DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Replays of spatial memories suppress topological fluctuations in cognitive map

Abstract

The spiking activity of the hippocampal place cells plays a key role in producing and sustaining an internalized representation of the ambient space—a cognitive map. These cells do not only exhibit location-specific spiking during navigation, but also may rapidly replay the navigated routs through endogenous dynamics of the hippocampal network. Physiologically, such reactivations are viewed as manifestations of “memory replays” that help to learn new information and to consolidate previously acquired memories by reinforcing synapses in the parahippocampal networks. Below we propose a computational model of these processes that allows assessing the effect of replays on acquiring a robust topological map of the environment and demonstrate that replays may play a key role in stabilizing the hippocampal representation of space.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Rice Univ., Houston, TX (United States). Dept. of Computational and Applied Mathematics
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Rice Univ., Houston, TX (United States). Dept. of Computational and Applied Mathematics; Univ. of Texas McGovern Medical School, Houston, TX (United States). Dept. of Neurology
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1560577
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Network Neuroscience
Additional Journal Information:
Journal Volume: 3; Journal Issue: 3; Journal ID: ISSN 2472-1751
Country of Publication:
United States
Language:
English
Subject:
60 APPLIED LIFE SCIENCES; Learning and memory; Hippocampal replays; Transient networks; Zigzag homology theory

Citation Formats

Babichev, Andrey, Morozov, Dmitriy, and Dabaghian, Yuri. Replays of spatial memories suppress topological fluctuations in cognitive map. United States: N. p., 2019. Web. doi:10.1162/netn_a_00076.
Babichev, Andrey, Morozov, Dmitriy, & Dabaghian, Yuri. Replays of spatial memories suppress topological fluctuations in cognitive map. United States. https://doi.org/10.1162/netn_a_00076
Babichev, Andrey, Morozov, Dmitriy, and Dabaghian, Yuri. Tue . "Replays of spatial memories suppress topological fluctuations in cognitive map". United States. https://doi.org/10.1162/netn_a_00076. https://www.osti.gov/servlets/purl/1560577.
@article{osti_1560577,
title = {Replays of spatial memories suppress topological fluctuations in cognitive map},
author = {Babichev, Andrey and Morozov, Dmitriy and Dabaghian, Yuri},
abstractNote = {The spiking activity of the hippocampal place cells plays a key role in producing and sustaining an internalized representation of the ambient space—a cognitive map. These cells do not only exhibit location-specific spiking during navigation, but also may rapidly replay the navigated routs through endogenous dynamics of the hippocampal network. Physiologically, such reactivations are viewed as manifestations of “memory replays” that help to learn new information and to consolidate previously acquired memories by reinforcing synapses in the parahippocampal networks. Below we propose a computational model of these processes that allows assessing the effect of replays on acquiring a robust topological map of the environment and demonstrate that replays may play a key role in stabilizing the hippocampal representation of space.},
doi = {10.1162/netn_a_00076},
journal = {Network Neuroscience},
number = 3,
volume = 3,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 2019},
month = {Tue Jan 01 00:00:00 EST 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Figure 1 Figure 1: Basic notions of the hippocampal physiology in the context of the topological model. (A) In the following, we simulate rat’s navigation in a square-shaped environment $ε$ with a hole in the middle. The curves $γ$1, $γ$2, and $γ$3 represent a few short segments of a physical trajectorynavigated bymore » the rat. The place fields—the regions where the corresponding place cells become active—densely cover the environment, forming a place field map $M$$\mathcal {E}$ . An exemplary place field is represented by a highlighted cluster of blue dots in the top left corner of the environment. The right segment of the environment shows a highlighted pair, a triple and a quadruple of the overlapping place fields; the remaining place fields are dimmed into background. (B) Simplexes that correspond to overlapping place fields: a single vertex corresponds to place field (or a single active cell); a link between two vertexes represents a pair of overlapping place fields (or a pair of coactive cells); three overlapping place fields (or a triple of coactive place cells) correspond to a triangle, and so forth. (C) A collection of simplexes forms a simplicial complex, which schematically represents the net structure of the place field map. Shown is a fragment of a two-dimensional (2D) coactivity complex with simplicial paths $Γ$1, $Γ$2, and $Γ$3 that represent the physical paths $γ$1, $γ$2, and $γ$3 shown on the left. The classes of equivalent simplicial paths describe the topological structure of the coactivity complex: the number of topologically inequivalent, contractible simplicial paths such as $Γ$1 and $Γ$2, defines the number of pieces, b0, of the coactivity complex (see Methods). The number of topologically inequivalent paths contractible to a one-dimensional (1D) loop defines the number b1 of holes and so forth (Hatcher, 2002). (D) A schematic representation of a replayed sequence of place cells, shown over the corresponding place fields. The colored ticks in the top left corner schematically represent a sequence of spikes replayed within a short time window $\mathcal{w}$.« less

