Cited by 39Memory and Neural MechanismsNeural dynamics and brain functionNeural Networks and Applications

Continuous attractors with morphed/correlated maps

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Romani, Sandro, Tsodyks, Misha·2010·PLoS Computational Biology

Abstract

Continuous attractor networks are used to model the storage and representation of analog quantities, such as position of a visual stimulus. The storage of multiple continuous attractors in the same network has previously been studied in the context of self-position coding. Several uncorrelated maps of environments are stored in the synaptic connections, and a position in a given environment is represented by a localized pattern of neural activity in the corresponding map, driven by a spatially tuned input. Here we analyze networks storing a pair of correlated maps, or a morph sequence between two uncorrelated maps. We find a novel state in which the network activity is simultaneously localized in both maps. In this state, a fixed cue presented to the network does not determine uniquely the location of the bump, i.e. the response is unreliable, with neurons not always responding when their preferred input is present. When the tuned input varies smoothly in time, the neuronal responses become reliable and selective for the environment: the subset of neurons responsive to a moving input in one map changes almost completely in the other map. This form of remapping is a non-trivial transformation between the tuned input to the network and the resulting tuning curves of the neurons. The new state of the network could be related to the formation of direction selectivity in one-dimensional environments and hippocampal remapping. The applicability of the model is not confined to self-position representations; we show an instance of the network solving a simple delayed discrimination task.

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Crossref · 10.1371/journal.pcbi.1000869

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  • Romani and Tsodyks, 2010 studied the effects of adding correlation to spatial maps in forward-engineered multistable attractor networks.

    “Romani and Tsodyks, 2010 studied the effects of adding correlation to spatial maps in forward-engineered multistable attractor networks”

    From Remapping in a recurrent neural network model of navigation and context inference (2023) · cites this paper as Romani and Tsodyks, 2010

