Bending elastic modulus

In this equation, 8 is the dielectric anisotropy, K - (K +K j)/ is an average splay-bend elastic modulus, and E is the applied electric field. In this presentation, the curve must be linear when the Rapini approximation for the... 

Evans, E.A. 1983. Bending elastic modulus of red blood cell membrane derived from buckling instability in micropipet aspiration tests. Biophys. J. 43 27-30. 

Experimentally, the bending elastic modulus K as measured by ellipsometry is indeed found to be on the order of (0.1-1)A 7 for quite a wide range of microemulsion systems see, e.g.. Ref. 45 for a system with a single-chain ionic surfactant plus cosurfactant. Ref. 46 for a system with a double-chain ionic surfactant in which the chain length of the oil (linear alkane) is varied, and Ref 47 for a system with a nonionic surfactant in which the chain length of the surfactant is varied. 

As far as we are aware, the only system for which the volume fraction of the droplets, the average radius (R32), and the tension of the macroscopic oil/water interface have been measured is aWinsor II system composed of SDS, pentanol, cyclohexane, and 0.2 M NaCl with equal volumes of water and oil phases. This system was studied in Ref 55. The bending elastic modulus of this system was measured by ellipsometry [50], The results of Sec. V imply that when / and z are fixed, there are still two unknown parameters the Gaussian bending elastic modulus and the preferred curvature. Therefore, we choose to test the theory on consistency, that is, we fix z and / and fit the (R32, 4>) with Eqs. (55)-(58)—we choose... 

Here e = ei = es is the average fiexoelectric coefficient and K = Ku = Ks3 is the average splay-bend elastic modulus. 

Equation 4.110 is especially convenient for numerical integration, whereas Equation 4.109 may create numerical problems at the points with tan q> = oo, like the particle equator in Figure 4.11a. A generalized form of Equation 4.109, with account for the interfacial (membrane) bending elastic modulus, k. ... 

The bending elastic modulus at free flip-flop, Kc C,N), depends on the elastic moduli and of the lipid bilayer without modified lipid and on the thickness djh of the hydrophobic core of the monolayer of the flat tension-free bilayer without modified lipid ... 

To describe undulation forces, we first need to introduce the so-called bending elastic modulus of a membrane k, also called bending rigidity. The free energy of bending is to first order given by [1268, 1269]... 

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