Save / Share:

Works referenced in this record:

Internally Generated Cell Assembly Sequences in the Rat Hippocampus
journal, September 2008


Topological Schemas of Memory Spaces
journal, April 2018


Transient cell assembly networks encode stable spatial memories
journal, June 2017


A Mathematical Model of Forgetting and Amnesia
journal, January 2013


Ripples Make Waves: Binding Structured Activity and Plasticity in Hippocampal Networks
journal, January 2011

  • Sadowski, Josef H. L. P.; Jones, Matthew W.; Mellor, Jack R.
  • Neural Plasticity, Vol. 2011
  • DOI: 10.1155/2011/960389

Reconceiving the hippocampal map as a topological template
journal, August 2014


Rhythms of the Brain
book, January 2006


Topological analysis of population activity in visual cortex
journal, June 2008

  • Singh, G.; Memoli, F.; Ishkhanov, T.
  • Journal of Vision, Vol. 8, Issue 8
  • DOI: 10.1167/8.8.11

Sharp-Wave Ripples Orchestrate the Induction of Synaptic Plasticity during Reactivation of Place Cell Firing Patterns in the Hippocampus
journal, March 2016


A model of topological mapping of space in bat hippocampus: A MODEL OF TOPOLOGICAL MAPPING OF SPACE IN BAT HIPPOCAMPUS
journal, July 2016

  • Hoffman, Kentaro; Babichev, Andrey; Dabaghian, Yuri
  • Hippocampus, Vol. 26, Issue 10
  • DOI: 10.1002/hipo.22610

Preplay of future place cell sequences by hippocampal cellular assemblies
journal, December 2010


The Effects of Theta Precession on Spatial Learning and Simplicial Complex Dynamics in a Topological Model of the Hippocampal Spatial Map
journal, June 2014


Instantaneous Modulation of Gamma Oscillation Frequency by Balancing Excitation with Inhibition
journal, May 2009


Gamma Synchronization Influences Map Formation Time in a Topological Model of Spatial Learning
journal, September 2016


Reverse replay of behavioural sequences in hippocampal place cells during the awake state
journal, February 2006


Place Cells, Grid Cells, and the Brain's Spatial Representation System
journal, July 2008


Zigzag Persistence
journal, April 2010


Awake Hippocampal Sharp-Wave Ripples Support Spatial Memory
journal, May 2012


Interplay between Short- and Long-Term Plasticity in Cell-Assembly Formation
journal, July 2014


Rats build and update topological representations through exploration
journal, September 2011


Temporally structured replay of neural activity in a model of entorhinal cortex, hippocampus and postsubiculum
journal, October 2008


Extracting insights from the shape of complex data using topology
journal, February 2013

  • Lum, P. Y.; Singh, G.; Lehman, A.
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep01236

Conjoint Control of Hippocampal Place Cell Firing by Two Visual Stimuli: I. the Effects of Moving the Stimuli on Firing Field Positions
journal, July 2000

  • Fenton, André A.; Csizmadia, Gyorgy; Muller, Robert U.
  • The Journal of General Physiology, Vol. 116, Issue 2
  • DOI: 10.1085/jgp.116.2.191

Revealing cell assemblies at multiple levels of granularity
journal, October 2014


Zigzag persistent homology and real-valued functions
conference, January 2009

  • Carlsson, Gunnar; de Silva, Vin; Morozov, Dmitriy
  • Proceedings of the 25th annual symposium on Computational geometry - SCG '09
  • DOI: 10.1145/1542362.1542408

Sharp wave ripples during learning stabilize the hippocampal spatial map
journal, April 2017

