Global solvability of a networked integrate-and-fire model of McKean–Vlasov type

F Delarue, J Inglis, S Rubenthaler, E Tanré - 2015 - projecteuclid.org
We here investigate the well-posedness of a networked integrate-and-fire model describing
an infinite population of neurons which interact with one another through their common …

Dominant rule of community effect in synchronized beating behavior of cardiomyocyte networks

K Yasuda - Biophysical Reviews, 2020 - Springer
Exploiting the combination of latest microfabrication technologies and single cell
measurement technologies, we can measure the interactions of single cells, and cell …

Supervised learning and pattern recognition in photonic spiking neural networks based on MRR and phase-change materials

YN Zhang, SY Xiang, YN Han, XX Guo, YH Zhang… - Optics …, 2023 - Elsevier
Traditional computers are limited by the separation of memory and processor units, is
difficult to achieve fast, efficient, and low-power computing. While photonic spiking neural …

[HTML][HTML] Spike frequency adaptation facilitates the encoding of input gradient in insect olfactory projection neurons

H Lee, L Kostal, R Kanzaki, R Kobayashi - Biosystems, 2023 - Elsevier
The olfactory system in insects has evolved to process the dynamic changes in the
concentration of food odors or sex pheromones to localize the nutrients or conspecific …

Interacting Hawkes processes with multiplicative inhibition

C Duval, E Luçon, C Pouzat - Stochastic Processes and their Applications, 2022 - Elsevier
In the present work, we introduce a general class of mean-field interacting nonlinear
Hawkes processes modeling the reciprocal interactions between two neuronal populations …

Dependency analysis of frequency and strength of gamma oscillations on input difference between excitatory and inhibitory neurons

X Gu, F Han, Z Wang - Cognitive Neurodynamics, 2021 - Springer
It has been found that gamma oscillations and the oscillation frequencies are regulated by
the properties of external stimuli in many biology experimental researches. To unveil the …

Colored noise and a stochastic fractional model for correlated inputs and adaptation in neuronal firing

E Pirozzi - Biological cybernetics, 2018 - Springer
High variability in the neuronal response to stimulations and the adaptation phenomenon
cannot be explained by the standard stochastic leaky integrate-and-fire model. The main …

The mean-field limit of sparse networks of integrate and fire neurons

PE Jabin, D Zhou - arXiv preprint arXiv:2309.04046, 2023 - arxiv.org
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 …

A leaky integrate-and-fire model with adaptation for the generation of a spike train

A Buonocore, L Caputo, E Pirozzi… - Mathematical …, 2015 - aimsciences.org
A model is proposed to describe the spike-frequency adaptation observed in many neuronal
systems. We assume that adaptation is mainly due to a calcium-activated potassium current …

Ultrafast simulation of large-scale neocortical microcircuitry with biophysically realistic neurons

VJ Oláh, NP Pedersen, MJM Rowan - Elife, 2022 - elifesciences.org
Understanding the activity of the mammalian brain requires an integrative knowledge of
circuits at distinct scales, ranging from ion channel gating to circuit connectomics …