Site-specific PEGylation of hemoglobin at Cys-93(beta): correlation between the colligative properties of the PEGylated protein and the length of the conjugated PEG chain

Increasing the molecular size of acellular hemoglobin (Hb) has been proposed as an approach to reduce its undesirable vasoactive properties. The finding that bovine Hb surface decorated with about 10 copies of PEG5K per tetramer is vasoactive provides support for this concept. The PEGylated bovine Hb has a strikingly larger molecular radius than HbA (1). The colligative properties of the PEGylated bovine Hb are distinct from those of HbA and even polymerized Hb, suggesting a role for the colligative properties of PEGylated Hb in neutralizing the vasoactivity of acellular Hb. To correlate the colligative properties of surface-decorated Hb with the mass of the PEG attached and also its vasoactivity, we have developed a new maleimide-based protocol for the site-specific conjugation of PEG to Hb, taking advantage of the unusually high reactivity of Cys-93(beta) of oxy HbA and the high reactivity of the maleimide to protein thiols. PEG chains of 5, 10, and 20 kDa have been functionalized at one of their hydroxyl groups with a maleidophenyl moiety through a carbamate linkage and used to conjugate the PEG chains at the beta-93 Cys of HbA to generate PEGylated Hbs carrying two copies of PEG (of varying chain length) per tetramer. Homogeneous preparations of (SP-PEG5K)(2)-HbA, (SP-PEG10K)(2)-HbA, and (SP-PEG20K)(2)-HbA have been isolated by ion exchange chromatography. The oxygen affinity of Hb is increased slightly on PEGylation, but the length of the PEG-chain had very little additional influence on the O(2) affinity. Both the hydrodynamic volume and the molecular radius of the Hb increased on surface decoration with PEG and exhibited a linear correlation with the mass of the PEG chain attached. On the other hand, both the viscosity and the colloidal osmotic pressure (COP) of the PEGylated Hbs exhibited an exponential increase with the increase in PEG chain length. In contrast to the molecular volume, viscosity, and COP, the vasoactivity of the PEGylated Hbs was not a direct correlate of the PEG chain length. There appeared to be a threshold for the PEG chain length beyond which the protection against vasoactivity is decreased. These results suggest that the modulation of the vasoactivity of Hb by PEG could be a function of the surface shielding afforded by the PEG, the latter being a function of the disposition of the PEG chain on the protein surface, which in turn is a function of the length of the PEG chain. Thus, the biochemically homogeneous PEGylated Hbs described in the present study, surface-decorated with PEG chains of appropriate size, could serve as potential candidates for Hb-based oxygen carriers.     

Osmotic flow in membrane pores of molecular size

Water transfer by osmosis through pores occurs either by viscous flow or diffusion depending on whether the driving osmolyte is able to enter the pore. Analysis of osmotic permeabilities (P _os )measured in antibiotic and cellular pore systems supports this distinction, showing that P _os approaches either the viscous value (P _f ) or the diffusive value (P _d )depending on the size of the osmolyte in relation to the pore radius. Macroscopic hydrodynamics and diffusion theory, when used with drag and steric coefficients within an appropriate osmotic model, apply with remarkable accuracy to channels of molecular dimensions where water molecules cannot pass each other, without the need to postulate any special flow regimes. It becomes apparent that the true viscous to diffusive flow ratio, P _f /P _d , can be separated from the effects of tracer filing by osmotic measurements alone. It does not monotonically decrease with the pore radius but rises steeply at the smaller radii which would apply to pores in cell membranes. Consequently, the application of the theory to osmotic and diffusive flow data for the red cell predicts a pore radius of 0.2 nm in agreement with other recent measurements on isolated components of the system, showing that the viscous-diffusive distinction applies even in molecular pores.     

