Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911964976906240 |
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| author | Alphonse, Amal Caetano, Diogo Elliott, Charles M. Venkataraman, Chandrasekhar |
| author_facet | Alphonse, Amal Caetano, Diogo Elliott, Charles M. Venkataraman, Chandrasekhar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16522 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains Alphonse, Amal Caetano, Diogo Elliott, Charles M. Venkataraman, Chandrasekhar Analysis of PDEs 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. |
| title | Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.16522 |