RIKEN Brain Science Institute (RIKEN BSI) RIKEN BSI News No. 11 (Feb. 2001)



Optical Recording and Mathematical Modeling of Column Structures in the Visual Cortex

Dr. Shigeru Tanaka
Head, Laboratory for Visual Neurocomputing

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Fig.1 image processing for direction columns A two-dimensional pattern (upper section) of direction columns in area 18 obtained from an optical recording experiment before applying our image processing method, and a two-dimensional pattern (lower section) of direction columns from the same data after the removal of noise components according to the method.
Introduction
How does the brain work when we visually recognize the outside world? This laboratory focuses on functional structures called columns, such as the orientation column, ocular dominance column and direction column, which are located in the primary visual area of the mammalian cerebral cortex. We aim to experimentally and theoretically clarify information processing capabilities of the brain and the mechanisms underlying the formation of neural networks which sustain these capabilities. We observe two-dimensional patterns of various column structures using an optical recording technique and study the mutual relationships among different columns and how the columns represent information. At the same time, we study the role of visual experience in the development of visual cortical columns, reproducing the experimentally observed column structures by computer simulation based upon our mathematical model of activity-dependent self-organization.


Analysis of Optical Recording Data
Column structures which represent different types of visual features are observed in the mammalian visual cortex, and are considered to provide functional reference maps for visual information processing. To understand the mechanisms of visual information representation in the brain and of visual information processing in the cortical neural circuits, column structures are imaged using an optical recording technique. The optical recording we are conducting is the so-called intrinsic optical signal recording, by which we can detect changes in the morphology and metabolic activity of cortical cells associated with neural activities as changes in the amount of light reflected from the brain tissue. However, since signal components related to neural a ctivities are faint, the obtained image data must be processed appropriately. Detailed analysis of image data revealed that the main noise components that deteriorate the im age of the columns are stimulus-independent and spatially slowly-varying components. We developed a method for image data processing, by which we can efficiently detects stimulus-dependent signals b y extracting the noise components using the orthogonal polynomial functions and subtracting the components from the recorded signals. As shown in Fig. 1, a pattern of direction columns representing optimal directions of motion in the frontoparallel plane, which was m
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Fig.2 A snapshot of a simulated spatio-temporal receptive field of a model visual cortical neuron. Red and green domains, respectively, indicate regions within the receptive field, which showed ON and OFF responses when stimulated with a spotlight.
asked by noise and could not previously be measured, can be imaged using this method.

A Model of Activity-Dependent Self-Organization of Columns
How are the columns formed in a developing brain? We approach this question using our mathematical model. In the case of neurons in the lateral geniculate nucleus (LGN), which is a relay nucleus in the thalamus, regions in the visual space which respond to bright and dark light stimuli (receptive field) are arranged in the form of concentric circles. On the other hand, in receptive fields of neurons in the visual cortex, sub-fields responding to bright and dark stimuli are arranged in parallel at different inclinations for dif ferent neurons. As a result, when a bright/dark-alternating stripe is presented to the visual space, a cortical neuron respond selectively to the stripe presented at a particular inclination (orientation). Meanwhile, since the receptive field properties of adjacent neurons in the visual cortex are similar, orderly arrangements of orientation and direction columns are found in the cortex. It has been found that oriented receptive fields and the related columns, which are characteristic of the primary visual cortex, can b
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Fig.3 A pattern of orientation columns in the model visual cortex obtained from the simulation of activity-dependent self-organization.
e reproduced by our mathematical model of activity-dependent self-organization. This model is built based on Hebbユs hypothesis that co-occurrence of pre-synaptic activity (spike a ctivity of an LGN neuron) and postsynaptic activity (membrane depolarization of a cortical neuron) strengthens the synaptic connection. Fig. 2 shows a typical example of the spatio-temporal receptive field of a neuron in the model visual cortex, which was obtained by performing simulation of self-organization while stripe patterns with various inclinations were being presented. Fig. 3 shows a pattern of orientation columns obtained by the same simulation.

A Column Structure for Directions of Motion in Depth
It is considered that orientation and ocular dominance columns, which have been conventionally imaged by the optical recording technique, are basically determined by the feed-forward connections from the thalamus to the cortex. However, if the representation of visual information by a column is assumed to be determined by the afferent inputs from the LGN, a question arises: what roles do an enormous amount of neural connections within the cortex play in visual information processing? To answer this question, we studied how information related to "directions of motion in the depth direction" is represented in the visual cortex, using intrinsic optical recording. Movement of an object in the depth direction is considered to be perceived based on the change in size of an image which is projected on the retina or the difference in movement directions between stimuli presented to the left and right eyes. We focused on the mechanisms of the latter factor. We generated visual stimuli moving in the depth direction, utilizing goggles equipped with liquid crystal shutters. When two sets of images of a vertical stripe moving in opposite directions on a monitor are presented to the left and right eyes alternately at 120 Hz, subjects feel that the vertical stripe is moving in the depth direction. For example, when a stripe moving to the right is presented to the left eye and a stripe moving to the left is presented to the right eye, subjects feel that the vertical stripe is approaching. In contrast, when a stripe moving to the left is presented to the left eye and a stripe moving to the right is presented to the right eye, subjects feel that the vertical stripe is moving away. We measured the intrinsic signals from the cortex when such stimuli were presented to animals under anesthesia. Fig. 4 shows a pattern of columns for directions of motion in depth, which was obtained from the recorded signals, from which the aforementioned slowly-varying noise components were subtracted. It has been revealed from detailed data analyses that the column structure cannot be reproduced by any linear combination of signals in response to monocular stimulation. This indicates that the individual neuronsユ optimal directions of
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Fig.4 A pattern of columns for directions of motion in depth. A hue indicates the domains of optimal directions of motion in depth, at which neural activities are significantly facilitated. The white curves delineate the domains responding to the vertical stripe.
motion in the frontoparallel plane are the same in the left and right eyes, and hence a single neuron cannot code directions of motion in depth. In other words, motion in depth is extracted by nonlinear interaction among visual cortical neurons, which is different from the orientation and ocular dominance characteristics.

Conclusion
Based on the findings from the self-organization study and intrinsic optical recording, we are developing a large-scale neural network model taking into account mutual connections among neurons in the cortex to understand computational mechanisms of the cerebral cortex. By such a complementary and synergistic approach using theory and experiment, we believe that some principles of cortical development and visual perception will be clarified.
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