Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains

التفاصيل البيبلوغرافية
العنوان: Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains
المؤلفون: Alphonse, Amal, Caetano, Diogo, Elliott, Charles M., Venkataraman, Chandrasekhar
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs
الوصف: We derive various novel free boundary problems as limits of a coupled bulk-surface reaction-diffusion system modelling ligand-receptor dynamics on evolving domains. These limiting free boundary problems may be formulated as Stefan-type problems on an evolving hypersurface. Our results are new even in the setting where there is no domain evolution. The models are of particular relevance to a number of applications in cell biology. The analysis utilises $L^\infty$-estimates in the manner of De Giorgi iterations and other technical tools, all in an evolving setting. We also report on numerical simulations.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.16522
رقم الأكسشن: edsarx.2407.16522
قاعدة البيانات: arXiv