MENÜ MENÜ  

cover

Multiscale modeling and homogenization of reaction-diffusion systems involving biological surfaces

Augsburger Schriften zur Mathematik, Physik und Informatik , Bd. 21

Isabell Graf

ISBN 978-3-8325-3397-7
285 pages, year of publication: 2013
price: 46.50 €
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.

Keywords:
  • Multiscale modeling
  • Periodic homogenization
  • Reaction-diffusion systems
  • Carcinogenesis and T-cell signaling
  • Surface diffusion

Buying Options

46.50 €

40.50 €
56.50 €
60.50 €

(D) = Within Germany
(W) = Abroad

*You can purchase the eBook (PDF) alone or combined with the printed book (eBundle). In both cases we use the payment service of PayPal for charging you - nevertheless it is not necessary to have a PayPal-account. With purchasing the eBook or eBundle you accept our licence for eBooks.

For multi-user or campus licences (MyLibrary) please fill in the form or write an email to order@logos-verlag.de