On the variational theory of cell-membrane equilibria
On the variational theory of cell-membrane equilibria
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DOI：
10.4171/ifb/83
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发表时间：
2003-12-01
影响因子：
1
通讯作者：
McElfresh, M
中科院分区：
文献类型：
--
作者：
Steigmann, D;Baesu, E;McElfresh, M
两种方法的等效性的变分理论的细胞膜平衡已在文献中提出的证明。两者都假设一个约束的表面积，全球在一个配方和本地的替代品，根据测量，揭示了可忽略不计的表面扩张膜变形的存在下。因此，我们解决一个潜在的争议，在生物物理学的一个重要问题的数学建模。
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.