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The architecture of iso-orientation domains in the primary visual cortex of placental carnivores and primates apparently follows species invariant quantitative laws. Dynamical optimization models assuming that neurons coordinate their…

Neurons and Cognition · Quantitative Biology 2015-12-01 Manuel Schottdorf , Wolfgang Keil , David Coppola , Leonard E. White , Fred Wolf

In this paper we present a new model for the generation of orientation preference maps in the primary visual cortex (V1), considering both orientation and scale features. First we undertake to model the functional architecture of V1 by…

Neurons and Cognition · Quantitative Biology 2021-03-01 Emre Baspinar , Giovanna Citti , Alessandro Sarti

The 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)…

Neurons and Cognition · Quantitative Biology 2015-03-19 Wolfgang Keil , Fred Wolf

While traditional feed-forward filter models can reproduce the rate responses of retinal ganglion neurons to simple stimuli, they cannot explain why synchrony between spikes is much higher than expected by Poisson firing [6], and can be…

Neurons and Cognition · Quantitative Biology 2020-05-07 Christopher Warner , Friedrich T. Sommer

Neurons in the primary visual cortex are more or less selective for the orientation of a light bar used for stimulation. A broad distribution of individual grades of orientation selectivity has in fact been reported in all species. A…

Neurons and Cognition · Quantitative Biology 2015-06-19 Sadra Sadeh , Stefan Rotter

It is an attractive hypothesis that the spatial structure of visual cortical architecture can be explained by the coordinated optimization of multiple visual cortical maps representing orientation preference (OP), ocular dominance (OD),…

Neurons and Cognition · Quantitative Biology 2015-06-03 Lars Reichl , Dominik Heide , Siegrid Löwel , Justin C. Crowley , Matthias Kaschube , Fred Wolf

The various types of retinal neurons are each positioned at their respective depths within the retina where they are believed to be assembled as orderly mosaics, in which like-type neurons minimize proximity to one another. Two common…

Neurons and Cognition · Quantitative Biology 2019-10-24 Patrick W. Keeley , Stephen J. Eglen , Benjamin E. Reese

Many cortical areas increase in size considerably during postnatal development, progressively displacing neuronal cell bodies from each other. At present, little is known about how cortical growth affects the development of neuronal…

Neurons and Cognition · Quantitative Biology 2011-04-12 Wolfgang Keil , Karl-Friedrich Schmidt , Siegrid Loewel , Matthias Kaschube

A linear neural network is proposed for mamalian vision system in which backward connections from the primary visual cortex (V1) to the lateral geniculate nucleus play a key role. The backward connections control the flow of information…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ted Hesselroth , Klaus Schulten

This paper gives an overview of a theory for modelling the interaction between geometric image transformations and receptive field responses for a visual observer that views objects and spatio-temporal events in the environment. This…

Neurons and Cognition · Quantitative Biology 2026-05-14 Tony Lindeberg

We consider a model of basic inner retinal connectivity where bipolar and amacrine cells interconnect, and both cell types project onto ganglion cells, modulating their response output to the brain visual areas. We derive an analytical…

Neurons and Cognition · Quantitative Biology 2024-01-10 Evgenia Kartsaki , Gerrit Hilgen , Evelyne Sernagor , Bruno Cessac

The purpose of this work is to construct a model for the functional architecture of the primary visual cortex (V1), based on a structure of metric measure space induced by the underlying organization of receptive profiles (RPs) of visual…

Metric Geometry · Mathematics 2019-10-14 Noemi Montobbio , Alessandro Sarti , Giovanna Citti

Primary visual cortex (V1) provides crucial insights into the selectivity and emergence of specific output features such as orientation tuning. Tuning and selectivity of cortical neurons in mouse visual cortex is not equivocally resolved so…

In this paper we study the spontaneous development of symmetries in the early layers of a Convolutional Neural Network (CNN) during learning on natural images. Our architecture is built in such a way to mimic the early stages of biological…

Neurons and Cognition · Quantitative Biology 2021-04-20 Federico Bertoni , Noemi Montobbio , Alessandro Sarti , Giovanna Citti

Most types of retinal neurons are spatially positioned in non-random patterns, termed retinal mosaics. Several developmental mechanisms are thought to be important in the formation of these mosaics. Most evidence to date suggests that…

Neurons and Cognition · Quantitative Biology 2012-08-07 Stephen J. Eglen , James C. T. Wong

The visual system is hierarchically organized to process visual information in successive stages. Neural representations vary drastically across the first stages of visual processing: at the output of the retina, ganglion cell receptive…

Neurons and Cognition · Quantitative Biology 2019-01-07 Jack Lindsey , Samuel A. Ocko , Surya Ganguli , Stephane Deny

The retina is the entrance of the visual system. Although based on common biophysical principles the dynamics of retinal neurons is quite different from their cortical counterparts, raising interesting problems for modellers. In this paper…

Dynamical Systems · Mathematics 2022-01-20 Bruno Cessac

Neural field theory is used to quantitatively analyze the two-dimensional spatiotemporal correlation properties of gamma-band (30 -- 70 Hz) oscillations evoked by stimuli arriving at the primary visual cortex (V1), and modulated by patchy…

Neurons and Cognition · Quantitative Biology 2021-03-19 X. Liu , P. Sanz-Leon , P. A. Robinson

In this paper, we present a multi--layer, activity--dependent model for the joint development of ocular dominance (OD) columns and cytochrome oxidase (CO) blobs in primate primary visual cortex (V1). For simplicity, we focus on layers 4C…

Neurons and Cognition · Quantitative Biology 2022-08-24 Andrew M. Oster

The grid cells (GCs) of the medial entorhinal cortex (MEC) and place cells (PCs) of the hippocampus are key elements of the brain network for the metric representation of space. Currently, any of the existing theoretical models can explain…

Neurons and Cognition · Quantitative Biology 2015-07-01 Andrey Stepanyuk
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