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  1. [2]Funahashi S Bruce CJ Goldman-Rakic PS 1989 Mnemonic coding of visual space in the monkey's dorsolateral prefrontal cortex. J Neurophysiol 61 331 349 2918358
  2. [3]O'Keefe J 1976 Place units in the hippocampus of the freely moving rat. Exp Neurol 51 78 109 1261644
  3. [4]Taube J Muller R Ranck JJB 1990 Head-direction cells recorded from the postsubiculum in freely moving rats. i. description and quantitative analysis. J Neurosci 10 420 435 2303851 PMC6570151
  4. [5]Taube J Muller R Ranck JJB 1990 Head-direction cells recorded from the postsubiculum in freely moving rats. ii. effects of environmental manipulations. J Neurosci 10 436 447 2303852 PMC6570161
  5. [6]Fyhn M Molden S Witter MP Moser EI Moser MB 2004 Spatial representation in the entorhinal cortex. Science 305 1258 1264 15333832
  6. [7]Hafting T Fyhn M Molden S Moser MB Moser EI 2005 Microstructure of a spatial map in the entorhinal cortex. Nature 436 801 806 15965463
  7. [8]Willshaw D Buneman OP Longuet-Higgins H 1969 Non-holographic associative memory. Nature 222 960 962 5789326
  8. [9]Amari SI 1972 Learning patterns and pattern sequences by self-organizing nets of threshold elements. IEEE Transactions on Computers 21 1197 1206
  9. [10]Hopfield JJ 1982 Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci U S A 79 2554 2558 6953413 PMC346238
  10. [11]Amit DJ 1989 Modeling brain function: the world of attractor neural networks Cambridge Cambridge University Press
  11. [12]Amari Si 1977 Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern 27 77 87 911931
  12. [13]Ermentrout GB Cowan JD 1979 A mathematical theory of visual hallucination patterns. Biol Cybern 34 137 150 486593
  13. [15]Murray JD 2003 Mathematical biology New York Springer, 3rd ed edition
  14. [16]Ben-Yishai R Bar-Or R Sompolinsky H 1995 Theory of orientation tuning in visual cortex. Proc Natl Acad Sci U S A 92 3844 3848 7731993 PMC42058
  15. [17]Blumenfeld B Bibitchkov D Tsodyks M 2006 Neural network model of the primary visual cortex: From functional architecture to lateral connectivity and back. J Comput Neurosci 20 219 241 16699843 PMC2784503
  16. [19]Tsodyks M 1999 Attractor neural network models of spatial maps in hippocampus. Hippocampus 9 481 489 10495029
  17. [20]McNaughton B Barnes C Gerrard J Gothard K Jung M 1996 Deciphering the hippocampal polyglot: the hippocampus as a path integration system. J Exp Biol 199 173 185 8576689
  18. [21]Samsonovich A McNaughton BL 1997 Path integration and cognitive mapping in a continuous attractor neural network model. J Neurosci 17 5900 5920 9221787 PMC6573219
  19. [23]Zhang K 1996 Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory. J Neurosci 16 2112 2126 8604055 PMC6578512
  20. [25]Fuhs MC Touretzky DS 2006 A spin glass model of path integration in rat medial entorhinal cortex. J Neurosci 26 4266 4276 16624947 PMC6674007
  21. [28]Stringer SM Rolls ET Trappenberg TP 2004 Self-organising continuous attractor networks with multiple activity packets, and the representation of space. Neural Networks 17 5 27 14690703
  22. [29]Roudi Y Treves A 2008 Representing where along with what information in a model of a cortical patch. PLoS Computl Biol 4 e1000012 PMC2268242 18369416
  23. [30]Leutgeb JK Leutgeb S Treves A Meyer R Barnes CA 2005 Progressive transformation of hippocampal neuronal representations in “morphed” environments. Neuron 48 345 358 16242413
  24. [31]Wills TJ Lever C Cacucci F Burgess N O'Keefe J 2005 Attractor dynamics in the hippocampal representation of the local environment. Science 308 873 876 15879220 PMC2680068
  25. [34]Bernacchia A Amit DJ 2007 Impact of spatiotemporally correlated images on the structure of memory. Proc Natl Acad Sci U S A 104 3544 3549 17360679 PMC1805598
  26. [35]Preminger S Sagi D Tsodyks M 2007 The effects of perceptual history on memory of visual objects. Vision Res 47 965 973 17300824
  27. [36]Papp G Witter MP Treves A 2007 The ca3 network as a memory store for spatial representations. Learn Mem 14 732 744 18007017
  28. [37]Hansel D Sompolinsky H 1998 Methods in Neuronal Modeling. From Synapse to Networks. Koch C and Segev I, editors, MIT Press, Cambridge, MA. Chapter Modeling Feature Selectivity in Local Cortical Circuits. 13
  29. [38]Wilson HR Cowan JD 1973 A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13 55 80 4767470
  30. [39]Samsonovich A 1998 Hierarchical multichart model of the hippocampal cognitive map. Proceedings of the fifth joint symposium on neural computation
  31. [40]Tanaka K Saito H 1989 Analysis of motion of the visual field by direction, expansion/contraction, and rotation cells clustered in the dorsal part of the medial superior temporal area of the macaque monkey. J Neurophysiol 62 626 641 2769351
  32. [41]Zhang LI Tan AYY Schreiner CE Merzenich MM 2003 Topography and synaptic shaping of direction selectivity in primary auditory cortex. Nature 424 201 205 12853959
  33. [42]Barak O Tsodyks M Hernandez A Romo R 2010 Neuronal population coding of parametric working memory. J Neurosci in Press PMC6632447 20631171
  34. [43]Fyhn M Hafting T Treves A Moser MB Moser EI 2007 Hippocampal remapping and grid realignment in entorhinal cortex. Nature 446 190 194 17322902
  35. [44]Colgin LL Moser EI Moser MB 2008 Understanding memory through hippocampal remapping. Trends Neurosci 31 469 477 18687478
  36. [45]Battaglia FP Sutherland GR McNaughton BL 2004 Local sensory cues and place cell directionality: Additional evidence of prospective coding in the hippocampus. J Neurosci 24 4541 4550 15140925 PMC6729394
  37. [46]Tsodyks MV Skaggs WE Sejnowski TJ McNaughton BL 1996 Population dynamics and theta rhythm phase precession of hippocampal place cell firing: a spiking neuron model. Hippocampus 6 271 280 8841826
  38. [47]York L van Rossum M 2009 Recurrent networks with short term synaptic depression. J Comput Neurosci 27 607 620 19578989
  39. [48]Tsodyks MV Markram H 1997 The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. Proc Natl Acad Sci U S A 94 719 723 9012851 PMC19580
  40. [49]Abbott LF Varela JA Sen K Nelson SB 1997 Synaptic depression and cortical gain control. Science 275 220 224 8985017
  41. [50]Tsodyks M Pawelzik K Markram H 1998 Neural networks with dynamic synapses. Neural Comput 10 821 835 9573407
  42. [51]Romani S Amit D Mongillo G 2006 Mean-field analysis of selective persistent activity in presence of short-term synaptic depression. J Comput Neurosci 20 201 217 16699842
  43. [52]Barak O Tsodyks M 2007 Persistent activity in neural networks with dynamic synapses. PLoS Comput Biol 3 e35 17319739 PMC1808024
  44. [53]Mongillo G Barak O Tsodyks M 2008 Synaptic theory of working memory. Science 319 1543 1546 18339943

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Authors
Romani, S., & Tsodyks, M.
Affiliations
Weizmann Institute of Science (IL)
Corresponding author
Tsodyks, Misha
Venue
PLoS Computational Biology
Published
2010-08-05
Volume
6
Issue
8
Pages
e1000869
ISSN
  • 1553-734X (ISSN-L)
  • 1553-7358
OpenAlex
W1988510861
Cited by
39
References
5
Citations by year
2026: 3 · 2025: 2 · 2024: 1 · 2023: 12 · 2022: 1 · 2021: 2 · 2020: 1 · 2019: 1 · 2018: 1 · 2017: 1 · 2016: 2 · 2015: 1 · 2014: 5 · 2013: 1 · 2012: 1
FWCI
1.16
Type
journal article
Language
en
Open access
Locations
  • PLoS Computational Biology (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
Topics
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Memory and Neural Mechanisms
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
  • Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
Keywords
continuous attractor networks, spatial representation, remapping, direction selectivity, tuning curves
MeSH terms
Animals, Computer Simulation, Discrimination, Psychological, Hippocampus, Models, Biological, Numerical Analysis, Computer-Assisted, Neural Networks, Computer

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