Inhomogeneous alginate gel spheres: an assessment of the polymer gradients by synchrotron radiation-induced X-ray emission, magnetic resonance microimaging, and mathematical modeling

It has been previously demonstrated that calcium alginate gels prepared by dialysis often exhibit a concentration inhomogeneity being the polymer concentration considerably lower in the center of the gel than at the edges. Inhomogeneity may be a preferred structure in microcapsules due to low porosity and higher stability so that it is interesting to evaluate the polymer gradient in spherically symmetrical small alginate beads (1.0-0.7 mm diameter) obtained in different conditions. In this paper, two complementary techniques have been used to investigate this aspect. The concentration gradient of alginate has been analyzed by measuring both the spatial distribution of calcium ions in sections of alginate gel spheres, by means of x-ray fluorescence spectroscopy, and the T2 relaxation behavior on intact gel beads using magnetic resonance microimaging. The experimentally determined gradients from three-dimensional gels provide data to reevaluate the parameter estimates in the recently reported mathematical model for alginate gel formation (A. Mikkaelsen and A. Elgsaeter, Biopolymers, 1995, Vol. 36, pp. 17-41). The model may account for the gels being less inhomogeneous when nongelling sodium or magnesium ions are added during gelation.     

Optical anisotropy of calcium-induced alginate gels

Alginate gels formed by diffusion of calcium ions into solutions of sodium alginate were found to exhibit optical anisotropy depending on preparation conditions. When observed under crossed nicols, the anisotropic alginate gels showed a birefringence pattern which is characteristic of radial orientation of polymer chains. Calcium alginate gels were prepared from different concentrations of sodium alginate and calcium ion, and the conditions for formation of the anisotropic gels were determined. The gel-formation process was measured by monitoring the development of the birefringent layer and was compared with the model in which the diffusion of calcium ions dominates gel formation.     

Hyaluronate-alginate gel as a novel biomaterial: mechanical properties and formation mechanism

With the aim of producing a biomaterial for surgical applications, the alginate-hyaluronate association has been investigated to combine the gel-forming properties of alginate with the healing properties of hyaluronate. Gels were prepared by diffusion of calcium into alginate-hyaluronate mixtures, with an alginate content of 20 mg/mL. The hyaluronate source was shown to have significant effect on the aspect and the properties of the gels. The gels have viscoelastic behaviour and the transient measurements carried out in creep mode could be interpreted through a Kelvin-Voigt generalised model: experimental data led to the steady state hardness and a characteristic viscosity of the gel. Gels prepared from Na rooster comb hyaluronate with weight ratio up to 0.50 have satisfactory mechanical properties, and fully stable gels are obtained after a few days; on the contrary, use of lower molecular weight hyaluronate led to loose gels for hyaluronate contents over 0.25. Gel formation was investigated by measurements of the exchange fluxes between the calcium chloride solution and the forming gel, which allowed thorough investigations of the occuring diffusion phenomena of water, calcium ion and hyaluronate. Strong interactions of water with hyaluronate reduce significantly the rate of weight loss from the gel beads and allows higher water content in steady-state gels. Calcium content in the gel samples could be correlated to the actual alginate concentration, whatever the nature and the weight ratio of hyaluronate.     

Investigation of alginate gel inhomogeneity in simulated gastro-intestinal conditions using magnetic resonance imaging and transmission electron microscopy

The inhomogeneity of alginate gel beads prepared by an external diffusion method has been characterised using spatially resolved nuclear magnetic resonance or “magnetic resonance imaging” (MRI) and transmission electron microscopy (TEM). The beads exhibited various degrees of inhomogeneity although reducing the length of exposure to the gelling bath and the presence of non-gelling ions decreased gel inhomogeneity. In order to gain information regarding the gastro-intestinal functionality of these beads for in vivo applications, they were exposed to simulated gastro-intestinal conditions. The increased polymer concentration at the edge of the beads was shown to persist throughout our gastro-intestinal model despite the centre of the bead becoming progressively more porous in nature. The porosity of the alginate gels has been quantified by image analysis of transmission electron micrographs and shown to depend on both location within the bead and gastro-intestinal conditions. We suggest that such changes in porosity of these alginate beads during simulated gastro-intestinal conditions may make these an attractive option for controlled delivery applications in vivo.     

