Electric field and electric potential due to a finite cylindrical surface charge distribution considering a linearly variable surface charge density

2016 ◽  
Vol 51 (4) ◽  
pp. 471-480
Author(s):  
Guillermo A. Díaz ◽  
Enrique E. Mombello ◽  
Geovanny A. Marulanda
Keyword(s):  
Electric Field ◽  
Charge Density ◽  
Surface Charge ◽  
Charge Distribution ◽  
Electric Potential ◽  
Cylindrical Surface ◽  
Surface Charge Density ◽  
Surface Charge Distribution ◽  
Variable Surface

scholarly journals Mapping Surface Charge Distribution of Single-Cell via Charged Nanoparticle

Cells ◽  
2021 ◽  
Vol 10 (6) ◽  
pp. 1519
Author(s):  
Leixin Ouyang ◽  
Rubia Shaik ◽  
Ruiting Xu ◽  
Ge Zhang ◽  
Jiang Zhe
Keyword(s):  
Cell Surface ◽  
Charge Density ◽  
Surface Charge ◽  
Charge Distribution ◽  
Surface Charge Density ◽  
Single Cells ◽  
Fluorescent Light ◽  
Fluorescent Nanoparticles ◽  
Cell Surface Charge ◽  
Surface Charge Distribution

Many bio-functions of cells can be regulated by their surface charge characteristics. Mapping surface charge density in a single cell’s surface is vital to advance the understanding of cell behaviors. This article demonstrates a method of cell surface charge mapping via electrostatic cell–nanoparticle (NP) interactions. Fluorescent nanoparticles (NPs) were used as the marker to investigate single cells’ surface charge distribution. The nanoparticles with opposite charges were electrostatically bonded to the cell surface; a stack of fluorescence distribution on a cell’s surface at a series of vertical distances was imaged and analyzed. By establishing a relationship between fluorescent light intensity and number of nanoparticles, cells’ surface charge distribution was quantified from the fluorescence distribution. Two types of cells, human umbilical vein endothelial cells (HUVECs) and HeLa cells, were tested. From the measured surface charge density of a group of single cells, the average zeta potentials of the two types of cells were obtained, which are in good agreement with the standard electrophoretic light scattering measurement. This method can be used for rapid surface charge mapping of single particles or cells, and can advance cell-surface-charge characterization applications in many biomedical fields.

scholarly journals Mapping Surface Charge Distribution of Single-Cell via Charged Nanoparticle

2021 ◽  
Author(s):  
Leixin Ouyang ◽  
Rubia Shaik ◽  
Ruiting Xu ◽  
Ge Zhang ◽  
Jiang Zhe
Keyword(s):  
Cell Surface ◽  
Charge Density ◽  
Surface Charge ◽  
Charge Distribution ◽  
Surface Charge Density ◽  
Single Cells ◽  
Cell Behaviors ◽  
Cell Surface Charge ◽  
Surface Charge Distribution ◽  
Fluorescence Light

Abstract Background: Many bio-functions of cells can be regulated by their surface charge characteristics. Mapping surface charge density in a single cell’s surface is vital to advance the understanding of cell behaviors. Results: This article demonstrates a method of cell surface charge mapping via electrostatic cell–nanoparticle interactions. Nanoparticles with fluorescence were used as the marker to investigate single cells’ surface charge distribution. The nanoparticles with opposite charges were electrostatically bonded to the cell surface; a stack of fluorescence distribution on a cell’s surface at a series of vertical distances was imaged and analyzed. By establishing a relationship between fluorescence light intensity and surface charge density, cells’ surface charge distribution was quantified from the fluorescence distribution. Two types of cells, HUVECs and Hela cells, were tested. From the measured surface charge density of a group of single cells, the average zeta potential of the two types of cells was obtained, which is in good agreement with the standard electrophoretic light scattering measurement. Conclusions: This method can be used for rapid surface charge mapping of single particles or cells and can advance cell-surface-charge characterization applications in many biomedical fields.

scholarly journals Direct measurement of surface charge distribution in phase separating supported lipid bilayers

