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Advances in modern technology have enabled the simultaneous recording of neural spiking activity, which statistically can be represented by a multivariate point process. We characterise the second order structure of this process via the…

Methodology · Statistics 2024-04-30 Carla Pinkney , Carolina Euan , Alex Gibberd , Ali Shojaie

We consider the evolution of a network of neurons, focusing on the asymptotic behavior of spikes dynamics instead of membrane potential dynamics. The spike response is not sought as a deterministic response in this context, but as a…

Data Analysis, Statistics and Probability · Physics 2010-08-27 J. C. Vasquez , B. Cessac , T. Viéville

Most nervous systems encode information about stimuli in the responding activity of large neuronal networks. This activity often manifests itself as dynamically coordinated sequences of action potentials. Since multiple electrode recordings…

Neurons and Cognition · Quantitative Biology 2011-11-09 Kristina Lisa Klinkner , Cosma Rohilla Shalizi , Marcelo F. Camperi

Quantifying similarity between population spike patterns is essential for understanding how neural dynamics encode information. Traditional approaches, which combine kernel smoothing, PCA, and CCA, have limitations: smoothing kernel…

Neurons and Cognition · Quantitative Biology 2025-05-21 Xiang Zhang , Chenlin Xu , Zhouxiao Lu , Haonan Wang , Dong Song

Developing networks of neural systems can exhibit spontaneous, synchronous activities called neural bursts, which can be important in the organization of functional neural circuits. Before the network matures, the activity level of a burst…

Neurons and Cognition · Quantitative Biology 2017-05-24 Chih-Hsu Huang , Yu-Ting Huang , Chun-Chung Chen , C. K. Chan

Neuromorphic computing systems emulate the electrophysiological behavior of the biological nervous system using mixed-mode analog or digital VLSI circuits. These systems show superior accuracy and power efficiency in carrying out cognitive…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Aadhitiya VS , Jani Babu Shaik , Sonal Singhal , Siona Menezes Picardo , Nilesh Goel

We report on a time-domain study of parametric synchronization in a magnetic tunnel junction based spin torque nano-oscillator (STNO). Time-domain measurements of the instantaneous frequency ($f_{i}$) of a parametrically synchronized STNO…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Raghav Sharma , Naveen Sisodia , Philipp Dürrenfeld , Johan Åkerman , P. K. Muduli

To learn and reason in the presence of uncertainty, the brain must be capable of imposing some form of regularization. Here we suggest, through theoretical and computational arguments, that the combination of noise with synchronization…

Neurons and Cognition · Quantitative Biology 2013-12-06 Jake Bouvrie , Jean-Jacques Slotine

This paper investigates the transient synchronization stability in power systems hybridized with virtual synchronous generators (VSGs) and synchronous generators (SGs). A relative swing equation model is established to capture the transient…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Changjun He , Li Zhang , Qi Liu , Rui Zou

As the world population gets older, the healthcare system must be adapted, among others by providing continuous health monitoring at home and in the city. The social activities have a significant role in everyone health status. Hence, this…

Computers and Society · Computer Science 2016-12-01 Loïc Sevrin , Bertrand Massot , Norbert Noury , Nacer Abouchi , Fabrice Jumel , Jacques Saraydaryan

Statistical similarities between neuronal spike trains could reveal significant information on complex underlying processing. In general, the similarity between synchronous spike trains is somewhat easy to identify. However, the similar…

Neurons and Cognition · Quantitative Biology 2021-03-16 Sathish Ande , Jayanth R Regatti , Neha Pandey , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

By introducing the twin concepts of reliability and precision along with the corresponding measures, Mainen and Sejnowski's seminal 1995 paper "Reliability of spike timing in neocortical neurons" (Mainen and Sejnowski, 1995) paved the way…

Neurons and Cognition · Quantitative Biology 2025-10-09 Thomas Kreuz

Neural-network processing in machine learning applications relies on layer synchronization. This is practiced even in artificial Spiking Neural Networks (SNNs), which are touted as consistent with neurobiology, in spite of processing in the…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Roel Koopman , Amirreza Yousefzadeh , Mahyar Shahsavari , Guangzhi Tang , Manolis Sifalakis

Cluster synchronization is of paramount importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are closely associated with various malfunctions, such as…

Optimization and Control · Mathematics 2023-08-15 Yuzhen Qin , Alberto Maria Nobili , Danielle S. Bassett , Fabio Pasqualetti

Brain-inspired computing architectures attempt to mimic the computations performed in the neurons and the synapses in the human brain in order to achieve its efficiency in learning and cognitive tasks. In this work, we demonstrate the…

Emerging Technologies · Computer Science 2017-12-20 Abhronil Sengupta , Priyadarshini Panda , Parami Wijesinghe , Yusung Kim , Kaushik Roy

Monitoring and modelling the power grid frequency is key to ensuring stability in the electrical power system. Many tools exist to investigate the detailed deterministic dynamics and especially the bulk behaviour of the frequency. However,…

Physics and Society · Physics 2021-05-04 Leonardo Rydin Gorjão , Luigi Vanfretti , Dirk Witthaut , Christian Beck , Benjamin Schäfer

We study the frequency and phase synchronization in two coupled identical and nonidentical neurons with channel noise. The occupation number method is used to model the neurons in the context of stochastic Hodgkin-Huxley model in which the…

Neurons and Cognition · Quantitative Biology 2007-11-07 L. C. Yu , Yong Chen , Pan Zhang

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

Neurons and Cognition · Quantitative Biology 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown

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

Synchronization phenomena are pervasive in biology. In neuronal networks, the mechanisms of synchronization have been extensively studied from both physiological and computational viewpoints. The functional role of synchronization has also…

Neurons and Cognition · Quantitative Biology 2009-06-18 Nicolas Tabareau , Jean-Jacques Slotine , Quang-Cuong Pham
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