The use of calcium alginate gels for “solids separation” and “diffusional chromatography” of biological materials

The use of calcium alginate gels for the “Solids Separation” techniques was demonstrated by entrapment of a yeast extract in calcium alginate pellets and the study of the release of alcohol dehydrogenase and NADH into a dilute calcium chloride solution. The use of calcium alginate gels for a “Diffusional Chromatography” technique was demonstrated in a model system by a fractionation of NAD and hemoglobin release following their entrapment in calcium alginate pellets. The advantages of these techniques and their potentials are discussed.     

Stability of hydrogels used in cell encapsulation: An in vitro comparison of alginate and agarose

The present studies were undertaken to evaluate the in vitro gel stability of the hydrogels alginate and agarose. Gel strength (of alginate and agarose) and protein diffusion (of alginate only) were shown to correlate with gel stability and to be useful techniques to monitor gel stability over time. The gel strengths of alginate and agarose were followed for a 90-day period using gel strength as a measure of gel stability. The gel strength of agarose diminished in the presence of cells because the cells likely interfered with the hydrogen bond formation required for agarose gelation. In the presence of cells, the gel strength of agarose decreased by an average of 25% from time 0 to 60 days, thereafter maintaining that value to 90 days. The gel strength of calcium- or barium-crosslinked alginate decreased over 90 days, with an equilibrium gel strength being achieved after 30 days. The presence of cells did not further decrease alginate gel strength. The gel strengths of calcium- and barium-crosslinked alginates were similar at 60 days-350 +/- 20 g and 300 +/- 60 g, respectively-indicating equivalence in their stability. The stability of calcium-crosslinked sodium alginate gels over a 60-day time period was monitored by diffusion of proteins ranging in molecular weight from 14.5 to 155 kD. From these diffusion measurements, the average pore size of the calcium-crosslinked alginate gels was estimated, using a semi-empirical model, to increase from approximately 176 to 289 A over a period of 60 days. (c) 1996 John Wiley & Sons, Inc.     

Alginate as immobilization material: III. Diffusional properties

The rate of diffusion of serum albumin (MW 6.9 x 10(4) D) out of beads of calcium alginate gels depends upon the concentration and uronic acid composition of the alginate (ManA/GulA ratio), the conditions under which the beads are produced, the pH, and the temperature. The diffusion coefficient decreases with increasing alginate concentration, and (ManA/GulA) ratio and with decreasing pH. Diffusion out of the beads, in which the alginate is uniformly distributed (homogeneous gel), is faster than out of the beads in which the alginate is concentrated at the surface (inhomogeneous gel). The temperature dependence of the diffusion coefficient follows the Arrhenius law, with an activation energy of approximately 23 kJ x mol(-1).     

Phase separation in calcium alginate gels

Alginates are polysaccharides consisting of beta-D-mannuronate and alpha-L-guluronate units. In the presence of bivalent cations like calcium the guluronate blocks form physically cross-linked gels. The gelation properties of alginates play an important role in the stability of extracellular polymer substances and in the food industry. When stock solutions of Ca2+ ions and alginate are mixed, the gelation starts before the Ca2+ ions are evenly distributed, which leads to non-uniform gels. In this contribution, Ca alginate gels were prepared by in situ gelation using glucono-delta-lactone and CaCO3. In this way, uniform gels could be prepared directly in the measuring cell. Below a critical concentration, highly viscous solutions were obtained, which were below the critical point of gel formation. In these solutions at low rotational speeds a Schlieren peak arose, which became smaller and steeper with increasing time until a new meniscus could be detected. This behaviour is in contrast to the peak broadening due to diffusion after a synthetic boundary was formed. Evaluation of the data leads to negative diffusion coefficients. It has been shown by others that the mutual diffusion coefficient must be negative in the spinodal region. This phenomena is known as uphill diffusion and leads to phase separation of a binary system. The formation of the gel phase in this case is therefore discussed as uphill diffusion.     

