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Updated: Aug 20, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Analytical expressions for the electrical potential near planar, cylindrical, and spherical surfaces for symmetric
Sung-Hwa Lin1, Jyh-Ping Hsu, Shiojenn Tseng
1Department of Chemical and Materials Engineering, National Ilan University, Ilan 26041, Taiwan. shlin@niu.edu.tw
Abstract:
The conjecture of Tuinier (J. Colloid Interface Sci. 258 (2003) 45) for the electrical potentials near a cylindrical surface and near a spherical surface under the conditions of symmetric electrolyte and large scaled radius are derived by solving the corresponding Poisson-Boltzmann equation. The surface charge density-surface potential relations for these surfaces are also derived under the conditions of constant surface potential. We show that the level of surface charge density for planar, cylindrical, and spherical surfaces follows the order spherical surface > cylindrical surface > planar surface.
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