Aggregation of human RBC in binary dextran-PEG polymer mixtures

The present study was prompted by prior reports suggesting that small polymers can affect RBC aggregation induced by large macromolecules. Human RBC were washed and re-suspended in isotonic buffer solutions containing 72.5 kDa dextran (DEX 70, 2 g/dl) or 35.0 kDa poly(ethylene glycol) (PEG 35, 0.35 g/dl), then tested for aggregation in these solutions with and without various concentrations of smaller dextrans (10.5 and 18.1 kDa) or PEGs (3.35, 7.5 and 10.0 kDa). RBC aggregation was measured at stasis and at low shear using a photometric cone-plate system (Myrenne Aggregometer) and RBC electrophoretic mobility (EPM) in the various polymer solutions via an automated system (E4, HaSoTec GmbH). Our results indicate: (1) a heterogeneous effect with greater reduction of aggregation for small PEGs added to DEX 70 or for small dextrans added to PEG 35 than for small polymers of the same species; (2) for cells in DEX 70, aggregation decreased with increasing molecular mass and concentration of the small dextrans or PEGs; (3) for cells in PEG 35, small dextrans decreased aggregation with increasing molecular mass and concentration, whereas small PEGs had minimal effects with a minor influence of concentration and an inverse association between molecular mass and inhibition of aggregation. RBC EPM results indicated the expected polymer depletion for cells in DEX 70 or PEG 35, and that small PEGs yielded greater EPM values than small dextrans for cells in PEG 35 whereas the opposite was true for cells in DEX 70. Interpretation of our results in terms of the depletion model for RBC aggregations appears appropriate, and our findings are consistent with the assumption that inhibition of aggregation occurs because of an increase of small molecules in the depletion region. Our results thus suggest the merit of further studies of red blood cell aggregation in binary polymer systems.     

Through pore diameter in the cell wall of Chara corallina.

Determination of pore size of the cell wall of Chara corallina has been made by using the polyethylene glycol (PEG) series as the hydrophilic probing molecules. In these experiments, the polydispersity of commercial preparation of PEGs was allowed for. The mass share (gamma(p)) of polyethylene glycol preparation fractions penetrating through the pores was determined using a cellular 'ghost', i.e. fragments of internodal cell walls filled with a 25% solution of non-penetrating PEG 6000 and tied up at the ends. In water, such a 'ghost' developed a hydrostatic pressure close to the cell turgor which persisted for several days. The determination of gamma(p), for polydisperse polyethylene glycols with different average molecular mass (M) was calculated from the degree of pressure restoration after water was replaced by a 5-10% polymer solution. Pressure was recorded using a dynamometer, which measures, in the quasi-isometric mode, the force necessary for the partial compression of the 'ghost' in its small fragment. By utilizing the data on the distribution of PEG 1000, 1450, 2000, and 3350 fractions over molecular mass (M), it was found that gamma(p), for these polyethylene glycols corresponded to the upper limit of ML=800-1100 D (hydrodynamic radius of molecules, r(h)=0.85-1.05 nm). Thus, the effective diameter of the pores in the cell wall of Chara did not exceed 2.1 nm.     

Prediction of the viscosity radius and the size exclusion chromatography behavior of PEGylated proteins

Size exclusion chromatography (SEC) was used to determine the viscosity radii of equivalent spheres for proteins covalently grafted with poly(ethylene glycol) (PEG). The viscosity radius of such PEGylated proteins was found to depend on the molecular weight of the native protein and the total weight of grafted PEG but not on PEG molecular weight, or PEG-to-protein molar grafting ratio. Results suggest grafted PEG's form a dynamic layer over the surface of proteins. The geometry of this layer results in a surface area-to-volume ratio approximately equal to that of a randomly coiled PEG molecule of equivalent total molecular weight. Two simple methods are given to predict the viscosity radius of PEGylated proteins. Both methods accurately predicted (3% absolute error) the viscosity radii of various PEG-proteins produced using three native proteins, alpha-lactalbumin (14.2 kDa MW), beta-lactoglobulin dimer (37.4 kDa MW), and bovine serum albumin (66.7 kDa MW), three PEG reagents (2400, 5600, and 22500 MW), and molar grafting ratios of 0 to 8. Accurate viscosity radius prediction allows calculation of the distribution coefficient, K(av), for PEG-proteins in SEC. The suitability of a given SEC step for the analytical or preparative fractionation of different PEGylated protein mixtures may therefore be assessed mathematically. The methods and results offer insight to several factors related to the production, purification, and uses of PEGylated proteins.     

