Laser interferometric investigation of solute transport through membrane-concentration boundary layer system.

We investigate diffusive transport in a membrane system with a horizontally mounted membrane under concentration polarization conditions performed by a laser interferometry method. The data obtained from two different theoretical models are compared to the experimental results of the substance flux. In the first model, the membrane is considered as infinitely thin, while in the second one as a wall of finite thickness. The theoretical calculations show sufficient correspondence with the experimental results. On the basis of interferometric measurements, the relative permeability coefficient (ζ(s)) for the system, consisting of the membrane and concentration boundary layers, was also obtained. This coefficient reflects the concentration polarization of the membrane system. The obtained results indicate that the coefficient ζ(s) of the membrane-concentration boundary layer system decreases in time and seems to be independent of the initial concentration of the solute.

Laser interferometric analysis of glucose and sucrose diffusion in agarose gel.

The paper presents the investigation results of glucose and sucrose diffusion in agarose gel studied with laser interferometry method and the results of fluorescence analysis of the macroscopic gel structure. The diffusion kinetics of these substances released from aqueous solutions of a molar concentration of 0.05 M into the agarose solutions of concentrations of 0.5% and 3% in two gravitational configurations of measuring system was analysed. In the first configuration the solute diffused according, whereas in the second one - opposite to the gravitational force. The diffusion was analysed in the time period between 120 and 2400 s with a time interval of Δt = 120 s. We observed that the convective instabilities were damped well by the agarose gel, which gives the possibility of the interferometric studies of the diffusive transport for other substances in different gravitational configurations of the system. The time characteristics of glucose and sucrose fluxes in both configurations of the system and the gravitational polarisation coefficient values were obtained. The substantial differences in fluxes of glucose and sucrose diffused according and opposite to the gravitational force were observed. Additionally, we observed the differences between the diffusive fluxes of these substances in both configurations in dependence on the gel solution concentration (which is associated with gel porosity dependent on its concentration) and the kind of diffused substance.

Subdiffusion in a system with thin membranes.

We study both theoretically and experimentally a process of subdiffusion in a system with two thin membranes. The theoretical model uses Green's functions obtained for the membrane system by means of the generalized method of images. These Green's functions are combinations of the fundamental solutions to a fractional subdiffusion equation describing subdiffusion in a homogenous, unbounded system. Using Green's functions we find analytical formulas describing the time evolution of concentration profiles and the time evolution of the amount of substance that remains in the region between the membranes. The concentration profiles fulfill a new boundary condition at the membrane, in which the membrane permeability is assumed to change over time according to the special formula presented in the paper. These concentration profiles fulfill a standard subdiffusion equation with fractional Riemann-Liouville time derivative only approximately, but they coincide very well with the experimental data. Fitting the theoretical functions in with the experimental results, we also estimate the subdiffusion coefficient of polyethylene glycol 2000 in agarose hydrogel.

Laser interferometric and cultivation methods for measurement of colistin/ampicilin and saponin interactions with smooth and rough of Proteus mirabilis lipopolysaccharides and cells.

Laser interferometry is commonly used in permeability studies of soluble substances. In this study a modification that allowed testing partially insoluble mixtures is presented. The modification relies on the measurement of diffusion from 1% agarose gel. As a model for this study, two Proteus mirabilis strains were used that differ in polysaccharide content: smooth P. mirabilis S1959 strain and its Re-type mutant, strain R45. By laser interferometry and precipitation it is shown that R45 lipopolysaccharide is more effective in binding colistin. It has been shown with the laser interferometric method that saponins, which are detergent-like substances of plant origin, partially enhance the interaction of colistin with the S and Re types of P. mirabilis. These results were confirmed with whole cell Proteus studies. The saponin partially inhibited the growth of the S and Re P. mirabilis strains at doses of 31-500 microg/ml. A sub-inhibitory dose--15 microg/ml of saponins alone do not reduced the numbers of P. mirabilis S1959 and R45 cells. However, the presence of colistin or amipicillin and 15 microg/ml of saponins reduced the amount of P. mirabilis S1959 and R45 cells. The saponins enhanced sensitivities of S and R P. mirabilis cells towards colistin and amipicillin. One may proposed that saponins binds to lipid A part of LPS may resulted on an increase in bacterial cell wall outer-membrane permeabilities and by that facilitated antibiotics penetration into the bacterial cells. In conclusion, the laser interferometric method is a useful tool for studies of lipopolysaccharide-antibiotic interactions even if the tested substances are not fully soluble in water.

Effect of concentration boundary layers on passive solute flows in a system of two polymeric membranes positioned in vertical planes.

The results of studies of influence of concentration boundary layers on passive diffusive transport in a double-membrane osmo-diffusive cell, containing a series of two (Ml and M(r)) vertically positioned, flat, microporous and symmetric polymer membranes (Nephrophane and Cellulose IMP-1) are presented in this paper. The membranes separated three compartments (l, m, r) containing binary, heterogeneous and non-ionic solutions (aqueous solutions of glucose or ethanol) or ternary non-electrolyte solutions (glucose solutions in 0.75 mol.l-1 solution of ethanol or ethanol solutions in 0.1 mol.l-1 aqueous solution of glucose). Solution concentrations fulfilled the condition C(k)l > C(k)m > C(k)r. The intermembrane compartment (m) was an infinitesimal solution layer. The volume of the m compartment and the volumes of the external (l and r) compartments fulfilled the condition Vl = Vr approximately 170 Vm. The tests were performed for configurations A and B of a double-membrane osmo-diffusive cell. In configuration A, the solution was located behind the M(r) membrane, and water was placed behind the Ml membrane, while in configuration B this sequence was reversed. The results obtained during experiment were interpreted in the categories of convective instability, which increased the value of diffusive permeability coefficient of the system: concentration boundary layer/membrane/concentration boundary layer.