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We show that dynamical gain modulation of neurons' stimulus response is described as an information-theoretic cycle that generates entropy associated with the stimulus-related activity from entropy produced by the modulation. To articulate…

神经元与认知 · 定量生物学 2017-12-29 Hideaki Shimazaki

We investigate elementary cellular automata (ECA) from the point of view of (discrete) dynamical systems. By studying small lattice sizes, we obtain the complete phase space of all minimal ECA, and, starting from a maximal entropy…

元胞自动机与格子气 · 物理学 2025-11-13 Franco Bagnoli , Michele Baia , Tommaso Matteuzzi

Inhibitory interneurons, ubiquitous in the central nervous system, form networks connected through both chemical synapses and gap junctions. These networks are essential for regulating the activity of principal neurons, especially by…

神经元与认知 · 定量生物学 2025-05-09 Hélène Todd , Mathieu Desroches , Alex Cayco-Gajic , Boris Gutkin

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…

无序系统与神经网络 · 物理学 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

无序系统与神经网络 · 物理学 2020-03-11 Takashi Hayakawa , Tomoki Fukai

The dynamical behavior of networked complex systems is shaped not only by the direct links among the units, but also by the long-range interactions occurring through the many existing paths connecting the network nodes. In this work, we…

物理与社会 · 物理学 2017-08-01 Ernesto Estrada , Lucia Valentina Gambuzza , Mattia Frasca

This paper introduces a rate-based nonlinear neural network in which excitatory (E) neurons receive feedforward excitation from sensory (S) neurons, and inhibit each other through disynaptic pathways mediated by inhibitory (I) interneurons.…

神经元与认知 · 定量生物学 2019-01-01 H. Sebastian Seung

We study external, electrical perturbations and their responses in the brain dynamic network of the \textit{Caenorhabditis elegans} soil worm, given by the connectome of its large somatic nervous system. Our analysis is inspired by a…

神经元与认知 · 定量生物学 2016-02-17 Chris G. Antonopoulos

We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the…

混沌动力学 · 物理学 2019-01-16 A. Tlaie , I. Leyva , R. Sevilla-Escoboza , V. P. Vera-Avila , I. Sendiña-Nadal

Diversity conveys advantages in nature, yet homogeneous neurons typically comprise the layers of artificial neural networks. Here we construct neural networks from neurons that learn their own activation functions, quickly diversify, and…

机器学习 · 计算机科学 2023-09-01 Anshul Choudhary , Anil Radhakrishnan , John F. Lindner , Sudeshna Sinha , William L. Ditto

Chemical reaction network theory is a powerful framework to describe and analyze chemical systems. While much about the concentration profile in an equilibrium state can be determined in terms of the graph structure, the overall reaction's…

分子网络 · 定量生物学 2024-02-29 Tomoharu Suda

Network architecture forms a critical constraint on neuronal function. Here we examine the role of structural autapses, when a neuron synapses onto itself, in driving network-wide bursting behavior. Using a simple spiking model of neuronal…

神经元与认知 · 定量生物学 2016-08-02 Laura Wiles , Shi Gu , Fabio Pasqualetti , Danielle S. Bassett , David F. Meaney

We study the role of scale-free structure and noise in collective dynamics of neuronal networks. For this purpose, we simulate and study analytically a cortical circuit model with stochastic neurons. We compare collective neuronal activity…

无序系统与神经网络 · 物理学 2013-03-27 D. Holstein , A. V. Goltsev , J. F. F. Mendes

Sensory adaptation enables organisms to adjust their perception in a changing environment. A paradigm is bacterial chemotaxis, where the output activity of chemoreceptors is adapted to different baseline concentrations via receptor…

细胞行为 · 定量生物学 2024-01-23 Vansh Kharbanda , Benedikt Sabass

To what extent do the characteristic features of a chemical reaction network reflect its purpose and function? In general, one argues that correlations between specific features and specific functions are key to understanding a complex…

统计力学 · 物理学 2012-03-22 Sang Hoon Lee , Sebastian Bernhardsson , Petter Holme , Beom Jun Kim , Petter Minnhagen

In realistic neural circuits, both neurons and synapses are coupled in dynamics with separate time scales. The circuit functions are intimately related to these coupled dynamics. However, it remains challenging to understand the intrinsic…

神经元与认知 · 定量生物学 2025-11-11 Wenkang Du , Haiping Huang

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

统计理论 · 数学 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

In this paper we present two interesting properties of stochastic cellular automata that can be helpful in analyzing the dynamical behavior of such automata. The first property allows for calculating cell-wise probability distributions over…

形式语言与自动机理论 · 计算机科学 2015-08-20 Witold Bołt , Jan M. Baetens , Bernard DeBaets

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

神经元与认知 · 定量生物学 2020-12-02 Hui Wei

Recent studies have been using graph theoretical approaches to model complex networks (such as social, infrastructural or biological networks), and how their hardwired circuitry relates to their dynamic evolution in time. Understanding how…

神经元与认知 · 定量生物学 2015-07-17 Anca Radulescu