Related Experiment Video
Updated: Jul 19, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
Electrostatic stretching of a charged vesicle.
Tai-Hsi Fan1, Olga I Vinogradova
1Department of Mechanical Engineering, University of Connecticut, Storrs, Connecticut 06269-3139, USA. thfan@engr.uconn.edu
We solved the electrostatic potential and membrane deformation of charged micro/nanovesicles. Electrostatic forces balance membrane elasticity, influencing vesicle shape and pore recovery.
Area of Science:
- Physics, Soft Matter
- Physical Chemistry
- Biophysics
Background:
- Micro/nanovesicles are fundamental in biological systems and nanotechnology.
- Understanding their electrostatic interactions and membrane mechanics is crucial for cellular processes and drug delivery.
- Previous models often simplify the complex interplay between charge, elasticity, and vesicle shape.
Purpose of the Study:
- To derive a closed-form solution for the electrostatic potential self-induced by charged micro/nanovesicles.
- To analyze the resulting elastic deformation of the vesicle membrane caused by Maxwell stress.
- To investigate the influence of electrostatic forces on vesicle pre-stress and pore dynamics.
Main Methods:
- Developed differential and integral solutions for the coupled Poisson-Boltzmann system.
- Analyzed the equilibrium between electrostatic forces and membrane elastic forces.
- Formulated analytical results in terms of vesicle size, Debye length, and surface charge density.
- Introduced a dimensionless group to characterize membrane stretching relative to stiffness.
Main Results:
- Obtained a closed-form solution for electrostatic potential and membrane deformation.
- Demonstrated the flexibility of integral solutions for asymmetric configurations.
- Found that self-induced electrostatic interactions lead to a pre-stressed membrane.
- Quantified the role of electric force in assisting vesicle pore recovery.
Conclusions:
- The study provides a comprehensive analytical framework for charged vesicle electrostatics and mechanics.
- Electrostatic forces significantly influence vesicle membrane stress and deformation.
- The findings have implications for understanding vesicle stability, dynamics, and functional responses, particularly in pore formation and recovery.
Related Concept Videos
Fusion of Secretory Vesicles with the Plasma Membrane
In 1993, Jim Rothman proposed that the antiparallel pairing of vesicular and transmembrane SNAREs, or...
Pinching-off of Coated Vesicles
The Electrical Double Layer
Electric Field of a Charged Disk
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
Electric Field of a Non Uniformly Charged Sphere
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
Electrochemical Gradient and Channel Proteins: An Overview
The electrical gradient: The electrical gradient across cell membranes refers to the difference in electric charge between the inside and outside of a cell. This difference drives the movement of ions towards or away from the cells. For instance, if the inside of the cell is more negatively charged relative to the...