Nanoscale ◽  
2018 ◽  
Vol 10 (9) ◽  
pp. 4538-4544 ◽  
Author(s):  
Thomas Fuhs ◽  
Lasse Hyldgaard Klausen ◽  
Steffan Møller Sønderskov ◽  
Xiaojun Han ◽  
Mingdong Dong
Keyword(s):  
Membrane Proteins ◽  
Cell Membrane ◽  
Charge Density ◽  
Surface Charge ◽  
Charge Distribution ◽  
Lipid Bilayers ◽  
Surface Charge Density ◽  
Supported Lipid Bilayers ◽  
Local Surface ◽  
Surface Charge Distribution

The local surface charge density of the cell membrane influences regulation and localization of membrane proteins.

scholarly journals Analytical Solution for the Electric Field Response Generated by a Nonconducting Ellipsoid (Prolate Spheroid) in a Conducting Fluid Subject to an External Electric Field

2020 ◽  
pp. 383-389
Author(s):  
Andrey B. Yakovlev ◽  
Valeriya S. Federyaeva
Keyword(s):  
Analytical Solution ◽  
Electric Field ◽  
Charge Density ◽  
Surface Charge ◽  
Surface Charge Density ◽  
Prolate Spheroid ◽  
Conducting Fluid ◽  
Cell Modeling ◽  
Surface Charge Distribution ◽  
Field Response

AbstractAn analytical solution is presented for the electric field response generated by a nonconducting ellipsoid (prolate spheroid) in a homogeneous conducting fluid subject to an external primary electric field, including surface charge distribution. Such a solution might be useful for different purposes, including cell modeling subject to an external quasistatic electromagnetic stimulus. The solution utilizes the well-known analogy between the electrostatics of dielectrics and DC conduction. The solution obtained includes an expression for the volumetric fields and an expression for the induced surface charge density at the membrane.

Nanosecond pulsed electric field induced changes in cell surface charge density

Micron ◽  
2017 ◽  
Vol 100 ◽  
pp. 45-49 ◽  
Author(s):  
Diganta Dutta ◽  
Xavier-Lewis Palmer ◽  
Anthony Asmar ◽  
Michael Stacey ◽  
Shizhi Qian
Keyword(s):  
Cell Surface ◽  
Electric Field ◽  
Charge Density ◽  
Surface Charge ◽  
Surface Charge Density ◽  
Pulsed Electric Field ◽  
Cell Surface Charge ◽  
Nanosecond Pulsed Electric Field ◽  
Induced Changes

MULTISCALED ASYMPTOTIC EXPANSIONS FOR THE ELECTRIC POTENTIAL: SURFACE CHARGE DENSITIES AND ELECTRIC FIELDS AT ROUNDED CORNERS

2007 ◽  
Vol 17 (06) ◽  
pp. 845-876 ◽  
Author(s):  
PATRICK CIARLET ◽  
SAMIR KADDOURI
Keyword(s):  
Electric Field ◽  
Charge Density ◽  
Surface Charge ◽  
Electric Fields ◽  
Asymptotic Expansions ◽  
Electric Potential ◽  
Curvature Radius ◽  
Geometrical Shape ◽  
Empirical Formulas ◽  
Electrostatic Problem

We are interested in computing the charge density and the electric field at the rounded tip of an electrode of small curvature. As a model, we focus on solving the electrostatic problem for the electric potential. For this problem, Peek's empirical formulas describe the relation between the electric field at the surface of the electrode and its curvature radius. However, it can be used only for electrodes with either a purely cylindrical, or a purely spherical, geometrical shape. Our aim is to justify rigorously these formulas, and to extend it to more general, two-dimensional, or three-dimensional axisymmetric, geometries. With the help of multiscaled asymptotic expansions, we establish an explicit formula for the electric potential in geometries that coincide with a cone at infinity. We also prove a formula for the surface charge density, which is very simple to compute with the Finite Element Method. In particular, the meshsize can be chosen independently of the curvature radius. We illustrate our mathematical results by numerical experiments.

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