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On the equations of
equilibrium for asymmetric tilted lipid bilayers
Brett Hendrickson, Milad Shirani and David J. Steigmann
Vol. 9 (2021), No. 2, 153–166
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Abstract |
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Several competing two-dimensional models of the mechanical response of tilted lipid bilayers have been proposed in the biophysics literature. Following an idea due to Helfrich, in the present work we seek to settle this subject by deriving a two-dimensional model via asymptotic analysis of three-dimensional liquid-crystal theory in which lipid length plays the role of the small parameter. Our model emerges as an example of Cosserat shell theory featuring independent sets of director fields for each of the two leaves constituting the bilayer. |
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Keywords
lipid tilt, asymmetric bilayers
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Mathematical Subject Classification
Primary: 53B50
Secondary: 74K25
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Milestones
Received: 9 January 2021
Accepted: 11 March 2021
Published: 17 April 2021
Communicated by Francesco dell'Isola
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Authors |
| Brett Hendrickson | |
| Department of Mechanical
Engineering University of California, Berkeley Berkeley, CA United States |
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| Milad Shirani | |
| Department of Mechanical
Engineering University of California, Berkeley Berkeley, CA United States |
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| David J. Steigmann | |
| Department of Mechanical
Engineering University of California, Berkeley Berkeley, CA United States |
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