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Author summary: Synchronization of neuronal spiking in the brain is related to cognitive functions, such as perception, attention, and memory. It is therefore important to determine which properties of neurons influence their collective…

Neurons and Cognition · Quantitative Biology 2013-11-06 Josef Ladenbauer , Moritz Augustin , LieJune Shiau , Klaus Obermayer

Correlated electrical activity in neurons is a prominent characteristic of cortical microcircuits. Despite a growing amount of evidence concerning both spike-count and subthreshold membrane potential pairwise correlations, little is known…

Neurons and Cognition · Quantitative Biology 2019-07-29 Daniele Linaro , Gabriel K. Ocker , Brent Doiron , Michele Giugliano

Brain-inspired neuromorphic computing is a promising path towards next generation analogue computers that are fundamentally different compared to the conventional von Neumann architecture. One model for neuromorphic computing that can mimic…

Disordered Systems and Neural Networks · Physics 2023-08-22 Verena Brehm , Johannes W. Austefjord , Serban Lepadatu , Alireza Qaiumzadeh

We consider a wide class of spiking neuron models, defined by rather general set of conditions typical for basic models like leaky integrate and fire, or binding neuron model. A neuron is fed with a point renewal process. A relation between…

Neurons and Cognition · Quantitative Biology 2015-02-13 Alexander K. Vidybida

The Fitzhugh-Nagumo neuronal model is used to explore the influence of the electric field on thermosensitive neurons' dynamics. This study investigates how the electric field affects polarization modulation in cell media induced by changes…

Chaotic Dynamics · Physics 2025-02-13 Ediline L. F. Nguessap , Fernando F. Ferreira , Antonio C. Roque

We propose another integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interaction using the Fokker-Planck equation and the Langevin equation, and find a reentrant…

Neurons and Cognition · Quantitative Biology 2009-11-11 H. Sakaguchi , S. Tobiishi

In this report trial-to-trial variations in the synchronized responses of neural networks are offered as evidence for excitation-inhibition ratio being a dynamic variable over time scales of minutes. Synchronized network responses to…

Neurons and Cognition · Quantitative Biology 2015-01-05 Netta Haroush , Shimon Marom

Heterogeneity of neural attributes has recently gained a lot of attention and is increasing recognized as a crucial feature in neural processing. Despite its importance, this physiological feature has traditionally been neglected in…

Neurons and Cognition · Quantitative Biology 2016-11-22 Cheng Ly

The effect of environmental temperature on neuronal spiking behaviors is investigated by numerically simulating the temperature dependence of spiking threshold of the Hodgkin-Huxley neuron subject to synaptic stimulus. We find that the…

Neurons and Cognition · Quantitative Biology 2009-11-13 Shenbing Kuang , Jiafu Wang , Ting Zeng , Aiyin Cao

Networks in the brain consist of different types of neurons. Here we investigate the influence of neuron diversity on the dynamics, phase space structure and computational capabilities of spiking neural networks. We find that already a…

Neurons and Cognition · Quantitative Biology 2019-10-09 Paul Manz , Sven Goedeke , Raoul-Martin Memmesheimer

Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining…

Neurons and Cognition · Quantitative Biology 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

Computational models of cortical activity provide insight into the mechanisms of higher-order processing in the human brain including planning, perception and the control of movement. Activity in the cortex is ongoing even in the absence of…

Neurons and Cognition · Quantitative Biology 2023-07-07 Lysea Haggie , Thor Besier , Angus McMorland

We study the global dynamics of integrate and fire neural networks composed of an arbitrary number of identical neurons interacting by inhibition and excitation. We prove that if the interactions are strong enough, then the support of the…

Dynamical Systems · Mathematics 2013-09-10 E. Catsigeras , P. Guiraud

The voltage-conductance kinetic equation for integrate and fire neurons has been used in neurosciences since a decade and describes the probability density of neurons in a network. It is used when slow conductance receptors are activated…

Analysis of PDEs · Mathematics 2013-10-11 Benoit Perthame , Delphine Salort

The response of neurons is highly sensitive to the stimulus. The stimulus can be associated with a direct injection in vitro experimentation (e.g., time dependent and independent inputs); or post-synaptic potentials resulting from the…

Neurons and Cognition · Quantitative Biology 2024-01-09 Afifurrahman , Mohd Hafiz Mohd , Farah Aini Abdullah

Neural processing systems typically represent data using leaky integrate and fire (LIF) neuron models that generate spikes or pulse trains at a rate proportional to their input amplitudes. This mechanism requires high firing rates when…

Emerging Technologies · Computer Science 2019-05-07 Manu V Nair , Giacomo Indiveri

We study the mean-field limit of a model of biological neuron networks based on the so-called stochastic integrate-and-fire (IF) dynamics. Our approach allows to derive a continuous limit for the macroscopic behavior of the system, the…

Probability · Mathematics 2023-09-11 Pierre-Emmanuel Jabin , Datong Zhou

The adaptive leaky integrate-and-fire (ALIF) model is fundamental within computational neuroscience and has been instrumental in studying our brains $\textit{in silico}$. Due to the sequential nature of simulating these neural models, a…

Neural and Evolutionary Computing · Computer Science 2023-11-21 Luke Taylor , Andrew J King , Nicol S Harper

To thrive in dynamic environments, animals must be capable of rapidly and flexibly adapting behavioral responses to a changing context and internal state. Examples of behavioral flexibility include faster stimulus responses when attentive…

Neurons and Cognition · Quantitative Biology 2021-01-27 David Wyrick , Luca Mazzucato

The background activity of a cortical neural network is modeled by a homogeneous integrate-and-fire network with unreliable inhibitory synapses. Numerical and analytical calculations show that the network relaxes into a stationary state of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfgang Kinzel
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