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      A Signature of Attractor Dynamics in the CA3 Region of the Hippocampus

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          Abstract

          The notion of attractor networks is the leading hypothesis for how associative memories are stored and recalled. A defining anatomical feature of such networks is excitatory recurrent connections. These “attract” the firing pattern of the network to a stored pattern, even when the external input is incomplete (pattern completion). The CA3 region of the hippocampus has been postulated to be such an attractor network; however, the experimental evidence has been ambiguous, leading to the suggestion that CA3 is not an attractor network. In order to resolve this controversy and to better understand how CA3 functions, we simulated CA3 and its input structures. In our simulation, we could reproduce critical experimental results and establish the criteria for identifying attractor properties. Notably, under conditions in which there is continuous input, the output should be “attracted” to a stored pattern. However, contrary to previous expectations, as a pattern is gradually “morphed” from one stored pattern to another, a sharp transition between output patterns is not expected. The observed firing patterns of CA3 meet these criteria and can be quantitatively accounted for by our model. Notably, as morphing proceeds, the activity pattern in the dentate gyrus changes; in contrast, the activity pattern in the downstream CA3 network is attracted to a stored pattern and thus undergoes little change. We furthermore show that other aspects of the observed firing patterns can be explained by learning that occurs during behavioral testing. The CA3 thus displays both the learning and recall signatures of an attractor network. These observations, taken together with existing anatomical and behavioral evidence, make the strong case that CA3 constructs associative memories based on attractor dynamics.

          Author Summary

          A type of neural network called an “attractor network” is thought to underlie memory associations. Importantly, when such a network is presented with part of a memory, the network activity is attracted to the complete memory. However, it has been difficult to obtain clear experimental evidence for such attractor networks. Indeed, recent “morphing” experiments that were specifically designed to observe these attractor dynamics in the hippocampus did not obtain the expected results, leading to a controversy on the validity of the attractor hypothesis of memory. Here, we have built a computational model of the relevant hippocampal areas, including its core anatomical and physiological features, and through the use of large-scale computer simulations reveal in detail the physiological properties expected of the hippocampal attractor network during morphing experiments. We show that the experimental results obtained are actually those to be expected of an attractor network when the specifics of the experimental protocol are taken into account. Most importantly, the results directly demonstrate the attraction of CA3 activity to a stored pattern. Our results, together with previous behavioral and in vitro studies, provide strong evidence that CA3 is an attractor network for associative memory.

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          Most cited references50

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          Neural networks and physical systems with emergent collective computational abilities.

          J Hopfield (1982)
          Computational properties of use of biological organisms or to the construction of computers can emerge as collective properties of systems having a large number of simple equivalent components (or neurons). The physical meaning of content-addressable memory is described by an appropriate phase space flow of the state of a system. A model of such a system is given, based on aspects of neurobiology but readily adapted to integrated circuits. The collective properties of this model produce a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size. The algorithm for the time evolution of the state of the system is based on asynchronous parallel processing. Additional emergent collective properties include some capacity for generalization, familiarity recognition, categorization, error correction, and time sequence retention. The collective properties are only weakly sensitive to details of the modeling or the failure of individual devices.
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            Microstructure of a spatial map in the entorhinal cortex.

            The ability to find one's way depends on neural algorithms that integrate information about place, distance and direction, but the implementation of these operations in cortical microcircuits is poorly understood. Here we show that the dorsocaudal medial entorhinal cortex (dMEC) contains a directionally oriented, topographically organized neural map of the spatial environment. Its key unit is the 'grid cell', which is activated whenever the animal's position coincides with any vertex of a regular grid of equilateral triangles spanning the surface of the environment. Grids of neighbouring cells share a common orientation and spacing, but their vertex locations (their phases) differ. The spacing and size of individual fields increase from dorsal to ventral dMEC. The map is anchored to external landmarks, but persists in their absence, suggesting that grid cells may be part of a generalized, path-integration-based map of the spatial environment.
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              Pattern separation in the dentate gyrus and CA3 of the hippocampus.

              Theoretical models have long pointed to the dentate gyrus as a possible source of neuronal pattern separation. In agreement with predictions from these models, we show that minimal changes in the shape of the environment in which rats are exploring can substantially alter correlated activity patterns among place-modulated granule cells in the dentate gyrus. When the environments are made more different, new cell populations are recruited in CA3 but not in the dentate gyrus. These results imply a dual mechanism for pattern separation in which signals from the entorhinal cortex can be decorrelated both by changes in coincidence patterns in the dentate gyrus and by recruitment of nonoverlapping cell assemblies in CA3.
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                Author and article information

                Contributors
                Role: Editor
                Journal
                PLoS Comput Biol
                PLoS Comput. Biol
                plos
                ploscomp
                PLoS Computational Biology
                Public Library of Science (San Francisco, USA )
                1553-734X
                1553-7358
                May 2014
                22 May 2014
                : 10
                : 5
                : e1003641
                Affiliations
                [1 ]Universitat Pompeu Fabra, Synthetic, Perceptive, Emotive and Cognitive Systems group (SPECS), Barcelona, Spain
                [2 ]Federal University of Rio Grande do Norte (UFRN), Brain Institute (ICe), Natal, Rio Grande do Norte, Brazil
                [3 ]Brandeis University, Biology Department & Volen Center for Complex Systems, Waltham, Massachusetts, United States of America
                [4 ]Catalan Institute of Advanced Research (ICREA), Passeig Lluís Companys 23, Barcelona, Spain
                [5 ]Universitat Pompeu Fabra, Center of Autonomous Systems and Neurorobotics (NRAS), Barcelona, Spain
                Indiana University, United States of America
                Author notes

                The authors have declared that no competing interests exist.

                Conceived and designed the experiments: CRC JEL PFMJV. Performed the experiments: CRC. Analyzed the data: CRC JEL PFMJV. Contributed reagents/materials/analysis tools: CRC. Wrote the paper: CRC JEL PFMJV.

                Article
                PCOMPBIOL-D-13-02295
                10.1371/journal.pcbi.1003641
                4031055
                24854425
                07a3788b-3d46-4c8a-bafc-984c0bf8c42a
                Copyright @ 2014

                This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

                History
                : 3 January 2014
                : 9 April 2014
                Page count
                Pages: 15
                Funding
                This study was supported by National Institutes of Health Awards R01DA027807 and R01MH102841, by the European Commission through the projects Goal-Leaders (FP7-ICT- 270108) and Experimental Functional Android Assistant (FP7-ICT- 270490), and by the Brazilian agency CAPES through the Science Without Borders program (CSF-BJT 040/2012). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Research Article
                Biology and Life Sciences
                Computational Biology
                Computational Neuroscience
                Circuit Models
                Neuroscience
                Learning and Memory
                Neural Networks

                Quantitative & Systems biology
                Quantitative & Systems biology

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