Transport properties of alveolar epithelium measured by molecular hetastarch absorption in isolated rat lungs.

To evaluate the transport properties of the alveolar epithelium, we instilled hetastarch (Het; 6%, 10 ml, 1 - 1 x 10(4) kDa) into the trachea of isolated rat lungs and then measured the molecular distribution of Het that entered the lung perfusate from the air space over 6 h. Het transport was driven by either diffusion or an oncotic gradient. Perfusate Het had a unique, bimodal molecular weight distribution, consisting of a narrow low-molecular-weight peak at 10-15 kDa (range, 5-46 kDa) and a broad high-molecular-weight band (range 46-2,000 kDa; highest at 288 kDa). We modeled the low-molecular-weight transport as (passive) restricted diffusion or osmotic flow through a small-pore system and the high-molecular-weight transport as passive transport through a large-pore system. The equivalent small-pore radius was 5.0 nm, with a distribution of 150 pores per alveolus. The equivalent large-pore radius was 17.0 nm, with a distribution of one pore per seven alveoli. The small-pore fluid conductivity (2 x 10(-5) ml. h(-1). cm(-2). mmHg(-1)) was 10-fold larger than that of the large-pore conductivity.     

Structure of the lysosomal neuraminidase-beta-galactosidase-carboxypeptidase multienzymic complex.

Lysosomal neuraminidase (sialidase; EC 3.2.1.18) and beta-galactosidase (EC 3.2.1.23), together with a carboxypeptidase, the so-called 'protective protein', were co-purified from the human placenta by affinity chromatography on a concanavalin A-Sepharose column followed by a thiogalactoside-agarose affinity column for beta-galactosidase. Analysis of the purified material by gel-filtration h.p.l.c. revealed three distinct molecular forms, all with high beta-galactosidase specific activity, but only the largest one expressed neuraminidase activity. Rechromatography of each individual species separately indicated that all three are in fact part of an equilibrium system (the neuraminidase-beta-galactosidase-carboxypeptidase complex or NGC-complex) and that these species undergo slow conversion into one another through dissociation and association of protomeric components. Each species was sufficiently stable for the determination of their hydrodynamic properties by gel-filtration h.p.l.c. and sedimentation velocity. The largest species had an apparent sedimentation coefficient S20.w, of 18.8 S and a Stokes' radius of 8.5 nm, giving a molecular mass of 679 kDa and a fractional ratio, f/f min, of 1.47. The latter value indicates that the macromolecule is asymmetric or highly hydrated. This large species is composed of four types of polypeptide chains of molecular mass 66 kDa (neuraminidase), 63 kDa (beta-galactosidase), 32 kDa and 20 kDa (carboxypeptidase heterodimer). The 32 kDa and 20 kDa protomers are linked together by a disulphide bridge. Glycopeptidase F digestion of the NGC-complex transformed the diffuse 66-63 kDa band on the SDS gel into two close but sharp bands at 58 and 56 kDa. The two smaller species which were separated on the h.p.l.c. column correspond to tetrameric and dimeric forms of the 66-63 kDa protomers and express exclusively beta-galactosidase activity. Treatment of the NGC-complex with increasing concentrations of guanidinium hydrochloride up to 1.5 M also resulted in dissociation of the complex into the same smaller species mentioned above plus two protomers of molecular mass around 60 and 50 kDa. A model of the largest molecular species as a hexamer of the 66-63 kDa protomers associated to five carboxypeptidase heterodimers (32 kDa and 20 kDa) is proposed     

Mechanism of hypoglycaemic action of methylenecyclopropylglycine.

