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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.
|
| Colección: | Augsburger Schriften Zur Mathematik, Physik und Informatik Ser.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 008 | 190921s2013 gw o 000 0 eng d | ||
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| 019 | |a 1290039252 | ||
| 020 | |a 9783832591489 | ||
| 020 | |a 3832591486 | ||
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| 035 | |a (OCoLC)1112424143 |z (OCoLC)1290039252 | ||
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| 082 | 0 | 4 | |a 571.65 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Graf, Isabella. | |
| 245 | 1 | 0 | |a Multiscale Modeling and Homogenization of Reaction-Diffusion Systems Involving Biological Surfaces |
| 260 | |a Berlin : |b Logos Verlag Berlin, |c 2013. | ||
| 300 | |a 1 online resource (288 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Augsburger Schriften Zur Mathematik, Physik und Informatik Ser. ; |v v. 21 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 520 | 8 | |a Annotation |b Many complex chemical processes are responsible for the proper functioning of the human body. A prime example is the finely structured endoplasmic reticulum, which plays an important role in the metabolisms of human cells. To handle mathematical models that account for this fine structure, periodic homogenization methods are derived and applied. Previous results on homogenization of partial differential equations on finely structured manifolds are extended: Using the periodic unfolding method, diffusion terms on manifolds with different scalings with powers of the homogenization parameter, in particular in case of fast diffusion, are homogenized and are applied in three different biological systems: a linear model of carcinogenesis of cells, a nonlinear extension of the linear carcinogenesis model and a model considering T-cell signaling. Simulations and interpretations of the homogeneous T-cell signaling model give an insight into the related biological mechanisms. | |
| 504 | |a Includes bibliographical references. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Endoplasmic reticulum. | |
| 650 | 2 | |a Endoplasmic Reticulum | |
| 650 | 6 | |a Réticulum endoplasmique. | |
| 650 | 7 | |a Endoplasmic reticulum |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Graf, Isabella. |t Multiscale Modeling and Homogenization of Reaction-Diffusion Systems Involving Biological Surfaces. |d Berlin : Logos Verlag Berlin, ©2013 |z 9783832533977 |
| 830 | 0 | |a Augsburger Schriften Zur Mathematik, Physik und Informatik Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5850425 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5850425 | ||
| 994 | |a 92 |b IZTAP | ||