  • Roux, Lisa; Hu, Bo; Eichler, Ronny
  • Nature Neuroscience, Vol. 20, Issue 6
  • DOI: 10.1038/nn.4543

Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks
journal, January 2007

  • Bartos, Marlene; Vida, Imre; Jonas, Peter
  • Nature Reviews Neuroscience, Vol. 8, Issue 1
  • DOI: 10.1038/nrn2044

Hippocampal SWR Activity Predicts Correct Decisions during the Initial Learning of an Alternation Task
journal, March 2013


Homological scaffolds of brain functional networks
journal, December 2014

  • Petri, G.; Expert, P.; Turkheimer, F.
  • Journal of The Royal Society Interface, Vol. 11, Issue 101
  • DOI: 10.1098/rsif.2014.0873

Reactivation of hippocampal ensemble activity patterns in the aging rat.
journal, January 2001


Attractor Dynamics in the Hippocampal Representation of the Local Environment
journal, May 2005


Progressive Transformation of Hippocampal Neuronal Representations in “Morphed” Environments
journal, October 2005


Hebbian plasticity requires compensatory processes on multiple timescales
journal, March 2017

  • Zenke, Friedemann; Gerstner, Wulfram
  • Philosophical Transactions of the Royal Society B: Biological Sciences, Vol. 372, Issue 1715
  • DOI: 10.1098/rstb.2016.0259

Reactivation of Hippocampal Cell Assemblies: Effects of Behavioral State, Experience, and EEG Dynamics
journal, May 1999


Rhythms of the hippocampal network
journal, March 2016


Robust spatial memory maps encoded by networks with transient connections
journal, September 2018


Dynamic Analyses of Information Encoding in Neural Ensembles
journal, February 2004


Interplay between Hippocampal Sharp-Wave-Ripple Events and Vicarious Trial and Error Behaviors in Decision Making
journal, December 2016


Neurodynamics of mental exploration
journal, December 2009


Coordinated memory replay in the visual cortex and hippocampus during sleep
journal, December 2006

  • Ji, Daoyun; Wilson, Matthew A.
  • Nature Neuroscience, Vol. 10, Issue 1
  • DOI: 10.1038/nn1825

The hippocampus as a cognitive graph
journal, June 1996


Reactivation of experience-dependent cell assembly patterns in the hippocampus
journal, January 2008

  • O'Neill, Joseph; Senior, Timothy J.; Allen, Kevin
  • Nature Neuroscience, Vol. 11, Issue 2
  • DOI: 10.1038/nn2037

Theta Oscillations Provide Temporal Windows for Local Circuit Computation in the Entorhinal-Hippocampal Loop
journal, October 2009


Hippocampal ripples and memory consolidation
journal, June 2011


Resistance to forgetting associated with hippocampus-mediated reactivation during new learning
journal, February 2010

  • Kuhl, Brice A.; Shah, Arpeet T.; DuBrow, Sarah
  • Nature Neuroscience, Vol. 13, Issue 4
  • DOI: 10.1038/nn.2498

Organization of cell assemblies in the hippocampus
journal, July 2003

  • Harris, Kenneth D.; Csicsvari, Jozsef; Hirase, Hajime
  • Nature, Vol. 424, Issue 6948
  • DOI: 10.1038/nature01834

The hippocampus and inferential reasoning: building memories to navigate future decisions
journal, January 2012

  • Zeithamova, Dagmar; Schlichting, Margaret L.; Preston, Alison R.
  • Frontiers in Human Neuroscience, Vol. 6
  • DOI: 10.3389/fnhum.2012.00070

Cellular basis of working memory
journal, March 1995


Hippocampal replay in the awake state: a potential substrate for memory consolidation and retrieval
journal, January 2011

  • Carr, Margaret F.; Jadhav, Shantanu P.; Frank, Loren M.
  • Nature Neuroscience, Vol. 14, Issue 2
  • DOI: 10.1038/nn.2732

Cognitive graphs, resistive grids, and the hippocampal representation of space
journal, June 1996


Spatial Processing in the Brain: The Activity of Hippocampal Place Cells
journal, March 2001


Coordinated Excitation and Inhibition of Prefrontal Ensembles during Awake Hippocampal Sharp-Wave Ripple Events
journal, April 2016


