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Nonlinear dynamics of epileptic seizures on basis of intracranial EEG recordings
1997
Brain Topography
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Methods: We calculated the correlation dimension, tested for irreversibility, and made recurrence plots of EEG signals recorded intracranially both during interictal and ictal states in temporal lobe epilepsy ...
Furthermore, the results obtained were in close agreement with visual inspection of the EEG records. ...
Recently, Miiller-Gerking et al. (1996) and Pezard et al. (1996) reported weak evidence of nonlinear dynamics in data recorded from the visual system (of cats, pigeons and humans). ...
doi:10.1007/bf01464480
pmid:9217984
fatcat:6zwdxyn6lbcelbn7uiv7edg324
Stationary determinism in Observed Time Series: the earth's surface temperature
[article]
1999
arXiv
pre-print
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In this work we address the feasibility of estimating and isolating the stationary and deterministic content of observational time series, Ots, which in general have very limited characteristics. ...
In particular, we study the valuable earth's surface mean temperature time series, Tts, by applying several treatments intended to isolate the stationary and deterministic content. ...
Acknowledgments I thank Colciencias (Colombia) and the Universidad Antonio Nariño of Santa Fe de Bogotá, Colombia for their collaboration. ...
arXiv:chao-dyn/9908012v1
fatcat:fwfvoxwfifatzaimkdlmdy7a7y
International Federation of Clinical Neurophysiology (IFCN) – EEG research workgroup: Recommendations on frequency and topographic analysis of resting state EEG rhythms. Part 1: Applications in clinical research studies
2019
Clinical Neurophysiology
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In 1999, the International Federation of Clinical Neurophysiology (IFCN) published "IFCN Guidelines for topographic and frequency analysis of EEGs and EPs" (Nuwer et al., 1999). ...
as neurophysiological experimental studies carried out in neurological and psychiatric patients: (1) recording of rsEEGs (environmental conditions and instructions to participants; montage of the EEG ...
Until the end of their life, they had been working for the development of EEG science and its application in Clinical Neurophysiology. ...
doi:10.1016/j.clinph.2019.06.234
pmid:31501011
fatcat:psp6t4czorbsndn4gp5m4o3elu
Putting the "dynamic" back into dynamic functional connectivity
2018
Network Neuroscience
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In turn, this temporal structure yields many of the phenomena proposed as important to large-scale communication and computation in the brain, such as phase-amplitude coupling, complexity, and flexibility ...
The key issue is that time series generated by coupled nonlinear systems contain a richer temporal structure than matched multivariate (linear) stochastic processes. ...
In comparison, EEG and MEG directly detect field fluctuations and do not suffer the same temporal filtering as fMRI. Analyses of resting-state EEG (Breakspear, 2002; Breakspear & Terry, 2002; C. ...
doi:10.1162/netn_a_00041
pmid:30215031
pmcid:PMC6130444
fatcat:uyitckwyubf73ocfeswa3r3bxa
Seizure prediction: Methods
2011
Epilepsy & Behavior
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In the near future, seizures may be detected and aborted before physical manifestations begin. ...
In this chapter we discuss the algorithms that make these devices possible and how they have been implemented to date. ...
We offer special thanks to the B.J. and Eve Wilder Endowment Fund (P.R.C.). We also thank Ms. Edwyna Hill and Lucia Manubens-Carney for editing the manuscript. ...
doi:10.1016/j.yebeh.2011.09.001
pmid:22078526
pmcid:PMC3233702
fatcat:k7mypytb6bacjgdho5cshgthsy
Interdisciplinary application of nonlinear time series methods
1999
Physics reports
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Recent progress in the detection and understanding of nonstationarity is reported. ...
For signals with weakly nonlinear structure, the presence of nonlinearity in a general sense has to be inferred statistically. ...
My work on nonlinear time series has again and again led to close and enjoyable collaboration with Holger Kantz. ...
doi:10.1016/s0370-1573(98)00035-0
fatcat:2gxiapllmrgsxpm5qgorrhytwm
Putting the "dynamic" back into dynamic functional connectivity
[article]
2017
bioRxiv
pre-print
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In turn, this temporal structure yields many of the phenomena proposed as important to large-scale communication and computation in the brain, such as phase-amplitude coupling, complexity and flexibility ...
The key issue is that time series generated by coupled nonlinear systems contain a richer temporal structure than matched multivariate (linear) stochastic processes. ...
In comparison, EEG and MEG directly detect field fluctuations and do not suffer the same temporal filtering as fMRI. ...
doi:10.1101/181313
fatcat:2coxkoj5ozcvnjoxbjtxas5m4u
Heart rate variability: a review
2006
Medical and Biological Engineering and Computing
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It shows that the structure generating the signal is not only simply linear, but also involves nonlinear contributions. ...
