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Background-activity-dependent properties of a network model for working memory that incorporates cellular bistability

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Abstract.

In models of working memory, transient stimuli are encoded by feature-selective persistent neural activity. Network models of working memory are also implicitly bistable. In the absence of a brief stimulus, only spontaneous, low-level, and presumably nonpatterned neural activity is seen. In many working-memory models, local recurrent excitation combined with long-range inhibition (Mexican hat coupling) can result in a network-induced, spatially localized persistent activity or “bump state” that coexists with a stable uniform state. There is now renewed interest in the concept that individual neurons might have some intrinsic ability to sustain persistent activity without recurrent network interactions. A recent visuospatial working-memory model (Camperi and Wang 1998) incorporates both intrinsic bistability of individual neurons within a firing rate network model and a single population of neurons on a ring with lateral inhibitory coupling. We have explored this model in more detail and have characterized the response properties with changes in background synaptic input I o and stimulus width. We find that only a small range of I o yields a working-memory-like coexistence of bump and uniform solutions that are both stable. There is a rather larger range where only the bump solution is stable that might correspond instead to a feature-selective long-term memory. Such a network therefore requires careful tuning to exhibit working-memory-like function. Interestingly, where bumps and uniform stable states coexist, we find a continuous family of stable bumps representing stimulus width. Thus, in the range of parameters corresponding to working memory, the model is capable of capturing a two-parameter family of stimulus features including both orientation and width.

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References

  • S Amari (1977) ArticleTitleDynamics of pattern formation in lateral-inhibition type neural fields Biol Cybern 27 IssueID2 77–87 Occurrence Handle10.1007/BF00337259 Occurrence Handle911931

    Article  PubMed  Google Scholar 

  • A Arieli D Shoham R Hildesheim A Grinvald (1995) ArticleTitleCoherent spatiotemporal patterns of ongoing activity revealed by real-time optical imaging coupled with single-unit recording in the cat visual cortex J Neurophysiol 73 IssueID5 2072–2093 Occurrence Handle7623099

    PubMed  Google Scholar 

  • R Ben-Yishai RL Bar-Or H Sompolinsky (1995) ArticleTitleTheory of orientation tuning in visual cortex Proc Natl Acad Sci USA 92 IssueID9 3844–3848 Occurrence Handle7731993

    PubMed  Google Scholar 

  • V Booth J Rinzel (1995) ArticleTitleA minimal, compartmental model for a dendritic origin of bistability of motoneuron firing patterns J Comput Neurosci 2 IssueID4 299–312 Occurrence Handle10.1007/BF00961442 Occurrence Handle8746404

    Article  PubMed  Google Scholar 

  • PC Bressloff S Coombes (1998) ArticleTitleSpike train dynamics underlying pattern formation in integrate-and-fire oscillator networks Phys Rev Lett 81 IssueID11 2384–2387 Occurrence Handle10.1103/PhysRevLett.81.2384

    Article  Google Scholar 

  • M Camperi XJ Wang (1998) ArticleTitleA model of visuospatial working memory in prefrontal cortex: recurrent network and cellular bistability J Comput Neurosci 5 IssueID4 383–405 Occurrence Handle10.1023/A:1008837311948 Occurrence Handle9877021

    Article  PubMed  Google Scholar 

  • D Durstewitz JK Seamans TJ Sejnowski (2000) ArticleTitleNeurocomputational models of working memory Nat Neurosci 3(Suppl) 1184–1191 Occurrence Handle10.1038/81460

    Article  Google Scholar 

  • AV Egorov BN Hamam E Fransen ME Hasselmo AA Alonso (2002) ArticleTitleGraded persistent activity in entorhinal cortex neurons Nature 420 IssueID6912 173–178 Occurrence Handle10.1038/nature01171 Occurrence Handle12432392

    Article  PubMed  Google Scholar 

  • GB Ermentrout JD Cowan (1979) ArticleTitleA mathematical theory of visual hallucination patterns Biol Cybern 34 IssueID3 137–150 Occurrence Handle10.1007/BF00336965 Occurrence Handle486593

    Article  PubMed  Google Scholar 

  • JM Fuster (1988) The prefrontal cortex Raven Press New York

    Google Scholar 

  • PS Goldman-Rakic (1995) ArticleTitleCellular basis of working memory Neuron 14 477–485 Occurrence Handle10.1016/0896-6273(95)90304-6 Occurrence Handle7695894

