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Matematicheskaya Biologiya i Bioinformatika, 2012, Volume 7, Issue 1, Pages 206–243 (Mi mbb100)  
Mathematical Modeling

Mathematical model of spatial encoding in hippocampal formation. I. Grid cells neurodynamics

V. D. Tsukerman, Z. S. Eremenko, O. V. Karimova, A. A. Sazykin, S. V. Kulakov

A. B. Kogan Research Institute for Neurocybernetics, Southern Federal University
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Abstract: Based on the phase-frequency model of phase encoding of neural messages in the brain a model of grid cells of the spatial coding in hippocampal formation is presented. It is shown that a specific recurrent neural organization model is the determining factor in the formation of neural associations of different levels, encryption key spatial variables - location, orientation, linear and angular velocity, coordinate activity of neural ensembles in the navigation behavior.
Key words: space, navigation, hippocampus, neural networks, ensemble, phase, map, place cells, head direction cells, grid cells, spatial view cells, path integration.
Received 12.10.2011, Published 09.04.2012
Document Type: Article
UDC: 57.024
Language: Russian
Citation: V. D. Tsukerman, Z. S. Eremenko, O. V. Karimova, A. A. Sazykin, S. V. Kulakov, “Mathematical model of spatial encoding in hippocampal formation. I. Grid cells neurodynamics”, Mat. Biolog. Bioinform., 7:1 (2012), 206–243
Citation in format AMSBIB
\Bibitem{TsuEreKar12}
\by V.~D.~Tsukerman, Z.~S.~Eremenko, O.~V.~Karimova, A.~A.~Sazykin, S.~V.~Kulakov
\paper Mathematical model of spatial encoding in hippocampal formation. I.~Grid cells neurodynamics
\jour Mat. Biolog. Bioinform.
\yr 2012
\vol 7
\issue 1
\pages 206--243
\mathnet{http://mi.mathnet.ru/mbb100}
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