Water holding capacity and microstructure of gellan gels

This project studied the water holding capacity of gellan gels as affected by gel composition and microstructure. When not subjected to external forces such as centrifugal force, gellan gel properties including water holding capacity and texture properties were stable at room temperatures. The water losses from gellan gels after four months storage at 4°C were only 1–2%, independent of calcium concentrations. The freeze–thaw stability of gellan gels was poor. Water holding capacity of gellan gels, when subjected to centrifugal forces, was dependent on calcium concentrations, and was related to the texture properties. Two discrete pore-size distributions in gel matrix on the order of 0.1 and 1 μ were observed with scanning electronic microscopy. Large pores were formed with thick strings while the small ones were formed by a thin web structure. Defects in the large pore structure were observed at high calcium concentrations. The small pores may be responsible for the water holding capacity during storage, while large pore structures provide the strength of gels.     

Cells Actively Stiffen Fibrin Networks by Generating Contractile Stress

During wound healing and angiogenesis, fibrin serves as a provisional extracellular matrix. We use a model system of fibroblasts embedded in fibrin gels to study how cell-mediated contraction may influence the macroscopic mechanical properties of their extracellular matrix during such processes. We demonstrate by macroscopic shear rheology that the cells increase the elastic modulus of the fibrin gels. Microscopy observations show that this stiffening sets in when the cells spread and apply traction forces on the fibrin fibers. We further show that the stiffening response mimics the effect of an external stress applied by mechanical shear. We propose that stiffening is a consequence of active myosin-driven cell contraction, which provokes a nonlinear elastic response of the fibrin matrix. Cell-induced stiffening is limited to a factor 3 even though fibrin gels can in principle stiffen much more before breaking. We discuss this observation in light of recent models of fibrin gel elasticity, and conclude that the fibroblasts pull out floppy modes, such as thermal bending undulations, from the fibrin network, but do not axially stretch the fibers. Our findings are relevant for understanding the role of matrix contraction by cells during wound healing and cancer development, and may provide design parameters for materials to guide morphogenesis in tissue engineering.     

Cells Actively Stiffen Fibrin Networks by Generating Contractile Stress

During wound healing and angiogenesis, fibrin serves as a provisional extracellular matrix. We use a model system of fibroblasts embedded in fibrin gels to study how cell-mediated contraction may influence the macroscopic mechanical properties of their extracellular matrix during such processes. We demonstrate by macroscopic shear rheology that the cells increase the elastic modulus of the fibrin gels. Microscopy observations show that this stiffening sets in when the cells spread and apply traction forces on the fibrin fibers. We further show that the stiffening response mimics the effect of an external stress applied by mechanical shear. We propose that stiffening is a consequence of active myosin-driven cell contraction, which provokes a nonlinear elastic response of the fibrin matrix. Cell-induced stiffening is limited to a factor 3 even though fibrin gels can in principle stiffen much more before breaking. We discuss this observation in light of recent models of fibrin gel elasticity, and conclude that the fibroblasts pull out floppy modes, such as thermal bending undulations, from the fibrin network, but do not axially stretch the fibers. Our findings are relevant for understanding the role of matrix contraction by cells during wound healing and cancer development, and may provide design parameters for materials to guide morphogenesis in tissue engineering.     

Electrophoretic elution of macromolecules from polyacrylamide or agarose gels

A method for elution of micrograms of macromolecules from polyacrylamide and agarose gels is described. The recoveries were greater than 90% with three different macromolecules tested (28 to 360 kDa). An amount as small as 1 microgram of human serum albumin was eluted from polyacrylamide gel with 90% recovery. The eluted material is collected into a small chamber the size of which can be changed as required. Elution and concentration are achieved simultaneously and in one step under mild conditions. Sterile eluates can be obtained, if the apparatus is constructed under sterile conditions.     

