TY - JOUR

T1 - Thermal undulations of quasi-spherical vesicles stabilized by gravity

AU - Henriksen, Jonas Rosager

AU - Ipsen, John Hjorth

PY - 2002

Y1 - 2002

N2 - The classical treatment of quasi-spherical vesicle undulations has, in the present work, been reviewed and extended to systems, which are affected by a gravitational field caused by a density difference across the membrane. The effects have been studied by the use of perturbation theory leading to corrections to the mean shape and the fluctuation correlation matrix. These corrections have been included in an analytical expression for the flicker spectrum to probe how the experimentally accessible spectrum changes with gravity. The results are represented in terms of the gravitational parameter, g(0) = DeltapgR(4)/k. The contributions from gravity are in most experimental situations small and thus negligible, but for values of go above a certain limit, the perturbational corrections must be included. Expressions for the relative error on the flicker spectrum have been worked out, so that it is possible to define the regime where gravity is negligible. An upper limit of go has also been identified, where the error in all modes of the flicker spectrum is significant due to distortion of the mean shape.

AB - The classical treatment of quasi-spherical vesicle undulations has, in the present work, been reviewed and extended to systems, which are affected by a gravitational field caused by a density difference across the membrane. The effects have been studied by the use of perturbation theory leading to corrections to the mean shape and the fluctuation correlation matrix. These corrections have been included in an analytical expression for the flicker spectrum to probe how the experimentally accessible spectrum changes with gravity. The results are represented in terms of the gravitational parameter, g(0) = DeltapgR(4)/k. The contributions from gravity are in most experimental situations small and thus negligible, but for values of go above a certain limit, the perturbational corrections must be included. Expressions for the relative error on the flicker spectrum have been worked out, so that it is possible to define the regime where gravity is negligible. An upper limit of go has also been identified, where the error in all modes of the flicker spectrum is significant due to distortion of the mean shape.

M3 - Journal article

VL - 9

SP - 365

EP - 374

JO - The European Physical Journal E: Soft Matter and Biological Physics

JF - The European Physical Journal E: Soft Matter and Biological Physics

SN - 1292-8941

IS - 4

ER -