DOI: 10.1098/rsta.2008.0255. Onset of polyspike complexes in a mean-field model of human electroencephalography and its application to absence epilepsy

Onset of polyspike complexes in a mean-field model of human electroencephalography and its application to absence epilepsy

10.1098/rsta.2008.0255

Crossref journal-article

The Royal Society

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

Abstract

In this paper, we introduce a modification of a mean-field model used to describe the brain's electrical activity as recorded via electroencephalography (EEG). The focus of the present study is to understand the mechanisms giving rise to the dynamics observed during absence epilepsy, one of the classical generalized syndromes. A systematic study of the data from a number of different subjects with absence epilepsy demonstrates a wide variety of dynamical phenomena in the recorded EEG. In addition to the classical spike and wave activity, there may be polyspike and wave, wave spike or even no discernible spike–wave onset during seizure events. The model we introduce is able to capture all of these different phenomena and we describe the bifurcations giving rise to these different types of seizure activity. We argue that such a model may provide a useful clinical tool for classifying different subclasses of absence epilepsy.

Bibliography

Marten, F., Rodrigues, S., Benjamin, O., Richardson, M. P., & Terry, J. R. (2009). Onset of polyspike complexes in a mean-field model of human electroencephalography and its application to absence epilepsy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367(1891), 1145â1161.

Authors 5

Frank Marten (first)
Serafim Rodrigues (additional)
Oscar Benjamin (additional)
Mark P Richardson (additional)
John R Terry (additional)

References 26 Referenced 109

Baker C. T. H. Paul C. A. H. & Wille D. R. 1994 Issues in the numerical solution of evolutionary delay differential equations. Report no. 248 Department of Mathematics University of Manchester.
10.1093/cercor/bhj072
10.1111/j.1528-1157.1997.tb01733.x
10.1016/S0140-6736(94)92270-5
10.1111/j.1528-1157.1989.tb05316.x
10.1016/S0167-2789(03)00002-2
10.1038/nrn811
Destexhe A& Sejnowski T.J Thalamocortical assemblies. 2001 Oxford UK:Oxford University Press.
10.1111/j.1528-1157.1995.tb00467.x
10.1111/j.1528-1167.2005.00312.x
Engelborghs K. Luzyanina T. & Samaey G. 2001 DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations. Report no. TW-330 Department of Computer Science K.U. Leuven.
Freeman W.J Mass action in the nervous system. Examination of the neurophysiological basis of adaptive behaviour through the EEG. 1975 New York NY:Academic Press.
10.1097/01.wnp.0000228496.66246.e0
10.1103/PhysRevLett.77.960
10.1007/BF00270757
10.1016/j.clinph.2004.08.025
10.1103/PhysRevE.56.826
10.1103/PhysRevE.65.041924
10.1002/hbm.20032
10.1016/j.physleta.2006.03.003
10.1016/j.physd.2007.06.010
Rodrigues S. Barton D. Szalai R. Benjamin O. Richardson M. P. & Terry J. R. 2008 Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model. Preprint University of Bristol. (10.1007/s10827-009-0166-2)
10.1007/s11071-007-9217-2
Szalai R. 2005 PDDE-CONT: a continuation and bifurcation software for delay-differential equations. Department of Applied Mechanics Budapest University of Technology and Economics.
10.1111/j.1600-0404.2005.00522.x
10.1046/j.1460-9568.2002.01985.x

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, 9:57 p.m.)
Indexed	2 weeks, 4 days ago (Aug. 12, 2025, 5:27 p.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{Marten_2009, title={Onset of polyspike complexes in a mean-field model of human electroencephalography and its application to absence epilepsy}, volume={367}, ISSN={1471-2962}, url={http://dx.doi.org/10.1098/rsta.2008.0255}, DOI={10.1098/rsta.2008.0255}, number={1891}, journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}, publisher={The Royal Society}, author={Marten, Frank and Rodrigues, Serafim and Benjamin, Oscar and Richardson, Mark P and Terry, John R}, year={2009}, month=feb, pages={1145–1161} }

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