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Understanding brain dynamics in epilepsy is critical for establishing rigorous control objectives that enable new therapeutic methods to mitigate seizure occurrence. In multichannel electrocorticography (ECoG) recordings acquired in 21…

Many neuronal systems and models display a certain class of mixed mode oscillations (MMOs) consisting of periods of small amplitude oscillations interspersed with spikes. Various models with different underlying mechanisms have been…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Peter Borowski , Rachel Kuske , Yue-Xian Li , Juan Luis Cabrera

For the past few years, we have developed flexible, active, multiplexed recording devices for high resolution recording over large, clinically relevant areas in the brain. While this technology has enabled a much higher-resolution view of…

Neurons and Cognition · Quantitative Biology 2017-06-06 Yilin Song , Jonathan Viventi , Yao Wang

This review provides a dynamical systems perspective on psychiatric symptoms and disease, and discusses its potential implications for diagnosis, prognosis, and treatment. After a brief introduction into the theory of dynamical systems, we…

Neurons and Cognition · Quantitative Biology 2018-09-18 Daniel Durstewitz , Quentin J. M. Huys , Georgia Koppe

Changes in brain states, as found in many neurological diseases such as epilepsy, are often described as bifurcations in mesoscopic neural models. Nearly all of these models rely on a mathematically convenient, but biophysically inaccurate,…

Neurons and Cognition · Quantitative Biology 2018-12-19 Andre D. H. Peterson , Hamish Meffin , Mark J. Cook , David B. Grayden , Iven M. Y Mareels , Anthony N. Burkitt

Recent studies have shown that seizures can spread and terminate across brain areas via a rich diversity of spatiotemporal patterns. In particular, while the location of the seizure onset area is usually in-variant across seizures in a same…

Neurons and Cognition · Quantitative Biology 2018-05-09 Timothée Proix , Viktor K. Jirsa , Fabrice Bartolomei , Maxime Guye , Wilson Truccolo

The presence of spikes and sharp waves in the recordings of epileptic patients may contaminate background signal synchronization in different ways. In this Technical Note, we present a simple procedure for assessing whether a particular…

Neurons and Cognition · Quantitative Biology 2012-11-27 Jesús Pastor , Guillermo Ortega

Epilepsy is a common, chronic neurological disorder characterized by recurrent seizures caused by sudden bursts of abnormal electrical activity in the brain. Seizures can often be unpredictable, leading to uncertainty and anxiety for people…

Human-Computer Interaction · Computer Science 2026-04-21 Berenika Ewart-James , Matthew Wragg , Nawid Keshtmand , Amberly Brigden , Paul Marshall , Raul Santos-Rodriguez

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger

Epilepsy is a neurological disease characterized by recurrent and spontaneous seizures. It affects approximately 50 million people worldwide. In majority of the cases accurate diagnosis of the disease can be made without using any…

Quantitative Methods · Quantitative Biology 2013-04-05 Roxana A. Stephanescu , R. G. Shivakeshavan , Sachin S. Talathi

Epilepsy is a neurological brain disorder which life threatening and gives rise to recurrent seizures that are unprovoked. It occurs due to the abnormal chemical changes in our brain. Over the course of many years, studies have been…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Muhammad Shoaib Farooq , Aimen Zulfiqar , Shamyla Riaz

An adaptive network model using SIS epidemic propagation with link-type dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochastic simulation is carried out,…

Probability · Mathematics 2014-10-21 András Szabó-Solticzky , Luc Berthouze , Istvan Z. Kiss , Péter L. Simon

Accurate prediction of epileptic seizures has remained elusive, despite the many advances in machine learning and time-series classification. In this work, we develop a convolutional network module that exploits Electroencephalogram (EEG)…

Image and Video Processing · Electrical Eng. & Systems 2020-07-24 Ramy Hussein , Soojin Lee , Rabab Ward , Martin J. McKeown

Epileptic seizures are transient neurological events characterized by abnormal and excessive neuron activity in the brain, which are often associated with measurable disturbances in the cardiovascular system. Traditionally,…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Mohammad Reza Chopannavaz , Foad Ghaderi

Hyperdimensional computing is a promising novel paradigm for low-power embedded machine learning. It has been applied on different biomedical applications, and particularly on epileptic seizure detection. Unfortunately, due to differences…

Signal Processing · Electrical Eng. & Systems 2021-12-20 Una Pale , Tomas Teijeiro , David Atienza

Over the past two decades, an increasing array of control-theoretic methods have been used to study the brain as a complex dynamical system and better understand its structure-function relationship. This article provides an overview on one…

Neurons and Cognition · Quantitative Biology 2024-10-18 Michael McCreesh , Erfan Nozari , Jorge Cortes

Focal epilepsy is a devastating neurological disorder that affects an overwhelming number of patients worldwide, many of whom prove resistant to medication. The efficacy of current innovative technologies for the treatment of these patients…

Among the versatile forms of dynamical patterns of activity exhibited by the brain, oscillations are one of the most salient and extensively studied, yet are still far from being well understood. In this paper, we provide various structural…

Systems and Control · Electrical Eng. & Systems 2021-08-12 Erfan Nozari , Robert Planas , Jorge Cortes

We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the network remodelling process is very fast, the…

Information transmission in the human brain is a fundamentally dynamic network process. In partial epilepsy, this process is perturbed and highly synchronous seizures originate in a local network, the so-called epileptogenic zone (EZ),…

Neurons and Cognition · Quantitative Biology 2019-06-19 Simona Olmi , Spase Petkoski , Maxime Guye , Fabrice Bartolomei , Viktor Jirsa