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Related Experiment Video

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Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy

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Published on: October 24, 2017

Dynamic modes of quasispherical vesicles: exact analytical solutions.

M Guedda¹, M Abaidi, M Benlahsen

¹Université de Picardie Jules Verne, LAMFA CNRS UMR 7352, Amiens F-80039, France. guedda@u-picardie.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 11, 2012

Summary

This study analyzes vesicle dynamics in shear flow, identifying vacillating-breathing (VB) and tank-treading/tumbling (TB) modes. Findings confirm coexistence and dependence on initial conditions, offering a new control parameter for mode prediction.

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Area of Science:

Biophysics
Fluid Dynamics
Mathematical Modeling

Background:

Vesicle dynamics in shear flow exhibit complex behaviors.
Previous research identified vacillating-breathing (VB) and tank-treading/tumbling (TB) regimes.
Understanding these dynamics is crucial for various biological and material science applications.

Purpose of the Study:

To provide a simple mathematical analysis of vesicle dynamics in the quasispherical limit.
To analytically derive expressions for vesicle inclination angle and shape deformation.
To identify and characterize the VB and TB modes and their transitions.

Main Methods:

Mathematical analysis of vesicle dynamics under shear flow.
Focus on the quasispherical limit (small deformation).
Derivation of explicit analytical expressions for key dynamic parameters.

Main Results:

Explicit analytical expressions for vesicle inclination angle and shape deformation were obtained.
The vacillating-breathing (VB) regime was clearly identified.
Coexistence of VB and tank-treading/tumbling (TB) modes was confirmed, dependent on initial conditions.

Conclusions:

The study successfully identifies and analyzes VB and TB modes in vesicle dynamics.
A control parameter (Γ) was proposed to predict the prevalence of VB and TB modes.
Findings align with and extend previous theoretical and experimental observations.