Γ-limit for a sharp interface model related to pattern formation on biomembranes
We derive a macroscopic limit for a sharp interface version of a model proposed in Komura et al. (Langmuir 22:6771-6774, 2006) to investigate pattern formation due to competition of chemical and mechanical forces in biomembranes. We identify sub- and supercritical parameter regimes and show with the...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
27 January 2023
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| In: |
Calculus of variations and partial differential equations
Year: 2023, Volume: 62, Issue: 3, Pages: 1-18 |
| ISSN: | 1432-0835 |
| DOI: | 10.1007/s00526-022-02413-2 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00526-022-02413-2
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| Author Notes: | Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra |
| Summary: | We derive a macroscopic limit for a sharp interface version of a model proposed in Komura et al. (Langmuir 22:6771-6774, 2006) to investigate pattern formation due to competition of chemical and mechanical forces in biomembranes. We identify sub- and supercritical parameter regimes and show with the introduction of the autocorrelation function that the ground state energy leads to the isoperimetric problem in the subcritical regime, which is interpreted to not form fine scale patterns. |
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| Item Description: | Gesehen am 27.03.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0835 |
| DOI: | 10.1007/s00526-022-02413-2 |