Onsager’s variational principle in soft matter : introduction and application to the dynamics of adsorption of proteins onto fluid membranes
This book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include un...
| Autores: | , , , |
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| Formato: | capítulo de livro |
| Fecha de publicación: | 2018 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/116705 |
| Acesso em linha: | https://hdl.handle.net/2117/116705 https://dx.doi.org/10.1007/978-3-319-56348-0 |
| Access Level: | acceso abierto |
| Palavra-chave: | Automatic control Operations research Free energy Area fraction Solute molecule Semipermeable membrane Control automàtic Investigació operativa Classificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització |
| Resumo: | This book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include unique and authoritative treatments of differential geometry, shape elasticity, surface flow and diffusion, interleaf membrane friction, phase transitions, electroelasticity and flexoelectricity, and computational modelling. [Chapter] 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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