Geodesic
On the variational theory of cell-membrane equilibria
David Steigmann1 ; Eveline Baesu2 ; Robert E. Rudd3 ; Jim Belak3 ; Mike McElfresh3
1University of California, Berkeley, United States
2University of Nebraska-Lincoln, United States
3Lawrence Livermore National Laboratory, United States
Interfaces and free boundaries, Tome 5 (2003) no. 4, pp. 357-366

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DOI

The equivalence of two approaches to the variational theory of cell-membrane equilibria which have been proposed in the literature is demonstrated. Both assume a constraint on surface area, global in one formulation and local in the alternative, in accordance with measurements which reveal negligible surface dilation in the presence of membrane deformation. We thus address a potential controversy in the mathematical modeling of an important problem in biophysics.
DOI : 10.4171/ifb/83
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Cell-membrane equilibria; shape equation; stability

David Steigmann  1   ; Eveline Baesu  2   ; Robert E. Rudd  3   ; Jim Belak  3   ; Mike McElfresh  3

1 University of California, Berkeley, United States
2 University of Nebraska-Lincoln, United States
3 Lawrence Livermore National Laboratory, United States 
David Steigmann; Eveline Baesu; Robert E. Rudd; Jim Belak; Mike McElfresh. On the variational theory of cell-membrane equilibria. Interfaces and free boundaries, Tome 5 (2003) no. 4, pp. 357-366. doi: 10.4171/ifb/83
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     pages = {357--366},
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     doi = {10.4171/ifb/83},
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