as central vision, the contralateral eye and dark stimuli in carnivores and primates. A precise reconstruction of the thalamocortical network will be important in the future to understand the functional architecture of the visual cortex and the cortical substrate of visual deficits. Just as accurate geographical maps were essential for world exploration, a precise reconstruction of visual cortical topography will be essential to understand visual function and visual disease.
SUMMARY POINTS.
The increase in the number of geniculate afferents during evolution is associated with an overexpansion of the cortical area available to accommodate them. This overexpansion allows sorting afferents by multiple stimulus dimensions within the cortex.
Afferent sorting follows a temporal sequence that starts with retinotopy followed by eye input and light-dark polarity. This sequence has important functional implications as it should make the segregation for light-dark polarity the most strongly affected by visual experience.
Geniculate afferents with different eye input and contrast polarity are organized in an eye/polarity grid within the carnivore cortex, which allows representing multiple eye/polarity combinations for each point of visual space.
The eye/polarity grid provides a general framework to build a cortical map for multiple stimulus dimensions that represents some stimulus combinations better than others. Because the maps for all dimensions have a common origin, the different dimension gradients within the cortical map should show predictable relations that can be experimentally tested.
FUTURE ISSUES.
How are different stimulus patterns represented in visual cortex? Research over the past decades revealed maps for individual stimulus dimensions. However, we need a better understanding of how the different stimulus dimensions and stimulus patterns are combined within the cortical map.
We need to improve the accuracy of our visual cortical maps both at the level of the thalamocortical and intracortical networks. More accurate maps will lead to a better understanding of visual function and cortical deficits. The cortical substrate of some visual disorders may remain unknown due to the coarseness of our current cortical maps.
We need better tools to refine our measures of cortical topography. New multielectrode arrays and imaging methods hold great promise but still need to circumvent important technical limitations.
ACKNOWLEDGEMENTS
This work was supported by US National Institutes of Health grants EY005253 and EY027361 (JMA) and DFG (Emmy-Noether grant KR 4062/4-1, J.K.). We thank Mario Carta for his drawings to illustrate Figure 6 and Marty Usrey, Carla Shatz, Andrew Huberman, Colenso Speer, and Jonathan Horton for sending us original images from their work to illustrate Figures 1, 3, 4 and 7.
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