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BMC Neuroscience

, 16:P44 | Cite as

A topological approach to synaptic connectivity and spatial memory

  • Russell Milton
  • Andrey Babichev
  • Yuri A Dabaghian
Poster presentation

Keywords

Neurodegenerative Disease Firing Rate Compensatory Mechanism Spatial Memory Spatial Learning 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

In the hippocampus, a network of place cells generates a cognitive map of space, in which each cell is responsive to a particular area of the environment -- its place field. The peak response of each cell and the size of each place field have considerable variability. Experimental evidence suggests that place cells encode a topological map of space that serves as a basis of spatial memory and spatial awareness. Using a computational model based on Persistent Homology Theory we demonstrate that if the parameters of the place cells spiking activity fall inside of the physiological range, the network correctly encodes the topological features of the environment. We next introduce parameters of synaptic connectivity into the model and demonstrate that failures in synapses that detect coincident neuronal activity lead to spatial learning deficiencies similar to the ones that are observed in rodent models of neurodegenerative diseases. Moreover, we show that these learning deficiencies may be mitigated by increasing the number of active cells and/or by increasing their firing rate, suggesting the existence of a compensatory mechanism inherent to the cognitive map.

Notes

Acknowledgements

Work is supported by the NSF grant NSF 1422438.

References

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    Dabaghian Y, Brandt V, Frank L: Reconceiving the hippocampal map as a topological template. eLife. 2014, 3: e03476-PubMedPubMedCentralCrossRefGoogle Scholar
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    Arai M, Brandt V, Dabaghian Y: The Effects of Theta Precession on Spatial Learning and Simplicial Complex Dynamics in a Topological Model of the Hippocampal Spatial Map. PLoS Comput Biol. 2014, 10 (6): e1003651-PubMedPubMedCentralCrossRefGoogle Scholar
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    Dabaghian Y, Mémoli F, Frank L, Carlsson G: A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology. PLoS Comput Biol. 2012, 8 (8): e1002581-PubMedPubMedCentralCrossRefGoogle Scholar

Copyright information

© Milton et al. 2015

This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

Authors and Affiliations

  • Russell Milton
    • 1
  • Andrey Babichev
    • 2
    • 3
  • Yuri A Dabaghian
    • 2
    • 3
  1. 1.Department of Neurobiology and AnatomyUniversity of Texas Health Science Center at HoustonUSA
  2. 2.Neurology-Pediatrics DepartmentBaylor College of MedicineHoustonUSA
  3. 3.Computational and Applied MathematicsRice UniversityHoustonUSA

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