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Related papers: Shot noise in next-generation neural mass models

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We study numerically and analytically first- and second-order phase transitions in neuronal networks stimulated by shot noise (a flow of random spikes bombarding neurons). Using an exactly solvable cortical model of neuronal networks on…

Neurons and Cognition · Quantitative Biology 2015-08-25 K. -E. Lee , M. A. Lopes , J. F. F. Mendes , A. V. Goltsev

Understanding the dynamics of large-scale brain models remains a central challenge due to the inherent complexity of these systems. In this work, we explore the emergence of complex spatiotemporal patterns in a large scale-brain model…

Neurons and Cognition · Quantitative Biology 2025-12-04 Rosa Maria Delicado , Gemma Huguet , Pau Clusella

Cells can utilize chemical communication to exchange information and coordinate their behavior in the presence of noise. Communication can reduce noise to shape a collective response, or amplify noise to generate distinct phenotypic…

Molecular Networks · Quantitative Biology 2019-09-24 David T. Gonzales , T-Y Dora Tang , Christoph Zechner

We propose a stochastic dynamical model of noisy neural networks with complex architectures and discuss activation of neural networks by a stimulus, pacemakers and spontaneous activity. This model has a complex phase diagram with…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. V. Goltsev , F. V. de Abreu , S. N. Dorogovtsev , J. F. F. Mendes

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

In a recent study the initial rise of the mutual information between the firing rates of N neurons and a set of p discrete stimuli has been analytically evaluated, under the assumption that neurons fire independently of one another to each…

Disordered Systems and Neural Networks · Physics 2009-11-07 Valeria Del Prete , Alessandro Treves

Semiclassical methods can now explain many mesoscopic effects (shot-noise, conductance fluctuations, etc) in clean chaotic systems, such as chaotic quantum dots. In the deep classical limit (wavelength much less than system size) the…

Mesoscale and Nanoscale Physics · Physics 2020-12-21 Robert S. Whitney

Neural mass models describe the mean-field dynamics of populations of neurons. In this work we illustrate how fundamental ideas of physics, such as energy and conserved quantities, can be explored for such models. We show that…

Neurons and Cognition · Quantitative Biology 2025-09-15 Daniele Andrean , Morten Gram Pedersen

We analyze the dynamics of large networks of pulse-coupled quadratic integrate-and-fire neurons driven by Cauchy noise and non-Cauchy heterogeneous inputs. Two types of heterogeneities defined by families of $q$-Gaussian and flat…

Neurons and Cognition · Quantitative Biology 2023-07-19 Viktoras Pyragas , Kestutis Pyragas

Demographic noise has profound effects on evolutionary and population dynamics, as well as on chemical reaction systems and models of epidemiology. Such noise is intrinsic and due to the discreteness of the dynamics in finite populations.…

Physics and Society · Physics 2015-05-14 Tobias Galla

We develop a system for measurements of power spectra of transmitted light intensity fluctuations, in which the extraneous noise, including shot noise, is reduced. In essence, we just apply light, measure the power of the transmitted light…

Atomic Physics · Physics 2023-07-19 Takahisa Mitsui , Kenichiro Aoki

The batch size is an essential parameter to tune during the development of new neural networks. Amongst other quality indicators, it has a large degree of influence on the model's accuracy, generalisability, training times and…

Machine Learning · Computer Science 2023-07-24 Tim Yarally , Luís Cruz , Daniel Feitosa , June Sallou , Arie van Deursen

The global response to weak time periodic forces of an array of noisy, coupled nonlinear systems might show a nonmonotonic dependence on the number of units in the array. This effect has been termed system size stochastic resonance. In this…

Statistical Mechanics · Physics 2009-05-28 José Gómez-Ordóñez , José M. Casado , Manuel Morillo

We show that noise-induced oscillations in a gene circuit model display stochastic coherence, that is, a maximum in the regularity of the oscillations as a function of noise amplitude. The effect is manifest as a system-size effect in a…

Molecular Networks · Quantitative Biology 2009-08-05 Robert C. Hilborn , Jessie D. Erwin

Stochasticity (or noise) at cellular and molecular levels has been observed extensively as a universal feature for living systems. However, how living systems deal with noise while performing desirable biological functions remains a major…

Molecular Networks · Quantitative Biology 2020-01-22 Qing Nie , Lingxia Qiao , Yuchi Qiu , Lei Zhang , Wei Zhao

We consider the effect of microscopic external noise on the collective motion of a globally coupled map in fully desynchronized states. Without the external noise a macroscopic variable shows high-dimensional chaos distinguishable from…

chao-dyn · Physics 2009-10-31 Tatsuo Shibata , Tsuyoshi Chawanya , Kunihiko Kaneko

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

Machine Learning · Computer Science 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

We report on direct measurements of the electronic shot noise of a quantum point contact at frequencies nu in the range 4-8 GHz. The very small energy scale used ensures energy independent transmissions of the few transmitted electronic…

Mesoscale and Nanoscale Physics · Physics 2008-04-22 Eva Zakka-Bajjani , Julien Segala , Fabien Portier , Patrice Roche , Christian Glattli , Antonella Cavanna , Yong Jin

The study of collective decision making system has become the central part of the Swarm- Intelligence Related research in recent years. The most challenging task of modelling a collec- tive decision making system is to develop the…

Artificial Intelligence · Computer Science 2014-10-22 Debdipta Goswami , Heiko Hamann

We study a current shot noise in a macroscopic insulator based on a two-dimensional electron system in GaAs in a variable range hopping (VRH) regime. At low temperature and in a sufficiently depleted sample a shot noise close to a full…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 E. S. Tikhonov , V. S. Khrapai , D. V. Shovkun , D. Schuh
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