Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Maria Neuss-Radu"'
Publikováno v:
Journal of Differential Equations. 289:95-127
We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear reactions in the bulk and at the microscopic boundary, and slow diffusion scaling. The microstructure changes in time; the microstructural evolution is known a
In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur in lung tissue due to respiratory movement. The underlying microscopic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::950b1daab9efb39c8aa7e1c45b9a5cd9
http://arxiv.org/abs/2206.06671
http://arxiv.org/abs/2206.06671
Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium
We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson's equation for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5d6f33c3c7391b4e561ce750b1f58e9
http://arxiv.org/abs/2110.09257
http://arxiv.org/abs/2110.09257
In this study, we formulated a mathematical model of hypoxia-inducible factor 1 (HIF-1) mediated regulation of cellular energy metabolism describing the reprogramming of cell metabolic processes from oxidative phosphorylation to glycolysis under redu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4534da3cd6399ac8b9b03518371662c
https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/23040
https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/23040
Autor:
Markus Gahn, Maria Neuss-Radu
We consider a nonlinear reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The height and the thickness of the channels are of order $\epsilon$, and the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07956b8d56827a25f364e0de12fc00d6
http://arxiv.org/abs/2003.13310
http://arxiv.org/abs/2003.13310
We consider a reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The height and the thickness of the channels are of order $\epsilon$, and the equation in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b5e41ff419977fd9d6e1dc89e9f8343
Publikováno v:
Journal of Mathematical Analysis and Applications. 461:1544-1560
In this paper, we derive mathematical models for the dynamics of superparamagnetic nanoparticles under the influence of applied magnetic fields. Such models are needed in many applications, e.g. magnetic drug targeting in cancer therapy. They are the
Publikováno v:
Networks & Heterogeneous Media. 13:609-640
In this paper, we consider a system of reaction-diffusion equations in a domain consisting of two bulk regions separated by a thin layer with thickness of order $e$ and a periodic heterogeneous structure. The equations inside the layer depend on $e$
Publikováno v:
Vietnam Journal of Mathematics. 45:1-4
This is the second issue of the annual series of Vietnam Journal of Mathematics, which is named IWR Special Issue on Scientific Computing and is led by the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University. This issue i
Publikováno v:
Free radical research. 53(9-10)
Elevated intracellular levels of reactive oxygen species (ROS), e.g. resulting from exposure to xenobiotics, can cause severe damages. Antioxidant defence mechanisms, which involve regulation of enzyme activities, protect cells to a certain extent. N