Place-Selective Firing of CA1 Pyramidal Cells during Sharp Wave/Ripple Network Patterns in Exploratory Behavior
journal, January 2006


A Topological Model of the Hippocampal Cell Assembly Network
journal, June 2016

  • Babichev, Andrey; Ji, Daoyun; Mémoli, Facundo
  • Frontiers in Computational Neuroscience, Vol. 10
  • DOI: 10.3389/fncom.2016.00050

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology
journal, August 2012


Interactions Between Idiothetic Cues and External Landmarks in the Control of Place Cells and Head Direction Cells
journal, July 1998

  • Knierim, James J.; Kudrimoti, Hemant S.; McNaughton, Bruce L.
  • Journal of Neurophysiology, Vol. 80, Issue 1
  • DOI: 10.1152/jn.1998.80.1.425

Selective suppression of hippocampal ripples impairs spatial memory
journal, September 2009

  • Girardeau, Gabrielle; Benchenane, Karim; Wiener, Sidney I.
  • Nature Neuroscience, Vol. 12, Issue 10
  • DOI: 10.1038/nn.2384

Heterogeneity in the pyramidal network of the medial prefrontal cortex
journal, March 2006

  • Wang, Yun; Markram, Henry; Goodman, Philip H.
  • Nature Neuroscience, Vol. 9, Issue 4
  • DOI: 10.1038/nn1670

Awake replay of remote experiences in the hippocampus
journal, June 2009

  • Karlsson, Mattias P.; Frank, Loren M.
  • Nature Neuroscience, Vol. 12, Issue 7
  • DOI: 10.1038/nn.2344

A Neural Circuit Model of Flexible Sensorimotor Mapping: Learning and Forgetting on Multiple Timescales
journal, April 2007


Topology and data
journal, January 2009


Reactivation of hippocampal ensemble memories during sleep
journal, July 1994


Theta phase–specific codes for two-dimensional position, trajectory and heading in the hippocampus
journal, April 2008

  • Huxter, John R.; Senior, Timothy J.; Allen, Kevin
  • Nature Neuroscience, Vol. 11, Issue 5
  • DOI: 10.1038/nn.2106

Cell Groups Reveal Structure of Stimulus Space
journal, October 2008


Neural Syntax: Cell Assemblies, Synapsembles, and Readers
journal, November 2010


Deforming the hippocampal map
journal, January 2005

  • Touretzky, David S.; Weisman, Wendy E.; Fuhs, Mark C.
  • Hippocampus, Vol. 15, Issue 1
  • DOI: 10.1002/hipo.20029

Topological Schemas of Cognitive Maps and Spatial Learning
journal, March 2016

  • Babichev, Andrey; Cheng, Sen; Dabaghian, Yuri A.
  • Frontiers in Computational Neuroscience, Vol. 10
  • DOI: 10.3389/fncom.2016.00018

Conjoint Control of Hippocampal Place Cell Firing by Two Visual Stimuli
journal, July 2000

  • Fenton, André A.; Csizmadia, Gyorgy; Muller, Robert U.
  • Journal of General Physiology, Vol. 116, Issue 2
  • DOI: 10.1085/jgp.116.2.211

Thalamocortical excitability modulation guides human perception under uncertainty
journal, April 2021

  • Kosciessa, Julian Q.; Lindenberger, Ulman; Garrett, Douglas D.
  • Nature Communications, Vol. 12, Issue 1
  • DOI: 10.1038/s41467-021-22511-7

A neural circuit model of flexible sensorimotor mapping: learning and forgetting on multiple timescales
text, January 2007

  • Fusi, Stefano; Asaad, Wael F.; Miller, Earl K.
  • Cambridge University Press
  • DOI: 10.5167/uzh-93183

Cell assemblies at multiple time scales with arbitrary lag constellations
text, January 2016


Deforming the hippocampal map
journal, January 2005

  • Touretzky, David S.; Weisman, Wendy E.; Fuhs, Mark C.
  • Hippocampus, Vol. 15, Issue 1
  • DOI: 10.1002/hipo.20029

Disruption of ripple-associated hippocampal activity during rest impairs spatial learning in the rat
journal, January 2009


A model of topological mapping of space in bat hippocampus: A MODEL OF TOPOLOGICAL MAPPING OF SPACE IN BAT HIPPOCAMPUS
journal, July 2016

