In this work, the effect of extra-cellular conductivity on electroporation-mediated molecular delivery efficiency is investigated. A numerical model combining the Smoluchowski equation for membrane permeabilization and the Nernst-Planck equations for ion transport is used to simulate the evolution of ion concentration spatially and temporally. The results are compared with and used to interpret...

The bulk and interfacial transport properties of PANI free-standing membranes have been investigated in acidic media with chloride as common counter-ion and with di€erent co-ions, using the a.c. impedance technique with a four-electrode cell. The experimental data were compared to a recently proposed theoretical expression, based on use of the Nernst±Planck equation for mass transport and on sl...

We report here new electrical laws, derived from nonlinear electro-diffusion theory, about the effect of the local geometrical structure, such as curvature, on the electrical properties of a cell. We adopt the Poisson-Nernst-Planck (PNP) equations for charge concentration and electric potential as a model of electro-diffusion. In the case at hand, the entire boundary is impermeable to ions and ...

Presence of wall at the vicinity of a moving particle through a flowing or stationary fluid hindered the motion of the particle by implying more drag on it. Presence of charge on the particle alone or on both the wall and particle hinders the motion more due to electrokinetic effect like relaxation and EDL overlap. Presence of charged surface heterogeneity make the scenario worse. A 3D finite e...

Conformal mapping has been applied mostly to harmonic functions, i.e. solutions of Laplace’s equation. In this paper, it is noted that some other equations are also conformally invariant and thus equally well suited for conformal mapping in two dimensions. In physics, these include steady states of various nonlinear diffusion equations, the advection–diffusion equations for potential flows, and...

A supersymmetric method for the construction of so-called conditionally exactly solvable quantum systems is reviewed and extended to classical stochastic dynamical systems characterized by a Fokker-Planck equation with drift. A class of drift-potentials on the real line as well as on the half line is constructed for which the associated Fokker-Planck equation can be solved exactly. Explicit dri...

In this paper the Schrödinger equation (SE) with gravity term is developed and discussed. It is shown that the modified SE is valid for particles with mass m < MP , MP is the Planck mass, and contains the part which, we argue, describes the pilot wave. For m → MP the modified SE has the solution with oscillatory term, i.e. strings.

Abstract In this paper the response of ionic systems subjected to a spatially varying electric field is studied. Following the Nernst-Planck equation, two forces driving the mass flux are present, namely, the concentration gradient and the electric potential gradient. The mass flux due to the concentration gradient is modelled through Fick’s law, and a new constitutive relation for the mass flu...

A composite continuum theory for calculating ion current through a protein channel of known structure is proposed, which incorporates information about the channel dynamics. The approach is utilized to predict current through the Gramicidin A ion channel, a narrow pore in which the applicability of conventional continuum theories is questionable. The proposed approach utilizes a modified versio...