On the construction of analytic solutions for a diffusion-reaction equation with a discontinuous switch mechanism
From MaRDI portal
Publication:2271983
DOI10.1016/j.cam.2009.05.022zbMath1178.35226OpenAlexW2145707983MaRDI QIDQ2271983
Publication date: 5 August 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.05.022
Asymptotic behavior of solutions to PDEs (35B40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Medical applications (general) (92C50) Solutions to PDEs in closed form (35C05)
Related Items
A semi-stochastic cell-based model for in vitro infected `wound' healing through motility reduction: a simulation study ⋮ A finite-element model for healing of cutaneous wounds combining contraction, angiogenesis and closure
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- A simplified mathematical model of tumor growth
- Maximum principles and their applications
- Infinite-dimensional dynamical systems in mechanics and physics.
- Almost periodic solution for a model of tumor growth
- Inside mathematical modeling: Building models in the context of wound healing in bone
- A qualitative analysis of some models of tissue growth
- The effect of surface curvature on wound healing in bone
- Investigating a simple model of cutaneous wound healing angiogenesis
- A simplified model for growth factor induced healing of wounds
- Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
- Mathematical analysis of a basic model for epidermal wound healing
- Nonlinear elliptic boundary-value problems in unbounded domains
- Numerical Modelling of Epidermal Wound Healing
- A simplified model of wound healing. III: The critical size defect in three dimensions