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...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
27 January 2023
|
| In: |
Calculus of variations and partial differential equations
Year: 2023, Jahrgang: 62, Heft: 3, Pages: 1-18 |
| ISSN: | 1432-0835 |
| DOI: | 10.1007/s00526-022-02413-2 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00526-022-02413-2
|
| Verfasserangaben: | Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 184014212X | ||
| 003 | DE-627 | ||
| 005 | 20240115133351.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 230327s2023 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00526-022-02413-2 |2 doi | |
| 035 | |a (DE-627)184014212X | ||
| 035 | |a (DE-599)KXP184014212X | ||
| 035 | |a (OCoLC)1389531196 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Brazke, Denis |d 1994- |e VerfasserIn |0 (DE-588)1236043944 |0 (DE-627)1761290487 |4 aut | |
| 245 | 1 | 0 | |a Γ-limit for a sharp interface model related to pattern formation on biomembranes |c Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra |
| 246 | 3 | 3 | |a Gamma-limit for a sharp interface model related to pattern formation on biomembranes |
| 264 | 1 | |c 27 January 2023 | |
| 300 | |a 18 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 27.03.2023 | ||
| 520 | |a 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. | ||
| 650 | 4 | |a 49Q20 | |
| 650 | 4 | |a 74K15 | |
| 650 | 4 | |a 92C37 | |
| 650 | 4 | |a Primary 49J45 | |
| 650 | 4 | |a Secondary 28A75 | |
| 700 | 1 | |a Knüpfer, Hans |d 1977- |e VerfasserIn |0 (DE-588)133883469 |0 (DE-627)557870542 |0 (DE-576)300169663 |4 aut | |
| 700 | 1 | |a Marciniak-Czochra, Anna |d 1974- |e VerfasserIn |0 (DE-588)1044379626 |0 (DE-627)771928432 |0 (DE-576)397031505 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Calculus of variations and partial differential equations |d Berlin : Springer, 1993 |g 62(2023), 3, Artikel-ID 94, Seite 1-18 |h Online-Ressource |w (DE-627)265508274 |w (DE-600)1464202-5 |w (DE-576)074889710 |x 1432-0835 |7 nnas |a Γ-limit for a sharp interface model related to pattern formation on biomembranes |
| 773 | 1 | 8 | |g volume:62 |g year:2023 |g number:3 |g elocationid:94 |g pages:1-18 |g extent:18 |a Γ-limit for a sharp interface model related to pattern formation on biomembranes |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00526-022-02413-2 |x Verlag |x Resolving-System |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20230327 | ||
| 993 | |a Article | ||
| 994 | |a 2023 | ||
| 998 | |g 1044379626 |a Marciniak-Czochra, Anna |m 1044379626:Marciniak-Czochra, Anna |d 110000 |d 110200 |d 110000 |d 110400 |e 110000PM1044379626 |e 110200PM1044379626 |e 110000PM1044379626 |e 110400PM1044379626 |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |p 3 |y j | ||
| 998 | |g 133883469 |a Knüpfer, Hans |m 133883469:Knüpfer, Hans |d 110000 |d 110200 |d 110000 |d 110400 |e 110000PK133883469 |e 110200PK133883469 |e 110000PK133883469 |e 110400PK133883469 |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |p 2 | ||
| 998 | |g 1236043944 |a Brazke, Denis |m 1236043944:Brazke, Denis |d 700000 |d 728500 |e 700000PB1236043944 |e 728500PB1236043944 |k 0/700000/ |k 1/700000/728500/ |p 1 |x j | ||
| 999 | |a KXP-PPN184014212X |e 4297440466 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"person":[{"given":"Denis","role":"aut","family":"Brazke","display":"Brazke, Denis"},{"given":"Hans","role":"aut","family":"Knüpfer","display":"Knüpfer, Hans"},{"role":"aut","given":"Anna","family":"Marciniak-Czochra","display":"Marciniak-Czochra, Anna"}],"titleAlt":[{"title":"Gamma-limit for a sharp interface model related to pattern formation on biomembranes"}],"note":["Gesehen am 27.03.2023"],"origin":[{"dateIssuedDisp":"27 January 2023","dateIssuedKey":"2023"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"title":[{"title_sort":"Γ-limit for a sharp interface model related to pattern formation on biomembranes","title":"Γ-limit for a sharp interface model related to pattern formation on biomembranes"}],"language":["eng"],"physDesc":[{"extent":"18 S."}],"name":{"displayForm":["Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra"]},"recId":"184014212X","id":{"eki":["184014212X"],"doi":["10.1007/s00526-022-02413-2"]},"relHost":[{"disp":"Γ-limit for a sharp interface model related to pattern formation on biomembranesCalculus of variations and partial differential equations","part":{"issue":"3","extent":"18","volume":"62","year":"2023","pages":"1-18","text":"62(2023), 3, Artikel-ID 94, Seite 1-18"},"title":[{"title":"Calculus of variations and partial differential equations","title_sort":"Calculus of variations and partial differential equations"}],"note":["Gesehen am 01.11.05"],"origin":[{"dateIssuedDisp":"1993-","publisherPlace":"Berlin ; Heidelberg","publisher":"Springer","dateIssuedKey":"1993"}],"titleAlt":[{"title":"Calculus of variations"}],"type":{"bibl":"periodical","media":"Online-Ressource"},"language":["eng"],"physDesc":[{"extent":"Online-Ressource"}],"recId":"265508274","pubHistory":["1.1993 -"],"id":{"zdb":["1464202-5"],"eki":["265508274"],"issn":["1432-0835"]}}]} | ||
| SRT | |a BRAZKEDENILIMITFORAS2720 | ||