Cytochrome b-245 from neutrophil plasma membranes contains two types of subunit with apparent molecular masses from gel electrophoresis in the presence of SDS of 23 kDa and 76-92 kDa. Radiation-inactivation analysis revealed a single-exponential decay process for the visible absorption of the haem chromophore in the membrane, corresponding to a molecular mass of 21 +/- 5 kDa for the haem-containing polypeptide chain. Sedimentation equilibrium of the cytochrome solubilized by the detergent Triton N101 showed that the protein was polydisperse, with a molecular mass of approx. 350 kDa for the smallest detectable species. In another detergent, n-octyl beta-O-glucopyranoside (octyl glucoside), the molecular mass of the haem-containing particle was found to be 20-30 kDa. Thus the quaternary structure of the protein breaks down in this detergent. The haem group is inferred to be attached to the smaller subunit.     

Numerical modeling of fluid flow in solid tumors

A mathematical model of interstitial fluid flow is developed, based on the application of the governing equations for fluid flow, i.e., the conservation laws for mass and momentum, to physiological systems containing solid tumors. The discretized form of the governing equations, with appropriate boundary conditions, is developed for a predefined tumor geometry. The interstitial fluid pressure and velocity are calculated using a numerical method, element based finite volume. Simulations of interstitial fluid transport in a homogeneous solid tumor demonstrate that, in a uniformly perfused tumor, i.e., one with no necrotic region, because of the interstitial pressure distribution, the distribution of drug particles is non-uniform. Pressure distribution for different values of necrotic radii is examined and two new parameters, the critical tumor radius and critical necrotic radius, are defined. Simulation results show that: 1) tumor radii have a critical size. Below this size, the maximum interstitial fluid pressure is less than what is generally considered to be effective pressure (a parameter determined by vascular pressure, plasma osmotic pressure, and interstitial osmotic pressure). Above this size, the maximum interstitial fluid pressure is equal to effective pressure. As a consequence, drugs transport to the center of smaller tumors is much easier than transport to the center of a tumor whose radius is greater than the critical tumor radius; 2) there is a critical necrotic radius, below which the interstitial fluid pressure at the tumor center is at its maximum value. If the tumor radius is greater than the critical tumor radius, this maximum pressure is equal to effective pressure. Above this critical necrotic radius, the interstitial fluid pressure at the tumor center is below effective pressure. In specific ranges of these critical sizes, drug amount and therefore therapeutic effects are higher because the opposing force, interstitial fluid pressure, is low in these ranges.     

Optimization of the in vitro packaging efficiency of bacteriophage T7 DNA: effects of neutral polymers

The in vitro DNA packaging of several DNA bacteriophages is stimulated by the presence of neutral polymers. To optimize bacteriophage T7 DNA packaging and to understand the basis for optimization, the efficiency of T7 DNA packaging has been determined at completion, as a function of the type, molecular mass, and concentration of the polymer added. When the polymer used was polyethylene glycol (PEG) of 0.2, 0.6 or 12.6 kDa, the efficiency of DNA packaging reached maximum at an intermediate concentration of polymer. The osmotic pressure (Pos) at maximum efficiency was either in, or close to, the range of colloid Pos measured for the intact host cell. The optimum Pos increased as the size of the polymer used decreased. PEG-100 (of 0.1 kDa) did not stimulate in vitro T7 DNA packaging. Dextran of 10 kDa also stimulated packaging and produced maximum efficiency at a physiological Pos. The degree of stimulation increases as DNA packaging extract concentration decreases; stimulation by as much as two to three orders of magnitude is observed. The presence of added polymer reduces fluctuations in DNA packaging efficiency caused by variability in the concentration of DNA packaging extracts. For reproducible and high efficiency packaging, the dextran was more reliable than the PEGs, possibly because the Pos of the dextran solutions is less sensitive to polymer concentration than is the Pos of PEG solutions. The optimum concentration of dextran at completion was also the optimum at all times before completion.     

