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Neurons regulate the distribution of signaling components across an extended tree-like cellular structure using both local and global feedback control. This is hypothesized to allow homeostatic control of the electrical activity of a neuron…

适应与自组织系统 · 物理学 2021-04-27 Saeed Aljaberi , Adriano Bellotti , Timothy O'Leary , Fulvio Forni

The anatomically layered structure of a human brain results in leveled functions. In all these levels of different functions, comparison, feedback and imitation are the universal and crucial mechanisms. Languages, symbols and tools play key…

神经元与认知 · 定量生物学 2018-02-07 Shengyong Xu , Jingjing Xu , Rujun Dai

The dynamical properties of a diluted fully-inhibitory network of pulse-coupled neurons are investigated. Depending on the coupling strength, two different phases can be observed. At low coupling the evolution rapidly converges towards…

无序系统与神经网络 · 物理学 2009-11-11 Ruediger Zillmer , Roberto Livi , Antonio Politi , Alessandro Torcini

Explosive synchronization refers to an abrupt (first order) transition to non-zero phase order parameter in oscillatory networks, underpinned by the bistability of synchronous and asynchronous states. Growing evidence suggests that this…

混沌动力学 · 物理学 2023-11-20 Tetyana Laptyeva , Sarika Jalan , Mikhail Ivanchenko

Deep artificial neural networks have surpassed human-level performance across a diverse array of complex learning tasks, establishing themselves as indispensable tools in both social applications and scientific research. Despite these…

无序系统与神经网络 · 物理学 2025-09-03 Chuanbo Liu , Jin Wang

Synchronization in neural networks is strongly tied to the implementation of cognitive processes, but abnormal neuronal synchronization has been linked to a number of brain disorders such as epilepsy and schizophrenia. Here we examine the…

神经元与认知 · 定量生物学 2020-02-27 Brenton Maisel , Katja Lindenberg

We investigate synchronization in complex networks of noisy phase oscillators. We find that, while too weak a coupling is not sufficient for the whole system to synchronize, too strong a coupling induces a nontrivial type of phase slip…

适应与自组织系统 · 物理学 2016-07-27 Yasuaki Kobayashi , Hiroshi Kori

Many networks must maintain synchrony despite the fact that they operate in noisy environments. Important examples are stochastic inertial oscillators, which are known to exhibit fluctuations with broad tails in many applications, including…

适应与自组织系统 · 物理学 2019-12-03 Jason Hindes , Philippe Jacquod , Ira B. Schwartz

We consider synchronization of coupled dynamical systems when different types of interactions are simultaneously present. We assume that a set of dynamical systems are coupled through the connections of two or more distinct networks (each…

混沌动力学 · 物理学 2015-05-28 Francesco Sorrentino

Synchronization in networks with delayed coupling are ubiquitous in nature and play a key role in almost all fields of science including physics, biology, ecology, climatology and sociology. In general, the published works on network…

光学 · 物理学 2013-05-30 Micha Nixon , Moti Fridman , Eitan Ronen , Asher A. Friesem , Nir Davidson , Ido Kanter

In a predator-prey metapopulation, the two traits are adversely related: synchronization and persistence. A decrease in synchrony apparently leads to an increase in persistence and, therefore, necessitates the study of desynchrony in a…

种群与进化 · 定量生物学 2023-10-19 Palash Kumar Pal , Md Sayeed Anwar , Dibakar Ghosh

Synchronization across long neural distances is a functionally important phenomenon. In order to access the mechanistic basis of long-range synchrony, we constructed an experimental model that enables monitoring of spiking activities over…

神经元与认知 · 定量生物学 2018-02-23 Hanna Keren , Shimon Marom

Malfunctioning neurons in the brain sometimes operate synchronously, reportedly causing many neurological diseases, e.g. Parkinson's. Suppression and control of this collective synchronous activity are therefore of great importance for…

神经元与认知 · 定量生物学 2021-09-22 Dmitrii Krylov , Remi Tachet , Romain Laroche , Michael Rosenblum , Dmitry V. Dylov

We investigate the transition to synchronization in a two-layer network with time-switching inter-layer links. We focus on the role of the number of inter-layer links and the time-scale of topological changes. Initially, we observe a smooth…

适应与自组织系统 · 物理学 2021-11-03 Muhittin Cenk Eser , Everton S. Medeiros , Mustafa Riza , Anna Zakharova

Currently we routinely develop a complex neuronal network to explain observed but often paradoxical phenomena based upon biological recordings. Here we present a general approach to demonstrate how to mathematically tackle such a complex…

定量方法 · 定量生物学 2015-06-03 Yu Wu , Wenlian Lu , Wei Lin , Gareth Leng , Jianfeng Feng

It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively discusses the challenges associated with modelling the…

神经元与认知 · 定量生物学 2024-11-01 Hina Shaheen , Roderick Melnik

The interactions play one of the central roles in the brain mediating various processes and functions. They are particularly important for the brain as a complex system that has many different functions from the same structural…

适应与自组织系统 · 物理学 2020-08-19 Tomislav Stankovski

To learn and reason in the presence of uncertainty, the brain must be capable of imposing some form of regularization. Here we suggest, through theoretical and computational arguments, that the combination of noise with synchronization…

神经元与认知 · 定量生物学 2013-12-06 Jake Bouvrie , Jean-Jacques Slotine

Task-trained recurrent neural networks (RNNs) are widely used in neuroscience and machine learning to model dynamical computations. To gain mechanistic insight into how neural systems solve tasks, prior work often reverse-engineers…

机器学习 · 计算机科学 2026-02-11 Ann Huang , Satpreet H. Singh , Flavio Martinelli , Kanaka Rajan

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…

混沌动力学 · 物理学 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz