Spherical vesicles distorted by a grafted latex bead: An exact solution

Journal Article · Mon Oct 15 00:00:00 EDT 2007 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.76.041912· OSTI ID:21076246

Benoit, Jerome ^[1]; Saxena, Avadh ^[2]

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1. Graduate Institute of Biophysics and Center for Complex Systems, National Central University, 300 Jhongda Road, Jhongli City, Taoyuan, Taiwan 320, Taiwan (China)
2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

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.

• OSTI ID: 21076246
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 76, Issue 4; Other Information: DOI: 10.1103/PhysRevE.76.041912; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BIOPHYSICS
ELASTICITY
LATEX
NONLINEAR PROBLEMS
TOPOLOGY
VARIATIONAL METHODS