Allowing for polymer polydispersity--an essential condition for determination of aqueous pore diameters in cell walls and membranes using polymers

A method of allowing for polydispersion of polyethylene glycol (PEG) preparations was developed for the use of these preparations for the osmometrical evaluation of pore diameters with aqueous pores of Chara corallina cell walls as an example. The mass share of polyethylene glycol preparation fractions gamma p penetrating through the pores was determined using cellular "shadows", fragments of internodal cell walls tied up at the ends and filled with a 25% solution of nonpenetrating PEG 6000. When immersed into water, such "shadow" acquired a turgor (hydrostatic) pressure close to the cellular pressure and persistent over long time. The determination of gamma p for polyethylene glycols with different average molecular weights Mw was performed from the degree of pressure restoration after water was replaced by a 5-10% polymer solution. The kinetics of pressure changes was recorded using a mechanotronic dynamometer, which measures, in the quasi-isometric mode, the force necessary for partial compression of the "shadow" in its small fragment. By utilizing the dependence of the overall share of fractions with molecular weights Mi < Mk on Mk (data of [1]), we found that gamma p, for these polyethylene glycols corresponds to the threshold value of Mk = 800-1100 D (hydrodynamic radius of molecules rh = 0.85-1.05 nm). Thus, the effective diameter of the pores in the cell wall of Chara does not exceed 2.1 nm. It was shown that the smoothness of the sigmoid shape of the dependence of ionic channel conductivity on the Mw value of the polymer in the media is largely due to the polydispersion of polymer preparations, particularly, to the reduction in the share of fractions penetrating the channels as Mw is increased. The method normally used to estimate pore diameters in ionic channels which ignores the dispersion of polymer preparations, results in overestimated values.     

Permeability studies on red cell membranes of dog, cat, and beef

Water permeability coefficients of dog, cat, and beef red cell membranes have been measured under an osmotic pressure gradient. The measurements employed a rapid reaction stop flow apparatus with which cell shrinking was measured under a relative osmotic pressure gradient of 1.25 to 1.64 times the isosmolar concentration. For the dog red cell the osmotic permeability coefficient is 0.36 cm⁴/(sec, osmol). The water permeability coefficient for the dog red cell under a diffusion gradient was also measured (rate constant = 0.10/msec). The ratio between the two permeabilities was used to calculate an equivalent pore radius of 5.9 A. This value agrees welt with an equivalent pore radius of 6.2 A obtained from reflection coefficients of nonelectrolyte water-soluble molecules, and is consistent with data on the permeability of the dog red cell membrane to glucose. These data provide evidence supporting the existence of equivalent pores in single biological membranes.     

Initiation and regulation of water deficit-induced abscisic acid accumulation in maize leaves and roots: cellular volume and water relations

Water deficit-induced ABA accumulation in relation to cellular water relations was investigated in maize root and leaf tissues. While polyethylene glycol (PEG) treatment led to a significant increase of ABA content in both root and leaf tissues, ethylene glycol (EG), a permeable monomer of PEG, had no effect on ABA accumulation at similar or much lower osmotic potentials. A rapid and massive accumulation of ABA in leaf tissues occurred at a specific threshold of PEG 6000 concentration, about 20% (w/v), and closely coincided with the start of the tissue weight loss and the obvious decrease of cellular osmotic potential. Pretreatment with EG lowered the cell sap osmotic potential and also lowered the capability of both root and leaf tissues to accumulate ABA in response to further air-drying or PEG treatment. When samples were dehydrated and incubated under pressure, a method to maintain high water potential and pressure potential during dehydration, ABA accumulation was similar to those dehydrated and incubated under atmospheric pressure. Such results suggest that both the absolute water potential and pressure potential per se had no direct effects on the dehydration-induced ABA accumulation. The results have provided evidence that the initiation of ABA accumulation is related to the weight loss of tissues or changes in cellular volume rather than the cell water relation parameters, and the capability of ABA accumulation can be regulated by cellular osmotic potential.     

Ion hydration in nanopores and the molecular basis of selectivity

Using a simple model, it is shown that the cost of constraining a hydrated potassium ion inside a narrow pore is smaller than the cost of constraining hydrated sodium or lithium ions in pores of radius around 1.5 A. The opposite is true for pores of radius around 2.5 A. The reason for the selectivity in the first region is that the potassium ion allows for a greater distortion of its hydration shell and can therefore maintain a better coordination, and the reason for the reverse selectivity in the second region is that the smaller ions retain their hydration shells in these pores. This is relevant to the molecular basis of ion selective channels, and since this mechanism does not depend on the molecular details of the pore, it could also operate in all sorts of nanotubes.     

