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We study the effects of noise on stationary pulse solutions (bumps) in spatially extended neural fields. The dynamics of a neural field is described by an integrodifferential equation whose integral term characterizes synaptic interactions…

Pattern Formation and Solitons · Physics 2012-05-15 Zachary P. Kilpatrick , Bard Ermentrout

The brain consists not only of neurons but also of non-neuronal cells, including astrocytes. Recent discoveries in neuroscience suggest that astrocytes directly regulate neuronal activity by releasing gliotransmitters such as glutamate. In…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Valentin Würzbauer , Kerstin Lenk , Matin Jafarian

Astrocytes are a ubiquitous and enigmatic type of non-neuronal cell and are found in the brain of all vertebrates. While traditionally viewed as being supportive of neurons, it is increasingly recognized that astrocytes may play a more…

Neurons and Cognition · Quantitative Biology 2023-11-13 Lulu Gong , Fabio Pasqualetti , Thomas Papouin , ShiNung Ching

A mathematical model of a spiking neuron network accompanied by astrocytes is considered. The network is composed of excitatory and inhibitory neurons with synaptic connections supplied by a memristor-based model of plasticity. Another…

Neurons and Cognition · Quantitative Biology 2024-02-27 Sergey V. Stasenko , Alexey N. Mikhaylov , Alexander A. Fedotov , Vladimir A. Smirnov , Victor B. Kazantsev

Diffusion with stochastic resetting, instantaneous returns of a diffusing particle to a reference point, creates a stationary probability distribution. The paradigm is extended here to a doubly stochastic protocol in which the resetting…

Statistical Mechanics · Physics 2025-10-01 Maxence Arutkin , Shlomi Reuveni

Deciphering the complex interactions between neurotransmission and astrocytic $Ca^{2+}$ elevations is a target promising a comprehensive understanding of brain function. While the astrocytic response to excitatory synaptic activity has been…

Cell Behavior · Quantitative Biology 2019-03-19 Ioannis E. Polykretis , Vladimir A. Ivanov , Konstantinos P. Michmizos

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

This paper presents an innovative methodology for improving the robustness and computational efficiency of Spiking Neural Networks (SNNs), a critical component in neuromorphic computing. The proposed approach integrates astrocytes, a type…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Murat Isik , Kayode Inadagbo

Brain activities are featured by spatially distributed neural clusters of coherent firings and a spontaneous switching of the clusters between the synchrony and asynchrony states. Evidences from {\it in vivo} experiments suggest that…

Neurons and Cognition · Quantitative Biology 2023-02-02 Ya Wang , Liang Wang , Huawei Fan , Jun Ma , Hui Cao , Xingang Wang

Short-term presynaptic plasticity designates variations of the amplitude of synaptic information transfer whereby the amount of neurotransmitter released upon presynaptic stimulation changes over seconds as a function of the neuronal firing…

Neurons and Cognition · Quantitative Biology 2011-12-06 Maurizio De Pittà , Vladislav Volman , Hugues Berry , Eshel Ben-Jacob

Finding the origin of slow and infra-slow oscillations could reveal or explain brain mechanisms in health and disease. Here, we present a biophysically constrained computational model of a neural network where the inclusion of astrocytes…

Neurons and Cognition · Quantitative Biology 2017-02-15 Leo Kozachkov , Konstantinos P. Michmizos

We propose a new mean-field model of brain rhythms governed by astrocytes. This theoretical framework describes how astrocytes can regulate neuronal activity and contribute to the generation of brain rhythms. The model describes at the…

Neurons and Cognition · Quantitative Biology 2024-05-07 Sergey V. Stasenko , Sergey M. Olenin , Eugene A. Grines , Tatiana A. Levanova

We present the results on the source spectrum function for primary nuclei in galactic cosmic rays, where two distinct energy dependences are used for the source spectra. We discuss the evolution of the goodness of fit to B/C data with the…

Astrophysics · Physics 2007-05-23 Fiorenza Donato , David Maurin , Richard Taillet

Understanding the role of astrocytes in brain computation is a nascent challenge, promising immense rewards, in terms of new neurobiological knowledge that can be translated into artificial intelligence. In our ongoing effort to identify…

Neurons and Cognition · Quantitative Biology 2018-07-10 Ioannis Polykretis , Vladimir Ivanov , Konstantinos P. Michmizos

The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration,…

Populations and Evolution · Quantitative Biology 2007-05-23 Refael Abta , Marcelo Schiffer , Avishag Ben-Ishay , Nadav M. Shnerb

We analyze the effects of spatiotemporal noise on stationary pulse solutions (bumps) in neural field equations on planar domains. Neural fields are integrodifferential equations whose integral kernel describes the strength and polarity of…

Pattern Formation and Solitons · Physics 2015-04-21 Daniel Poll , Zachary P. Kilpatrick

The different active roles of neurons and astrocytes during neuronal activation are associated with the metabolic processes necessary to supply the energy needed for their respective tasks at rest and during neuronal activation. Metabolism,…

Tissues and Organs · Quantitative Biology 2022-11-07 Gideon Idumah , Erkki Somersalo , Daniela Calvetti

The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and…

Neurons and Cognition · Quantitative Biology 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

Mathematical model of spiking neuron network (SNN) supplied by astrocytes is investigated. The astrocytes are specific type of brain cells which are not electrically excitable but inducing chemical modulations of neuronal firing. We…

Neurons and Cognition · Quantitative Biology 2023-12-07 Sergey V. Stasenko , Victor B. Kazantsev

Within the complex neuroarchitecture of the brain, astrocytes play crucial roles in development, structure, and metabolism. These cells regulate neural activity through tripartite synapses, directly impacting cognitive processes such as…

Neural and Evolutionary Computing · Computer Science 2023-12-27 Guobin Shen , Dongcheng Zhao , Yiting Dong , Yang Li , Jindong Li , Kang Sun , Yi Zeng
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