Long-time behaviour of a nonlocal model for electroporation
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917407312838656 |
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| author | Niethammer, Barbara Pohl, Lorena Velázquez, Juan J. L. |
| author_facet | Niethammer, Barbara Pohl, Lorena Velázquez, Juan J. L. |
| contents | In this paper we analyze a model for electroporation, a biological process in which a cell membrane exposed to an external voltage becomes permeable due to the formation and growth of nanoscale membrane pores. We prove a local stability result for asymptotic self-similar solutions with a power-law tail. Our method relies on the analysis of an equation for the first moment as well as comparison of solutions of the full problem to solutions of a corresponding transport problem. In particular this shows that the transport term drives the long-time behaviour. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12790 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Long-time behaviour of a nonlocal model for electroporation Niethammer, Barbara Pohl, Lorena Velázquez, Juan J. L. Analysis of PDEs 35B40, 35Q92, 35K22 In this paper we analyze a model for electroporation, a biological process in which a cell membrane exposed to an external voltage becomes permeable due to the formation and growth of nanoscale membrane pores. We prove a local stability result for asymptotic self-similar solutions with a power-law tail. Our method relies on the analysis of an equation for the first moment as well as comparison of solutions of the full problem to solutions of a corresponding transport problem. In particular this shows that the transport term drives the long-time behaviour. |
| title | Long-time behaviour of a nonlocal model for electroporation |
| topic | Analysis of PDEs 35B40, 35Q92, 35K22 |
| url | https://arxiv.org/abs/2604.12790 |