Influence of oligoguluronates on alginate gelation, kinetics, and polymer organization

Structural polysaccharides of the alginate family form gels in aqueous Ca2+-containing solutions by lateral association of chain segments. The effect of adding oligomers of alpha-l-guluronic acid (G blocks) to gelling solutions of alginate was investigated using rheology and atomic force microscopy (AFM). Ca-alginate gels were prepared by in situ release of Ca2+. The gel strength increased with increasing level of calcium saturation of the alginate and decreased with increasing amount of free G blocks. The presence of free G blocks also led to an increased gelation time. The gel point and fractal dimensionalities of the gels were determined based on the rheological characterization. Without added free G blocks the fractal dimension of the gels increased from df = 2.14 to df = 2.46 when increasing [Ca2+] from 10 to 20 mM. This increase was suggested to arise from an increased junction zone multiplicity induced by the increased concentration of calcium ions. In the presence of free G blocks (G block/alginate = 1/1) the fractal dimension increased from 2.14 to 2.29 at 10 mM Ca2+, whereas there was no significant change associated with addition of G blocks at 20 mM Ca2+. These observations indicate that free G blocks are involved in calcium-mediated bonds formed between guluronic acid sequences within the polymeric alginates. Thus, the added oligoguluronate competes with the alginate chains for the calcium ions. The gels and pregel situations close to the gel point were also studied using AFM. The AFM topographs indicated that in situations of low calcium saturation microgels a few hundred nanometers in diameter develop in solution. In situations of higher calcium saturation lateral association of a number of alginate chains are occurring, giving ordered fiber-like structures. These results show that G blocks can be used as modulators of gelation kinetics as well as local network structure formation and equilibrium properties in alginate gels.     

Ionic and acid gel formation of epimerised alginates; the effect of AlgE4

AlgE4 is a mannuronan C5 epimerase converting homopolymeric sequences of mannuronate residues in alginates into mannuronate/guluronate alternating sequences. Treating alginates of different biological origin with AlgE4 resulted in different amounts of alternating sequences. Both ionically cross-linked alginate gels as well as alginic acid gels were prepared from the epimerised alginates. Gelling kinetics and gel equilibrium properties were recorded and compared to results obtained with the original non-epimerised alginates. An observed reduced elasticity of the alginic acid gels following epimerisation by AlgE4 seems to be explained by the generally increased acid solubility of the alternating sequences. Ionically (Ca(2+)) cross-linked gels made from epimerised alginates expressed a higher degree of syneresis compared to the native samples. An increase in the modulus of elasticity was observed in calcium saturated (diffusion set) gels whereas calcium limited, internally set alginate gels showed no change in elasticity. An increase in the sol-gel transitional rate of gels made from epimerised alginates was also observed. These results suggest an increased possibility of creating new junction zones in the epimerised alginate gel due to the increased mobility in the alginate chain segments caused by the less extended alternating sequences.     

Relevance of Rheological Properties of Sodium Alginate in Solution to Calcium Alginate Gel Properties

The purpose of this study is to determine whether sodium alginate solutions’ rheological parameters are meaningful relative to sodium alginate’s use in the formulation of calcium alginate gels. Calcium alginate gels were prepared from six different grades of sodium alginate (FMC Biopolymer), one of which was available in ten batches. Cylindrical gel samples were prepared from each of the gels and subjected to compression to fracture on an Instron Universal Testing Machine, equipped with a 1-kN load cell, at a cross-head speed of 120 mm/min. Among the grades with similar % G, (grades 1, 3, and 4), there is a significant correlation between deformation work (L _E) and apparent viscosity (η _app). However, the results for the partial correlation analysis for all six grades of sodium alginate show that L _E is significantly correlated with % G, but not with the rheological properties of the sodium alginate solutions. Studies of the ten batches of one grade of sodium alginate show that η _app of their solutions did not correlate with L _E while tan δ was significantly, but minimally, correlated to L _E. These results suggest that other factors—polydispersity and the randomness of guluronic acid sequencing—are likely to influence the mechanical properties of the resultant gels. In summary, the rheological properties of solutions for different grades of sodium alginate are not indicative of the resultant gel properties. Inter-batch differences in the rheological behavior for one specific grade of sodium alginate were insufficient to predict the corresponding calcium alginate gel’s mechanical properties.     

Diffusion characteristics of calcium alginate gels.