Squeezing flows of vaginal gel formulations relevant to microbicide drug delivery

Efficacy of topical microbicidal drug delivery formulations against HIV depends in part on their ability to coat, distribute, and be retained on epithelium. Once applied to the vagina, a formulation is distributed by physical forces including: gravity, surface tension, shearing, and normal forces from surrounding tissues, i.e., squeezing forces. The present study focused on vaginal microbicide distribution due to squeezing forces. Mathematical simulations of squeezing flows were compared with squeezing experiments, using model vaginal gel formulations. Our objectives were: (1) to determine if mathematical simulations can accurately describe squeezing flows of vaginal gel formulations; (2) to find the best model and optimized parameter sets to describe these gels; and (3) to examine vaginal coating due to squeezing using the best models and summary parameters for each gel. Squeezing flow experiments revealed large differences in spreadability between formulations, suggesting different coating distributions in vivo. We determined the best squeezing flow models and summary parameters for six test gels of two compositions, cellulose and polyacrylic acid (PAA). We found that for some gels it was preferable to deduce model input parameters directly from squeezing flow experiments. For the cellulose gels, slip conditions in squeezing flow experiments needed to be evaluated. For PAA gels, we found that in the absence of squeezing experiments, rotational viscometry measurements (to determine Herschel-Bulkley parameters) led to reasonably accurate predictions of squeezing flows. Results indicated that yield stresses may be a strong determinant of squeezing flow mechanics. This study serves as a template for further investigations of other gels and determination of which sources of rheological data best characterize potential microbicidal formulations. These mathematical simulations can serve as useful tools for exploring drug delivery parameters, and optimizing formulations, prior to costly clinical trials.     

Synchronous reversible alterations in enzymatic activity (conformational fluctuations) in actomyosin and creatine kinase preparations.

The phenomenon of synchronism of oscillations of actomyosin and creatine kinase activity in the whole volume of the enzyme preparations was analysed. The synchronous "conformational oscillations" were observed in concentrated gels of actomyosin and in diluted actomyosin and creatine kinase solutions (ATP-creatine N-phosphotransferase, EC 2.7.3.2). The macromolecules of proteins studied may be in two or four conformational states differing enzymatic activity. Large fluctuations become possible in a range of conditions wherein two or four different states, or conformers, are equiprobable. The synchronization of conformational changes of separate macromolecules is maintained with energy derived, for instance, from some oxidative process or dilution of the solution, the process being displayed as conformational oscillations.     

Untersuchungen zur gelpermeationschromatographischen Fraktionierung von Natrium-Ligninsulfonat

The gelpermeation chromatography of sodium ligncsulfonates with bidistilled water as an eluent is influenced by the volume expansion of the polyelectrolyte, by the negative changes of the gels, and by the inclusion effect so markedly that true conclusions on the molecular weight distribution of sodium lignosulfonate cannot be drawn. Using electrolytes as an eluent these irregularities can be avoided. Polydispersity of these macromolecules however prevents separation into discrete peaks. As a result of this behaviour changes of molecular weight distribution are only poorly recognized. Therefore, on studying biotransformation of lignosulfonic acids we purpose to use gels by which one part of the lignosulfonates is excluded, and biotransformation may be controlled by the ratio of excluded part of the lignosulfonates to that part retarded by the gels.     

External versus internal source of calcium during the gelation of alginate beads for DNA encapsulation

Alginate gels produced by an external or internal gelation technique were studied so as to determine the optimal bead matrix within which DNA can be immobilized for in vivo application. Alginates were characterized for guluronic/mannuronic acid (G/M) content and average molecular weight using 1H-NMR and LALLS analysis, respectively. Nonhomogeneous calcium, alginate, and DNA distributions were found within gels made by the external gelation method because of the external calcium source used. In contrast, the internal gelation method produces more uniform gels. Sodium was determined to exchange for calcium ions at a ratio of 2:1 and the levels of calcium complexation with alginate appears related to bead strength and integrity. The encapsulation yield of double-stranded DNA was over 97% and 80%, respectively, for beads formed using external and internal calcium gelation methods, regardless of the composition of alginate. Homogeneous gels formed by internal gelation absorbed half as much DNAse as compared with heterogeneous gels formed by external gelation. Testing of bead weight changes during formation, storage, and simulated gastrointestinal (GI) conditions (pH 1.2 and 7.0) showed that high alginate concentration, high G content, and homogeneous gels (internal gelation) result in the lowest bead shrinkage and alginate leakage. These characteristics appear best suited for stabilizing DNA during GI transit.     

