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Neural stimulation represents a powerful technique for neural disorder treatment. This paper deals with optimization of coil design parameters to be used during stimulation for modulation of neuronal firing to achieve pain relief. Pain…

Neurons and Cognition · Quantitative Biology 2016-09-14 Raunaq Pradhan , Yuanjin Zheng

We study patterns of partial synchronization in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in human subjects. We report the spontaneous occurrence of synchronization phenomena that closely…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 M. Gerster , R. Berner , J. Sawicki , A. Zakharova , A. Škoch , J. Hlinka , K. Lehnertz , E. Schöll

Whole-brain models offer a promising method of predicting seizure spread, which is critical for successful surgery treatment of focal epilepsy. Existing methods are largely based on structural connectome, which ignores the effects of…

Neurons and Cognition · Quantitative Biology 2022-07-13 Chen Wang , Sida Chen , Liang Huang , Lianchun Yu

In neural information processing, an input modulates neural dynamics to generate a desired output. To unravel the dynamics and underlying neural connectivity enabling such input-output association, we proposed an exactly soluble…

Neurons and Cognition · Quantitative Biology 2023-07-21 Tomoki Kurikawa , Kunihiko Kaneko

In many animal sensory pathways, the transformation from external stimuli to spike trains is essentially deterministic. In this context, a new mathematical framework for coding and reconstruction, based on a biologically plausible model of…

Neurons and Cognition · Quantitative Biology 2019-08-01 Anik Chattopadhyay , Arunava Banerjee

Network control theory (NCT) has recently been utilized in neuroscience to facilitate our understanding of brain stimulation effects. A particularly useful branch of NCT is optimal control, which focuses on applying theoretical and…

Other Quantitative Biology · Quantitative Biology 2025-01-17 Kangli Dong , Siya Chen , Ying Dan , Lu Zhang , Xinyi Li , Wei Liang , Yue Zhao , Yu Sun

Objective: Epileptic seizures are relatively common in critically-ill children admitted to the pediatric intensive care unit (PICU) and thus serve as an important target for identification and treatment. Most of these seizures have no…

In clinical neuroscience, epileptic seizures have been associated with the sudden emergence of coupled activity across the brain. The resulting functional networks - in which edges indicate strong enough coupling between brain regions - are…

Applications · Statistics 2021-02-25 Xiaojing Zhu , Heather Shappell , Mark A. Kramer , Catherine J. Chu , Eric D. Kolaczyk

Sleep plays a vital role in human health, both mental and physical. Sleep disorders like sleep apnea are increasing in prevalence, with the rapid increase in factors like obesity. Sleep apnea is most commonly treated with Continuous…

Signal Processing · Electrical Eng. & Systems 2018-10-30 Karan Aggarwal , Swaraj Khadanga , Shafiq R. Joty , Louis Kazaglis , Jaideep Srivastava

Sepsis is a leading cause of death in the ICU. It is a disease requiring complex interventions in a short period of time, but its optimal treatment strategy remains uncertain. Evidence suggests that the practices of currently used treatment…

Machine Learning · Computer Science 2022-07-15 Zeyu Wang , Huiying Zhao , Peng Ren , Yuxi Zhou , Ming Sheng

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Recurrent neural networks are powerful tools for understanding and modeling computation and representation by populations of neurons. Continuous-variable or "rate" model networks have been analyzed and applied extensively for these…

Neurons and Cognition · Quantitative Biology 2016-01-29 Brian DePasquale , Mark M. Churchland , L. F. Abbott

Sensory stimuli in animals are encoded into spike trains by neurons, offering advantages such as sparsity, energy efficiency, and high temporal resolution. This paper presents a signal processing framework that deterministically encodes…

Neural and Evolutionary Computing · Computer Science 2024-08-15 Anik Chattopadhyay , Arunava Banerjee

Seizure events can manifest as transient disruptions in the control of movements which may be organized in distinct behavioral sequences, accompanied or not by other observable features such as altered facial expressions. The analysis of…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 David Ahmedt-Aristizabal , Mohammad Ali Armin , Zeeshan Hayder , Norberto Garcia-Cairasco , Lars Petersson , Clinton Fookes , Simon Denman , Aileen McGonigal

This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

Fluid Dynamics · Physics 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

Spiking neural networks (SNNs) have demonstrated excellent capabilities in various intelligent scenarios. Most existing methods for training SNNs are based on the concept of synaptic plasticity; however, learning in the realistic brain also…

Neural and Evolutionary Computing · Computer Science 2023-04-04 Hongze Sun , Wuque Cai , Baoxin Yang , Yan Cui , Yang Xia , Dezhong Yao , Daqing Guo

Neural interfaces capable of multi-site electrical recording, on-site signal classification, and closed-loop therapy are critical for the diagnosis and treatment of neurological disorders. However, deploying machine learning algorithms on…

Hardware Architecture · Computer Science 2020-10-22 Bingzhao Zhu , Uisub Shin , Mahsa Shoaran

As experiments advance to record from tens of thousands of neurons, statistical physics provides a framework for understanding how collective activity emerges from networks of fine-scale correlations. While modeling these populations is…

Biological Physics · Physics 2024-12-25 David P. Carcamo , Christopher W. Lynn

We present an interacting branching model of neural network dynamics, incorporating key biological features such as inhibition with several types of inhibitory interactions. We establish a hierarchy of analytical mean-field approximations…

Disordered Systems and Neural Networks · Physics 2025-12-29 Jeremy B. Goetz , Naruepon Weerawongphrom , Rashid V. Williams-García , John M. Beggs , Gerardo Ortiz

Generalized linear models are one of the most efficient paradigms for predicting the correlated stochastic activity of neuronal networks in response to external stimuli, with applications in many brain areas. However, when dealing with…

Disordered Systems and Neural Networks · Physics 2020-11-17 Gabriel Mahuas , Giulio Isacchini , Olivier Marre , Ulisse Ferrari , Thierry Mora
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