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Spherical Vesicles Distorted by a Grafted Latex Bead: An Exact Solution

Jerome Benoit·Avadh Saxena
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Abstract

We present an exact solution to the problem of the global shape description of a spherical vesicle distorted by a grafted latex bead. This solution is derived by treating the nonlinearity in bending elasticity through the (topological) Bogomol'nyi decomposition technique and elastic compatibility. We recover the ``hat-model'' approximation in the limit of a small latex bead and find that the region antipodal to the grafted latex bead flattens. We also derive the appropriate shape equation using the variational principle and relevant constraints.

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Jerome Benoit, Avadh Saxena. 2007-10-22. Spherical Vesicles Distorted by a Grafted Latex Bead: An Exact Solution. https://doi.org/10.1103/physreve.76.041912

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