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Characterizing Single-Molecule Conformational Changes Under Shear Flow with Fluorescence Microscopy

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Vesicle dynamics under weak flows: application to large excess area.

Alexander Farutin¹, Othmane Aouane, Chaouqi Misbah

¹Université Grenoble I/CNRS, Laboratoire Interdisciplinaire de Physique/UMR5588, Grenoble F-38041, France.

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

|September 26, 2012

Summary

This summary is machine-generated.

This study analyzes vesicle dynamics in shear flow using a perturbative approach. We derived an analytical expression for the tank-treading to tumbling transition, valid for highly deflated vesicles.

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Area of Science:

Biophysics
Fluid Dynamics
Computational Biology

Background:

Vesicle behavior in fluid flow is crucial for understanding biological processes.
Previous models often simplify vesicle mechanics or flow conditions.

Purpose of the Study:

To analytically model vesicle dynamics under simple shear flow at low capillary numbers.
To determine the tank-treading to tumbling bifurcation point for deflated vesicles.

Main Methods:

A perturbative approach was employed to derive vesicle dynamics equations.
Analytical expressions were developed for the bifurcation point.
Results were validated against 3D numerical simulations.

Main Results:

The perturbative expansions show convergence for vesicles with high excess area (up to 2).
An explicit analytical expression for the tank-treading to tumbling bifurcation is provided, valid for excess areas up to 2.5.
The analytical model aligns well with full 3D numerical simulations.

Conclusions:

The perturbative method accurately captures vesicle dynamics in weak shear flow.
This approach offers a versatile tool for analyzing vesicle behavior under various flow conditions.
The derived bifurcation expression is applicable to significantly deflated vesicles.