In this paper, we have discussed the various applications of HRV and different linear, frequency domain, wavelet domain, nonlinear techniques used for the analysis of the HRV. ...
Short realizations cause large error bars in the estimation of the chaos parameters; (c) nonstationarity of the biological systems, i.e., ECG, EEG have different modulations influenced by a various external ...
doi:10.1007/s11517-006-0119-0
pmid:17111118
fatcat:merex33vlbhvxbnp5bl2pllwya
A review of symbolic analysis of experimental data
2003
Review of Scientific Instruments
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Novel approaches for characterizing and recognizing temporal patterns can be important for many types of experimental systems, but this is especially true for processes that are nonlinear and possibly ...
In many cases, the degree of discretization can be quite severe, even to the point of converting the original data to single-bit values. ...
"Chaos". ...
doi:10.1063/1.1531823
fatcat:blodbrarirdhzfby3g2ihxve6a
Estimation and Validation of Individualized Dynamic Brain Models with Resting State fMRI
2020
NeuroImage
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A key challenge for neuroscience is to develop generative, causal models of the human nervous system in an individualized, data-driven manner. ...
that are not mechanistic. ...
In this case, random perturbations were added to each parameter and were drawn from the normal distribution with mean zero and SD as indicated. ...
doi:10.1016/j.neuroimage.2020.117046
pmid:32603858
pmcid:PMC7875185
fatcat:c2sbnfd2jraexdrfazppk74faa
International Federation of Clinical Neurophysiology (IFCN) – EEG research workgroup: Recommendations on frequency and topographic analysis of resting state EEG rhythms. Part 1: Applications in clinical research studies
2020
Preserved Fulltext
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In 1999, the International Federation of Clinical Neurophysiology (IFCN) published "IFCN Guidelines for topographic and frequency analysis of EEGs and EPs" (Nuwer et al., 1999) . ...
as neurophysiological experimental studies carried out in neurological and psychiatric patients: (1) recording of rsEEGs (environmental conditions and instructions to participants; montage of the EEG ...
Until the end of their life, they had been working for the development of EEG science and its application in Clinical Neurophysiology. ...
doi:10.5167/uzh-195693
fatcat:yqkzxpksfjgwhfo7mtjc56mwwa
26th Annual Computational Neuroscience Meeting (CNS*2017): Part 2
2017
BMC Neuroscience
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Sompolinsky H, Crisanti A, Sommers HJ: Chaos in Random Neural Net- 1. Sompolinsky H, Crisanti A, and Sommers HJ, Chaos in random neural
works, Phys. Rev. ...
In particular, the dynamics
becomes arbitrary slow at the onset of chaos, similar to ‘critical slowing Connectivity in local cortical networks is far from random: Not only are
down’. ...
doi:10.1186/s12868-017-0371-2
fatcat:jkqnv4rvfvaj5g44xm5snzdqzy
The synchronization of chaotic systems
2002
Physics reports
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Finally, we point out the relevance of chaos synchronization, especially in physiology, nonlinear optics and uid dynamics, and give a review of relevant experimental applications of these ideas and techniques ...
We review major ideas involved in the ÿeld of synchronization of chaotic systems, and present in detail several types of synchronization features: complete synchronization, lag synchronization, generalized ...
It is seen that the chaotic trajectory does not cycle the unstable ÿxed point in all rotations. ...
doi:10.1016/s0370-1573(02)00137-0
fatcat:dlahheobcngbpad6zrm23kdffq
30th Annual Computational Neuroscience Meeting: CNS*2021–Meeting Abstracts
2021
Journal of Computational Neuroscience
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One of the goals of neuroscience is to understand the computational principles that describe the formation of behaviorally relevant signals in the brain, as well as how these computations are realized ...
Programme for Research and Innovation under the Specific Grant Agreement No. 945539 (Human Brain Project SGA3) and No. 785907 (Human Brain Project SGA2). ...
This work is solely the responsibility of the authors and does not necessarily represent the official views of the NIH. ...
doi:10.1007/s10827-021-00801-9
pmid:34931275
pmcid:PMC8687879
fatcat:evpmmfpaivgpxdqpive5xdgmwu
Unified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package
2015
Chaos
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network theory and nonlinear time series analysis. pyunicorn is a fully object-oriented and easily parallelizable package written in the language Python. ...
Additionally, pyunicorn provides insights into the nonlinear dynamics of complex systems as recorded in uni- and multivariate time series from a non-traditional perspective by means of recurrence quantification ...
Research (BMBF) via the Potsdam Research Cluster for Georisk Analysis, Environmental Change and Sustainability ...
doi:10.1063/1.4934554
pmid:26627561
fatcat:qarrincgjnd4bfo2rurr4lj6ym
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