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Mental disorders may exhibit pathological brain rhythms and neurostimulation promises to alleviate of patients' symptoms by modifying these rhythms. Today, most neurostimulation schemes are open-loop, i.e. administer experimental…

Neurons and Cognition · Quantitative Biology 2023-03-21 Thomas Wahl , Michel Duprez , Axel Hutt

Epilepsy is a common disease of the nervous system. Timely prediction of seizures and intervention treatment can significantly reduce the accidental injury of patients and protect the life and health of patients. This paper presents a…

Signal Processing · Electrical Eng. & Systems 2024-10-01 Qinyu Chen , Congyi Sun , Chang Gao , Shih-Chii Liu

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

The ability to effectively control brain dynamics holds great promise for the enhancement of cognitive function in humans, and the betterment of their quality of life. Yet, successfully controlling dynamics in neural systems is challenging,…

Quantitative Methods · Quantitative Biology 2018-08-29 Evelyn Tang , Danielle S. Bassett

Inferring strength and direction of interactions from electroencephalographic (EEG) recordings is of crucial importance to improve our understanding of dynamical interdependencies underlying various physiologic and pathophysiologic…

Neurons and Cognition · Quantitative Biology 2016-10-07 Klaus Lehnertz , Henning Dickten

The field of study of complex systems holds that the dynamics of complex systems are founded on universal principles that may used to describe a great variety of scientific and technological approaches of different types of natural,…

Epilepsy is a chronic neurological disorder affecting more than 50 million people globally. An epileptic seizure acts like a temporary shock to the neuronal system, disrupting normal electrical activity in the brain. Epilepsy is frequently…

Neurons and Cognition · Quantitative Biology 2021-01-26 Matheus B. Guerrero , Raphaël Huser , Hernando Ombao

Small continuous sensory and mechanical perturbations have often been used to identify properties of the closed-loop neural control of posture and other systems that are approximately linear time invariant. Here we extend this approach to…

Neurons and Cognition · Quantitative Biology 2016-10-31 Tim Kiemel , David Logan , John J. Jeka

In this study, we present a criterion based on the analysis of EEG signals through the mean of the conventional power spectral density (PSD) in the aim to localize and detect the epileptic area of the brain. Firstly, as the EEG signals are…

Applications · Statistics 2016-10-31 Mahamat Ali Issaka , Ali S. Dabye , Lamine Gueye

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

Epilepsy is the fourth most common neurological disorder, affecting about 1% of the population at all ages. As many as 60% of people with epilepsy experience focal seizures which originate in a certain brain area and are limited to part of…

Machine Learning · Computer Science 2019-03-20 Diyuan Lu , Jochen Triesch

We consider the electrical signals recorded from a subdural array of electrodes placed on the pial surface of the brain for chronic evaluation of epileptic patients before surgical resection. A simple and computationally fast method to…

Medical Physics · Physics 2007-11-18 Eshel Ben-Jacob , Stefano Boccaletti , Anna Pomyalov , Itamar Procaccia , Vernon L. Towle

We begin by demonstrating that the neuronal state equation from Dynamic Causal Modelling takes on the form of the discretized Fokker-Planck equation upon the inclusion of local activity gradients within a network. Using the Jacobian of this…

Quantitative Methods · Quantitative Biology 2019-11-27 Erik D. Fagerholm , Rosalyn J. Moran , Robert Leech

An ability to map seizure-generating brain tissue, i.e., the seizure onset zone (SOZ), without recording actual seizures could reduce the duration of invasive EEG monitoring for patients with drug-resistant epilepsy. A widely-adopted…

In this article, we study optimal control problems of spiking neurons whose dynamics are described by a phase model. We design minimum-power current stimuli (controls) that lead to targeted spiking times of neurons, where the cases with…

Dynamical Systems · Mathematics 2010-11-18 Isuru Dasanayake , Jr-Shin Li

Neural activity in the brain of parkinsonian patients is characterized by the intermittently synchronized oscillatory dynamics. This imperfect synchronization, observed in the beta frequency band, is believed to be related to the…

Neurons and Cognition · Quantitative Biology 2013-02-11 Choongseok Park , Leonid Rubchinsky

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Epilepsy is a disorder of the nervous system that can affect people of any age group. With roughly 50 million people worldwide diagnosed with the disorder, it is one of the most common neurological disorders. The EEG is an indispensable…

Populations and Evolution · Quantitative Biology 2022-02-21 Niamh McCallan , Scot Davidson , Kok Yew Ng , Pardis Biglarbeigi , Dewar Finlay , Boon Leong Lan , James McLaughlin

Developing effective therapies against epilepsy remains a challenge. The complex and multifaceted nature of this disease still fuels controversies about its origin. In this perspective article, we argue that conflicting hypotheses can be…

Neurons and Cognition · Quantitative Biology 2022-06-22 Tristan Manfred Stöber , Danylo Batulin , Jochen Triesch , Rishikesh Narayanan , Peter Jedlicka

We discuss the synchronization of coupled neurons which are modelled as FitzHugh-Nagumo systems. As smallest entity in a larger network, we focus on two diffusively coupled subsystems, which can be interpreted as two mutually interacting…

Chaotic Dynamics · Physics 2008-09-05 Philipp Hoevel , Markus A. Dahlem , Eckehard Schoell