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Spike-timing-dependent plasticity (STDP) has recently been shown in some physiological studies. STDP depends on the precise temporal relationship of pre- and post-synaptic spikes. Many authors have indicated that a precise balance between…

Disordered Systems and Neural Networks · Physics 2009-11-07 Narihisa Matsumoto , Masato Okada

Experiments show that spike-triggered stimulation performed with Bidirectional Brain-Computer-Interfaces (BBCI) can artificially strengthen connections between separate neural sites in motor cortex (MC). What are the neuronal mechanisms…

Neurons and Cognition · Quantitative Biology 2017-04-12 Guillaume Lajoie , Nedialko I. Krouchev , John F. Kalaska , Adrienne L. Fairhall , Eberhard E. Fetz

The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically. The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the…

Chaotic Dynamics · Physics 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz

Two elements of neural information processing have primarily been proposed: firing rate and spike timing of neurons. In the case of synaptic plasticity, although spike-timing-dependent plasticity (STDP) depending on presynaptic and…

Neurons and Cognition · Quantitative Biology 2020-01-14 Katsuhiko Hata , Osamu Araki , Osamu Yokoi , Tatsumi Kusakabe , Yoshio Yamamoto , Susumu Ito , Tetsuro Nikuni

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

Recent studies on the complex systems have shown that the synchronization of oscillators including neuronal ones is faster, stronger, and more efficient in the small-world networks than in the regular or the random networks, and many…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chang-Woo Shin , Seunghwan Kim

Synaptic plasticity is vital for learning and memory in the brain. It consists of long-term potentiation (LTP) and long-term depression (LTD). Spike frequency is one of the major components of synaptic plasticity in the brain, a noisy…

Neurons and Cognition · Quantitative Biology 2021-08-13 Yuto Takeda , Katsuhiko Hata , Tokio Yamasaki , Masaki Kaneko , Osamu Yokoi , Chengta Tsai , Kazuo Umemura , Tetsuro Nikuni

Triplet-based Spike Timing Dependent Plasticity (TSTDP) is a powerful synaptic plasticity rule that acts beyond conventional pair-based STDP (PSTDP). Here, the TSTDP is capable of reproducing the outcomes from a variety of biological…

Neural and Evolutionary Computing · Computer Science 2013-04-02 Mostafa Rahimi Azghadi , Said Al-Sarawi , Derek Abbott , Nicolangelo Iannella

We study the noise activated dynamics of a model {\it autapse} neuron system that consists of a subcritical Hopf oscillator with a time delayed nonlinear feedback. The coherence of the noise driven pulses of the neuron exhibits a novel…

Chaotic Dynamics · Physics 2009-11-11 Gautam C Sethia , Juergen Kurths , Abhijit Sen

We demonstrate that waves in distinct layers of a neuronal network can become phase-locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to…

Pattern Formation and Solitons · Physics 2015-04-22 Zachary P. Kilpatrick

Brain-inspired learning mechanisms, e.g. spike timing dependent plasticity (STDP), enable agile and fast on-the-fly adaptation capability in a spiking neural network. When incorporating emerging nanoscale resistive non-volatile memory (NVM)…

Neural and Evolutionary Computing · Computer Science 2020-02-19 Xinyu Wu , Vishal Saxena

We are concerned about burst synchronization (BS), related to neural information processes in health and disease, in the Barab\'{a}si-Albert scale-free network (SFN) composed of inhibitory bursting Hindmarsh-Rose neurons. This inhibitory…

Neurons and Cognition · Quantitative Biology 2018-08-21 Sang-Yoon Kim , Woochang Lim

As an extension of the pairwise spike-timing-dependent plasticity (STDP) learning rule, the triplet STDP is provided with greater capability in characterizing the synaptic changes in the biological neural cell. In this work, a novel…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Y. Liu , D. Wang , Z. Dong , W. Zhao

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

Brain-inspired machine intelligence research seeks to develop computational models that emulate the information processing and adaptability that distinguishes biological systems of neurons. This has led to the development of spiking neural…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Alexander Ororbia

Spiking neural network models characterize the emergent collective dynamics of circuits of biological neurons and help engineer neuro-inspired solutions across fields. Most dynamical systems' models of spiking neural networks typically…

Computational Physics · Physics 2023-04-12 Georg Börner , Fabio Schittler Neves , Marc Timme

Maintaining the ability to fire sparsely is crucial for information encoding in neural networks. Additionally, spiking homeostasis is vital for spiking neural networks with changing numbers of weights and neurons. We discuss a range of…

Neural and Evolutionary Computing · Computer Science 2019-10-02 Katarzyna Kozdon , Peter Bentley

Critical brain hypothesis has been intensively studied both in experimental and theoretical neuroscience over the past two decades. However, some important questions still remain: (i) What is the critical point the brain operates at? (ii)…

Neurons and Cognition · Quantitative Biology 2019-12-19 Mahsa Khoshkhou , Afshin Montakhab

Cortical activity in-vivo displays relaxational time scales much longer than the membrane time constant of the neurons or the deactivation time of ionotropic synaptic conductances. The mechanisms responsible for such slow dynamics are not…

Disordered Systems and Neural Networks · Physics 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

We numerically investigate the influence of intrinsic channel noise on the dynamical response of delay-coupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard…

Biological Physics · Physics 2013-09-23 Xue Ao , Peter Hanggi , Gerhard Schmid