Hindered diffusion in agarose gels: test of effective medium model.

The diffusivities of uncharged macromolecules in gels (D) are typically lower than in free solution (D infinity), because of a combination of hydrodynamic and steric factors. To examine these factors, we measured D and D infinity for dilute solutions of several fluorescein-labeled macromolecules, using an image-based fluorescence recovery after photobleaching technique. Test macromolecules with Stokes-Einstein radii (rs) of 2.1-6.2 nm, including three globular proteins (bovine serum albumin, ovalbumin, lactalbumin) and four narrow fractions of Ficoll, were studied in agarose gels with agarose volume fractions (phi) of 0.038-0.073. The gels were characterized by measuring the hydraulic permeability of supported agarose membranes, allowing calculation of the Darcy permeability (kappa) for each gel sample. It was found that kappa, which is a measure of the intrinsic hydraulic conductance of the gel, decreased by an order of magnitude as phi was increased over the range indicated. The diffusivity ratio D/D infinity, which varied from 0.20 to 0.63, decreased with increases in rs or phi. Thus as expected, diffusional hindrances were the most severe for large macromolecules and/or relatively concentrated gels. According to a recently proposed theory for hindered diffusion through fibrous media, the diffusivity ratio is given by the product of a hydrodynamic factor (F) and a steric factor (S). The functional form is D/D infinity = F(rs/k1/2) S(f), where f = [(rs+rf)/rf]2 phi and rf is the fiber radius. Values of D/D infinity calculated from this effective medium theory, without use of adjustable parameters, were in much better agreement with the measured values than were predictions based on other approaches. The strengths and limitations of the effective medium theory for predicting diffusivities in gels are discussed.     

A comparison of the effects of different substrata on chondrocyte morphology and the synthesis of collagen types IX and X

Summary Embryonic chick sternal chondrocytes were cultured either within three dimensional gels of type I collagen, type II collagen or agar, or as monolayers on plastic dishes coated with air-dried films of these matrix macromolecules. It was observed that cell shape and cell growth varied markedly between the different culture conditions. Flattened monolayers of cells on plastic or films of type I or type II collagen, proliferated more rapidly and reached a higher final cell density per culture than the more rounded cells found in the cultures on agar films or within three-dimensional gels. Biosynthetic studies demonstrated that in addition to the synthesis of type II collagen, all the cultures were producing collagen types IX and X. Chondrocytes cultured on plastic or films of the different matrix macromolecules all showed a similar expression of types IX and X collagen, independent of whether they displayed a flattened or round cell morphology. In contrast, marked variations in the proportions of the minor collagens, particularly type X collagen, were observed when the cells were cultured within three-dimensional gels. The data suggest that direct interaction of the cell surface with matrix constituents displaying a particular spatial array could be an important aspect in the control of type IX and X collagen expression by chondrocytes. The financial support of the Arthritis & Rheumatism Council and the Medical Research Council is gratefully acknowledged.     

Mobility models for stiff and flexible macromolecules in dilute gels

The effective sphere approximation for modeling electrophoretic transport of macromolecules in highly porous gels (the “Ogston model”) is examined, and contrasted with similar mobility models for stiff and flexible solutes. Calculation of segmental depletion near gel obstacles of various shapes demonstrates the limited applicability of the effective sphere approach. For highly flexible chains, both theory and experiment reveal a nonunique mapping between mobility and molecular size when the molecular radius is comparable to that of gel fibers. Turning to mobility behavior in more concentrated gels, neither flexible or stiff macromolecules behave as spheres; for the particular case of flexible chains, the presence of entropic barriers in concentrated gels can be understood in terms of a simple random planes model for the gel structure.     

Interrod forces in aqueous gels of tobacco mosaic virus.

