Limitations of methods of determining effective diffusion coefficients in cell immobilization matrices

Various techniques are available for determining the effective diffusivity D(e) of solutes such as glucose in cell immobilization matrices. Nearly all, if not all, are subject to errors and limitations as regards the ranges of temperature, pressure, and/or concentration over which they give reliable results. It is the purpose of this article to compare three of these methods, designated (a) thin disc, (b) cylinder, and (c) beads types, and to show by means of a sensitivity and error analysis of the equation used in each method that the thin-disc and cylindrical techniques give more accurate results of D(e) than does the bead method.     

Minimizing the errors associated with the determination of effective diffusion coefficients when using spherical cell immobilization matrices

Gel materials are often used to entrap biological catalysts. Several experimental methods have been proposed to estimate the diffusion coefficient of important chemical species within these materials. An error analysis for the bead method was performed and, contrary to previously reported results, when proper experimental conditions were employed, the error associated with the bead method was similar to that obtained using the other common methods.     

The determination of local cell membrane diffusion coefficients

Solutions applicable to the measurement of cell membrane diffusion coefficients are derived using an approximate integral method.     

Evaluation of Taylor dispersion injections: determining kinetic/affinity interaction constants and diffusion coefficients in label-free biosensing

In label-free biomolecular interaction analysis, a standard injection provides an injection of uniform analyte concentration. An alternative approach exploiting Taylor dispersion produces a continuous analyte titration allowing a full analyte dose response to be recorded in a single injection. The enhanced biophysical characterization that is possible with this new technique is demonstrated using a commercially available surface plasmon resonance-based biosensor. A kinetic interaction model was fitted locally to Taylor dispersion curves for estimation of the analyte diffusion coefficient in addition to affinity/kinetic constants. Statistical confidence in the measured parameters from a single Taylor dispersion injection was comparable to that obtained for global analysis of multiple standard injections. The affinity constants for multisite interactions were resolved with acceptable confidence limits. Importantly, a single analyte injection could be treated as a high-resolution real-time affinity isotherm and was demonstrated using the complex two-site interaction of warfarin with human serum albumin. In all three model interactions tested, the kinetic/affinity constants compared favorably with those obtained from standard kinetic analysis and the estimates of analyte diffusion coefficients were in good agreement with the expected values.     

Swelling behavior of poly(vinyl alcohol) cryogels employed as matrices for cell immobilization

Poly(vinyl alcohol) cryogels are prepared from aqueous solutions of the polymer by freezing and thawing and are employed as matrices for cell immobilization. The swelling behavior of these macroporous gel carriers in pure water and in solutions of certain compounds (salts, amino acids, and glucose) was studied to elucidate the osmotic properties of the cryogels during long-term exposure to aqueous media. It was shown that after the initial sol fraction was washed out, the residual gel matrix possessed high stability even at extreme pH conditions (acid or alkali concentration up to 1.0 mol l⁻¹) or in the presence of strong chaotropic salts such as sodium rhodanide. Although the macroporous supermolecular structure of the carriers under consideration underwent certain changes as a result of aging processes during prolonged washing of the gel, the high porous morphology of the material was retained.     

Estimation of diffusion coefficients of proteins

A correlation for estimating the diffusion coefficients of protein molecules is presented. The correlation is based upon literature values of the protein diffusion coefficients and molal volumes for 143 proteins. The correlation can be used for the estimation of diffusion coefficients using only molecular weight. Accuracy is such that a linear regression on 301 proteins showed 75% of the diffusion coefficients estimated fell within 20% of the experimental values. The relationship between this correlation, the Stokes–Einstein equation, and the Wilke–Chang correlation is discussed.     

Prediction of diffusion coefficients of proteins

A correlation for predicting the diffusion coefficients of proteins at standard conditions is proposed by adapting the Stokes-Einstein equation to a model for the equivalent hydrodynamic sphere. The radius of gyration, which accounts for the size and shape of protein molecules in solution, was used in deriving the new correlation. The correlation successfully predicted the diffusion coefficients of proteins, for which experimental data were available, with a higher degree of accuracy than achieved by previous correlation methods.     

Comparison of two methods for determining human adipose cell size

The mean cell sizes of specimens of human adipose tissue were determined on sectioned slices according to the method described by Sj?str?m et al. (J. Lipid Res. 1971. 12: 521-530) and on adipocytes isolated after treatment of the tissue with collagenase. The average mean cell sizes from 11 biopsy specimens were 94.4 and 94.0 micro m, respectively (r = 0.964; P(t(b)) < 0.001; y = 0.90x + 9.74), for the two methods. There was no indication of an increased rupture of isolated large human adipose cells. Thus, with precautions (freshly siliconized glassware and omitting the centrifugation of the isolated cells), the collagenase method may be used for metabolic as well as morphologic studies of human adipose tissue.     

