The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A Unifying Explanation of Primary Generalized Seizures Through Nonlinear Brain Modeling and Bifurcation Analysis
Open accessAbstract
The aim of this paper is to explain critical features of the human primary generalized epilepsies by investigating the dynamical bifurcations of a nonlinear model of the brain's mean field dynamics. The model treats the cortex as a medium for the propagation of waves of electrical activity, incorporating key physiological processes such as propagation delays, membrane physiology, and corticothalamic feedback. Previous analyses have demonstrated its descriptive validity in a wide range of healthy states and yielded specific predictions with regards to seizure phenomena. We show that mapping the structure of the nonlinear bifurcation set predicts a number of crucial dynamic processes, including the onset of periodic and chaotic dynamics as well as multistability. Quantitative study of electrophysiological data supports the validity of these predictions. Hence, we argue that the core electrophysiological and cognitive differences between tonic-clonic and absence seizures are predicted and interrelated by the global bifurcation diagram of the model's dynamics. The present study is the first to present a unifying explanation of these generalized seizures using the bifurcation analysis of a dynamical model of the brain.
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Cites
A new method for off-line removal of ocular artifact
Gratton, G., Coles, M. G. H., & Donchin, E. (1983) · Electroencephalography and Clinical Neurophysiology · doi:10.1016/0013-4694(83)90135-9 · Cited by 5,055 · cited 1×
“We model S as SðV Þ = Qmax 1+expð –pðV – hÞ= ffiffiffi 3 p rÞ ; ð1Þ where h is the mean neural firing threshold, r is the standard deviation of this (approximately normally distributed) threshold, and Qmax is the maximum firing rate.”
Cited by
Emerging concepts for the dynamical organization of resting-state activity in the brain
Deco, G., Jirsa, V. K., & McIntosh, A. R. (2011) · Nature reviews. Neuroscience · doi:10.1038/nrn2961 · Cited by 1,798
Dynamic models of large-scale brain activity
Breakspear, M. (2017) · Nature Neuroscience · doi:10.1038/nn.4497 · Cited by 1,239
Self-citationThe dynamic brain: from spiking neurons to neural masses and cortical fields
Deco, G., Jirsa, V. K., Robinson, P. A., Breakspear, M., & Friston, K. (2008) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000092 · Cited by 1,084
Self-citationMathematical framework for large-scale brain network modeling in The Virtual Brain
Sanz-Leon, P., Knock, S. A., Spiegler, A., & Jirsa, V. K. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2015.01.002 · Cited by 356
Dynamic causal modelling: A critical review of the biophysical and statistical foundations
Daunizeau, J., David, O., & Stephan, K. E. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2009.11.062 · Cited by 331
Metadata
- Authors
- Breakspear, M., Roberts, J. A., Terry, J. R., Rodrigues, S., Mahant, N., & Robinson, P. A.
- Venue
- Cerebral Cortex
- Publisher
- Oxford University Press (OUP)
- Published
- 2005-11-09
- Volume
- 16
- Issue
- 9
- Pages
- 1296-1313
- ISSN
- 1047-3211 (ISSN-L)
- 1460-2199
- OpenAlex
- W2160184536
- Cited by
- 459
- References
- 1
- FWCI
- 6.85
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Breakspear, M., Roberts, J. A., Terry, J. R., Rodrigues, S., Mahant, N., & Robinson, P. A. (2006). A Unifying Explanation of Primary Generalized Seizures Through Nonlinear Brain Modeling and Bifurcation Analysis. Cerebral Cortex. https://doi.org/10.1093/cercor/bhj072
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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