The lateral separation of virus rod particles of tobacco mosaic virus has been studied as a function of externally applied osmotic pressure using an osmotic stress technique. The results have been used to test the assumption that lattice equilibrium in such gels results from a balance between repulsive (electrostatic) and attractive (van der Waals and osmotic) forces. Results have been obtained at different ionic strengths (0.001 to 1.0 M) and pH's (5.0 to 7.2) and compared with calculated curves for electrostatic nad van der Waals pressure. Under all conditions studied, interrod spacing decreased with increasing applied pressure, the spacings being smaller at higher ionic strengths. Only small differences were seen when the pH was changed. At ionic strengths near 0.1 M, agreement between theory and experiment is good, but the theory appears to underestimate electrostatic forces at high ionic strengths and to underestimate attractive forces at large interrod spacings (low ionic strengths). It is concluded that an electrostatic-van der Waals force balance can explain stability in tobacco mosaic virus gels near physiological conditions and can provide a good first approximation elsewhere.     

Reconstructing potential energy functions from simulated force-induced unbinding processes.

One-dimensional stochastic models demonstrate that molecular dynamics simulations of a few nanoseconds can be used to reconstruct the essential features of the binding potential of macromolecules. This can be accomplished by inducing the unbinding with the help of external forces applied to the molecules, and discounting the irreversible work performed on the system by these forces. The fluctuation-dissipation theorem sets a fundamental limit on the precision with which the binding potential can be reconstructed by this method. The uncertainty in the resulting potential is linearly proportional to the irreversible component of work performed on the system during the simulation. These results provide an a priori estimate of the energy barriers observable in molecular dynamics simulations.     

Effect of biocatalyst swelling on the operation of packed-bed immobilized enzyme bioreactor

A general mathematical model was developed for predicting the performance and simulation of a packed-bed immobilized enzyme reactor performing a reaction that follows Michaelis–Menten kinetics with competitive product inhibition. The performance of a packed-bed immobilized enzyme reactor was analyzed taking into account the effect of bed swelling on various diffusional phenomena such as axial dispersion, internal and external mass transfer limitations. The numerical solutions were compared with experimental data obtained for a packed-bed reactor operating with β-galactosidase entrapped in Ca-alginate-K-κ-carrageenan gels for lactose hydrolysis.     

Function,Structure, and Stability of Enzymes Confined in Agarose Gels

Research over the past few decades has attempted to answer how proteins behave in molecularly confined or crowded environments when compared to dilute buffer solutions. This information is vital to understanding in vivo protein behavior, as the average spacing between macromolecules in the cell cytosol is much smaller than the size of the macromolecules themselves. In our study, we attempt to address this question using three structurally and functionally different model enzymes encapsulated in agarose gels of different porosities. Our studies reveal that under standard buffer conditions, the initial reaction rates of the agarose-encapsulated enzymes are lower than that of the solution phase enzymes. However, the encapsulated enzymes retain a higher percentage of their activity in the presence of denaturants. Moreover, the concentration of agarose used for encapsulation had a significant effect on the enzyme functional stability; enzymes encapsulated in higher percentages of agarose were more stable than the enzymes encapsulated in lower percentages of agarose. Similar results were observed through structural measurements of enzyme denaturation using an 8-anilinonaphthalene-1-sulfonic acid fluorescence assay. Our work demonstrates the utility of hydrogels to study protein behavior in highly confined environments similar to those present in vivo; furthermore, the enhanced stability of gel-encapsulated enzymes may find use in the delivery of therapeutic proteins, as well as the design of novel strategies for biohybrid medical devices.     

Metastatic breast cancer cells adhere strongly on varying stiffness substrates,initially without adjusting their morphology

We show that metastatic breast cancer cells are quantitatively identifiable from benign cells during adherence onto soft, elastic gels. We identify differences in time-dependent morphology and strength of adherence of single breast cells that are likely related to their malignancy and metastatic potential (MP). Specifically, we compare high and low MP breast cancer cells with benign cells as a control on collagen-coated, polyacrylamide gels with Young’s modulus in the physiological range of 2.4–10.6 kPa. We observe that the evaluated metastatic breast cancer cells remain rounded, with small contact area, up to 6.5 h following seeding. In contrast, the benign cells spread and become more elongated on stiffer gels. We identify measurable differences in the two-dimensional, lateral, traction forces exerted by the cells, where the rounded, metastatic cells apply significantly larger, traction forces, as compared to the benign cells, on gels stiffer than 2.4 kPa. The metastatic cell lines exhibited gel-stiffness-dependent differences in traction forces, strain energies, and morphologies during the initial stages of adhesion, which may relate to their MP or invasiveness.     

