Extreme events in epileptic EEG of rodents after ischemic stroke

Pisarchik, Alexander N.; Grubov, Vadim V.; Maksimenko, Vladimir A.; Lüttjohann, Annika; Frolov, Nikita S.; Marqués-Pascual, C.; González‐Nieto, Daniel; Khramova, Marina V.; Hramov, Alexander E.

doi:10.1140/epjst/e2018-800019-1

Cited by 36 publications

(14 citation statements)

References 45 publications

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“…On the contrary, when the threshold level is kept unchanged, η = 1 , the statistics of intervals between the sequential extreme events, 10) decays asymptotically algebraically as t 1 [71,72] . For example, in the special case of uniformly random updates of the threshold and log-return values, the probability function (4.10) decays algebraically as…”

Section: Statistics Of Extreme Events Under Threshold Uncertaintymentioning

confidence: 99%

“…The intersection of the three dimensions provides a detailed scale for defining any emergency [8] . In some papers, the threshold for an extreme event is related to the number of standard deviations from the average amplitude [9,10] . However, existing empirical scales tend to describe the characteristics of the event itself rather that the consequences; such scales are ill-suited to describe emergencies in a way that is meaningful for response [11] .…”

Section: Introductionmentioning

confidence: 99%

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Invited article by M. Gidea Extreme events and emergency scales

Smirnov

Volchenkov

2020

Communications in Nonlinear Science and Numerical Simulation

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An event is extreme if its magnitude exceeds the threshold. A choice of a threshold is subject to uncertainty caused by a method, the size of available data, a hypothesis on statistics, etc. We assess the degree of uncertainty by the Shannon's entropy calculated on the probability that the threshold changes at any given time. If the amount of data is not sufficient, an observer is in the state of Lewis Carroll's Red Queen who said "When you say hill, I could show you hills, in comparison with which you'd call that a valley". If we have enough data, the uncertainty curve peaks at two values clearly separating the magnitudes of events into three emergency scales: subcritical, critical, and extreme. Our approach to defining the emergency scale is validated by 39 years of Standard and Poor's 500 (S&P500) historical data.

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Section: Statistics Of Extreme Events Under Threshold Uncertaintymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Invited article by M. Gidea Extreme events and emergency scales

Smirnov

Volchenkov

2020

Communications in Nonlinear Science and Numerical Simulation

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“…Three papers focus on the analysis of nonlinear and complex real signals obtained from patients. In paper [28], extreme events are shown on electroencephalographic (EEG) recordings of rodents with induced ischemic stroke. These events represent themselves as post-stroke epileptic seizures in the form of spontaneous high-amplitude oscillations, which appear during the first 2-3 hours after induced focal cerebral ischemia.…”

Section: The European Physical Journal Special Topicsmentioning

confidence: 99%

Nonlinear effects in life sciences

Kapitaniak

Jafari

2018

Eur. Phys. J. Spec. Top.

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“…Further, in real-time engineering applications, these events are found in laser systems, plasma, optical fibers, and superfluid helium [6,7,28,29]. In addition to the above, the extreme events have also been found to occur in experiments such as epileptic EEG studies in rodents, annular wave flume, and climatic studies [8,30,31], to name a few.…”

Section: Introductionmentioning

confidence: 97%

Emergence and mitigation of extreme events in a parametrically driven system with velocity-dependent potential

Sudharsan

Venkatesan²,

Muruganandam

et al. 2021

Eur. Phys. J. Plus

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In this paper, we discuss the emergence of extreme events in a parametrically driven nonpolynomial mechanical system with a velocity-dependent potential. We confirm the occurrence of extreme events from the probability distribution function of the peaks, which exhibits a longtail. We also present the mechanism for the occurrence of extreme events. We found that the probability of occurrence of extreme events alternatively increase and decrease with a brief region where the probability is zero. At the point of highest probability of extreme events, when the system is driven externally, we find that the probability decreases to zero. Our investigation confirms that the external drive can be used as an useful tool to mitigate extreme events in this nonlinear dynamical system. Through two parameter diagrams, we also demonstrate the regions where extreme events gets suppressed. In addition to the above, we show that extreme events persits when the sytem is influenced by noise and even gets transformed to super-extreme events when the state variable is influenced by noise.

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Extreme events in epileptic EEG of rodents after ischemic stroke

Cited by 36 publications

References 45 publications

Invited article by M. Gidea Extreme events and emergency scales

Invited article by M. Gidea Extreme events and emergency scales

Nonlinear effects in life sciences

Emergence and mitigation of extreme events in a parametrically driven system with velocity-dependent potential

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