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Epilepsy affects nearly 1% of the global population, of which two thirds can be treated by anti-epileptic drugs and a much lower percentage by surgery. Diagnostic procedures for epilepsy and monitoring are highly specialized and…

Signal Processing · Electrical Eng. & Systems 2020-01-20 Tennison Liu , Nhan Duy Truong , Armin Nikpour , Luping Zhou , Omid Kavehei

We discuss the physics of embolic stroke using a minimal model of emboli moving through the cerebral arteries. Our model of the blood flow network consists of a bifurcating tree, into which we introduce particles (emboli) that halt flow on…

Soft Condensed Matter · Physics 2009-11-24 J. P. Hague , E. M. L. Chung

Elucidating the neurophysiological mechanisms underlying neural pattern formation remains an outstanding challenge in Computational Neuroscience. In this paper, we address the issue of understanding the emergence of neural patterns by…

Neurons and Cognition · Quantitative Biology 2024-06-04 Gregory Dumont , Carmen Oana Tarniceriu

A network with local dynamics of logistic type is considered. We implement a mean-field multiplicative coupling among first-neighbor nodes. When the coupling parameter is small the dynamics is dissipated and there is no activity: the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 R. Lopez-Ruiz , Y. Moreno , S. Boccaletti , D. -U. Hwang , A. F. Pacheco

Effective connectivity analysis provides an understanding of the functional organization of the brain by studying how activated regions influence one other. We propose a nonparametric Bayesian approach to model effective connectivity…

Applications · Statistics 2011-07-22 Sourabh Bhattacharya , Ranjan Maitra

Bottom-up models of functionally relevant patterns of neural activity provide an explicit link between neuronal dynamics and computation. A prime example of functional activity pattern is hippocampal replay, which is critical for memory…

Neurons and Cognition · Quantitative Biology 2024-09-30 Bastian Pietras , Valentin Schmutz , Tilo Schwalger

The theta rhythm is important for many cognitive functions including spatial processing, memory encoding, and memory recall. The information processing underlying these functions is thought to rely on consistent, phase-specific spiking…

Neurons and Cognition · Quantitative Biology 2025-10-16 Oleg Makarenkov , Marianne Bezaire , Michael Hasselmo

A simple model that replicates the dynamics of spiking and spiking-bursting activity of real biological neurons is proposed. The model is a two-dimensional map which contains one fast and one slow variable. The mechanisms behind generation…

Chaotic Dynamics · Physics 2009-11-07 Nikolai F. Rulkov

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

Disordered Systems and Neural Networks · Physics 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

Driven by the multi-level structure of human intracranial electroencephalogram (iEEG) recordings of epileptic seizures, we introduce a new variant of a hierarchical Dirichlet Process---the multi-level clustering hierarchical Dirichlet…

Applications · Statistics 2012-06-22 Drausin Wulsin , Shane Jensen , Brian Litt

Epilepsy is a neurological disorder with recurrent seizures of complexity and randomness. Until now, the mechanism of epileptic randomness has not been fully elucidated. Inspired by the recent finding that astrocyte GTPase-activating…

Neurons and Cognition · Quantitative Biology 2024-06-19 JiaJia Li , Peihua Feng , Liang Zhao , Junying Chen , Mengmeng Du , Yangyang Yu , Jian Song , Ying Wu

We examine the dynamical evolution of the state of a neurone, with particular care to the non-equilibrium nature of the forces influencing its movement in state space. We combine non-equilibrium statistical mechanics and dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-02-19 Dalton A R Sakthivadivel

Network-based models of epidemic spread have become increasingly popular in recent decades. Despite a rich foundation of such models, few low-dimensional systems for modeling SIS-type diseases have been proposed that manage to capture the…

Dynamical Systems · Mathematics 2021-01-01 Carl Corcoran , Alan Hastings

Epileptic seizure forecasting is a clinically important yet challenging problem in epilepsy research. Existing approaches predominantly rely on neural signals such as electroencephalography (EEG), which require specialized equipment and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Mingkai Zhai , Wei Wang , Zongsheng Li , Quanying Liu

Understanding of the onset and generic mechanisms of transitions between distinct patterns of activity in realistic models of individual neurons and neural networks presents a fundamental challenge for the theory of applied dynamical…

Neurons and Cognition · Quantitative Biology 2020-07-14 Marina L. Kolomiets , Andrey L. Shilnikov

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

The neural oscillator model proposed by Matsuoka is a piecewise affine system, which exhibits distinctive periodic solutions. Although such typical oscillation patterns have been widely studied, little is understood about the dynamics of…

Adaptation and Self-Organizing Systems · Physics 2024-11-06 Kotaro Muramatsu , Hiroshi Kori

Identifying seizure activities in non-stationary electroencephalography (EEG) is a challenging task, since it is time-consuming, burdensome, and dependent on expensive human resources and subject to error and bias. A computerized seizure…

Signal Processing · Electrical Eng. & Systems 2020-04-29 S. Sheykhivand , T. Yousefi Rezaii , Z. Mousavi , A. Delpak , A. Farzamnia

Models of neural networks have proven their utility in the development of learning algorithms in computer science and in the theoretical study of brain dynamics in computational neuroscience. We propose in this paper a spatial neural…

Neural and Evolutionary Computing · Computer Science 2014-05-06 Lucas Antiqueira , Liang Zhao

This demo presents SeizNet, an innovative system for predicting epileptic seizures benefiting from a multi-modal sensor network and utilizing Deep Learning (DL) techniques. Epilepsy affects approximately 65 million people worldwide, many of…