1998
DOI: 10.1021/la980701y
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Gaussian Curvature Modulus of an Amphiphilic Monolayer

Abstract: In this paper the Helfrich ansatz for bending an amphiphilic monolayer is re-expressed in terms of the deviations in curvature away from a preferred value. Using this expression and a simple model of the response of amphiphiles to interfacial bending, it is demonstrated that there are strict limits to the value of the ratio of the Gaussian curvature modulus to the mean curvature modulus (κG/κ). We have made an estimate of κG/κ from measurements of the swelling behavior in water of inverse bicontinuous cubic me… Show more

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Cited by 121 publications
(118 citation statements)
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“…Also included in Table 6 are data for the Q II 230/G gyroid cubic phase of a monooleoylglycerol/dioleoyl phosphatidylcholine/dioleoyl phosphatidylethanolamine 58:38:4 mol/mol/mol ternary mixture (Templer et al, 1998a). The mean pivotal area and volume, per two chains, are close to the weighted average of these values for the individual components, as demonstrated directly by Templer et al (1998a).…”
Section: Lipid Mixturesmentioning
confidence: 65%
“…Also included in Table 6 are data for the Q II 230/G gyroid cubic phase of a monooleoylglycerol/dioleoyl phosphatidylcholine/dioleoyl phosphatidylethanolamine 58:38:4 mol/mol/mol ternary mixture (Templer et al, 1998a). The mean pivotal area and volume, per two chains, are close to the weighted average of these values for the individual components, as demonstrated directly by Templer et al (1998a).…”
Section: Lipid Mixturesmentioning
confidence: 65%
“…This indicates that a single vesicle is stable for −2 < κ G /κ < 0. [30] For monolayers, the stronger stability criterion −1 < κ G /κ < 0 has been proposed in [31].…”
Section: Materials Parametersmentioning
confidence: 99%
“…For the type II lipid amphiphile, dioleoylphosphatidylethanolamine (DOPE), we calculate that the total stored curvature elastic energy for each DOPE molecule in a flat monolayer is approximately 1 k B T (23,25,26). Qualitatively, we can see that the partial submersion of the amphipathic ␣-helical binding domain of CCT into an amphiphilic monolayer allows the release of at least some of this stored curvature elastic energy for type II amphiphiles (Fig.…”
mentioning
confidence: 99%