Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay-Reference-Cited by-同舟云学术

Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay

Published:2019-07-15 Issue:12 Volume:44 Page:1358-1386
ISSN:0360-5302
Container-title:Communications in Partial Differential Equations
language:en
Short-container-title:Communications in Partial Differential Equations

Author:

Cáceres María J.¹,Roux Pierre²,Salort Delphine³,Schneider Ricarda⁴

Affiliation:

1. Departamento de Matemática Aplicada, Universidad de Granada, Granada, Spain;

2. Laboratoire de biologie computationnelle et quantitative (LCQB), UMR 7238 CNRS, Université Pierre et Marie Curie, France et Laboratoire de Mathématiques d’Orsay (LMO), Université Paris-Sud, Paris-Saclay, Orsay, France;

3. Laboratory of Computational and Quantitative Biology (LCQB), UMR 7238 CNRS, Université Pierre et Marie Curie, Paris, France;

4. Departamento de Matemática Aplicada, Universidad de Granada, Granada, Spain

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/03605302.2019.1639732

Reference25 articles.

1. Dynamics of current-based, Poisson driven, integrate-and-fire neuronal networks

2. Synchronization of an Excitatory Integrate-and-Fire Neural Network

3. On a voltage-conductance kinetic system for integrate & fire neural networks

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5. Particle systems with a singular mean-field self-excitation. Application to neuronal networks

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