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How neurons process their inputs crucially determines the dynamics of biological and artificial neural networks. In such neural and neural-like systems, synaptic input is typically considered to be merely transmitted linearly or sublinearly…

Biological Physics · Physics 2017-06-01 David Breuer , Marc Timme , Raoul-Martin Memmesheimer

The spatiotemporal stochastic dynamics of the voltage as well as the upcrossing rate are derived for a model neuron comprising a long dendrite with uniformly distributed filtered excitatory and inhibitory synaptic drive. A cascade of…

Neurons and Cognition · Quantitative Biology 2023-04-18 Robert P Gowers , Magnus J E Richardson

We study the stochastic dynamics of strongly-coupled excitable elements on a tree network. The peripheral nodes receive independent random inputs which may induce large spiking events propagating through the branches of the tree and leading…

Biological Physics · Physics 2017-07-14 Justus Kromer , Ali Khaledi-Nasab , Lutz Schimansky-Geier , Alexander B. Neiman

Neurons are spatially extended cells; different parts of a neuron have specific voltage dynamics. Important types of neurons even generate different spikes in different parts of the cell. Neurons' inputs are also often spatially…

Neurons and Cognition · Quantitative Biology 2026-02-06 Audrey O'Brien Teasley , Gabriel Koch Ocker

Cue integration, the combination of different sources of information to reduce uncertainty, is a fundamental computational principle of brain function. Starting from a normative model we show that the dynamics of multi-compartment neurons…

Neurons and Cognition · Quantitative Biology 2020-06-29 Jakob Jordan , João Sacramento , Mihai A. Petrovici , Walter Senn

How extracellular electric fields, as generated endogenously or through transcranial brain stimulation, affect the dynamics of large neuronal populations is of great interest but not well understood. To study the collective dynamics of…

Neurons and Cognition · Quantitative Biology 2016-11-10 Florian Aspart , Josef Ladenbauer , Klaus Obermayer

We investigate the collective dynamics of excitatory-inhibitory excitable networks in response to external stimuli. How to enhance dynamic range, which represents the ability of networks to encode external stimuli, is crucial to many…

Neurons and Cognition · Quantitative Biology 2013-12-24 Sen Pei , Shaoting Tang , Shu Yan , Shijin Jiang , Xiao Zhang , Zhiming Zheng

Neuronal circuits internally regulate electrical signaling via a host of homeostatic mechanisms. Two prominent mechanisms, synaptic scaling and structural plasticity, are believed to maintain average activity within an operating range by…

Neurons and Cognition · Quantitative Biology 2021-04-07 Saeed Aljaberi , Timothy O'Leary , Fulvio Forni

A high degree of structural complexity arises in dynamic neuronal dendrites due to extensive branching patterns and diverse spine morphologies, which enable the nervous system to adjust function, construct complex input pathways and thereby…

Soft Condensed Matter · Physics 2026-03-04 Fabian H. Kreten , Barbara A. Niemeyer , Ludger Santen , Reza Shaebani

A fundamental function of cortical circuits is the integration of information from different sources to form a reliable basis for behavior. While animals behave as if they optimally integrate information according to Bayesian probability…

Neurons and Cognition · Quantitative Biology 2023-09-22 Jakob Jordan , João Sacramento , Willem A. M. Wybo , Mihai A. Petrovici , Walter Senn

Dynamical wiring and rewiring in neural networks are carried out by activity-dependent growth and retraction of axons and dendrites, guided by gudance molecules, released by target cells. Experience-dependent structural changes in cortical…

Neurons and Cognition · Quantitative Biology 2007-05-23 Fail M. Gafarov

Although inspired by neuronal systems in the brain, artificial neural networks generally employ point-neurons, which offer far less computational complexity than their biological counterparts. Neurons have dendritic arbors that connect to…

Emerging Technologies · Computer Science 2025-10-22 A N M Nafiul Islam , Xuezhong Niu , Jiahui Duan , Shubham Kumar , Kai Ni , Abhronil Sengupta

Biological neurons are more powerful than artificial perceptrons, in part due to complex dendritic input computations. Inspired to empower the perceptron with biologically inspired features, we explore the effect of adding and tuning input…

Neural and Evolutionary Computing · Computer Science 2022-07-05 Ziwen Han , Evgeniya Gorobets , Pan Chen

During development, the mammalian brain differentiates into specialized regions with distinct functional abilities. While many factors contribute to functional specialization, we explore the effect of neuronal density on the development of…

Neurons and Cognition · Quantitative Biology 2010-04-14 Michael I. Ham , Vadas Gintautas , Marko A. Rodriguez , Ryan A. Bennett , Cara L. Santa Maria , Luis M. A. Bettencourt

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Noise-delayed decay (NDD) phenomenon emerges when the first-spike latency of a periodically forced stochastic neuron exhibits a maximum for a particular range of noise intensity. Here, we investigate the latency response dynamics of a…

Neurons and Cognition · Quantitative Biology 2015-12-23 M. Uzuntarla , M. Ozer , U. Ileri , A. Calim , J. J. Torres

Many studies have shown that the excitation and inhibition received by cortical neurons remain roughly balanced across many conditions. A key question for understanding the dynamical regime of cortex is the nature of this balancing.…

Neurons and Cognition · Quantitative Biology 2019-08-29 Yashar Ahmadian , Kenneth D. Miller

The dynamic range measures the capacity of a system to discriminate the intensity of an external stimulus. Such an ability is fundamental for living beings to survive: to leverage resources and to avoid danger. Consequently, the larger is…

Neurons and Cognition · Quantitative Biology 2012-05-02 Leonardo L. Gollo , Claudio Mirasso , Víctor M. Eguíluz

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…

Disordered Systems and Neural Networks · Physics 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

Neocortical pyramidal neurons have many dendrites, and such dendrites are capable of, in isolation of one-another, generating a neuronal spike. It is also now understood that there is a large amount of dendritic growth during the first…

Neurons and Cognition · Quantitative Biology 2022-10-31 William B Levy , Robert A. Baxter