A mixture theory analysis for passive transport in osmotic loading of cells

The theory of mixtures is applied to the analysis of the passive response of cells to osmotic loading with neutrally charged solutes. The formulation, which is derived for multiple solute species, incorporates partition coefficients for the solutes in the cytoplasm relative to the external solution, and accounts for cell membrane tension. The mixture formulation provides an explicit dependence of the hydraulic conductivity of the cell membrane on the concentration of permeating solutes. The resulting equations are shown to reduce to the classical equations of Kedem and Katchalsky in the limit when the membrane tension is equal to zero and the solute partition coefficient in the cytoplasm is equal to unity. Numerical simulations demonstrate that the concentration-dependence of the hydraulic conductivity is not negligible; the volume response to osmotic loading is very sensitive to the partition coefficient of the solute in the cytoplasm, which controls the magnitude of cell volume recovery; and the volume response is sensitive to the magnitude of cell membrane tension. Deviations of the Boyle-van't Hoff response from a straight line under hypo-osmotic loading may be indicative of cell membrane tension.     

Agarose-dextran gels as synthetic analogs of glomerular basement membrane: water permeability

Novel agarose-dextran hydrogels were synthesized and their suitability as experimental models of glomerular basement membrane was examined by measuring their Darcy (hydraulic) permeabilities (kappa). Immobilization of large dextran molecules in agarose was achieved by electron beam irradiation. Composite gels were made with agarose volume fractions (phi(a)) of 0.04 or 0.08 and dextran volume fractions (phi(d)) ranging from 0 to 0.02 (fiber volume/gel volume), using either of two dextran molecular weights (500 or 2000). At either agarose concentration and for either size of dextran, kappa decreased markedly as the amount of dextran was increased. Statistically significant deviations from the value of kappa for pure agarose were obtained for remarkably small volume fractions of dextran: phi(d) > or = 0.0003 for phi(a) = 0.04 and phi(d) > or = 0.001 for phi(a) = 0.08. The Darcy permeabilities were much more sensitive to phi(d) than to phi(a), and were as much as 26 times smaller than those of pure agarose. Although phi(d) was an important variable, dextran molecular weight was not. The effects of dextran addition on kappa were described fairly well using simple structural idealizations. At high agarose concentrations, the dextran chains behaved as fine fibers interspersed among coarse agarose fibrils, whereas, at low concentrations, the dextran molecules began to resemble spherical obstacles embedded in agarose gels. The ability to achieve physiologically relevant Darcy permeabilities with these materials (as low as 1.6 nm2) makes them an attractive experimental model for glomerular basement membrane and possibly other extracellular matrices.     

A correlation between mechanical and electrical properties of the synthetic hydrogel chosen as an experimental model of cytoskeleton

The correlation between the electrochemical (Donnan) potential and volume swelling was studied for synthetic polyelectrolyte hydrogels considered as models of cytoskeleton gel-forming biopolymers. Hydrogels involving polyacrylic and polymethacrylic acids with varying network density were synthesized by a radical polymerization in aqueous solution. Electrical charge was introduced into the gel network by partial neutralization of monomer acids with several alkali and alkali earth (hydr)oxides. The electrochemical (Donnan) potential of synthetic gels was determined using conventional microelectrode tools for cell potential determination. It was demonstrated that the negative electrical potential of many anionic gels with various charges and network densities decreased with the decrease of equilibrium swelling, i.e., with the decrease in water content in the gel. It was shown that a drastic phase transition in the gel structure from a swollen to a compressed state induced by K⁺/Ca²⁺ exchange is accompanied by an analogous decrease in the absolute Donnan potential of the gels. A kinetic study demonstrated that the gel volume changed ahead of its electrical potential. This suggests that the volume phase transition in gel is the main cause of the electrical response. A similarity between the swelling/compression transition in synthetic gels and the volume changes in the cytoskeleton in the vicinity of the cell membrane was demonstrated. Based on the universal analogy between the properties of synthetic and natural polymer gels, a possible involvement of swelling of the gel-like cytoskeleton structures in electrical regulation in the cell was postulated.     

Metabolic characteristics of bacterial cells entrapped in beaded calcium alginate and/or pectate gels

A mixture of heterotrophic bacteria and collection strains ofEscherichia coli andPseudomonas fluorescens were immobilized in calcium alginate or pectate gels. Comparison of respiratory activity, substrate uptake and biosynthetic capacity of immobilized cells showed that both types of carriers permit a prolonged preservation of metabolic activity but the transfer of substances through the gel is faster in the pectate. Morphological changes include some intracellular structures, partial shrinkage of the plasma membrane of immobilized cells, and transformation of a rod-like cell shape to an oval one.     

A framework for whole-cell mathematical modeling

The default framework for modeling biochemical processes is that of a constant-volume reactor operating under steady-state conditions. This is satisfactory for many applications, but not for modeling growth and division of cells. In this study, a whole-cell modeling framework is developed that assumes expanding volumes and a cell-division cycle. A spherical newborn cell is designed to grow in volume during the growth phase of the cycle. After 80% of the cycle period, the cell begins to divide by constricting about its equator, ultimately affording two spherical cells with total volume equal to twice that of the original. The cell is partitioned into two regions or volumes, namely the cytoplasm (Vcyt) and membrane (Vmem), with molecular components present in each. Both volumes change during the cell cycle; Vcyt changes in response to osmotic pressure changes as nutrients enter the cell from the environment, while Vmem changes in response to this osmotic pressure effect such that membrane thickness remains invariant. The two volumes change at different rates; in most cases, this imposes periodic or oscillatory behavior on all components within the cell. Since the framework itself rather than a particular set of reactions and components is responsible for this behavior, it should be possible to model various biochemical processes within it, affording stable periodic solutions without requiring that the biochemical process itself generates oscillations as an inherent feature. Given that these processes naturally occur in growing and dividing cells, it is reasonable to conclude that the dynamics of component concentrations will be more realistic than when modeled within constant-volume and/or steady-state frameworks. This approach is illustrated using a symbolic whole cell model.     

Endocytosis and exocytosis protect cells against severe membrane tension variations

The ability of cells to regulate their shape and volume is critical for many cell functions. How endocytosis and exocytosis, as important ways of membrane trafficking, affect cellular volume regulation is still unclear. Here, we develop a theoretical framework to study the dynamics of cell volume, endocytosis, and exocytosis in response to osmotic shocks and mechanical loadings. This model can not only explain observed dynamics of endocytosis and exocytosis during osmotic shocks but also predict the dynamics of endocytosis and exocytosis during cell compressions. We find that a hypotonic shock stimulates exocytosis, while a hypertonic shock stimulates endocytosis; and exocytosis in turn allows cells to have a dramatic change in cell volume but a small change in membrane tension during hyposmotic swelling, protecting cells from rupture under high tension. In addition, we find that cell compressions with various loading speeds induce three distinct dynamic modes of endocytosis and exocytosis. Finally, we show that increasing endocytosis and exocytosis rates reduce the changes in cell volume and membrane tension under fast cell compression, whereas they enhance the changes in cell volume and membrane tension under slow cell compression. Together, our findings reveal critical roles of endocytosis and exocytosis in regulating cell volume and membrane tension.     

A Mechano-chemical Model for the Passive Swelling Response of an Isolated Chondron under Osmotic Loading

The chondron is a distinct structure in articular cartilage that consists of the chondrocyte and its pericellular matrix (PCM), a narrow tissue region surrounding the cell that is distinguished by type VI collagen and a high glycosaminoglycan concentration relative to the extracellular matrix. We present a theoretical mechano-chemical model for the passive volumetric response of an isolated chondron under osmotic loading in a simple salt solution at equilibrium. The chondrocyte is modeled as an ideal osmometer and the PCM model is formulated using triphasic mixture theory. A mechano-chemical chondron model is obtained assuming that the chondron boundary is permeable to both water and ions, while the chondrocyte membrane is selectively permeable to only water. For the case of a neo-Hookean PCM constitutive law, the model is used to conduct a parametric analysis of cell and chondron deformation under hyper- and hypo-osmotic loading. In combination with osmotic loading experiments on isolated chondrons, model predictions will aid in determination of pericellular fixed charge density and its relative contribution to PCM mechanical properties.     

Hindered convection of macromolecules in hydrogels

Hindered convection of macromolecules in gels was studied by measuring the sieving coefficient (theta) of narrow fractions of Ficoll (Stokes-Einstein radius, r(s) = 2.7-5.9 nm) in agarose and agarose-dextran membranes, along with the Darcy permeability (kappa). To provide a wide range of kappa, varying amounts of dextran (volume fractions < or = 0.011) were covalently attached to agarose gels with volume fractions of 0.040 or 0.080. As expected, theta decreased with increasing r(s) or with increasing concentrations of either agarose or dextran. For each molecular size, theta plotted as a function of kappa fell on a single curve for all gel compositions studied. The dependence of theta on kappa and r(s) was predicted well by a hydrodynamic theory based on flow normal to the axes of equally spaced, parallel fibers. Values of the convective hindrance factor (K(c), the ratio of solute to fluid velocity), calculated from Theta and previous equilibrium partitioning data, were unexpectedly large; although K(c) < or = 1.1 in the fiber theory, its apparent value ranged generally from 1.5 to 3. This seemingly anomalous result was explained on the basis of membrane heterogeneity. Convective hindrances in the synthetic gels were quite similar to those in glomerular basement membrane, when compared on the basis of similar solid volume fractions and values of kappa. Overall, the results suggest that convective hindrances can be predicted fairly well from a knowledge of kappa, even in synthetic or biological gels of complex composition.     

