Epileptic seizures: Quakes of the brain?

Osorio, Iva N.; Frei, Mark G.; Sornette, Didier; Milton, John; Lai, Ying–Cheng

doi:10.1103/physreve.82.021919

Cited by 125 publications

(139 citation statements)

References 60 publications

(24 reference statements)

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“…To explain how this method of statistical analysis works and to highlight its broad range of applications, let us adopt the perspective advocated by Osorio et al [40] establishing a surprising analogy between geophysical and neurophysiological quakes. Let us imagine that each firing is a quake, and let us address the issue of assessing if these quakes are predictable or not.…”

Section: Cooperation-induced Renewal Breakingmentioning

confidence: 99%

Cooperation in neural systems: Bridging complexity and periodicity

Zare

Grigolini

2012

Phys. Rev. E

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Inverse power law distributions are generally interpreted as a manifestation of complexity, and waiting time distributions with power index μ < 2 reflect the occurrence of ergodicity-breaking renewal events. In this paper we show how to combine these properties with the apparently foreign clocklike nature of biological processes. We use a two-dimensional regular network of leaky integrate-and-fire neurons, each of which is linked to its four nearest neighbors, to show that both complexity and periodicity are generated by locality breakdown: Links of increasing strength have the effect of turning local interactions into long-range interactions, thereby generating time complexity followed by time periodicity. Increasing the density of neuron firings reduces the influence of periodicity, thus creating a cooperation-induced renewal condition that is distinctly non-Poissonian.

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Section: Cooperation-induced Renewal Breakingmentioning

confidence: 99%

Cooperation in neural systems: Bridging complexity and periodicity

Zare

Grigolini

2012

Phys. Rev. E

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“…This can be explained by the decreased variance and improved estimation of the underlying distribution of the inter-seizure intervals for large k, and the larger number of seizures available. However, for most epilepsy patients both long and very short intervals occur [22,23], such that in these cases an adequate number of seizures has to be ensured. M than correct predictions.…”

Section: B Resultsmentioning

confidence: 99%

Statistical validation of event predictors: A comparative study based on the field of seizure prediction

et al. 2011

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The prediction of events is of substantial interest in many research areas. To evaluate the performance of prediction methods, the statistical validation of these methods is of utmost importance. Here, we compare an analytical validation method to numerical approaches that are based on Monte Carlo simulations. The comparison is performed in the field of the prediction of epileptic seizures. In contrast to the analytical validation method, we found that for numerical validation methods insufficient but realistic sample sizes can lead to invalid high rates of false positive conclusions. Hence we outline necessary preconditions for sound statistical tests on above chance predictions.Original Publication: Hinnerk Feldwisch-Drentrup, Andreas Schulze-Bonhage, Jens Timmer and Bjoern Schelter, Statistical validation of event predictors: A comparative study based on the field of seizure prediction, 2011, Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, (83), 6, 066704. http://dx.doi.org/10.1103/PhysRevE.83.066704 Copyright: American Physical Society http://www.aps.org

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“…In this paper, we investigate the synchronization behavior of weakly coupled "earthquake oscillations". Such oscillations in the earth's crust and the epileptic brain show certain commonalities in that the distributions of energies and recurrence times exhibit similar power-law behavior (Herz and Hopfield, 1995;Rundle et al, 2003;Osorio et al, 2010;Chialvo, 2010). A growing interest in understanding the behavior of earthquakes and epileptic seizures with a view to exploring possible forecasting methods is one reason for the present study.…”

Section: K Vasudevan Et Al: Earthquake Sequencing: Chimera States Wmentioning

confidence: 99%

Earthquake sequencing: chimera states with Kuramoto model dynamics on directed graphs

Vasudevan

Cavers

Ware

2015

Nonlin. Processes Geophys.

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Abstract. Earthquake sequencing studies allow us to investigate empirical relationships among spatio-temporal parameters describing the complexity of earthquake properties. We have recently studied the relevance of Markov chain models to draw information from global earthquake catalogues. In these studies, we considered directed graphs as graph theoretic representations of the Markov chain model and analyzed their properties. Here, we look at earthquake sequencing itself as a directed graph. In general, earthquakes are occurrences resulting from significant stress interactions among faults. As a result, stress-field fluctuations evolve continuously. We propose that they are akin to the dynamics of the collective behavior of weakly coupled non-linear oscillators. Since mapping of global stress-field fluctuations in real time at all scales is an impossible task, we consider an earthquake zone as a proxy for a collection of weakly coupled oscillators, the dynamics of which would be appropriate for the ubiquitous Kuramoto model. In the present work, we apply the Kuramoto model with phase lag to the nonlinear dynamics on a directed graph of a sequence of earthquakes. For directed graphs with certain properties, the Kuramoto model yields synchronization, and inclusion of nonlocal effects evokes the occurrence of chimera states or the co-existence of synchronous and asynchronous behavior of oscillators. In this paper, we show how we build the directed graphs derived from global seismicity data. Then, we present conditions under which chimera states could occur and, subsequently, point out the role of the Kuramoto model in understanding the evolution of synchronous and asynchronous regions. We surmise that one implication of the emergence of chimera states will lead to investigation of the present and other mathematical models in detail to generate global chimera-state maps similar to global seismicity maps for earthquake forecasting studies.

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Epileptic seizures: Quakes of the brain?

Cited by 125 publications

References 60 publications

Cooperation in neural systems: Bridging complexity and periodicity

Cooperation in neural systems: Bridging complexity and periodicity

Statistical validation of event predictors: A comparative study based on the field of seizure prediction

Earthquake sequencing: chimera states with Kuramoto model dynamics on directed graphs

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