Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions
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Publication:3503194
DOI10.1017/S095679250800733XzbMath1136.92023MaRDI QIDQ3503194
Publication date: 22 May 2008
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37) General topics in partial differential equations (35A99)
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Cites Work
- Diffusive age-dependent population models and an application to genetics
- Semigroups of linear operators and applications to partial differential equations
- Nonlinear age-dependent population dynamics with random diffusion
- Positivity and stability for a population equation with diffusion on \(L^1\)
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
- A mathematical model of vascular tumour growth and invasion
- Age-structured diffusion in a multi-layer environment
- Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion
- Global Existence of Classical Solutions for a Haptotaxis Model
- A Nonlinear Problem in Age-Dependent Population Diffusion
- An Initial-Boundary Value Problem for Age-Dependent Population Diffusion
- Computational Methods and Results for Structured Multiscale Models of Tumor Invasion
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
