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math.AP2026
A nonlocal transport problem describing pore growth
Barbara Niethammer, Lorena Pohl, Juan J. L. Velázquez
We study a nonlocal transport problem describing pore growth in a biological membrane exposed to a periodic electric potential, where the growth term is modified through the first…
math.AP2026
Long-time behaviour of a nonlocal model for electroporation
Barbara Niethammer, Lorena Pohl, Juan J. L. Velázquez
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…