DOI: 10.1098/rsta.2008.0260. Neural field dynamics with local and global connectivity and time delay

Neural field dynamics with local and global connectivity and time delay

10.1098/rsta.2008.0260

Crossref journal-article

The Royal Society

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (175)

Abstract

Spatially continuous networks with heterogeneous connections are ubiquitous in biological systems, in particular neural systems. To understand the mutual effects of locally homogeneous and globally heterogeneous connectivity, we investigate the stability of the rest-state activity of a neural field as a function of its connectivity. The variation of the connectivity is operationalized through manipulation of a heterogeneous two-point connection embedded into the otherwise homogeneous connectivity matrix, as well as by variation of connectivity strength and a finite transmission speed. The latter results in a time delay of communication among individual brain areas. We demonstrate that the local connectivity generates the well-known power-law behaviour of the electroencephalographic power spectrum with an exponent close to −2, whereas the global connections generate a more characteristic line spectrum. These spectral characteristics are routinely observed in large-scale topographies of the human brain.

Bibliography

Jirsa, V. K. (2009). Neural field dynamics with local and global connectivity and time delay. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367(1891), 1131â1143.

Authors 1

Viktor K Jirsa (first)

References 45 Referenced 69

10.1007/BF00337259
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Beggs J. M. Klukas J. & Chen W. 2007 Connectivity and dynamics in local cortical networks. In Brain connectivity handbook . Berlin Germany: Springer. (10.1007/978-3-540-71512-2_3)
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Bressler S. L. & McIntosh A. R. 2007 The role of neural context in large-scale neurocognitive network operations. In Brain connectivity handbook . Berlin Germany: Springer. (10.1007/978-3-540-71512-2_14)
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Buzsaki G Rhythms of the brain. 2006 Oxford UK:Oxford University Press. (10.1093/acprof:oso/9780195301069.001.0001)
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Freeman W.J Mass action in the nervous system. 1975 New York NY:Academic Press.
Ghosh A. Rho Y. McIntosh A. R. Kötter R. & Jirsa V. K. 2008 a Noise during rest enables the exploration of the brain's dynamic repertoire. PLoS Comput. Biol. 4 (10) e1000196. (doi:10.1371/journal.pcbi.1000196).
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Mountcastle V.B Perceptual neuroscience: the cerebral cortex. 1998 Cambridge MA:Harvard University Press.
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Nunez P Neocortical dynamics and human EEG rhythms. 1995 New York NY:Oxford University Press.
10.1103/PhysRevLett.98.238102
10.1103/PhysRevE.56.826
Sporns O. 2003 Complex neural dynamics. In Coordination dynamics: issues and trends . Berlin Germany: Springer. (10.1007/978-3-540-39676-5_11)
10.1002/cplx.10015
Sporns O. & Tononi G. 2007 Structural determinants of functional brain dynamics. In Brain connectivity handbook . Berlin Germany: Springer. (10.1007/978-3-540-71512-2_4)
10.1103/PhysRevA.15.319
10.1093/cercor/8.4.310
10.1007/BF02463252
10.1016/S0006-3495(72)86068-5
10.1007/BF00288786
10.1007/BF00202790

Dates

Type	When
Created	16 years, 6 months ago (Feb. 14, 2009, 7:04 a.m.)
Deposited	4 years, 6 months ago (Feb. 17, 2021, 9:56 p.m.)
Indexed	1 month, 3 weeks ago (July 4, 2025, 12:15 a.m.)
Issued	16 years, 6 months ago (Feb. 16, 2009)
Published	16 years, 6 months ago (Feb. 16, 2009)
Published Online	16 years, 6 months ago (Feb. 16, 2009)
Published Print	16 years, 5 months ago (March 28, 2009)

Funders 0

None

BibTeX

@article{Jirsa_2009, title={Neural field dynamics with local and global connectivity and time delay}, volume={367}, ISSN={1471-2962}, url={http://dx.doi.org/10.1098/rsta.2008.0260}, DOI={10.1098/rsta.2008.0260}, number={1891}, journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}, publisher={The Royal Society}, author={Jirsa, Viktor K}, year={2009}, month=feb, pages={1131–1143} }

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