Swelling and de-swelling kinetics of gelatin hydrogels in ethanol-water marginal solvent

Controlled osmotic swelling and de-swelling measurements have been performed on gelatin, a polyampholyte, hydrogels suspended in water-ethanol marginal solvent at room temperature (20 degrees C) where the alcohol concentration was changed from 0 to 100% (v/v). The change in gel mass was monitored as function of time until osmotic equilibrium was established with the surrounding solvent. It was observed that osmotic pressure of polymer-solvent mixing, pi(m)相似文献   

Influence of alginate properties and gel reinforcement on fermentation characteristics of immobilized yeast cells

The effect of alginate composition, gel concentration, gelation method, cell loading and surface area on fermentation characteristics of immobilized yeast cells have been investigated. Molecular weight and G/M ratio had only little effect on fermentation velocity and gel strength, while increasing the alginate concentration caused a sizeable decrease in fermentation velocity and an increase in gel strength. The internally gelled immobilizates generally showed a higher fermentation velocity for the same gel strength and no decrease in gel strength was seen during fermentation. With high initial cell loadings, the fermentation velocity per g of immobilizate was higher, but the productivity per cell was lower than with low initial cell loadings. The difference decreased with time. Specific surface area (surface/volume) was shown to be an important factor for the observed productivity per gram of immobilizate, with high S/V ratios giving the highest productivity. Gel shape had no influence on fermentation velocity for a given S/V ratio. Gelation behaviour of externally gelled beads was determined by estimating the amount of cells liberated during gel formation through measurement of invertase activity (yeast-bound) in the gelling solution. A method for reinforcement of internally gelled alginate slabs with a nylon mesh was developed and utilized for production of a continuous fermentation reactor with reinforced gels.     

Myosin light chain kinase and Src control membrane dynamics in volume recovery from cell swelling

The expansion of the plasma membrane, which occurs during osmotic swelling of epithelia, must be retrieved for volume recovery, but the mechanisms are unknown. Here we have identified myosin light chain kinase (MLCK) as a regulator of membrane internalization in response to osmotic swelling in a model liver cell line. On hypotonic exposure, we found that there was time-dependent phosphorylation of the MLCK substrate myosin II regulatory light chain. At the sides of the cell, MLCK and myosin II localized to swelling-induced membrane blebs with actin just before retraction, and MLCK inhibition led to persistent blebbing and attenuated cell volume recovery. At the base of the cell, MLCK also localized to dynamic actin-coated rings and patches upon swelling, which were associated with uptake of the membrane marker FM4-64X, consistent with sites of membrane internalization. Hypotonic exposure evoked increased biochemical association of the cell volume regulator Src with MLCK and with the endocytosis regulators cortactin and dynamin, which colocalized within these structures. Inhibition of either Src or MLCK led to altered patch and ring lifetimes, consistent with the concept that Src and MLCK form a swelling-induced protein complex that regulates volume recovery through membrane turnover and compensatory endocytosis under osmotic stress.     

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.     

Addition of oligosaccharide decreases the freezing lesions on human red blood cell membrane in the presence of dextran and glucose

