Strong two-scale convergence and corrector result for a receptor-based model of intercellular communication
Anna Marciniak‐Czochra · IMA Journal of Applied Mathematics · 2012
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.