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The importance of the balance in inhibitory and excitatory couplings in the brain has increasingly been realized. Despite the key role played by inhibitory-excitatory couplings in the functioning of brain networks, the impact of a balanced…

神经元与认知 · 定量生物学 2015-06-18 Sarika Jalan , Sanjiv K. Dwivedi

Continuous time recurrent neural networks (CTRNN) are systems of coupled ordinary differential equations that are simple enough to be insightful for describing learning and computation, from both biological and machine learning viewpoints.…

动力系统 · 数学 2021-06-18 Peter Ashwin , Claire M Postlethwaite

An essential requirement for the representation of functional patterns in complex neural networks, such as the mammalian cerebral cortex, is the existence of stable network activations within a limited critical range. In this range, the…

神经元与认知 · 定量生物学 2008-02-19 Marcus Kaiser , Matthias Goerner , Claus C. Hilgetag

We investigate states of enhanced activity in a biological neuronal network composed of pulse-coupled oscillators. The synaptic couplings between the neurons are dynamic, modeling spike time dependent plasticity. The network exhibits…

无序系统与神经网络 · 物理学 2012-08-17 Daniel Ritterskamp , Rudolf Friedrich

Critical dynamics are assumed to be an attractive mode for normal brain functioning as information processing and computational capabilities are found to be optimized there. Recent experimental observations of neuronal activity patterns…

神经元与认知 · 定量生物学 2015-05-28 Christian Meisel , Alexander Storch , Susanne Hallmeyer-Elgner , Ed Bullmore , Thilo Gross

This study investigates the potential impact of intramolecular excitations on the active regions of biomolecular chains, which may play a role in physiological processes within living cells. We assumed that an excitation localized in a…

其他凝聚态物理 · 物理学 2025-10-29 Dalibor Chevizovich , Slobodanka Galovic , Vasilije Matic , Zoran Ivic , Zeljko Przulj

We study a rate-model neural network composed of excitatory and inhibitory neurons in which neuronal input-output functions are power laws with a power greater than 1, as observed in primary visual cortex. This supralinear input-output…

神经元与认知 · 定量生物学 2015-03-20 Yashar Ahmadian , Daniel B. Rubin , Kenneth D. Miller

Marginally stable systems exhibit rich critical mechanical behavior. Such isostatic assemblies can be driven out of equilibrium by internal activity, but it remains unclear how the isostatic and critical nature of such systems affects their…

软凝聚态物质 · 物理学 2019-07-17 Federico S. Gnesotto , Benedikt M. Remlein , Chase P. Broedersz

The construction of biologically plausible models of neural circuits is crucial for understanding the computational properties of the nervous system. Constructing functional networks composed of separate excitatory and inhibitory neurons…

无序系统与神经网络 · 物理学 2020-07-01 Alessandro Ingrosso , L. F. Abbott

By considering the quench dynamics of two-dimensional frustrated Ising models through numerical simulations, we investigate the dynamical critical behavior on the multicritical Nishimori point (NP). We calculate several dynamical critical…

统计力学 · 物理学 2024-09-13 Ramgopal Agrawal , Leticia F. Cugliandolo , Lara Faoro , Lev B. Ioffe , Marco Picco

Maintaining the synchronous motion of dynamical systems interacting on complex networks is often critical to their functionality. However, real-world networked dynamical systems operating synchronously are prone to random perturbations…

混沌动力学 · 物理学 2017-10-25 Chiranjit Mitra , Tim Kittel , Anshul Choudhary , Jürgen Kurths , Reik V. Donner

We study the robustness of an evolving system that is driven by successive inclusions of new elements or constituents with $m$ random interactions to older ones. Each constitutive element in the model stays either active or is temporarily…

适应与自组织系统 · 物理学 2018-10-23 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

The connectivity of individual neurons of large neural networks determine both the steady state activity of the network and its answer to external stimulus. Highly diluted random networks have zero activity. We show that increasing the…

凝聚态物理 · 物理学 2008-02-03 Albert-László Barabási

Adaptive quantum circuits-where a quantum many-body state is controlled using measurements and conditional unitary operations-are a powerful paradigm for state preparation and quantum error correction tasks. They can support two types of…

量子物理 · 物理学 2025-06-30 Thomas Iadecola , Justin H. Wilson , J. H. Pixley

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

神经元与认知 · 定量生物学 2014-06-02 Robert Rosenbaum , Brent Doiron

We perform a simplified Ethernet traffic simulation in order to clarify the physical mechanism of the phase transition behavior which has been experimentally observed in the flow density fluctuation of Internet traffic. In one phase…

统计力学 · 物理学 2009-10-31 Kensuke Fukuda , Hideki Takayasu , Misako Takayasu

Electrical stimulation of neural systems is a key tool for understanding neural dynamics and ultimately for developing clinical treatments. Many applications of electrical stimulation affect large populations of neurons. However,…

神经元与认知 · 定量生物学 2020-11-18 Caglar Cakan , Klaus Obermayer

Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are highly constrained and thus the resulting metabolic networks…

分子网络 · 定量生物学 2013-03-04 Jonathan J Crofts , Ernesto Estrada

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

量子气体 · 物理学 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

The critical brain hypothesis posits that neural circuitry operates near criticality to reap the computational benefits of accessing a wide range of timescales. The theory of critical phenomena generally predicts heavy-tailed (power-law)…

神经元与认知 · 定量生物学 2025-12-23 Jacob T. Crosser , Braden A. W. Brinkman
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