Cover Image

Resolving the Blow-Up: A Time-Dilated Numerical Framework for Multiple Firing Events in Mean-Field Neuronal Networks

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dou, Xu'an, Tao, Louis, Xue, Zhe, Zhou, Zhennan
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis Analysis of PDEs Neurons and Cognition
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

High-fidelity and Network-based Spatio-temporal Mathematical Models of Alzheimer's Disease Progression and their Validation Against PET-SUVR Imaging Data
by: Caon, Beatrice, et al.
Published: (2026)

A Simple Channel Compression Method for Brain Signal Decoding on Classification Task
by: Ji, Changqing, et al.
Published: (2024)

Neurodevelopmental disorders modeling using isogeometric analysis, dynamic domain expansion and local refinement
by: Qian, Kuanren, et al.
Published: (2024)

A whole-brain model of amyloid beta accumulation and cerebral hypoperfusion in Alzheimer's disease
by: Corti, Mattia, et al.
Published: (2026)

Wave propagation phenomena in nonlinear hierarchical neural networks with predictive coding feedback dynamics
by: Alamia, Andrea, et al.
Published: (2025)

Radial Basis Function Techniques for Neural Field Models on Surfaces
by: Shaw, Sage B, et al.
Published: (2025)

Early Recognition of Parkinson's Disease Through Acoustic Analysis and Machine Learning
by: Fadavi, Niloofar, et al.
Published: (2024)

Neuronal Spike Trains as Functional-Analytic Distributions: Representation, Analysis, and Significance
by: Silva, Gabriel A.
Published: (2026)

Control of neural field equations with step-function inputs
by: Tamekue, Cyprien, et al.
Published: (2025)

Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex
by: Barbieri, Davide
Published: (2026)

Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp
by: Kumar, Dibyakanti, et al.
Published: (2023)

Hyperbolic embedding of brain networks as a tool for epileptic seizures forecasting
by: Guillemaud, Martin, et al.
Published: (2024)

Topological Time Frequency Analysis of Functional Brain Signals
by: Chung, Moo K., et al.
Published: (2025)

Low-dimensional representation of brain networks for seizure risk forecasting
by: Rico-Aparicio, Steven, et al.
Published: (2025)

Blow-up of solutions for discrete semilinear wave equation with the scale-invariant damping
by: Wada, Koji, et al.
Published: (2025)

A mathematical model of the visual MacKay effect
by: Tamekue, Cyprien, et al.
Published: (2023)

Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
by: Do, Ngoc, et al.
Published: (2024)

Are EEG functional networks really describing the brain? A comparison with other information-processing complex systems
by: Gil-Rodrigo, Sofia, et al.
Published: (2024)

Uncovering dynamical equations of stochastic decision models using data-driven SINDy algorithm
by: Lenfesty, Brendan, et al.
Published: (2024)

IntrinsicTimescales.jl: A Julia package to estimate intrinsic (neural) timescales (INTs) from time-series data
by: Catal, Yasir, et al.
Published: (2025)

Modularity, Hierarchical Flows and Symmetry of the Drosophila Connectome
by: Grindrod, Peter, et al.
Published: (2024)

Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations
by: Cen, Siyu, et al.
Published: (2026)

Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations
by: Franz, Sebastian, et al.
Published: (2026)

Multiple Neuronal Specializations Elicited By Socially Driven Recognition Of Food Odors
by: Plusnin, Viktor, et al.
Published: (2024)

Temporal Complexity of a Hopfield-Type Neural Model in Random and Scale-Free Graphs
by: Cafiso, Marco, et al.
Published: (2024)

Spectral Prescribed Mean Curvature
by: Haug, Jonas, et al.
Published: (2024)

Dirichlet-Neumann Waveform Relaxation Method with Multiple Subdomains for Reaction-Diffusion Equation with a Time Delay
by: Mandal, Bankim C., et al.
Published: (2026)

A parallel solver for random input problems via Karhunen-Loève expansion and diagonalized coarse grid correction
by: Dai, Dou, et al.
Published: (2025)

Numerical stabilization method by switching time-delay
by: Ammari, Kaïs, et al.
Published: (2024)

Metric Framework of Coherent Activity Patterns Identification in Spiking Neuronal Networks
by: Radushev, Daniil, et al.
Published: (2025)

$L^p$ Estimates for Numerical Approximation of Hamilton-Jacobi Equations
by: Basti, Alessio, et al.
Published: (2025)

Numerical study of the Serre-Green-Naghdi equations in 2D
by: Gavrilyuk, S., et al.
Published: (2023)

Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis
by: Galkowski, Jeffrey, et al.
Published: (2025)

Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
by: Gaudry, Théo, et al.
Published: (2026)

Numerical analysis of the homogeneous Landau equation: approximation, error estimates and simulation
by: Filbet, Francis, et al.
Published: (2025)

Numerical Approximation and Bifurcation Results for an Elliptic Problem with Superlinear Subcritical Nonlinearity on the Boundary
by: Bandyopadhyay, Shalmali, et al.
Published: (2025)

Numerical Analysis of a Coupled 3D-1D Transport Problem
by: Taylor-LaPole, Alyssa, et al.
Published: (2026)

The Zero Inertia Limit for the Q-Tensor Model of Liquid Crystals: Analysis and Numerics
by: Hirsch, Max, et al.
Published: (2024)

A comprehensive numerical investigation of a coupled mathematical model of neuronal excitability
by: Gürbüz, Burcu, et al.
Published: (2025)

Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation
by: Pham, Ha, et al.
Published: (2024)