2004/04/30 by Jerome Benoit, J Benoit, Avadh Saxena · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Cellular Mechanics and Interactions #Force Microscopy Techniques and Applications #Lipid Membrane Structure and Behavior #cond-mat.soft #nlin.SI
paper · pdf · doi:10.1103/physreve.76.041912
published as Phys. Rev. E 76 (2007) 041912 · 12 pages, 2 figures, LaTeX2e+REVTeX+AmSLaTeX
arxiv created 2007/10/22 · openalex publication_date 2007/10/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.