The diffusivity of a protein solute (bovine serum albumin) within calcium alginate gels made from sodium alginate of different guluronic acid content was determined. It was found that protein diffusion within alginate gels, prepared to be isotropic in structure, was greatest for gels prepared from sodium alginate of low guluronic acid content as opposed to those prepared from sodium alginate of high guluronic acid content. This finding was explained in terms of the difference in flexibility of the polymer backbone of the two alginates. The greater the polymer backbone flexibility, the greater the solute diffusivity within the gel.     

Diffusion coefficients of glucose and ethanol in cell-free and cell-occupied calcium alginate membranes

The diffusivities of glucose and ethanol in cell-free and cell-occupied membranes of calcium alginate were measured in a diffusion cell. The lag time analysis was used. Diffusivities decreased with increasing alginate concentration and were comparable with those in water for a 2% alginate membrane. Glucose and ethanol concentrations had no effect on the respective diffusion coefficients. The ratio of ethanol diffusivity to glucose diffusivity in 2 and 4% alginate agreed closely with the inverse ratio of the hydrodynamic raii for the two molecules in water, indicating that the hydrodynamic theory of diffusion in liquids may be applicable to diffusion in dilute alginate gels. Also, the presence of 20% dead yeast cells had no effect on the diffusivities. The data reported can be used to study reaction and diffusion in immobilized cell reactors and cell physiology under immobilized conditions.     

Mixed photo-cross-linked polyvinyl alcohol and calcium-alginate gels for cell entrapment

Living cells may be immobilized by gel entrapment under very mild conditions. The ionotropic gelation of alginate with bivalent cations such as Ca²⁺, as well as photo-induced gelation of polyvinyl alcohol (PVA) bearing photosensitive stilbazolium (SbQ) groups, are procedures that are compatible with most bioactive materials. In the search for more stable and stronger alginate gel beads, experiments have been carried out to investigate mixed gels from alginate and PVA-SbQ. The swelling capacities, diffusion properties, and potential toxic effect of the binary gel beads have been evaluated. The gel beads of selected PVA-SbQ/alginate mixtures were applied successfully as carriers in a denitrification process with continuous feeding of unsterilized water medium. Under such conditions, the purely synthetic PVA-SbQ network is expected to have a longer lifespan than a natural biopolymer such as alginate.     

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.     

The immobilization of microbial cells, subcellular organelles, and enzymes in calcium alginate gels.

Saccharomyces cerevisiae cells, Kluyveromyces marxianus cells, inulase, glucose oxidase, chloroplasts, and mitochondria were immobilized in calcium alginate gels. Ethanol production from glucose solutions by an immobilized preparation of S. cerevisiae was deomonstrated over a total of twenty-three days, and the half-life of such a preparation was shown to be about ten days. Immobilized K. marxianus, inulase, and glucose oxidase preparations were used to demonstrate the porosity and retraining properties of calcium alginate gels. Calcium alginate-immobilized chloroplasts were shown to perform the Hill reaction. Some experiments with immobilized mitochondria are reported.     

Rheologic behavior of deoxyhemoglobin S gels

The physical properties of deoxyhemoglobin S gels formed from solutions at concentrations and temperatures approaching those in vivo have been characterized by stress relaxation using a rotational rheometer. Gels were annealed in the rheometer and then subjected to a constant shear strain; thereafter the stress sustained was followed with time. Gels with solid-like behavior held stress indefinitely, and were characterized by yield temperature (the temperature at which stress decreased). Gels with less solid behavior were unable to hold target stress, and were characterized by yield stress (maximum stress attained) and equilibrium stress (final stress held). The samples were ultracentrifuged to calculate pellet and polymer masses. The solidity of the gels, as measured by yield temperature or yield stress, was related to the initial hemoglobin concentration, pellet and polymer masses, shear history, temperature, and the temperature and time of annealing. Solidity increased significantly with time when gels were annealed at 37 degrees C, whereas, when annealed at 25 degrees C, no or minimal increases in solidity were noted. Studies suggest that polymerization occurs rapidly and is completed early in or before the gel annealing period and that the increase in solidity with time of annealing is mainly due to factors other than polymer mass, i.e. alignment, increasing bond strength, water loss. The chemical activity of deoxyhemoglobin S did not affect the solidity of the formed gels. When the resultant polymer masses were comparable, gels formed from samples with albumin present (higher initial total protein concentration, but lower initial deoxyhemoglobin S concentration), had the same behavior as gels formed from solutions with higher initial hemoglobin S concentration. These findings demonstrate that gel annealing conditions must be standardized when comparing the rheologic behaviors of deoxyhemoglobin S gels and indicate that the gel's physical properties (influenced by polymer mass, shear history, annealing time) must be considered in understanding pathophysiology of sickling disorders.     

