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Motivated by deep brain stimulation treatment of neural disorders such as Parkinson's disease, it has been proposed that desynchronization of neural oscillators can be achieved by maximizing the Lyapunov exponent of the phase difference…

Optimization and Control · Mathematics 2025-09-25 Jeff Moehlis , Michael Zimet , Faranak Rajabi

This study evaluated transcranial temporal interference stimulation (tTIS) for focal targeting of the insula and hippocampus, which are clinically relevant yet anatomically difficult to stimulate. Individualized and group-level electrode…

Medical Physics · Physics 2025-10-28 Taiga Inoue , Naofumi Otsuru , Akimasa Hirata

Two-dimensional electronic spectroscopy (2DES) is a powerful tool for investigating the dynamics of complex systems. However, analyzing the resulting spectra can be challenging, and thus may require the use of theoretical modeling…

Optics · Physics 2024-01-18 Zong-Hao Sun , Yi-Xuan Yao , Qing Ai , Yuan-Chung Cheng

Temporal Interference Stimulation (TIS) is a non-invasive neuromodulation technique in which two high-frequency sinusoidal currents with slightly different frequencies generate a low-frequency envelope that can activate deep neural…

Dynamical Systems · Mathematics 2026-05-19 Esteban Paduro , Antoine Chaillet , Mario Sigalotti

During brain function, groups of neurons fire synchronously. When these groups are large enough, the resulting electrical signals can be measured on the scalp using Electroencephalography (EEG). The amplitude of these signals can be…

Neurons and Cognition · Quantitative Biology 2025-02-05 Jesus Acosta-Elias , Santiago Mendez-Moreno , Omar Vital-Ochoa , Ricardo Espinosa-Tanguma

Prevention of secondary brain injury is a core aim of neurocritical care, with Spreading Depolarizations (SDs) recognized as a significant independent cause. SDs are typically monitored through invasive, high-frequency electrocorticography…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Jeanne Boyer-Chammard , Yinzhe Wu , Chenyu Zhang , Sharon Jewell , Anthony Strong , Guang Yang , Martyn Boutelle

Inspired by the facts that retinal cells actually segregate the visual scene into different attributes (e.g., spatial details, temporal motion) for respective neuronal processing, we propose to first decompose the input video into…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Ming Lu , Tong Chen , Dandan Ding , Fengqing Zhu , Zhan Ma

Low-intensity transcranial focused ultrasound (tFUS) is rapidly emerging as a transformative non-invasive brain stimulation (NIBS) modality characterized by high spatial resolution and ability to target deep brain circuits. Unlike…

Neurons and Cognition · Quantitative Biology 2026-04-02 William J. Tyler

A universal approach is proposed for suppression of collective synchrony in a large population of interacting rhythmic units. We demonstrate that provided that the internal coupling is weak, stabilization of overall oscillations with…

Adaptation and Self-Organizing Systems · Physics 2011-11-08 Ming Luo , Yongjun Wu

This paper explores advanced electrode modeling in the context of separate and parallel transcranial electrical stimulation (tES) and electroencephalography (EEG) measurements. We focus on boundary condition based approaches that do not…

Medical Physics · Physics 2016-08-22 Britte Agsten , Sven Wagner , Sampsa Pursiainen , Carsten H. Wolters

The dynamical responses of complex neuronal networks to external stimulus injected on a \emph{single} neuron are investigated. Stimulating the largest-degree neuron in the network, it is found that as the intensity of the stimulus…

Chaotic Dynamics · Physics 2016-04-13 Mengjiao Chen , Weijie Lin , Hengtong Wang , Wei Ren , Xingang Wang

We study the decoherence dynamics of dipole-coupled two-level quantum systems in Ramsey-type experiments. We focus on large networks of two-level systems, confined to two spatial dimensions and with positional disorder giving rise to…

Quantum Gases · Physics 2017-11-15 M. P. Kwasigroch , N. R. Cooper

Epilepsy is a prevalent neurological disorder globally, impacting around 50 million people \cite{WHO_epilepsy_50million}. Epileptic seizures result from sudden abnormal electrical activity in the brain, which can be read as sudden and…

Machine Learning · Computer Science 2025-08-15 Mohammed Guhdar , Ramadhan J. Mstafa , Abdulhakeem O. Mohammed

Biological neural networks can operate in qualitatively distinct dynamical regimes, and transitions between these regimes are thought to underlie changes in computation and behavior. The seminal work of Sompolinsky, Crisanti, and Sommers…

Disordered Systems and Neural Networks · Physics 2026-05-15 Carles Martorell , Rubén Calvo , Alessia Annibale , Miguel A. Muñoz

Transcranial Magnetic Stimulation (TMS) combined with EEG recordings (TMS-EEG) has shown great potential in the study of the brain and in particular of Alzheimer's Disease (AD). In this study, we propose an automatic method of determining…

Inferring the biophysical parameters of conductance-based models (CBMs) from experimentally accessible recordings remains a central challenge in computational neuroscience. Spike times are the most widely available data, yet they reveal…

Neurons and Cognition · Quantitative Biology 2026-05-26 Julien Brandoit , Damien Ernst , Guillaume Drion , Arthur Fyon

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

We show that the unavoidable increase in neuronal response latency to ongoing stimulation serves as a nonuniform gradual stretching of neuronal circuit delay loops and emerges as an essential mechanism in the formation of various types of…

Neurons and Cognition · Quantitative Biology 2012-12-07 Roni Vardi , Reut Timor , Shimon Marom , Moshe Abeles , Ido Kanter

Epilepsy is one of the most common neurological disorders, often requiring surgical intervention when medication fails to control seizures. For effective surgical outcomes, precise localisation of the epileptogenic focus - often…

Machine Learning · Computer Science 2024-08-28 Jamie Norris , Aswin Chari , Dorien van Blooijs , Gerald Cooray , Karl Friston , Martin Tisdall , Richard Rosch

EEG signals in emotion recognition absorb special attention owing to their high temporal resolution and their information about what happens in the brain. Different regions of brain work together to process information and meanwhile the…

Signal Processing · Electrical Eng. & Systems 2021-12-24 Ensieh Khazaei , Hoda Mohammadzade