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Multiscale Modeling and Homogenization of Reaction-Diffusion Systems Involving Biological Surfaces
Annotation
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
Logos Verlag Berlin,
2013.
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| Colección: | Augsburger Schriften Zur Mathematik, Physik und Informatik Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; 1 Introduction; 2 Linear carcinogenesis model; 2.1 Two-scale convergence; 2.2 Linear carcinogenesis problem; 2.3 Estimations for the linear carcinogenesis model; 2.4 Abbreviation of the model; 2.5 Existence of a solution; 2.6 Identification of the two-scale limit; 2.7 Uniqueness of the limit model; 2.8 Simulations of the linear carcinogenesis model; 3 Nonlinear carcinogenesis model; 3.1 Nonlinear homogenization; 3.2 The periodic unfolding method; 3.3 Nonlinear carcinogenesis problem; 3.4 Estimations for the nonlinear carcinogenesis model; 3.5 Existence of a solution
- 3.6 Identification of the limit model for the nonlinear carcinogenesis model3.7 Uniqueness of the limit model; 3.8 Simulations of the nonlinear carcinogenesis model; 4 Calcium-stim1 model; 4.1 Two-step convergence; 4.2 Limit behavior on Neumann and Robin boundaries; 4.3 Signaling in Lymphocytes: Stim1 and Orai1; 4.4 Estimations for the Calcium-Stim1 model; 4.5 Existence of a solution; 4.6 Identification of the calcium-stim1 limit model; 4.7 Delta-Limit of the homogeneous model; 4.8 Uniqueness of the Limit Model; 4.9 Implementation and discussion