On the variational theory of cell-membrane equilibria. (English) Zbl 1057.35077
Authors’ abstract: 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 membran deformation. We thus address a potential controversy in the mathematical modeling of an important problem in biophysics.
Reviewer: Michael Bildhauer (Saarbrücken)
MSC:
35Q80 | Applications of PDE in areas other than physics (MSC2000) |
92C37 | Cell biology |