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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…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Receptor cells with electrically coupled axons can improve both their input sensitivity and dynamical range due to collective non-linear wave properties. This mechanism is illustrated by a network of axons modeled by excitable maps…

Disordered Systems and Neural Networks · Physics 2007-05-23 Osame Kinouchi

The relative importance of the intrinsic and extrinsic factors determining the variety of geometric shapes exhibited by dendritic trees remains unclear. This question was addressed by developing a model of the growth of dendritic trees…

Neurons and Cognition · Quantitative Biology 2007-05-23 Artur Luczak

Cortical neurons are characterized by irregular firing and a broad distribution of rates. The balanced state model explains these observations with a cancellation of mean excitatory and inhibitory currents, which makes fluctuations drive…

Neurons and Cognition · Quantitative Biology 2020-10-15 Alessandro Sanzeni , Mark H Histed , Nicolas Brunel

We study the dynamic range of a cellular automaton model for a neuronal network with electrical and chemical synapses. The neural network is separated into two layers, where one layer corresponds to inhibitory, and the other corresponds to…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 F. S. Borges , E. L. Lameu , A. M. Batista , K. C. Iarosz , M. S. Baptista , R. L. Viana

Signal propagation in neuronal dendrites represents the basis for interneuron communication and information processing in the brain. Here we take into account charge inhomogeneities arising in the vicinity of ion channels in cytoplasm and…

Neurons and Cognition · Quantitative Biology 2013-12-25 Ivan A. Lazarevich , Victor B. Kazantsev

Recent efforts to understand intermediate representations in deep neural networks have commonly attempted to label individual neurons and combinations of neurons that make up linear directions in the latent space by examining extremal…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Laura O'Mahony , Nikola S. Nikolov , David JP O'Sullivan

Neuronal dendrites form densely branched tree architectures through which mitochondria must be distributed to supply the cell's energetic needs. Dendritic mitochondria circulate through the tree, undergoing fusion and fission to form…

Biological Physics · Physics 2024-05-09 Mario Hidalgo-Soria , Elena F. Koslover

Dendritic computation endows biological neurons with rich nonlinear integration and high representational capacity, yet it is largely missing in existing deep spiking neural networks (SNNs). Although detailed multi-compartment models can…

Neural and Evolutionary Computing · Computer Science 2025-12-23 Yifan Huang , Wei Fang , Zhengyu Ma , Guoqi Li , Yonghong Tian

I consider a topographic projection between two neuronal layers with different densities of neurons. Given the number of output neurons connected to each input neuron (divergence) and the number of input neurons synapsing on each output…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dmitri B. Chklovskii

Neocortical neurons have thousands of excitatory synapses. It is a mystery how neurons integrate the input from so many synapses and what kind of large-scale network behavior this enables. It has been previously proposed that non-linear…

Neurons and Cognition · Quantitative Biology 2016-04-25 Jeff Hawkins , Subutai Ahmad

The mammalian brain could contain dense and sparse network connectivity structures, including both excitatory and inhibitory neurons, but is without any clearly defined output layer. The neurons have time constants, which mean that the…

Neurons and Cognition · Quantitative Biology 2021-06-04 Udaya B. Rongala , Henrik Jörntell

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

In a neuron with hyperpolarization activated current ($I_h$), the correct input frequency leads to an enhancement of the output response. This behavior is known as resonance and is well described by the neuronal impedance. In a simple…

Neurons and Cognition · Quantitative Biology 2018-04-18 Rodrigo F. O. Pena , Cesar C. Ceballos , Vinicius Lima , Antonio C. Roque

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

The brain is in a state of perpetual reverberant neural activity, even in the absence of specific tasks or stimuli. Shedding light on the origin and functional significance of such a dynamical state is essential to understanding how the…

Statistical Mechanics · Physics 2022-07-08 Guillermo B. Morales , Serena Di Santo , Miguel A. Munoz

The analyses presented herein demonstrate that neuronal electrical activity can be consistently interpreted as a manifestation of murburn redox-mediated electronic dynamics rather than as a process fundamentally driven by transmembrane…

Neurons and Cognition · Quantitative Biology 2026-05-04 Kelath Murali Manoj , Nagamani Sukumar

Networks of excitable nodes have recently attracted much attention particularly in regards to neuronal dynamics, where criticality has been argued to be a fundamental property. Refractory behavior, which limits the excitability of neurons…

Disordered Systems and Neural Networks · Physics 2018-10-22 S. Amin Moosavi , Afshin Montakhab , Alireza Valizadeh

Inspired by the diversity of biological neurons, quadratic artificial neurons can play an important role in deep learning models. The type of quadratic neurons of our interest replaces the inner-product operation in the conventional neuron…

Machine Learning · Computer Science 2023-09-12 Feng-Lei Fan , Mengzhou Li , Fei Wang , Rongjie Lai , Ge Wang

Neurons are spatially extended structures that receive and process inputs on their dendrites. It is generally accepted that neuronal computations arise from the active integration of synaptic inputs along a dendrite between the input…

Neurons and Cognition · Quantitative Biology 2013-09-11 Willem A. M. Wybo , Klaus M. Stiefel , Benjamin Torben-Nielsen