Cover Image

Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Feng, Xiaobing, Jiang, Tingao
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Analysis of PDEs 35K57, 35Q92, 65M22, 65M60, 92B05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
by: Antonietti, Paola F., et al.
Published: (2025)

Analysis and numerical simulation of a spatio-temporal Ricker-type model for the control of Aedes aegypti mosquitoes with Sterile Insect Techniques
by: Escobar-Lasso, Oscar Eduardo, et al.
Published: (2026)

A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
by: Antonietti, Paola F., et al.
Published: (2025)

Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems
by: Gómez, Sergio, et al.
Published: (2024)

Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
by: Acosta-Soba, Daniel, et al.
Published: (2026)

Convergence and error analysis of a semi-implicit finite volume scheme for the Gray--Scott system
by: Randrianasolo, Tsiry Avisoa
Published: (2025)

A discrete data assimilation algorithm for the reconstruction of Gray--Scott dynamics
by: Randrianasolo, Tsiry Avisoa
Published: (2025)

Neural network-enhanced $hr$-adaptive finite element algorithm for parabolic equations
by: Hao, Jiaxiong, et al.
Published: (2025)

Mathematical modeling and sensitivity analysis of hypoxia-activated drugs
by: Coclite, Alessandro, et al.
Published: (2025)

Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions
by: Garcke, Harald, et al.
Published: (2023)

A finite volume scheme for the local sensing chemotaxis model
by: Herda, Maxime, et al.
Published: (2024)

Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration
by: Menci, Marta, et al.
Published: (2025)

Error analysis of a fully discrete structure-preserving finite element scheme for a diffuse-interface model of tumour growth
by: Soenjaya, Agus L., et al.
Published: (2025)

Convergence of a finite volume scheme for a model for ants
by: Bruna, Maria, et al.
Published: (2025)

Convergence of a finite-volume scheme for aggregation-diffusion equations with saturation
by: Gómez-Castro, David
Published: (2025)

Global stability in a negative chemotaxis system with chemically induced lethality
by: Herrero-Hervás, Federico, et al.
Published: (2026)

Weak global solvability of a doubly degenerate parabolic-elliptic nutrient taxis system
by: Herrero-Hervás, Federico
Published: (2026)

Reduced dynamics for models of pattern formation
by: Hausenblas, Erika, et al.
Published: (2024)

Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
by: Xu, Jie, et al.
Published: (2024)

A curvature flow approach to dorsal closure modelling
by: He, Shuhui, et al.
Published: (2025)

A Novel Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Chemotaxis System
by: Wang, Zhongjian, et al.
Published: (2023)

Convergence to equilibrium for a degenerate three species reaction-diffusion system
by: Das, Saumyajit, et al.
Published: (2024)

A generalized Scharfetter-Gummel scheme for nonlocal cross-diffusion systems
by: Jüngel, Ansgar, et al.
Published: (2026)

On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
by: Fagioli, S., et al.
Published: (2023)

Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system
by: Zhao, Yu, et al.
Published: (2024)

Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes
by: Karatzas, EFthymios N.
Published: (2024)

Iterative algorithms for the reconstruction of early states of prostate cancer growth
by: Beretta, Elena, et al.
Published: (2024)

Global weak solutions to a doubly degenerate nutrient taxis system on the whole real line
by: Herrero-Hervás, Federico
Published: (2025)

Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques
by: Soenjaya, Agus L.
Published: (2025)

The Landau--Lifshitz--Bloch equation with spin diffusion: Global strong solution and finite element approximation
by: Soenjaya, Agus L.
Published: (2026)

Drift-diffusion equations with saturation
by: Carrillo, José Antonio, et al.
Published: (2024)

A time-fractional Fisher-KPP equation for tumor growth: Analysis and numerical simulation
by: Fritz, Marvin, et al.
Published: (2025)

Refining Hölder regularity theory in degenerate drift-diffusion equations
by: Black, Tobias
Published: (2024)

Similarity Solutions for the Flux limited Keller Segel System with Time Varying Chemical Decay Rate
by: Furaiji, Ahmed Abbas Jaber Al, et al.
Published: (2026)

Counting the number of stationary solutions of Partial Differential Equations via infinite dimensional sampling
by: Kolodziejczyk, Martin, et al.
Published: (2024)

Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal
by: Zhigun, Anna
Published: (2024)

Weak formulation and spectral approximation of a Fokker-Planck equation for neural ensembles
by: Yan, Ling, et al.
Published: (2024)

From Finite to Continuous Phenotypes in (Visco-)Elastic Tissue Growth Models
by: Dębiec, Tomasz, et al.
Published: (2024)

On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
by: Cavalleri, Giulia, et al.
Published: (2025)

Numerical simulations of the Gatenby-Gawlinski model with heterogeneous acid diffusion in one space dimension
by: Simeoni, Chiara, et al.
Published: (2025)