Although incubation with glucose before freezing can increase the recovery of human red blood cells frozen with polymer, this method can also result in membrane lesions. This study will evaluate whether addition of oligosaccharide (trehalose, sucrose, maltose, or raffinose) can improve the quality of red blood cell membrane after freezing in the presence of glucose and dextran. Following incubation with glucose or the combinations of glucose and oligosaccharides for 3 h in a 37 °C water bath, red blood cells were frozen in liquid nitrogen for 24 h using 40% dextran (W/V) as the extracellular protective solution. The postthaw quality was assessed by percent hemolysis, osmotic fragility, mean corpuscle volume (MCV), distribution of phosphatidylserine, the postthaw 4 °C stability, and the integrity of membrane. The results indicated the loading efficiency of glucose or oligosaccharide was dependent on their concentrations. Moreover, addition of trehalose or sucrose could efficiently decrease osmotic fragility of red blood cells caused by incubation with glucose before freezing. The percentage of damaged cell following incubation with glucose was 38.04 ± 21.68% and significantly more than that of the unfrozen cells (0.95 ± 0.28%, P < 0.01). However, with the increase of the concentrations of trehalose, the percentages of damaged cells were decreased steadily. When the concentration of trehalose was 400 mM, the percentage of damaged cells was 1.97 ± 0.73% and similar to that of the unfrozen cells (P > 0.05). Moreover, similar to trehalose, raffinose can also efficiently prevent the osmotic injury caused by incubation with glucose. The microscopy results also indicated addition of trehalose could efficiently decrease the formation of ghosts caused by incubation with glucose. In addition, the gradient hemolysis study showed addition of oligosaccharide could significantly decrease the osmotic fragility of red blood cells caused by incubation with glucose. After freezing and thawing, when both glucose and trehalose, sucrose, or maltose were on the both sides of membrane, with increase of the concentrations of sugar, the percent hemolysis of frozen red blood cells was firstly decreased and then increased. When the total concentration of sugars was 400 mM, the percent hemolysis was significantly less than that of cells frozen in the presence of dextran and in the absence of glucose and various oligosaccharides (P < 0.01). However, when both glucose and trehalose were only on the outer side of membrane, with increase of the concentrations of sugars, the percent hemolysis was increased steadily. Furthermore, addition of oligosaccharides can efficiently decrease the osmotic fragility and exposure of phosphatidylserine of red blood cells frozen with glucose and dextran. In addition, trehalose or raffinose can also efficiently mitigate the malignant effect of glucose on the postthaw 4 °C stability of red blood cells frozen in the presence of dextran. Finally, addition of trehalose can efficiently protect the integrity of red blood cell membrane following freezing with dextran and glucose. In conclusion, addition of oligosaccharide can efficiently reduce lesions of freezing on red blood cell membrane in the presence of glucose and dextran.     

A new approach for estimating the crosslink density of covalently crosslinked ionic polysaccharide gels

For an ideal polysaccharide gel with a known total polymer chain contour length, crosslinks all of the same functionality and elastic chains all with the same contour length and stiffness, the gel crosslink density can readily be determined from measurements of the maximum volume of the swollen gel (Moe et al., (1991) Food Hydrocolloids, 5, (1/2), 119–123. In the case of randomly crosslinked polysaccharide gels, where the chain contour length between two adjacent crosslinks may vary greatly, it is often much more difficult to determine the crosslink density. This paper reports on an attempt to extend the use of maximum gel volume measurements to estimate crosslink density for the latter type of gel. This is done by calculating the maximum swelling volume for polymer networks with four-functional crosslinks, known elastic chain mean contour length and standard deviation. The numerical analysis involves the calculation of the equilibrium force at each crosslink as the network expands. This allows a detailed study of how the distribution of individual polymer chain contour lengths affects the maximum swelling volume. The computer simulation results are compared with the results from experimental measurements of the maximum volume of swollen covalently crosslinked sodium alginate gels.     

Dynamic osmotic loading of chondrocytes using a novel microfluidic device

Many cells exhibit disparate responses to a mechanical stimulus depending on whether it is applied dynamically or statically. In this context, few studies have examined how cells respond to dynamic changes of the extracellular osmolality. In this study, we hypothesized that the cell size change response of cultured articular chondrocytes would be dependent on the frequency of applied osmotic loading. To test this hypothesis, we developed a novel microfluidic device, to apply hydrostatic pressure-driven dynamic osmotic loading by applying composition modulated flow, adapted from Tang and co-workers. This microfluidic device was used to study osmotic loads of +/-180 mOsm at a frequency up to 0.1 Hz with a constant minimal fluid-shear stress, and permit real-time monitoring of cell responses. Bovine articular chondrocytes were observed to exhibit increasing changes in cell volume with decreasing osmotic loading frequency. When the cell volume response was modeled by an exponential function, chondrocytes exhibited significantly different volume change responses to dynamic osmotic loading at 0.0125 Hz and static osmotic loading applied for a period of four minutes (Delta = +/-180 mOsm relative to the isotonic 360 mOsm). The intracellular calcium response at 0.0125 Hz was also monitored and compared with the response to static loading. Coupled with phenomenological or constitutive models, this novel approach could yield new information regarding cell material properties in response to dynamic loading that may contribute new insights into mechanisms of cellular homeostasis and mechanotransduction.     

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.     

