Strong two-scale convergence and corrector result for a receptor-based model of intercellular communication

• Verfasst von: Marciniak-Czochra, Anna [VerfasserIn]
• Titel: Strong two-scale convergence and corrector result for a receptor-based model of intercellular communication
• Verf.angabe: Anna Marciniak-Czochra
• Umfang: 14 S.
• Fussnoten: Gesehen am 15.08.2017
• Titel Quelle: Enthalten in: Institute of Mathematics and Its Applications: IMA journal of applied mathematics
• Jahr Quelle: 2012
• Band/Heft Quelle: 77(2012), 6, S. 855-868
• ISSN Quelle: 1464-3634
• DOI: doi:10.1093/imamat/hxs052
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1562426222

Abstract

A rigorous derivation of the macroscopic reaction-diffusion models describing the interplay between the nonhomogeneous receptors-ligand binding on cell surfaces and the signalling molecules diffusing in the intercellular space has been carried out by Marciniak-Czochra and Ptashnyk [(2008) SIAM J. Mat. Anal., 40, 215-237] using the method of homogenization. In the present paper, we extend the result to strong two-scale convergence of the model variables using the convergence of the respective energies and establish a corrector result.