Now showing 1 - 6 of 6
  • 2010Journal Article
    [["dc.bibliographiccitation.firstpage","1113"],["dc.bibliographiccitation.issue","6007"],["dc.bibliographiccitation.journal","Science"],["dc.bibliographiccitation.lastpage","1116"],["dc.bibliographiccitation.volume","330"],["dc.contributor.author","Kaschube, Matthias"],["dc.contributor.author","Schnabel, Michael"],["dc.contributor.author","Löwel, Siegrid"],["dc.contributor.author","Coppola, David M."],["dc.contributor.author","White, Leonard E."],["dc.contributor.author","Wolf, Fred"],["dc.date.accessioned","2017-09-07T11:46:14Z"],["dc.date.available","2017-09-07T11:46:14Z"],["dc.date.issued","2010"],["dc.description.abstract","The brain’s visual cortex processes information concerning form, pattern, and motion within functional maps that reflect the layout of neuronal circuits. We analyzed functional maps of orientation preference in the ferret, tree shrew, and galago—three species separated since the basal radiation of placental mammals more than 65 million years ago—and found a common organizing principle. A symmetry-based class of models for the self-organization of cortical networks predicts all essential features of the layout of these neuronal circuits, but only if suppressive long-range interactions dominate development. We show mathematically that orientation-selective long-range connectivity can mediate the required interactions. Our results suggest that self-organization has canalized the evolution of the neuronal circuitry underlying orientation preference maps into a single common design."],["dc.identifier.doi","10.1126/science.1194869"],["dc.identifier.gro","3151861"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/8691"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0036-8075"],["dc.title","Universality in the Evolution of Orientation Columns in the Visual Cortex"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]
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  • 2012Journal Article
    [["dc.bibliographiccitation.issue","6080"],["dc.bibliographiccitation.journal","Science"],["dc.bibliographiccitation.volume","336"],["dc.contributor.author","Keil, Wolfgang"],["dc.contributor.author","Kaschube, Matthias"],["dc.contributor.author","Schnabel, Michael"],["dc.contributor.author","Kisvarday, Zoltan F."],["dc.contributor.author","Löwel, Siegrid"],["dc.contributor.author","Coppola, David M."],["dc.contributor.author","White, Leonard E."],["dc.contributor.author","Wolf, Fred"],["dc.date.accessioned","2017-09-07T11:46:13Z"],["dc.date.available","2017-09-07T11:46:13Z"],["dc.date.issued","2012"],["dc.description.abstract","Meng et al. conjecture that pinwheel density scales with body and brain size. Our data, spanning a 40-fold range of body sizes in Laurasiatheria and Euarchonta, do not support this conclusion. The noncolumnar layout in Glires also appears size-insensitive. Thus, body and brain size may be understood as a constraint on the evolution of visual cortical circuitry, but not as a determining factor."],["dc.identifier.doi","10.1126/science.1206416"],["dc.identifier.gro","3151851"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/8680"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0036-8075"],["dc.title","Response to Comment on \"Universality in the Evolution of Orientation Columns in the Visual Cortex\""],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]
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  • 2007Journal Article
    [["dc.bibliographiccitation.artnumber","346"],["dc.bibliographiccitation.issue","7"],["dc.bibliographiccitation.journal","Society of Neuroscience Abstracts"],["dc.bibliographiccitation.volume","32"],["dc.contributor.author","Schnabel, Michael"],["dc.contributor.author","Kaschube, Matthias"],["dc.contributor.author","Wolf, Fred"],["dc.date.accessioned","2017-11-21T14:00:59Z"],["dc.date.available","2017-11-21T14:00:59Z"],["dc.date.issued","2007"],["dc.description.abstract","It has been proposed that the dynamical stability of topological defects in the visual cortex reflects the Euclidean symmetry of the visual world. We analyze defect stability and pattern selection in a generalized Swift-Hohenberg model of visual cortical development symmetric under the Euclidean group E(2). Euclidean symmetry strongly influences the geometry and multistability of model solutions but does not directly impact on defect stability."],["dc.identifier.arxiv","0801.3832v2"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/10153"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.title","Pinwheel stability, pattern selection and the geometry of visual space"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dspace.entity.type","Publication"]]
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  • 2009Journal Article
    [["dc.bibliographiccitation.artnumber","P64"],["dc.bibliographiccitation.issue","Suppl 1"],["dc.bibliographiccitation.journal","BMC Neuroscience"],["dc.bibliographiccitation.volume","10"],["dc.contributor.author","Schnabel, Michael"],["dc.contributor.author","Kaschube, Matthias"],["dc.contributor.author","White, Leonard E."],["dc.contributor.author","Wolf, Fred"],["dc.date.accessioned","2011-04-15T06:26:42Z"],["dc.date.accessioned","2021-10-11T11:24:55Z"],["dc.date.available","2011-04-15T06:26:42Z"],["dc.date.available","2021-10-11T11:24:55Z"],["dc.date.issued","2009"],["dc.identifier.citation","Schnabel, Michael; Kaschube, Matthias; White, Leonard E; Wolf, Fred (2009): Pattern selection, pinwheel stability and the geometry of visual space - BMC Neuroscience, Vol. 10, Nr. Suppl 1, p. P64-"],["dc.identifier.doi","10.1186/1471-2202-10-S1-P64"],["dc.identifier.gro","3151838"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/6137"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/90532"],["dc.language.iso","en"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1471-2202"],["dc.relation.orgunit","Fakultät für Physik"],["dc.rights","Goescholar"],["dc.rights.access","openAccess"],["dc.rights.uri","http://goedoc.uni-goettingen.de/licenses"],["dc.subject","Pattern selection; pinwheel"],["dc.subject.ddc","530"],["dc.subject.ddc","573"],["dc.subject.ddc","573.8"],["dc.subject.ddc","612"],["dc.subject.ddc","612.8"],["dc.title","Pattern selection, pinwheel stability and the geometry of visual space"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]
