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Equilibrium theory
for a lipid bilayer with a conforming cytoskeletal
membrane
Brett Hendrickson, Milad Shirani and David J. Steigmann
Vol. 8 (2020), No. 1, 69–99
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Abstract |
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We discuss the mechanics of a lipid bilayer with a conforming cytoskeletal membrane in which the bilayer has the structure of a nematic liquid crystal and the cytoskeleton that of a simple elastic solid. Under certain conditions the cytoskeletal membrane mimics the effects of the so-called spontaneous curvature of the conventional theory of lipid membranes. The model is used to predict the classical biconcave discoid shape of red-blood cells in equilibrium. |
Keywords
lipid bilayers, membrane cytoskeleton, differential
geometry.
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Mathematical Subject Classification 2010
Primary: 53B50, 74K25
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Milestones
Received: 24 October 2019
Revised: 27 February 2020
Accepted: 4 April 2020
Published: 11 May 2020
Communicated by Francesco dell'Isola
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Authors |
| Brett Hendrickson | |
| Department of Mechanical
Engineering University of California, Berkeley 6112 Etcheverry Hall Berkeley, CA 94720-1740 United States |
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| Milad Shirani | |
| Department of Mechanical
Engineering University of California, Berkeley 6112 Etcheverry Hall Berkeley, CA 94720-1740 United States |
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| David J. Steigmann | |
| Department of Mechanical
Engineering University of California, Berkeley 6133 Etcheverry Hall MSPBSTART1-10-7-27-MSPESTART<p class = "indent">We discuss the mechanics of a lipid bilayer with a conforming cytoskeletal membrane in which the bilayer has the structure of a nematic liquid crystal and the cytoskeleton that of a simple elastic solid. Under certain conditions the cytoskeletal membrane mimics the effects of the so-called spontaneous curvature of the conventional theory of lipid membranes. The model is used to predict the classical biconcave discoid shape of red-blood cells in equilibrium.</p> Berkeley, CA 94720-1740 United States |
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