the effects of intra-membrane viscosity on lipid membrane morphology: complete analytical solution
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ID: 164625
2018
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Abstract
Abstract We present a linear theory of lipid membranes which accommodates the effects of intra-membrane viscosity into the model of deformations. Within the Monge parameterization, a linearized version of the shape equation describing membrane morphology is derived. Admissible boundary conditions are taken from the existing non-linear model but reformulated and adopted to the present framework. We obtain a complete analytical expression illustrating the deformations of lipid membrane subjected to the influences of intra-membrane viscosity. The result predicts wrinkle phenomena in the event of membrane-substrate interactions. Finally, we mention that the obtained solutions reduce to those from the classical shape equation when the viscosity effects are removed.
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zeidi2018scientificthe
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| Authors | ;Mahdi Zeidi;Chun Il Kim |
| Journal | historia de la educación |
| Year | 2018 |
| DOI |
10.1038/s41598-018-31251-6
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