25 research outputs found
A singular perturbation approach to the steady-state 1D Poisson-Nernst-Planck modeling
The reduced 1D Poisson-Nernst-Planck (PNP) model of artificial nanopores in
the presence of a permanent charge on the channel wall is studied. More
specifically, we consider the limit where the channel length exceed much the
Debye screening length and channel's charge is sufficiently small. Ion
transport is described by the nonequillibrium steady-state solution of the PNP
system within a singular perturbation treatment. The quantities, 1/lambda --
the ratio of the Debye length to a characteristic length scale and epsilon --
the scaled intrinsic charge density, serve as the singular and the regular
perturbation parameters, respectively. The role of the boundary conditions is
discussed. A comparison between numerics and the analytical results of the
singular perturbation theory is presented.Comment: 27 pages, 8 figures, conference: Marian Smoluchowski Symposium on
Statistical Physics Zakopane, Poland, September 22-29, 200
How the asymmetry of internal potential influences the shape of I-V characteristic of nanochannels
Ion transport in biological and synthetic nanochannels is characterized by
such phenomena as ion current fluctuations, rectification, and pumping.
Recently, it has been shown that the nanofabricated synthetic pores could be
considered as analogous to biological channels with respect to their transport
characteristics \cite{Apel, Siwy}. The ion current rectification is analyzed.
Ion transport through cylindrical nanopores is described by the Smoluchowski
equation. The model is considering the symmetric nanopore with asymmetric
charge distribution. In this model, the current rectification in asymmetrically
charged nanochannels shows a diode-like shape of characteristic. It is
shown that this feature may be induced by the coupling between the degree of
asymmetry and the depth of internal electric potential well. The role of
concentration gradient is discussed
Rectification in synthetic conical nanopores: a one-dimensional Poisson-Nernst-Planck modeling
Ion transport in biological and synthetic nanochannels is characterized by
phenomena such as ion current fluctuations and rectification. Recently, it has
been demonstrated that nanofabricated synthetic pores can mimic transport
properties of biological ion channels [P. Yu. Apel, {\it et al.}, Nucl. Instr.
Meth. B {\bf 184}, 337 (2001); Z. Siwy, {\it et al.}, Europhys. Lett. {\bf 60},
349 (2002)]. Here, the ion current rectification is studied within a reduced 1D
Poisson-Nernst-Planck (PNP) model of synthetic nanopores. A conical channel of
a few to a few hundred of nm in diameter, and of few m long
is considered in the limit where the channel length considerably exceeds the
Debye screening length. The rigid channel wall is assumed to be weakly charged.
A one-dimensional reduction of the three-dimensional problem in terms of
corresponding entropic effects is put forward. The ion transport is described
by the non-equilibrium steady-state solution of the 1D Poisson-Nernst-Planck
system within a singular perturbation treatment. An analytic formula for the
approximate rectification current in the lowest order perturbation theory is
derived. A detailed comparison between numerical results and the singular
perturbation theory is presented. The crucial importance of the asymmetry in
the potential jumps at the pore ends on the rectification effect is
demonstrated. This so constructed 1D theory is shown to describe well the
experimental data in the regime of small-to-moderate electric currents.Comment: 27 pages, 7 figure
Hyaluronic acid and phospholipid interactions useful for repaired articular cartilage surfaces—a mini review toward tribological surgical adjuvants
Nutlin-3a, an MDM2 antagonist and p53 activator, helps to preserve the replicative potential of cancer cells treated with a genotoxic dose of resveratrol
Brownian dynamics simulations of flicker noise in nanochannels currents
We simulated the single-file motion of ions through a model
channel with the gate which opens and closes under influence of white noise and of interactions with ions present inside the
channel. There is a range of the model parameters, in which the power spectrum of the ion net current through the channel
has the characteristics of the flicker noise. The flicker noise is accompanied by the long-tail dwell-time distributions.
The stochastic analysis of the calculated currents reveals their self-similarity. The open-state currents scale with the scaling exponent
β=-1.0±0.15. To our best knowledge, our results are the first
derivation of noise directly from Langevin equations with simple electrostatic
interactions and white noise