We compare time series of electroencephalograms (EEGs) from healthy volunteers with EEGs from subjects diagnosed with epilepsy. The EEG time series from the healthy group are recorded during awake state with their eyes open and eyes closed, and the records from subjects with epilepsy are taken from three different recording regions of pre-surgical diagnosis: hippocampal, epileptogenic and seizure zone. The comparisons for these 5 categories are in terms of deviations from linear time series models with constant variance Gaussian white noise error inputs. One feature investigated is directionality, and how this can be modelled by either non-linear threshold autoregressive models or non-Gaussian errors. A second feature is volatility, which is modelled by Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) processes. Other features include the proportion of variability accounted for by time series models, and the skewness and the kurtosis of the residuals. The results suggest these comparisons may have diagnostic potential for epilepsy and provide early warning of seizures.

1.
G.
Petkov
,
M.
Goodfellow
,
M. P.
Richardson
, and
J. R.
Terry
,
Frontiers in Neurology
,
5
(
261
),
1
7
(
2014
)
2.
F.
Miraglia
,
F.
Vecchio
,
P.
Bramanti
, and
P. M.
Rossini
,
Clinical Neurophysiology
,
1261
1268
(
2016
).
3.
R. G.
Andrzejak
,
K.
Lehnertz
,
F.
Mormann
,
C.
Rieke
,
P.
David
, and
C. E.
Elger
,
Physical Review E
64
(6; PART 1
),
061907-1
061907-8
(
2001
).
4.
A. J.
Lawrance
,
International Statistical Review/Revue Internationale de Statistique
,
JSTOR
59
(
1
),
67
79
(
1991
).
5.
M. M.
Mansor
,
M. E.
Glonek
,
D. A.
Green
, and
A. V.
Metcalfe
,
Proceedings of the International Work-conference on Time Series (ITISE 2015)
, edited by
O.
Valenzuela
,
F.
Rojas
,
H.
Pomares
, and
I.
Rojas
(
Granada
,
2015
), pp.
755
766
.
6.
M. M.
Mansor
,
D. A.
Green
, and
A. V.
Metcalfe
,
Proceedings of the 21st International Congress on Modelling and Simulation (MODSIM 2015)
, edited by
T.
Weber
,
M. J.
McPhee
, and
R. S.
Anderssen
(
Gold Coast
,
2015
), pp.
1022
1028
.
7.
M. M.
Mansor
,
F. L. Mohd.
Isa
,
D. A.
Green
, and
A. V.
Metcalfe
,
Proceedings of the 12th Engineering Mathematics and Applications Conference (EMAC 2015)
, edited by
M. I.
Nelson
(
ANZIAM-E Journal
,
Adelaide
,
2016
).
8.
M. M.
Mansor
,
M. E.
Glonek
,
D. A.
Green
, and
A. V.
Metcalfe
,
Springer, accepted
: October 2015.
9.
C.
Chatfield
,
The Analysis of Time Series: An Introduction, Sixth Edition
(
Chapman and Hall/CRC Publication
,
2004
).
This content is only available via PDF.
You do not currently have access to this content.