Strong two-scale convergence and corrector result for a receptor-based model of intercellular communication
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. Ma...
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
23 July 2012
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| In: |
IMA journal of applied mathematics
Year: 2012, Volume: 77, Issue: 6, Pages: 855-868 |
| ISSN: | 1464-3634 |
| DOI: | 10.1093/imamat/hxs052 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1093/imamat/hxs052 Verlag, Volltext: https://academic.oup.com/imamat/article/77/6/855/789764/Strong-two-scale-convergence-and-corrector-result 
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| Author Notes: | Anna Marciniak-Czochra |
| Summary: | 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. |
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| Item Description: | Gesehen am 15.08.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1464-3634 |
| DOI: | 10.1093/imamat/hxs052 |