Skip to main content
SpringerLink
Log in

Excitation/Inhibition Patterns in a System of Coupled Cortical Columns

  • Conference paper
Artificial Neural Networks and Machine Learning – ICANN 2014 (ICANN 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8681))

Included in the following conference series:

Abstract

We study how excitation and inhibition are distributed mesoscopically in small brain regions, by means of a computational model of coupled cortical columns described by neural mass models. Two cortical columns coupled bidirectionally through both excitatory and inhibitory connections can spontaneously organize in a regime in which one of the columns is purely excitatory and the other is purely inhibitory, provided the excitatory and inhibitory coupling strengths are adequately tuned. We also study the case of three columns in different coupling configurations (linear array and all-to-all coupling), finding abrupt transitions between heterogeneous and homogeneous excitatory/inhibitory patterns and strong multistability in their distribution.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Douglas, R.J., Martin, K.A., Whitteridge, D.: A canonical microcircuit for neocortex. Neural Computation 1(4), 480–488 (1989)

    Article  Google Scholar 

  2. Amit, D.J.: Modeling brain function: The world of attractor neural networks. Cambridge University Press (1992)

    Google Scholar 

  3. van Vreeswijk, C., Sompolinsky, H.: Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274(5293), 1724–1726 (1996)

    Article  Google Scholar 

  4. Hill, S., Villa, A.E.P.: Dynamic transitions in global network activity influenced by the balance of excitation and inhibtion. Network: Computational Neural Networks 8, 165–184 (1997)

    Article  Google Scholar 

  5. Iglesias, J., García-Ojalvo, J., Villa, A.E.P.: Effect of feedback strength in coupled spiking neural networks. In: Kůrková, V., Neruda, R., Koutník, J. (eds.) ICANN 2008, Part II. LNCS, vol. 5164, pp. 646–654. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  6. van Vreeswijk, C., Sompolinsky, H.: Chaotic balanced state in a model of cortical circuits. Neural Comput. 10(6), 1321–1371 (1998)

    Article  Google Scholar 

  7. Singer, W.: Neuronal synchrony: A versatile code for the definition of relations? Neuron 24(1), 49–65 (1999)

    Article  Google Scholar 

  8. Malagarriga, D., Villa, A.E.P., García-Ojalvo, J., Pons, A.J.: Spontaneous segregation of excitation and inhibition in a system of coupled cortical columns (to be submitted)

    Google Scholar 

  9. Yoshimura, Y., Dantzker, J.L.M., Callaway, E.M.: Excitatory cortical neurons form fine-scale functional networks. Nature 433(7028), 868–873 (2005)

    Article  Google Scholar 

  10. Lopes da Silva, F.H., Hoeks, A., Smits, H., Zetterberg, L.H.: Model of brain rhythmic activity. the alpha-rhythm of the thalamus. Kybernetik 15(1), 27–37 (1974)

    Article  Google Scholar 

  11. Zetterberg, L.H., Kristiansson, L., Mossberg, K.: Performance of a model for a local neuron population. Biol. Cybern. 31(1), 15–26 (1978)

    Article  MATH  Google Scholar 

  12. Jansen, B.H., Rit, V.G.: Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biol. Cybern. 73(4), 357–366 (1995)

    Article  MATH  Google Scholar 

  13. Blackstad, T.W., Osen, K.K., Mugnaini, E.: Pyramidal neurones of the dorsal cochlear nucleus: A golgi and computer reconstruction study in cat. Neuroscience 13, 827–854 (1984)

    Article  Google Scholar 

  14. García-Ojalvo, J., Sancho, J.M.: Noise in spatially extended systems (1999)

    Google Scholar 

  15. Galassi, M., et al.: Gnu scientific library reference manual. 3rd edn. (January 1, 2009)

    Google Scholar 

  16. Hunter, J.D.: Matplotlib: A 2d graphics environment. Computing In Science & Engineering 9(3), 90–95 (2007)

    Article  Google Scholar 

  17. Mariño, J., Schummers, J., Lyon, D.C., Schwabe, L., Beck, O., Wiesing, P., Obermayer, K., Sur, M.: Invariant computations in local cortical networks with balanced excitation and inhibition. Nature Neuroscience 8(2), 194–201 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Edifici Gaia, Rambla Sant Nebridi 22, 08222, Terrassa, Spain

    Daniel Malagarriga & Antonio J. Pons

  2. Neuroheuristic Research Group, Faculty of Business and Economics, University of Lausanne, CH-1015, Lausanne, Switzerland

    Daniel Malagarriga & Alessandro E. P. Villa

  3. Department of Experimental and Health Sciences, Universitat Pompeu Fabra, Barcelona Biomedical Research Park (PRBB), Dr. Aiguader 88, 08003, Barcelona, Spain

    Jordi García-Ojalvo

Authors
  1. Daniel Malagarriga
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alessandro E. P. Villa
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jordi García-Ojalvo
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Antonio J. Pons
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Informatics, University of Hamburg, Vogt-Kölln-Straße 30, 22527, Hamburg, Germany

    Stefan Wermter , Cornelius Weber  & Sven Magg ,  & 

  2. Department of Informatics, Nicolaus Compernicus University, ul. Grudziądzka 5, 87-100, Torun, Poland

    Włodzisław Duch

  3. Department of Modern Languages, University of Helsinki, P.O. Box 24, 00014, Helsinki, Finland

    Timo Honkela

  4. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev str. bl. 25A, 1113, Sofia, Bulgaria

    Petia Koprinkova-Hristova

  5. Institute of Neural Information Processing, University of Ulm, 89069, Oberer Eselsberg, Ulm, Germany

    Günther Palm

  6. Department of Information Systems, Quartier UNIL-Dorigny, Bâtiment Internef, University of Lausanne, 1015, Lausanne, Switzerland

    Alessandro E. P. Villa

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Malagarriga, D., Villa, A.E.P., García-Ojalvo, J., Pons, A.J. (2014). Excitation/Inhibition Patterns in a System of Coupled Cortical Columns. In: Wermter, S., et al. Artificial Neural Networks and Machine Learning – ICANN 2014. ICANN 2014. Lecture Notes in Computer Science, vol 8681. Springer, Cham. https://doi.org/10.1007/978-3-319-11179-7_82

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11179-7_82

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11178-0

  • Online ISBN: 978-3-319-11179-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation