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Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form of attracting yet unstable saddle periodic orbits where units are synchronized into groups. Heteroclinic connections between such orbits may…

Adaptation and Self-Organizing Systems · Physics 2020-11-03 Fabio Schittler Neves , Marc Timme

Suppression of excessively synchronous beta-band oscillatory activity in the brain is believed to suppress hypokinetic motor symptoms of Parkinson's disease. Recently, a lot of interest has been devoted to desynchronizing delayed feedback…

Neurons and Cognition · Quantitative Biology 2013-03-05 Andrey Dovzhenok , Choongseok Park , Robert M. Worth , Leonid L. Rubchinsky

Deep-Brain Stimulation (DBS) is a therapy used in conjunction with medication to help alleviate the motor symptoms of Parkinson's Disease (PD). However, the monitoring and adjustment of DBS settings is tedious and expensive, requiring long…

Neurons and Cognition · Quantitative Biology 2019-12-03 Huy Phi , Sanjeev Janarthanan , Larry Zhang , Reza Hosseini Ghomi

We report the phenomenon of frequency clustering in a network of Hodgkin-Huxley neurons with spike timing-dependent plasticity. The clustering leads to a splitting of a neural population into a few groups synchronized at different…

Adaptation and Self-Organizing Systems · Physics 2019-12-20 Vera Röhr , Rico Berner , Ewandson L. Lameu , Oleksandr V. Popovych , Serhiy Yanchuk

The presence of synchronized clusters in neuron networks is a hallmark of information transmission and processing. The methods commonly used to study cluster synchronization in networks of coupled oscillators ground on simplifying…

Dynamical Systems · Mathematics 2020-07-09 Matteo Lodi , Fabio Della Rossa , Francesco Sorrentino , Marco Storace

We present a neural network approach for closed-loop deep brain stimulation (DBS). We cast the problem of finding an optimal neurostimulation strategy as a control problem. In this setting, control policies aim to optimize therapeutic…

Optimization and Control · Mathematics 2023-11-14 Malvern Madondo , Deepanshu Verma , Lars Ruthotto , Nicholas Au Yong

Deep Brain Stimulation (DBS) is a highly effective treatment for Parkinson's Disease (PD). Recent research uses reinforcement learning (RL) for DBS, with RL agents modulating the stimulation frequency and amplitude. But, these models rely…

Machine Learning · Computer Science 2025-10-07 Nicholas Carter , Arkaprava Gupta , Prateek Ganguli , Benedikt Dietrich , Vibhor Krishna , Samarjit Chakraborty

Deep brain stimulation (DBS) is a surgical treatment for Parkinson's Disease. Static models based on quasi-static approximation are common approaches for DBS modeling. While this simplification has been validated for bioelectric sources,…

Neurons and Cognition · Quantitative Biology 2016-08-18 Pablo A. Alvarado , Mauricio A. Álvarez , Álvaro A. Orozco

With advances in neural recording techniques, neuroscientists are now able to record the spiking activity of many hundreds of neurons simultaneously, and new statistical methods are needed to understand the structure of this large-scale…

Neurons and Cognition · Quantitative Biology 2023-03-03 Ganchao Wei , Ian H. Stevenson , Xiaojing Wang

Transcranial Electrical Stimulation (TCES) and Deep Brain Stimulation (DBS) are two different applications of electrical current to the brain used in different areas of medicine. Both have a similar frequency dependence of their efficiency,…

Neurons and Cognition · Quantitative Biology 2019-07-15 Markus Schütt , Jens Christian Claussen

The central spin decoherence problem has been researched for over 50 years in the context of both nuclear magnetic resonance and electron spin resonance. Until recently, theoretical models have employed phenomenological stochastic…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Wayne M. Witzel , Malcolm S. Carroll , Lukasz Cywinski , S. Das Sarma

Adaptive deep brain stimulation (aDBS) has emerged as a promising treatment for Parkinson disease (PD). In aDBS, a surgically placed electrode sends dynamically altered stimuli to the brain based on neurophysiological feedback: an invasive…

Neurons and Cognition · Quantitative Biology 2025-05-16 Ekaterina Kuzmina , Dmitrii Kriukov , Mikhail Lebedev , Dmitry V. Dylov

Dynamics of a chaotic spiking neuron model are being studied mathematically and experimentally. The Nonlinear Dynamic State neuron (NDS) is analysed to further understand the model and improve it. Chaos has many interesting properties such…

Artificial Intelligence · Computer Science 2013-10-29 Mohammad Alhawarat , Waleed Nazih , Mohammad Eldesouki

Synchronous strategies with data parallelism, such as the Synchronous StochasticGradient Descent (S-SGD) and the model averaging methods, are widely utilizedin distributed training of Deep Neural Networks (DNNs), largely owing to itseasy…

Machine Learning · Computer Science 2022-11-04 Qing Ye , Yuhao Zhou , Mingjia Shi , Yanan Sun , Jiancheng Lv

The synchronized activity of neuronal populations can lead to pathological over-synchronization in conditions such as epilepsy and Parkinson disease. Such states can be desynchronized by brief electrical pulses. But when the underlying…

Neurons and Cognition · Quantitative Biology 2026-03-16 Ramón Guevara , Marco Zenari , Giorgio Nicoletti , Elisa Marini , Samir Suweis , Sandro Azaele , Marco Formentin

Mental disorders (MD) are among the top most demanding challenges in world-wide health. According to the World Health Organization, the burden of MDs continues to grow with significant impact on health and major social and human rights. A…

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

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

Deep brain stimulation (DBS) is an established intervention for Parkinson's disease (PD), but conventional open-loop systems lack adaptability, are energy-inefficient due to continuous stimulation, and provide limited personalization to…

Machine Learning · Computer Science 2025-07-10 Harsh Ravivarapu , Gaurav Bagwe , Xiaoyong Yuan , Chunxiu Yu , Lan Zhang

Dense spin ensembles in solids present a natural platform for studying quantum many-body dynamics. Multiple-pulse coherent control can be used to manipulate the magnetic dipolar interaction between the spins to engineer their dynamics.…

Quantum Physics · Physics 2024-12-24 Linta Joseph , Wynter Alford , Chandrasekhar Ramanathan

Our brain is a complex information processing network in which the nervous system receives information from the environment to quickly react to incoming events or learns from experience to sharp our memory. In the nervous system, the brain…

Neurons and Cognition · Quantitative Biology 2022-06-20 Thi Kim Thoa Thieu , Roderick Melnik