Molecular weight dependence of the depletion attraction and its effects on the competitive adsorption of lung surfactant

Albumin competes with lung surfactant for the air-water interface, resulting in decreased surfactant adsorption and increased surface tension. Polyethylene glycol (PEG) and other hydrophilic polymers restore the normal rate of surfactant adsorption to the interface, which re-establishes low surface tensions on compression. PEG does so by generating an entropic depletion attraction between the surfactant aggregates and interface, reducing the energy barrier to adsorption imposed by the albumin. For a fixed composition of 10 g/L (1% wt.), surfactant adsorption increases with the 0.1 power of PEG molecular weight from 6 kDa-35 kDa as predicted by simple excluded volume models of the depletion attraction. The range of the depletion attraction for PEG with a molecular weight below 6 kDa is less than the dimensions of albumin and there is no effect on surfactant adsorption. PEG greater than 35 kDa reaches the overlap concentration at 1% wt. resulting in both decreased depletion attraction and decreased surfactant adsorption. Fluorescence images reveal that the depletion attraction causes the surfactant to break through the albumin film at the air-water interface to spread as a monolayer. During this transition, there is a coexistence of immiscible albumin and surfactant domains. Surface pressures well above the normal equilibrium surface pressure of albumin are necessary to force the albumin from the interface during film compression.     

Filtration,diffusion, and molecular sieving through porous cellulose membranes

1. A study has been made of the diffusion and filtration of a graded series of molecules (including tritium-labelled water, urea, glucose, antipyrine, sucrose, raffinose, and hemoglobin) in aqueous solution through porous cellulose membranes of three degrees of porosity. 2. Experimental results were in close agreement with predictions based on the membrane pore theory of Pappenheimer et al. (1,2). Restriction to molecular diffusion is a function of pore radius and molecular radius described by equation (11) in the text. Molecular sieving during ultrafiltration is a function of total pore area per unit path length, pore radius, molecular radius, and filtration rate given by equations (16) and (19). 3. Estimates of average pore radius made by means of this theory were considerably larger than estimates made by the method of Elford and Ferry (3) (Table II). Sources of error in the latter method are discussed and a new method of membrane calibration is proposed in which the total cross-sectional area of the pores is measured by direct diffusion of isotope-labelled water. 4. Steady-state osmotic pressures of solutions of sucrose and raffinose measured during molecular sieving through cellulose membranes were found to be close to the "ideal" osmotic pressures calculated by van't Hoff's law. Thus the present experimental data support the methods used by Pappenheimer et al. in their studies on living capillary walls as well as their theory of membrane pore permeability.     

Proteomic Analysis of Osmotic Stress-Responsive Proteins in Sugarcane Leaves

Osmotic stress-related proteins in sugarcane were identified using proteomics approach based on two-dimensional polyacrylamide gel electrophoresis (2-DE) and matrix-assisted laser desorption/ionization-time of flight mass spectrometry (MALDI-TOF-MS). Sugarcane settlings were subjected to osmotic stress in the nutrient solution containing 10% (w/v) PEG 6000 for 14 h. Total proteins were extracted from leaves, and separated by 2-DE. Four typical spots exhibited significant changes in PEG treatment compared to control, which were identified using MALDI-TOF-MS successfully. The drought inducible 22 kDa protein and Rubisco small subunit were up-regulated while isoflavone reductase-like (IRLs, related to antioxidant defense system) protein and delta chain of ATP synthase were down-regulated by the osmotic stress. Analysis of the results showed that the most differential proteins under osmotic stress were acidic, unstable and transmembrane proteins, enriched with hydrophobic amino acids such as leucine and alanine which are extremely important for structural stabilization of proteins by hydrophobic interaction. However, the drought inducible 22 kDa protein was a hydrophile and non-transmembrane protein enriched with glutamic acid. These results provide new insight into the part of regulatory mechanism of adaptations to osmotic stress through differential expression of specific proteins and implicate several previously unrecognized proteins to osmotic stress.     