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  • 2008Journal Article
    [["dc.bibliographiccitation.artnumber","015009"],["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","New Journal of Physics"],["dc.bibliographiccitation.lastpage","20"],["dc.bibliographiccitation.volume","10"],["dc.contributor.author","Kaschube, Matthias"],["dc.contributor.author","Schnabel, Michael"],["dc.contributor.author","Wolf, Fred"],["dc.date.accessioned","2017-09-07T11:46:16Z"],["dc.date.available","2017-09-07T11:46:16Z"],["dc.date.issued","2008"],["dc.description.abstract","Self-organization of neural circuitry is an appealing framework for understanding cortical development, yet its applicability remains unconfirmed. Models for the self-organization of neural circuits have been proposed, but experimentally testable predictions of these models have been less clear. The visual cortex contains a large number of topological point defects, called pinwheels, which are detectable in experiments and therefore in principle well suited for testing predictions of self-organization empirically. Here, we analytically calculate the density of pinwheels predicted by a pattern formation model of visual cortical development. An important factor controlling the density of pinwheels in this model appears to be the presence of non-local long-range interactions, a property which distinguishes cortical circuits from many non-living systems in which self-organization has been studied. We show that in the limit where the range of these interactions is infinite, the average pinwheel density converges to π. Moreover, an average pinwheel density close to this value is robustly selected even for intermediate interaction ranges, a regime arguably covering interaction ranges in a wide range of different species. In conclusion, our paper provides the first direct theoretical demonstration and analysis of pinwheel density selection in models of cortical self-organization and suggests quantitatively probing this type of prediction in future high-precision experiments."],["dc.identifier.doi","10.1088/1367-2630/10/1/015009"],["dc.identifier.gro","3151875"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/4346"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/8706"],["dc.language.iso","en"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","1367-2630"],["dc.rights","Goescholar"],["dc.rights.uri","https://goescholar.uni-goettingen.de/licenses"],["dc.title","Self-organization and the selection of pinwheel density in visual cortical development"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]
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  • 2006Journal Article
    [["dc.bibliographiccitation.artnumber","545"],["dc.bibliographiccitation.issue","9"],["dc.bibliographiccitation.journal","Society of Neuroscience Abstracts"],["dc.bibliographiccitation.volume","32"],["dc.contributor.author","Kaschube, Matthias"],["dc.contributor.author","Schnabel, Michael"],["dc.contributor.author","Löwel, Siegrid"],["dc.contributor.author","Coppola, David"],["dc.contributor.author","White, Leonard E."],["dc.contributor.author","Wolf, Fred"],["dc.date.accessioned","2017-11-22T07:38:22Z"],["dc.date.available","2017-11-22T07:38:22Z"],["dc.date.issued","2006"],["dc.description.abstract","The organization of orientation columns into pinwheel-like patterns has been observed in a wide variety of animal species including galago, ferret, and tree shrew. These mammals have been separated for more than 50 million years of evolution, occupy different ecological niches, and exhibiting distinct patterns of visual behavior. Consequently, many features of their visual systems differ substantially. Here we show that despite this divergence, basic statistics of the pinwheel pattern are universal in the primary visual cortex of galagos, ferrets, and tree shrews. We analyzed the spatial organization of pinwheels in orientation maps obtained by intrinsic optical imaging using a novel pinwheel analysis method that is robust against noise. In particular, we focused on the pinwheel density, i.e. the mean number of pinwheels per area with linear extent of one column spacing. In 26 tree shrew hemispheres, the average pinwheel density was 3.12 (0.04) [mean (s.e.m.)] with mean pinwheel densities in individual maps ranging from 2.7 to 3.5. In 9 galago hemispheres, pinwheel densities varied comparably with an average of 3.18 (0.09). An average pinwheel density of 3.16 (0.03) was found in a sample of 82 ferret hemispheres with values ranging between 2.0 and 4.0 for individual ferrets. Thus, the average pinwheel density was indistinguishable in the three species. The total average was 3.14 (0.03). The variation among different hemispheres was mainly determined by the typical size of the analyzed regions in the maps. In addition to the density, we observed almost identical nearest neighbor statistics of pinwheels in all three species. Theoretical analyses show that the observed universal statistics are quantitatively reproduced by models of cortical self-organization dominated by long-range interactions. We conclude that the experimentally observed universal pinwheel statistics are emergent signatures of a dominant role of long-range interactions in the self-organization of cortical circuits."],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/10168"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.title","Universal pinwheel statistics in the visual cortex"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]
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