Bulk-surface coupling: derivation of two models
From MaRDI portal
Publication:831092
DOI10.1016/j.jde.2021.04.011zbMath1475.35186OpenAlexW3156260972MaRDI QIDQ831092
Jingyu Li, Yantao Wang, Linlin Su, Xuefeng Wang
Publication date: 10 May 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.04.011
Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Cell biology (92C37) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
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Cites Work
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- Polarization and movement of keratocytes: a multiscale modelling approach
- Asymptotic behavior of Robin problem for heat equation on a coated body
- Turing instabilities in a mathematical model for signaling networks
- The effective boundary conditions and their lifespan of the logistic diffusion equation on a coated body
- Global existence of solutions to volume-surface reaction diffusion systems with dynamic boundary conditions.
- Asymptotic behavior of solutions to elliptic equations in a coated body
- Reinforcement problems for elliptic equations and variational inequalities
- An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
- Effective boundary conditions resulting from anisotropic and optimally aligned coatings: the two dimensional case
- The influence of a line with fast diffusion on Fisher-KPP propagation
- Mathematical model for positioning the FtsZ contractile ring in \textit{Escherichia coli}
- Problèmes de perturbations lies aux phénomènes de conduction à travers des couches minces de grande resistivite
- A coupled bulk-surface model for cell polarisation
- Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology
- Symmetry breaking in a bulk–surface reaction–diffusion model for signalling networks
- REINFORCEMENT OF THE POISSON EQUATION BY A THIN LAYER
- Global Existence of Solutions to Reaction-Diffusion Systems with Mass Transport Type Boundary Conditions
- Suppression of the Dirichlet Eigenvalues of a Coated Body
- Asymptotic analysis of a Dirichlet problem for the heat equation on a coated body
- Using effective boundary conditions to model fast diffusion on a road in a large field
- Homogenization of reactive flows in porous media and competition between bulk and surface diffusion
- The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer--Meinhardt Model