Linker histone binding to superhelical DNA: Electrophoretic and filter binding studies

It has been known for years that linker histones bind preferentially to supercoiled DNA. This preference has been demonstrated by a number of different techniques including deoxyfibonucleoprotein electrophoresis, sedimentation, and filter binding under non-competitive conditions. In an attempt to further study this issue, we used one- and two-dimensional electrophoretic gels and filter binding under competitive conditions, with all DNA forms of interest being simultaneously present in the incubation mixture. Comparison between results obtained by the two methods showed that whereas the preference for superhelical molecules was clearly seen in the electrophoretic gels, the filter binding assay failed to reveal this preference. These results reveal limitations to the filter binding technique, which must be borne in mind in studies involving superhelical DNA molecules.     

Peptides and proteins in a confined environment: NMR spectra at natural isotopic abundance.

Confinement of proteins and peptides in a small inert space mimics the natural environment of the cell, allowing structural studies in conditions that stabilize folded conformations. We have previously shown that confinement in polyacrylamide gels (PAGs) is sufficient to induce a change in the viscosity of the aqueous solution without changing the composition and temperature of the solvent. The main limitation of a PAG to run NMR experiments in a confined environment is the need for labelling the peptides. Here we report the use of the agarose gel to run the NMR spectra of proteins and peptides. We show that agarose gels are completely transparent in NMR experiments, relieving the need for labelling. Although it is necessary to expose biomolecules to fairly high temperatures during sample preparation, we believe that this is not generally an obstacle to the study of peptides, and found that the method is also compatible with temperature-resistant proteins. The mesh of agarose gels is too wide for direct effects of confinement on the stability of proteins but confinement can be easily exploited to interact the proteins with other reagents, including crowding macromolecules that can eventually lead to fold stabilization. The use of these gels is ideally suited for low-temperature studies; we show that a very flexible peptide at subzero temperatures is stabilized into a well-folded conformation.     

Cell transport in model extracellular matrices

The rapid transport of cells has been shown to occur by ordered countercurrent convection. This convection can be created by mixtures of macromolecules which make up the extracellular matrix and by the degradation and aggregation products of these macromolecules. The ordered countercurrent convection is manifested in the form of structured flows and arises in isothermal systems with small concentration gradients of solutes. The flows are gravity driven but may rapidly move at angles close to the horizontal axis if they are mechanically constrained to do so. These flows have been shown to rapidly transport cells at rates ranging from 1 to 100 mm h-1, depending on the conditions of the experiment. The transport of cells is nonspecific in that various cell types (chondrocytes, fibroblasts, endothelial cells, and red blood cells) as well as inert particles of similar size (latex beads 6-microns diam) are transported at similar rates. Latex bead transport by structured flow has also been demonstrated to occur in confined spaces in the form of Teflon tubing down to 200 microns in diameter and at angles in the range of 45-90 degrees to the horizontal axis. The flows may also occur over relatively long distances for a prolonged period of time. The conditions for flow formation are simple and widespread. It is suggested that it may contribute to the forces involved in the movement of cells in the extracellular matrix in vivo especially during remodeling and embryogenesis.     

A method to determine whether a musculoskeletal model can resist arbitrary external loadings within a prescribed range

Computational models of the musculoskeletal system are prone to design errors. It is possible to create a model that cannot satisfy equilibrium conditions for a set of external loading conditions. A model is ‘loadable’ if there exists a set of muscle forces that can resist an arbitrary applied force within a prescribed range. In this study, a novel mathematical method is introduced to determine whether models are loadable. In addition, an idealised musculoskeletal model is presented in order to develop the theory behind the mathematical method. The method uses the simplex algorithm to determine feasibility of the linear programming problem and can determine loadability for an arbitrary, continuous range of external forces. The method was applied to a three-dimensional model of the shoulder and correctly determined loadability for a range of externally applied forces.