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The Role of Mechanics in the Study of Lipid Bilayers pp 287–332Cite as

Onsager’s Variational Principle in Soft Matter: Introduction and Application to the Dynamics of Adsorption of Proteins onto Fluid Membranes

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 577))

Abstract

Lipid bilayers are unique soft materials operating in general in the low Reynolds limit. While their shape is predominantly dominated by curvature elasticity as in a solid shell, their in-plane behavior is that of a largely inextensible viscous fluid. Furthermore, lipid membranes are extremely responsive to chemical stimuli. Because in their biological context they are continuously brought out-of-equilibrium mechanically or chemically, it is important to understand their dynamics. Here, we introduce Onsager’s variational principle as a general and transparent modeling tool for lipid bilayer dynamics. We introduce this principle with elementary examples, and then use it to study the sorption of curved proteins on lipid membranes.

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Authors and Affiliations

  1. Universitat Politècnica de Catalunya - BarcelonaTech, Campus Nord, edifici C2 Jordi Girona 1-3, 08034, Barcelona, Spain

    Marino Arroyo, Nikhil Walani, Alejandro Torres-Sánchez & Dimitri Kaurin

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  1. Marino Arroyo
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  2. Nikhil Walani
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Correspondence to Marino Arroyo .

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  1. Faculty of Mechanical Engineering, University of California, Berkeley, Berkeley, California, USA

    David J. Steigmann

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Arroyo, M., Walani, N., Torres-Sánchez, A., Kaurin, D. (2018). Onsager’s Variational Principle in Soft Matter: Introduction and Application to the Dynamics of Adsorption of Proteins onto Fluid Membranes. In: Steigmann, D. (eds) The Role of Mechanics in the Study of Lipid Bilayers. CISM International Centre for Mechanical Sciences, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-56348-0_6

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