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We investigate different dynamical regimes of neuronal network in the CA3 area of the hippocampus. The proposed neuronal circuit includes two fast- and two slowly-spiking cells which are interconnected by means of dynamical synapses. On the…

Neurons and Cognition · Quantitative Biology 2015-11-20 Anastasia I. Lavrova , Michael A. Zaks , Lutz Schimansky-Geier

Sequential firing of hippocampal place cells is often attributed to sequential sensory drive along a trajectory, and has also been attributed to planning and other cognitive functions. Here, we propose a mechanistic and parsimonious…

Neurons and Cognition · Quantitative Biology 2026-03-03 Xiao-Xiong Lin , Yuk-Hoi Yiu , Christian Leibold

Complex architectures of biological neural circuits, such as parallel processing pathways, has been behaviorally implicated in many cognitive studies. However, the theoretical consequences of circuit complexity on neural computation have…

Machine Learning · Statistics 2017-11-28 James B. Aimone , William M. Severa

Space is represented in the mammalian brain by the activity of hippocampal place cells as well as in their spike-timing correlations. Here we propose a theory how this temporal code is transformed to spatial firing rate patterns via…

Neurons and Cognition · Quantitative Biology 2017-08-02 Mauro M. Monsalve-Mercado , Christian Leibold

The entorhinal-hippocampal circuit plays a critical role in higher brain functions, especially spatial cognition. Grid cells in the medial entorhinal cortex (MEC) periodically fire with different grid spacing and orientation, which makes a…

Neurons and Cognition · Quantitative Biology 2019-10-11 Taiping Zeng , XiaoLi Li , Bailu Si

The proposed analysis of the currently available experimental results concerning the neural cell activity in the brain area known as hippocampus suggests a particular mechanism of spatial information and memory processing. Below it is…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Yu. Dabaghian , A. G. Cohn , L. Frank

Recent advances in associative memory design through structured pattern sets and graph-based inference algorithms have allowed reliable learning and recall of an exponential number of patterns. Although these designs correct external errors…

Neural and Evolutionary Computing · Computer Science 2014-03-14 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav R. Varshney

The dynamics of a neural model for hippocampal place cells storing spatial maps is studied. In the absence of external input, depending on the number of cells and on the values of control parameters (number of environments stored, level of…

Neurons and Cognition · Quantitative Biology 2014-03-19 Rémi Monasson , Sophie Rosay

How the brain co-ordinates the actions of distant regions in an efficient manner is an open problem. Many believe that cross-frequency coupling between the amplitude of high frequency local field potential oscillations in one region and the…

Neurons and Cognition · Quantitative Biology 2016-04-04 Thomas E. Gorochowski , Rafal Bogacz , Matthew Jones

Autoassociative networks were proposed in the 80's as simplified models of memory function in the brain, using recurrent connectivity with hebbian plasticity to store patterns of neural activity that can be later recalled. This type of…

Disordered Systems and Neural Networks · Physics 2011-11-10 Emilio Kropff , Alessandro Treves

A recurrent neural network model storing multiple spatial maps, or ``charts'', is analyzed. A network of this type has been suggested as a model for the origin of place cells in the hippocampus of rodents. The extremely diluted and fully…

Disordered Systems and Neural Networks · Physics 2009-10-31 Francesco P. Battaglia , Alessandro Treves

While cognitive representations of an environment can last for days and even months, the synaptic architecture of the neuronal networks that underlie these representations constantly changes due to various forms of synaptic and structural…

Neurons and Cognition · Quantitative Biology 2016-06-10 Andrey Babichev , Yuri Dabaghian

A common approach to interpreting spiking activity is based on identifying the firing fields---regions in physical or configuration spaces that elicit responses of neurons. Common examples include hippocampal place cells that fire at…

Neurons and Cognition · Quantitative Biology 2021-08-10 D. Akhtiamov , A. G. Cohn , Y. Dabaghian

We study the stable phases of an attractor neural network model, with binary units, for hippocampal place cells encoding 1D or 2D spatial maps or environments. Using statistical mechanics tools we show that, below critical values for the…

Statistical Mechanics · Physics 2013-06-26 Rémi Monasson , Sophie Rosay

Hippocampal CA3 is crucial for the formation of long-term associative memory. It has a heavily recurrent connectivity, and memories are thought to be stored as memory engrams in the CA3. However, despite its importance for memory storage…

Neurons and Cognition · Quantitative Biology 2017-04-26 Yansong Chua , Cheston Tan

The hippocampus encodes space through a striking gradient of place field sizes along its dorsal-ventral axis, yet the principles generating this continuous gradient from discrete grid cell inputs remain debated. We propose a unified…

Neurons and Cognition · Quantitative Biology 2025-06-06 Shujun Zhou , Guozhang Chen

Hippocampal place cells can encode spatial locations of an animal in physical or task-relevant spaces. We simulated place cell populations that encoded either Euclidean- or graph-based positions of a rat navigating to goal nodes in a maze…

Neurons and Cognition · Quantitative Biology 2022-11-17 Thibault Niederhauser , Adam Lester , Nina Miolane , Khanh Dao Duc , Manu S. Madhav

We develop of a line of work initiated by Curto and Itskov towards understanding the amount of information contained in the spike trains of hippocampal place cells via topology considerations. Previously, it was established that simply…

Neurons and Cognition · Quantitative Biology 2018-11-21 Samir Chowdhury , Bowen Dai , Facundo Mémoli

The human brain is the most powerful and efficient machine in existence today, surpassing in many ways the capabilities of modern computers. Currently, lines of research in neuromorphic engineering are trying to develop hardware that mimics…

Neural and Evolutionary Computing · Computer Science 2022-10-06 Daniel Casanueva-Morato , Alvaro Ayuso-Martinez , Juan P. Dominguez-Morales , Angel Jimenez-Fernandez , Gabriel Jimenez-Moreno

It is believed that hippocampus functions as a memory allocator in brain, the mechanism of which remains unrevealed. In Valiant's neuroidal model, the hippocampus was described as a randomly connected graph, the computation on which maps…

Neural and Evolutionary Computing · Computer Science 2016-12-15 Wenlong Mou , Zhi Wang , Liwei Wang