    Article  PubMed  Google Scholar 

  • A Grinvald A Manker M Segal (1982) ArticleTitleVisualization of the spread of electrical activity in rat hippocampal slices by voltage-sensitive optical probes J Physiol Lond 333 269–291 Occurrence Handle7182467

    PubMed  Google Scholar 

  • AJ Gruber SA Solla DJ Surmeier JC Houk (2003) ArticleTitleModulation of striatal single units by expected reward: a spiny neuron model displaying dopamine-induced bistability J Neurophysiol 90 IssueID2 1095–1114 Occurrence Handle12649314

    PubMed  Google Scholar 

  • Y Ikegaya G Aaron R Cossart D Aronov I Lampl D Ferster R Yuste (2004) ArticleTitleSynfire chains and cortical songs: temporal modules of cortical activity Science 304 IssueID5670 559–564 Occurrence Handle10.1126/science.1093173 Occurrence Handle15105494

    Article  PubMed  Google Scholar 

  • CR Laing CC Chow (2001) ArticleTitleStationary bumps in networks of spiking neurons Neural Comput 13 IssueID7 1473–1494 Occurrence Handle10.1162/089976601750264974 Occurrence Handle11440594

    Article  PubMed  Google Scholar 

  • Y Loewenstein H Sompolinsky (2003) ArticleTitleTemporal integration by calcium dynamics in a model neuron Nat Neurosci 6 IssueID9 961–967 Occurrence Handle10.1038/nn1109 Occurrence Handle12937421

    Article  PubMed  Google Scholar 

  • JD Murray (1989) Mathematical biology Springer Berlin Heidelberg New York

    Google Scholar 

  • Q Ouyang HL Swinney (1991) ArticleTitleTransition from a uniform state to hexagonal and striped Turing patterns Nature 352 610–612 Occurrence Handle10.1038/352610a0

    Article  Google Scholar 

  • JE Pearson (1993) ArticleTitleComplex patterns in a simple system Science 261 IssueID5118 189–192

    Google Scholar 

  • ZA Peterlin J Kozloski BQ Mao A Tsiola R Yuste (2000) ArticleTitleOptical probing of neuronal circuits with calcium indicators Proc Natl Acad Sci USA 97 IssueID7 3619–3624 Occurrence Handle10.1073/pnas.97.7.3619 Occurrence Handle10737806

    Article  PubMed  Google Scholar 

  • J Tegner A Compte XJ Wang (2002) ArticleTitleThe dynamical stability of reverberatory neural circuits Biol Cybern 87 IssueID5–6 471–481 Occurrence Handle10.1007/s00422-002-0363-9 Occurrence Handle12461636

    Article  PubMed  Google Scholar 

  • XJ Wang (2001) ArticleTitleSynaptic reverberation underlying mnemonic persistent activity Trends Neurosci 24 IssueID8 455–463 Occurrence Handle10.1016/S0166-2236(00)01868-3 Occurrence Handle11476885

    Article  PubMed  Google Scholar 

  • HR Wilson JD Cowan (1972) ArticleTitleExcitatory and inhibitory interactions in localized populations of model neurons Biophys J 12 IssueID1 1–24 Occurrence Handle4332108

    PubMed  Google Scholar 

  • HR Wilson JD Cowan (1973) ArticleTitleA mathematical theory of the functional dynamics of cortical and thalamic nervous tissue Kybernetik 13 IssueID2 55–80 Occurrence Handle10.1007/BF00288786 Occurrence Handle4767470

    Article  PubMed  Google Scholar 

  • K Zhang (1996) ArticleTitleRepresentation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory J Neurosci 16 IssueID6 2112–2126 Occurrence Handle8604055

    PubMed  Google Scholar 

Download references

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Authors and Affiliations

  1. New York University Center for Neural Science, New York, NY, 10003, USA

    Christopher P. Fall, Timothy J. Lewis & John Rinzel

  2. Courant Institute of Mathematical Science, New York University, New York, NY, 10012, USA

    Timothy J. Lewis & John Rinzel

Authors
  1. Christopher P. Fall
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  2. Timothy J. Lewis
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  3. John Rinzel
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Correspondence to Christopher P. Fall.

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Fall, C., Lewis, T. & Rinzel, J. Background-activity-dependent properties of a network model for working memory that incorporates cellular bistability. Biol Cybern 93, 109–118 (2005). https://doi.org/10.1007/s00422-005-0543-5

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  • DOI: https://doi.org/10.1007/s00422-005-0543-5

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