  • Hoffman, Kentaro; Babichev, Andrey; Dabaghian, Yuri
  • Hippocampus, Vol. 26, Issue 10
  • DOI: 10.1002/hipo.22610

Rats build and update topological representations through exploration
journal, September 2011


The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat
journal, November 1971


Cellular basis of working memory
journal, March 1995


Sharp-Wave Ripples Orchestrate the Induction of Synaptic Plasticity during Reactivation of Place Cell Firing Patterns in the Hippocampus
journal, March 2016


Revealing cell assemblies at multiple levels of granularity
journal, October 2014


Attractor Neural Networks and Spatial Maps in Hippocampus
journal, October 2005


Place-Selective Firing of CA1 Pyramidal Cells during Sharp Wave/Ripple Network Patterns in Exploratory Behavior
journal, January 2006


A Neural Circuit Model of Flexible Sensorimotor Mapping: Learning and Forgetting on Multiple Timescales
journal, April 2007


Instantaneous Modulation of Gamma Oscillation Frequency by Balancing Excitation with Inhibition
journal, May 2009


Theta Oscillations Provide Temporal Windows for Local Circuit Computation in the Entorhinal-Hippocampal Loop
journal, October 2009


Neural Syntax: Cell Assemblies, Synapsembles, and Readers
journal, November 2010


Hippocampal SWR Activity Predicts Correct Decisions during the Initial Learning of an Alternation Task
journal, March 2013


Interplay between Hippocampal Sharp-Wave-Ripple Events and Vicarious Trial and Error Behaviors in Decision Making
journal, December 2016


Temporally Structured Replay of Awake Hippocampal Ensemble Activity during Rapid Eye Movement Sleep
journal, January 2001


Reactivation of hippocampal ensemble activity patterns in the aging rat.
journal, January 2001


Organization of cell assemblies in the hippocampus
journal, July 2003

  • Harris, Kenneth D.; Csicsvari, Jozsef; Hirase, Hajime
  • Nature, Vol. 424, Issue 6948
  • DOI: 10.1038/nature01834

Preplay of future place cell sequences by hippocampal cellular assemblies
journal, December 2010


Theta phase–specific codes for two-dimensional position, trajectory and heading in the hippocampus
journal, April 2008

  • Huxter, John R.; Senior, Timothy J.; Allen, Kevin
  • Nature Neuroscience, Vol. 11, Issue 5
  • DOI: 10.1038/nn.2106

Awake replay of remote experiences in the hippocampus
journal, June 2009

  • Karlsson, Mattias P.; Frank, Loren M.
  • Nature Neuroscience, Vol. 12, Issue 7
  • DOI: 10.1038/nn.2344

Selective suppression of hippocampal ripples impairs spatial memory
journal, September 2009

  • Girardeau, Gabrielle; Benchenane, Karim; Wiener, Sidney I.
  • Nature Neuroscience, Vol. 12, Issue 10
  • DOI: 10.1038/nn.2384

Resistance to forgetting associated with hippocampus-mediated reactivation during new learning
journal, February 2010

  • Kuhl, Brice A.; Shah, Arpeet T.; DuBrow, Sarah
  • Nature Neuroscience, Vol. 13, Issue 4
  • DOI: 10.1038/nn.2498

Sharp wave ripples during learning stabilize the hippocampal spatial map
journal, April 2017

  • Roux, Lisa; Hu, Bo; Eichler, Ronny
  • Nature Neuroscience, Vol. 20, Issue 6
  • DOI: 10.1038/nn.4543

Reactivation of experience-dependent cell assembly patterns in the hippocampus
journal, January 2008

  • O'Neill, Joseph; Senior, Timothy J.; Allen, Kevin
  • Nature Neuroscience, Vol. 11, Issue 2
  • DOI: 10.1038/nn2037

Rhythms of the hippocampal network
journal, March 2016


Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks
journal, January 2007

  • Bartos, Marlene; Vida, Imre; Jonas, Peter
  • Nature Reviews Neuroscience, Vol. 8, Issue 1
  • DOI: 10.1038/nrn2044

Transient cell assembly networks encode stable spatial memories
journal, June 2017


Extracting insights from the shape of complex data using topology
journal, February 2013