Development of a Model for Analyzing the Swelling Rate of Ionic Gels on the Basis of the Diffusion of Mobile Ions: Application to the pH-Sensitive Swelling of a Polyelectrolyte Complex Gel Prepared from Xanthan and Chitosan

A model for analyzing the swelling rate of ionic gels was developed on the basis of the diffusion of a species of mobile ion. This model was applied to the analysis of pH-sensitive swelling of a xanthan/chitosan complex gel in NaOH solutions of pH 9–12, using the sodium ion as the reference mobile ion. The time–course for swelling of gel beads with a pH change from 11 to 10 was successfully described by the developed model. The values for the diffusion coefficient obtained by fitting the model to the data were of the same order as those for the diffusion coefficient of the sodium ion measured for a membrane of the complex gel. Thus, it was confirmed that the swelling rate of the gel due to pH change was mainly controlled by the diffusion of mobile ions. However, the time-course for swelling of the gel at pH values below 10 was not satisfactorily explained by the model developed, suggesting that the change in the degree of ionization during swelling also affected the swelling rate of the xanthan/chitosan complex gel.     

The immobilization of microbial cells, subcellular organelles, and enzymes in calcium alginate gels. Reprinted from Biotechnology and Bioengineering, Vol. XIX, No. 3, Pages 387-397 (1977)

Saccharomyces cerevisiae cells, Kluyveromyces marxianus cells, inulase, glucose oxidase, chloroplasts, and mitochondria were immobilized in calcium alginate gels. Ethanol production from glucose solutions by an immobilized preparation of S. cerevisiae was demonstrated over a total of twenty-three days, and the half-life of such a preparation was shown to be about ten days. Immobilized K. marxianus, inulase, and glucose oxidase preparations were used to demonstrate the porosity and retraining properties of calcium alginate gels. Calcium alginate-immobilized chloroplasts were shown to perform the Hill reaction. Some experiments with immobilized mitochondria are reported.     

Transport characterization of hydrogel matrices for cell encapsulation

Current membrane-based bioartificial organs consist of three basic components: (1) a synthetic membrane, (2) cells that secrete the product of interest, and (3) an encapsulated matrix material. Alginate and agarose have been widely used to encapsulate cells for artificial organ applications. It is important to understand the degree of transport resistance imparted by these matrices in cell encapsulation to determine if adequate nutrient and product fluxes can be obtained. For artificial organs in xenogeneic applications, it may also be important to determine the extent of immunoprotection offered by the matrix material. In this study, diffusion coefficients were measured for relevant solutes [ranging in size from oxygen to immunoglobulin G (IgG)] into and out of agarose and alginate gels. Alginate gels were produced by an extrusion/ionic crosslinking process using calcium while agarose gels were thermally gelled. The effect of varying crosslinking condition, polymer concentration, and direction of diffusion on transport was investigated. In general, 2-4% agarose gels offered little transport resistance for solutes up to 150 kD, while 1.5-3% alginate gels offered significant transport resistance for solutes in the molecular weight range 44-155 kD-lowering their diffusion rates from 10- to 100-fold as compared to their diffusion in water. Doubling the alginate concentration had a more significant effect on hindering diffusion of larger molecular weight species than did doubling the agarose concentration. Average pore diameters of approximately 170 and 147 A for 1.5 and 3% alginate gels, respectively, and 480 and 360 A for 2 and 4% agarose gels, respectively, were estimated using a semiempirical correlation based on diffusional transport of different-size solutes. The method developed for measuring diffusion in these gels is highly reproducible and useful for gels crosslinked in the cylindrical geometry, relevant for studying transport through matrices used in cell immobilization in the hollow fiber configuration. (c) 1996 John Wiley & Sons, Inc.