The use of flow cytofluorometry for determining antisperm antibodies by sperm immobilization and sperm toxicity methods]

During antisperm antibody detection by conventional methods of immobilization and cytotoxicity investigators used flow cytometry to detect dead and/or immovable sperm cells. It was shown that after incubation of sperm cells with low antiserum dilution immovable spermatozoa are still living. Evidently, cytotoxicity test in this case brings about false-negative results. Therefore, flow cytometry will be a success for ASAB detection through immobilization test.     

Characterization of sugar diffusion coefficients in alginate membranes

The diffusivity of several monosaccharides and disaccharides in calcium alginate gels was determined using a specially designed diaphragm cell. The diffusion coefficients of the tested sugars are 4 to 18% smaller in alginate gel than in water and, with the exception of fructose, this difference increases with increasing sugar molecular weight. Also the position of the carbonyl group seems to be determined in the value of the diffusion coefficient - ketoses have lower diffusion coefficients than aldoses.     

NMR studies on heavy metal immobilization in biosorbents and mineral matrices

Magnetic resonance imaging and otherNMR methods have a potential for thenon-destructive observation of environmentallyrelevant processes with both spatial andtemporal resolution. Among other applications,such methods can be used to study transport andimmobilization of paramagnetic heavy metal ionsin biosorbents and other matrices. Thisoverview covers various NMR approaches to studysuch processes and illustrates them withexamples of imaging on alginate-basedbiosorbents and on heavy-metal doped gypsumpastes. Experimental challenges in studies ofother matrices are shortly addressed as well.     

Determination of diffusion and permeability coefficients in nerve trunks

A mathematical theory is developed which permits the determination of certain parameters of an inhomogenous tissue, such as a nerve trunk without its epineurium. The parameters are the permeability coefficients for entrance into an exit of a substance from the nerve fibers, and the diffusion coefficient of the interstitial material. The experimental data required are the dimensions of the cross-section, the average diameter of the fibers, and the ratio of the cross-sectional are of the fibers to the total cross-section, as well as the time course of the decrease of the fraction of the substance left in the nerve trunk, when the trunk is immersed in a bathing solution containing none of it.     

Determination of glucose diffusion coefficients in biofilms with micro-electrodes

A glucose micro-electrode was developed for direct measurements inside biofilms, and applied for the determination of effective diffusion coefficients in a model system of agar beads containing immobilized yeast cells. Two methods were used, one based on concentration gradients present at the liquid/solid interface of an active biofilm under steady-state conditions, the other based on the rate of glucose redistribution in an inactivated biofilm under transient-state conditions. Additional measurements with pH and oxygen micro-electrodes were performed and thus allowed for in-situ correction of the glucose electrode signal. From the micro-electrode measurements in the model system it was concluded that the glucose micro-sensor is a useful tool with which to obtain effective diffusion coefficients in biofilms.     

The molecular mechanism of adsorption immobilization of inulinase on polymer matrices

The conditions and mechanisms of the immobilization of inulinase on polymeric carriers were studied using the VION KN-1 and KU-2 cation-exchangers, VION AN-1 and AV-17-2P anion-exchangers, and the ampholyte KOPAN-90. The calculated data showed a significant role of van der Waals interactions and hydrogen bonding in the formation of virtually all inulinase complexes with the immobilization matrices. The AV-17-2P anion-exchanger was the only one of the studied polymer matrices that was unable to form hydrogen bonds with inulinase. The mechanisms of the interaction between inulinase and various ampholytes and cation and anion exchange resins differ from each other. The strongest differences are observed in mechanisms of the sorption of inulinase on VION KN-1 and chitosan matrices. Approximately 87% of the identical amino-acid residues are involved in the interaction of the enzyme with the KU-2 and AV-17-2P resins and the VION AN-1 and KOPAN-90 fibers.     

Possibility of an artefact in determining hematopoietic stem cell proliferation by CFUs suicide methods

Spleen colonies in the irradiated mice are produced by both stem cells and by their more differentiated progeny. In the latter case the colonies are transitory, ceasing 10-11 days after cell injection. The transitory colonies may be the cause of systematic artifact during the determination of stem cell proliferation. It was shown in particular that the proliferation of stem cells after sublethal irradiation remains the same, while higher rates of suicide are determined by the death of the precursors of the transitory colonies. At the same time higher proliferation of stem cells is not artifact in lethally irradiated animals and is also detectable after exclusion of the effects of the precursors of the transient colonies.