Ethanolic fermentation with saccharomyces cerevisiae cells immobilized in pectate gel

High-molecular weight pectic acid with a STAUDINGER index of 210 ml/g and a degree of esterification of 3%was used as matrix material for the immobilization of Saccharomyces cerevisiae cells. In discontinuous and continuous fermentation tests the gel beads obtained exhibited the same biomass loading capacity (152–155 g dry wt. cells/kg gel) and about the same maximum specific productivity (103.0 g ethanol/kg gel · h) as alginate immobilizates. But there were distinct differences in the swelling behaviour of the two gels. Under the same experimental conditions the increase of bead volume amounted to 27% only for pectate gel in comparison to 129% for alginate gel. In continuous fermentation experiments performed in a horizontal-column packed-bed reactor with liquid recycling a mean steady-state ethanol concetration of 69.1 g/l and a mean productivity of 24.7 g ethanol/lh could be kept constant over a period of more than 10 days.     

Dynamic loading of deformable porous media can induce active solute transport

Active solute transport mediated by molecular motors across porous membranes is a well-recognized mechanism for transport across the cell membrane. In contrast, active transport mediated by mechanical loading of porous media is a non-intuitive mechanism that has only been predicted recently from theory, but not yet observed experimentally. This study uses agarose hydrogel and dextran molecules as a model experimental system to explore this mechanism. Results show that dynamic loading can enhance the uptake of dextran by a factor greater than 15 over passive diffusion, for certain combinations of gel concentration and dextran molecular weight. Upon cessation of loading, the concentration reverts back to that achieved under passive diffusion. Thus, active solute transport in porous media can indeed be mediated by cyclical mechanical loading.     

Effects of pre-freeze incubation of human red blood cells with various sugars on postthaw recovery when using a dextran-rapid cooling protocol

Polymer has been used as substitute to replace glycerol for cryopreservation of red blood cells (RBCs). But polymer can not penetrate cell membrane, it can not efficiently protect the inner membrane. In this study, RBCs were incubated with glucose, fructose, galactose or trehalose and frozen in liquid nitrogen for 24 h using dextran as the extracellular protectant. The postthaw quality was assessed by RBC hemolysis, RBC morphology, PS distribution, osmotic fragility, and the 4 °C stability. The results indicated the loading efficiency of monosaccharide was significantly higher than that of trehalose. Adding trehalose and 40% dextran caused more serious hemolysis before freezing. The percent hemolysis of RBCs loaded with high concentration of trehalose was approximately 16% and significantly more than that of RBCs loaded with glucose (approximately 5%, P < 0.05). Intracellular trehalose can not increase the postthaw recovery of RBCs compared with cells frozen without sugar. However, low concentration of intracellular glucose or galactose can reduce the percent hemolysis to less than 5% and significantly less than that of RBCs frozen without sugar (P < 0.05). Finally, the ability of galactose or fructose to maintain the 4 °C stability was significantly more than that of glucose. In conclusion, the injuries caused by trehalose loading may directly lead to postthaw hemolysis and poor quality of RBCs. However, monosaccharide can enhance the recovery of frozen RBCs. The cryoprotective effect of galactose may be better than that of glucose or fructose. In the future, we will continue to look for a safe and efficient trehalose loading process and try to decrease the osmotic fragility of RBCs frozen with polymers and sugars.     

The osmotic behaviour of Sephadex and its effects on chromatography

1. Sephadex in bead form shows reversible changes of inner volume when immersed in solutions of a non-penetrating solute. These changes are in accordance with the theory of Flory (1953) for the swelling of gels. This makes possible the use of single beads for measuring the osmotic pressures of polymer solutions, up to or beyond 1kg./cm.(2). 2. Measurements of the inner volume of Sephadex G-200 by equilibrium dilution, at various concentrations of dextran 500, gave values in agreement with those obtained from the dimensions of single beads. 3. Measurements by chromatography of the inner volume of Sephadex G-200 gave values that differed slightly but significantly from those obtained by the other methods. Similar small disagreements were found between the dilution and chromatographic values for bovine serum albumin measured in the presence of various concentrations of dextran 500. The major factor that affects the dependence of the chromatographic elution volume (of dextran 500) on concentration is shown to be the change of the inner volume of the Sephadex, with dynamic factors playing a minor role. 4. Contrary to the findings of Ackers (1964), the equilibrium dilution and chromatographic methods gave closely agreeing values for the distribution coefficient, K(av.), of bovine serum albumin on Sephadex G-200; this cast doubt on his explanation of the nature of chromatographic separations on Sephadex.