  • Lum, P. Y.; Singh, G.; Lehman, A.
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep01236

Neurodynamics of mental exploration
journal, December 2009


Cognitive graphs, resistive grids, and the hippocampal representation of space
journal, June 1996


The hippocampus as a cognitive graph
journal, June 1996


Conjoint Control of Hippocampal Place Cell Firing by Two Visual Stimuli
journal, July 2000

  • Fenton, André A.; Csizmadia, Gyorgy; Muller, Robert U.
  • Journal of General Physiology, Vol. 116, Issue 2
  • DOI: 10.1085/jgp.116.2.211

Homological scaffolds of brain functional networks
journal, December 2014

  • Petri, G.; Expert, P.; Turkheimer, F.
  • Journal of The Royal Society Interface, Vol. 11, Issue 101
  • DOI: 10.1098/rsif.2014.0873

Attractor Dynamics in the Hippocampal Representation of the Local Environment
journal, May 2005


Internally Generated Cell Assembly Sequences in the Rat Hippocampus
journal, September 2008


Spatial Processing in the Brain: The Activity of Hippocampal Place Cells
journal, March 2001


Interactions Between Idiothetic Cues and External Landmarks in the Control of Place Cells and Head Direction Cells
journal, July 1998

  • Knierim, James J.; Kudrimoti, Hemant S.; McNaughton, Bruce L.
  • Journal of Neurophysiology, Vol. 80, Issue 1
  • DOI: 10.1152/jn.1998.80.1.425

Ripples Make Waves: Binding Structured Activity and Plasticity in Hippocampal Networks
journal, January 2011

  • Sadowski, Josef H. L. P.; Jones, Matthew W.; Mellor, Jack R.
  • Neural Plasticity, Vol. 2011
  • DOI: 10.1155/2011/960389

Dynamic Analyses of Information Encoding in Neural Ensembles
journal, February 2004


Cell Groups Reveal Structure of Stimulus Space
journal, October 2008


A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology
journal, August 2012


The Effects of Theta Precession on Spatial Learning and Simplicial Complex Dynamics in a Topological Model of the Hippocampal Spatial Map
journal, June 2014


Gamma Synchronization Influences Map Formation Time in a Topological Model of Spatial Learning
journal, September 2016


Robust spatial memory maps encoded by networks with transient connections
journal, September 2018


Interplay between Short- and Long-Term Plasticity in Cell-Assembly Formation
journal, July 2014


Dynamics of Mismatch Correction in the Hippocampal Ensemble Code for Space: Interaction between Path Integration and Environmental Cues
journal, December 1996


Replay and Time Compression of Recurring Spike Sequences in the Hippocampus
journal, November 1999


Neural Ensembles in CA3 Transiently Encode Paths Forward of the Animal at a Decision Point
journal, November 2007


Topological Schemas of Cognitive Maps and Spatial Learning
journal, March 2016

  • Babichev, Andrey; Cheng, Sen; Dabaghian, Yuri A.
  • Frontiers in Computational Neuroscience, Vol. 10
  • DOI: 10.3389/fncom.2016.00018

A Topological Model of the Hippocampal Cell Assembly Network
journal, June 2016

  • Babichev, Andrey; Ji, Daoyun; Mémoli, Facundo
  • Frontiers in Computational Neuroscience, Vol. 10
  • DOI: 10.3389/fncom.2016.00050

Topological Schemas of Memory Spaces
journal, April 2018


The hippocampus and inferential reasoning: building memories to navigate future decisions
journal, January 2012

  • Zeithamova, Dagmar; Schlichting, Margaret L.; Preston, Alison R.
  • Frontiers in Human Neuroscience, Vol. 6
  • DOI: 10.3389/fnhum.2012.00070

A Mathematical Model of Forgetting and Amnesia
journal, January 2013


Zigzag Persistence
preprint, January 2008


Cell assemblies at multiple time scales with arbitrary lag constellations
journal, January 2017


Works referencing / citing this record:

Editorial: Topological Neuroscience
journal, January 2019

  • Expert, Paul; Lord, Louis-David; Kringelbach, Morten L.
  • Network Neuroscience, Vol. 3, Issue 3
  • DOI: 10.1162/netn_e_00096

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.