The influence of restricted orientation rearing on map structure in primary visual cortex

Giacomantonio, Clare E.; Ibbotson, M.; Goodhill, Geoffrey J.

doi:10.1016/j.neuroimage.2009.12.066

Cited by 10 publications

(16 citation statements)

References 58 publications

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“…From prior work, the coverage continuity compromise appears to be a promising candidate for a principle to explain visual cortical functional architecture. Firstly, many studies have reported good qualitative agreement between the layout of numerically obtained dimension reducing maps and experimental observations [19,21,42,[55][56][57][59][60][61][62][63][64][65][66][67][68][69][70][71]. Secondly, geometric relationships between the representations of different visual features such as orientation, spatial frequency and ocular dominance have been reproduced by dimension reduction models [25, 56, 63-65, 68, 72, 73].…”

Section: Introductionmentioning

confidence: 88%

“…In the following, we assume that the stimulus ensemble satisfies three properties: These conditions are fulfilled by stimulus ensembles used in virtually all prior studies of dimension reduction models for visual cortical architecture (e.g. [19,21,25,64,65,71,72,[80][81][82]…”

Section: Model Definition and Model Symmetriesmentioning

confidence: 99%

“…(46) is equivalent to the energy functional of the continuum formulation Eq. (1) for β = ηN and S implementing the discretized Laplacian operator in two dimensions.Following[62][63][64][65]71] we minimized the EN energy function Eq. (1) by an iterative deterministic annealing algorithm, starting with a minimization for large σ and tracking this minimum to a small value of σ.…”

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confidence: 99%

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Coverage, continuity, and visual cortical architecture

Keil

Wolf

2011

Neural Syst Circ

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BackgroundThe primary visual cortex of many mammals contains a continuous representation of visual space, with a roughly repetitive aperiodic map of orientation preferences superimposed. It was recently found that orientation preference maps (OPMs) obey statistical laws which are apparently invariant among species widely separated in eutherian evolution. Here, we examine whether one of the most prominent models for the optimization of cortical maps, the elastic net (EN) model, can reproduce this common design. The EN model generates representations which optimally trade of stimulus space coverage and map continuity. While this model has been used in numerous studies, no analytical results about the precise layout of the predicted OPMs have been obtained so far.ResultsWe present a mathematical approach to analytically calculate the cortical representations predicted by the EN model for the joint mapping of stimulus position and orientation. We find that in all the previously studied regimes, predicted OPM layouts are perfectly periodic. An unbiased search through the EN parameter space identifies a novel regime of aperiodic OPMs with pinwheel densities lower than found in experiments. In an extreme limit, aperiodic OPMs quantitatively resembling experimental observations emerge. Stabilization of these layouts results from strong nonlocal interactions rather than from a coverage-continuity-compromise.ConclusionsOur results demonstrate that optimization models for stimulus representations dominated by nonlocal suppressive interactions are in principle capable of correctly predicting the common OPM design. They question that visual cortical feature representations can be explained by a coverage-continuity-compromise.

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Section: Introductionmentioning

confidence: 88%

Section: Model Definition and Model Symmetriesmentioning

confidence: 99%

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confidence: 99%

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Coverage, continuity, and visual cortical architecture

Keil

Wolf

2011

Neural Syst Circ

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“…The Kohonen and elastic net models have been used to simulate several grossly abnormal rearing conditions including monocular deprivation [52,53], strabismus [54] and stripe-rearing [53,55]. The topographic maps of retinotopy, ocular dominance and orientation generated by these models match experimental maps in their individual overall structure and the relationships between maps in normal and abnormal rearing conditions [46,47,56].…”

Section: Modeling Map Plasticity: Insights Into Environmental Impactsmentioning

confidence: 99%

Computational Modeling of Neuronal Map Development: Insights Into Disease

2011

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These methods have been trialed in a number of neurological diseases, such as stroke, Parkinson's disease and Huntington's disease, and in some cases, they have been found to be safe and effective [3,5]; n These methods offer avenues for replacing cells that are lost during neurological disease processes [6,7]; n Little is known about factors influencing how replacement neurons might form their connections [5,8].

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“…Giacomantonio et al (2010) employ a computational model of the formation of activity-dependent maps of the visual world in the visual cortex to predict the effect of restricted orientation rearing on the topology of the visual cortex. They hence propose a variety of empirically testable perturbations of the normal map layout.…”

Section: Structural Attributes Underlying the Brain's Computationsmentioning

confidence: 99%