On the variational theory of cell-membrane equilibria | Zendy

David J. Steigmann | Zendy; Eveline Baesu | Zendy; Robert E. Rudd | Zendy; J. Belak | Zendy; Mike McElfresh | Zendy

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On the variational theory of cell-membrane equilibria

Author(s) -

David J. Steigmann,

Eveline Baesu,

Robert E. Rudd,

J. Belak,

Mike McElfresh

Publication year - 2003

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/83

Subject(s) - equivalence (formal languages) , dilation (metric space) , membrane , constraint (computer aided design) , surface (topology) , mathematics , classical mechanics , physics , geometry , chemistry , pure mathematics , biochemistry

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.

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