Navigation überspringen
Universitätsbibliothek Heidelberg
Status: Bibliographieeintrag

Verfügbarkeit
Standort: ---
Exemplare: ---
heiBIB
 Online-Ressource
Verfasst von:Marciniak-Czochra, Anna [VerfasserIn]   i
 Ptashnyk, Mariya [VerfasserIn]   i
Titel:Derivation of a macroscopic receptor-based model using homogenization techniques
Verf.angabe:Anna Marciniak-Czochra and Mariya Ptashnyk
Umfang:23 S.
Fussnoten:Gesehen am 25.07.2018
Titel Quelle:Enthalten in: Society for Industrial and Applied Mathematics: SIAM journal on mathematical analysis
Jahr Quelle:2008
Band/Heft Quelle:40(2008), 1, S. 215-237
ISSN Quelle:1095-7154
Abstract:We study the problem of diffusive transport of biomolecules in the intercellular space, modeled as porous medium, and of their binding to the receptors located on the surface membranes of the cells. Cells are distributed periodically in a bounded domain. To describe this process we introduce a reaction-diffusion equation coupled with nonlinear ordinary differential equations on the boundary. We prove existence and uniqueness of the solution of this problem. We consider the limit, when the number of cells tends to infinity and at the same time their size tends to zero, while the volume fraction of the cells remains fixed. Using the homogenization technique of two-scale convergence, we show that the sequence of solutions of the original problem converges to the solution of the so-called macroscopic problem. To show the convergence of the nonlinear terms on the surfaces we use the unfolding method (periodic modulation). We discuss applicability of the result to mathematical description of membrane receptors of biological cells and compare the derived model with those previously considered.
DOI:doi:10.1137/050645269
URL:Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.

Resolving-System: http://dx.doi.org/10.1137/050645269
 Verlag: https://epubs.siam.org/doi/abs/10.1137/050645269
 DOI: https://doi.org/10.1137/050645269
Datenträger:Online-Ressource
Sprache:eng
K10plus-PPN:1577932528
Verknüpfungen:→ Zeitschrift

Permanenter Link auf diesen Titel (bookmarkfähig):  https://katalog.ub.uni-heidelberg.de/titel/68288877   QR-Code
zum Seitenanfang