Perturbations Both Trigger and Delay Seizures due to Generic Properties of Slow-fast Relaxation Oscillators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00541856" target="_blank" >RIV/67985807:_____/21:00541856 - isvavai.cz</a>
Alternative codes found
RIV/00023752:_____/21:43920585
Result on the web
<a href="http://hdl.handle.net/11104/0319363" target="_blank" >http://hdl.handle.net/11104/0319363</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1371/journal.pcbi.1008521" target="_blank" >10.1371/journal.pcbi.1008521</a>
Alternative languages
Result language
angličtina
Original language name
Perturbations Both Trigger and Delay Seizures due to Generic Properties of Slow-fast Relaxation Oscillators
Original language description
The mechanisms underlying the emergence of seizures are one of the most important unresolved issues in epilepsy research. In this paper, we study how perturbations, exogenous or endogenous, may promote or delay seizure emergence. To this aim, due to the increasingly adopted view of epileptic dynamics in terms of slow-fast systems, we perform a theoretical analysis of the phase response of a generic relaxation oscillator. As relaxation oscillators are effectively bistable systems at the fast time scale, it is intuitive that perturbations of the non-seizing state with a suitable direction and amplitude may cause an immediate transition to seizure. By contrast, and perhaps less intuitively, smaller amplitude perturbations have been found to delay the spontaneous seizure initiation. By studying the isochrons of relaxation oscillators, we show that this is a generic phenomenon, with the size of such delay depending on the slow flow component. Therefore, depending on perturbation amplitudes, frequency and timing, a train of perturbations causes an occurrence increase, decrease or complete suppression of seizures. This dependence lends itself to analysis and mechanistic understanding through methods outlined in this paper. We illustrate this methodology by computing the isochrons, phase response curves and the response to perturbations in several epileptic models possessing different slow vector fields. While our theoretical results are applicable to any planar relaxation oscillator, in the motivating context of epilepsy they elucidate mechanisms of triggering and abating seizures, thus suggesting stimulation strategies with effects ranging from mere delaying to full suppression of seizures.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LO1611" target="_blank" >LO1611: Sustainability for The National Institute of Mental Health</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PLoS Computational Biology
ISSN
1553-734X
e-ISSN
1553-7358
Volume of the periodical
17
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
e1008521
UT code for WoS article
000636251300003
EID of the result in the Scopus database
2-s2.0-85104160233