Caldesmon from rabbit liver: molecular weight and length by analytical ultracentrifugation

Although smooth muscle caldesmon migrates as a 140- to 150-kDa protein during sodium dodecyl sulfate-gel electrophoresis, its molecular mass is around 93 kDa as determined by sedimentation equilibrium (P. Graceffa, C-L. A. Wang, and W. F. Stafford, 1988, J. Biol. Chem. 263, 14,196-14,202). Nonmuscle caldesmon migrates during electrophoresis with a molecular mass close to 77 kDa, about half that of the muscle isoform. However, it is controversial whether the molecular weight of nonmuscle caldesmon is the same or much less than that of the muscle protein. Therefore we have now determined the molecular mass of rabbit liver caldesmon by sedimentation equilibrium and found a value of 66 +/- 2 kDa, a value much smaller than that of muscle caldesmon. This new value of the molecular weight, together with a sedimentation coefficient of 2.49 +/- 0.02 S. yields an apparent length of 53 +/- 2 nm and a diameter of 1.7 nm for the liver protein. We previously estimated a length of 74 nm and a diameter of 1.7 nm for the muscle caldesmon. We have also determined the amino acid composition of liver caldesmon and found it to be similar to that of the muscle protein. In conclusion, muscle and nonmuscle caldesmons appear to have similar overall amino acid composition and tertiary structure with the smaller nonmuscle protein having a correspondingly smaller length. The difference in molecular weight between the two caldesmons is consistent with the nonmuscle protein lacking a central peptide of the muscle isoform, as suggested by E. H. Ball, and T. Kovala, (1988, Biochemistry 27, 6093-6098).     

Relative contribution of articular cartilage’s constitutive components to load support depending on strain rate

Cartilage is considered a biphasic material in which the solid is composed of proteoglycans and collagen. In biphasic tissue, the hydraulic pressure is believed to bear most of the load under higher strain rates and its dissipation due to fluid flow determines creep and relaxation behavior. In equilibrium, hydraulic pressure is zero and load bearing is transferred to the solid matrix. The viscoelasticity of the collagen network also contributes to its time-dependent behavior, and the osmotic pressure to load bearing in equilibrium. The aim of the present study was to determine the relative contributions of hydraulic pressure, viscoelastic collagen stress, solid matrix stiffness and osmotic pressure to load carriage in cartilage under transient and equilibrium conditions. Unconfined compression experiments were simulated using a fibril-reinforced poroviscoelastic model of articular cartilage, including water, fibrillar viscoelastic collagen and non-fibrillar charged glycosaminoglycans. The relative contributions of hydraulic and osmotic pressures and stresses in the fibrillar and non-fibrillar network were evaluated in the superficial, middle and deep zone of cartilage under five different strain rates and after relaxation. Initially upon loading, the hydraulic pressure carried most of the load in all three zones. The osmotic swelling pressure carried most of the equilibrium load. In the surface zone, where the fibers were loaded in tension, the collagen network carried 20 % of the load for all strain rates. The importance of these fibers was illustrated by artificially modifying the fiber architecture, which reduced the overall stiffness of cartilage in all conditions. In conclusion, although hydraulic pressure dominates the transient behavior during cartilage loading, due to its viscoelastic nature the superficial zone collagen fibers carry a substantial part of the load under transient conditions. This becomes increasingly important with higher strain rates. The interesting and striking new insight from this study suggests that under equilibrium conditions, the swelling pressure generated by the combination of proteoglycans and collagen reinforcement accounts cartilage stiffness for more than 90 % of the loads carried by articular cartilage. This finding is different from the common thought that load is transferred from fluid to solid and is carried by the aggregate modulus of the solid. Rather, it is transformed from hydraulic to osmotic swelling pressure. These results show the importance of considering both (viscoelastic) collagen fibers as well as swelling pressure in studies of the (transient) mechanical behavior of cartilage.