Stress relaxation in fine fibrin films: Comparison of films prepared with thrombin and ancrod

Measurements of stress relaxation in uniaxial extension have been made on fibrin film prepared from fine bovine fibrin clots (i.e., clots in which there is minimal lateral aggregation of protofibrils), both ligated and unligated, and polymerized with both thrombin and ancrod, plasticized with either aqueous buffer or glycerol. The stress 100 s after imposition of strain was approximately proportional to In λ, where λ is the stretch ratio. Ligated thrombin films showed comparatively little relaxation over a period of one day and almost complete recovery after release of stress. In unligated thrombin films, there was substantial relaxation in two stages, as previously observed for coarse films, and substantial irrecoverable deformation. The extent of relaxation and the proportion of strain that was irrecoverable increased with the magnitude of the strain. In ancrod films (unligated), there was much more relaxation (stress decaying by as much as a factor of 10) and much more irrecoverable deformation (about 70% of the initial deformation); these results did not depend on the magnitude of the strain. When an ancrod film was released after relaxation and submitted to a second stretch, the extent of the second relaxation was much less. These observations are discussed in relation to the structure of fine films and possible mechanisms for relaxation and irrecoverable deformation.     

Rheology of fibrin clots: III. Shear creep and creep recovery of fine ligated and coarse unligated clots

Creep and creep recovery of human fibrin clots in small shearing deformations have been investigated over a time scale from 24 to 10⁴ s. Coarse, unligated dots and fine dots ligated by fibrinoligase in the presence of calcium ions were studied to suppllement previous data on coarse ligated and fine unligated clots. Stress was found to be proportional to strain up to at least a maximum shear strain (in torsion geometry) of 2.6%. The initial modulus (25 s after imposition of stress) is proportional to approximately the 1.5 power of concentration for fine ligated and coarse unligated clots. For fine unligated clots, there is comparatively little creep subsequent to the initial deformation; ligation (in this case involving mostly the γ chains) reduces the creep to nearly zero. For coarse unligated dots, there is substantially more creep under constant stress, and creep recovery is not complete. legation (in this casa involving both γ and α chains) largely suppresses the creep and causes the recovery to be complete. If the structure is fully formed before creep begins, tests of creep recovery by the Boltzmann superposition principle show adherence to linear viscoelastic behavior for all four clot types. Otherwise, the Boltzmann test fails and the recovery is much less than calculated. For fine ligated clots, the observed recovery agrees well with that calculated on the basis of a dual structure model in which an additional independent structure is built up in the deformed state, so that the state of ease after removal of stress is a balance between two structures deformed in opposite senses, it is postulated that the coherence and elastic modulus of the fine ligated dot are largely due to steric blocking of long protofibrils with a high flexural stiffness. In the coarse clot, it is proposed that the structure involves extensive branching of thick bundles of protofibrils, which become permanently secured by the ligation of the α chains of the fibrin.     

Modification of shear modulus and creep compliance of fibrin clots by fibronectin

Shear moduli and creep compliances have been measured for four types of clots of human fibrin (about 7 $\text{mg}\text{ml}$) clotted with and without human plasma fibronectin (usually 1.2 $\text{mg}\text{ml}$). Fine clots (with little lateral aggregation of the fibrin protofibrils) were formed at pH 8.5, ionic strength 0.45 ; coarse clots (with substantial lateral aggregation) were formed at pH 7.5, ionic strength 0.15; in both cases with and without ligation by fibrinougase. In fine clots, the addition of fibronectin without ligation scarcely affected the shear modulus; with ligation, the modulus was decreased by a factor of 0.48. In coarse clots, the shear modulus was increased by addition of fibronectin. The increase was by a factor of 2.0 without ligation and by a factor of 2.4 with ligation. Creep and creep recovery in clots formed with and without fibronectin were similar except for the scale factor represented by the change in modulus.     

Rheology of fibrin clots. v. shear modulus,creep, and creep recovery of fine unligated clots

Creep and creep recovery in small shearing deformations have been studied in fibrin clots at pH 8.5 and ionic strength 0.45, where the fine, transparent clot is formed with very little lateral aggregation of protofibrils. The initial shear modulus G₁ was measured 25 s after deformation on clots aged long enough for complete development of structure. For both human and bovine fibrin, the data were approximately described by log G₁ = 1.45 + 1.90 log c, where c is concentration in $\text{g}\text{l}$ and G₁ is in $\text{dyn}\text{cm}{}^2$, over a range of c from 4 to 13 $\text{g}\text{l}$. For bovine clots with completely developed structure, creep and creep recovery showed substantial irrecoverable deformation but the differential modulus G_Δ measured at intervals agreed with G₁ and did not change during the course of the experiment; it also agreed with the value calculated from the initial recovery after removal of stress. Moreover, several tests showed that the course of recovery conformed closely to the Boltzmann superposition principle. Thus the irrecoverable strain was associated with a structural rearrangement which caused no permanent damage. The irrecoverable deformation relative to the initial deformation was proportional to the elapsed time during creep in the early stages with a proportionality constant that decreased somewhat with increasing clot age prior to imposition of stress; it corresponded to a pseudo-viscosity of the order of 10⁷ poise. However, the irrecoverable deformation does not represent viscous flow and appears to approach a limiting value at long times. Experiments on clots without completely developed structure, i.e., with imposition of stress at an earlier clot age, showed an increase in the differential modulus G_Δ during creep. The irrecoverable deformation was greater and a portion of it could be attributed to the balance between two structures formed in the unstrained and strained states. However, unlike the case of ligated clots strained before complete development of structure, where the irrecoverable deformation is entirely due to a two-structure balance, there is also a contribution from structural rearrangement. Experiments with reverse creep and creep recovery showed that the structural rearrangement is symmetrical with respect to direction of deformation. The interpretation of these results in terms of clot structure and internal motions of protofibrils is discussed.     

Electron microscopy of fine fibrin clots and fine and coarse fibrin films: Observations of fibers in cross-section and in deformed states

Fine fibrin clots and coarse and fine fibrin films (both ligated and unligated), formed by shrinkage of clots in one dimension, were examined by electron microscopy. Specimens of clots were prepared by critical point drying and by embedding and sectioning; specimens of films were prepared by embedding and sectioning only. In the fine clots, network junctions appeared to be formed by fiber segments in which two or more protofibrils were gently twisted around each other for distances of the order of 200 nm and then diverged to give trifunctional branch points. This topology appeared to be preserved in the fine films. It is proposed that the strength of the junctions is primarily provided by the twisting topology, though reinforced by non-covalent bonding involving the B sites uncovered by thrombin. In coarse films, bundles of protofibrils, lying primarily in the film plane, had diameters of 40 to 200 nm and were gently twisted around each other to form thicker cables. Uniaxial stretching, up to 100%, of either fine or coarse film before fixing caused suprisingly extensive orientation of the protofibrils or bundles. However, random orientation was recovered if a stretched ligated film was allowed to retract to its original dimensions before fixing. In a stretched coarse film sectioned perpendicular to the stretch direction, fiber bundles could be seen in cross-section; these were roughly circular with scalloped edges. The changes with stretching and recovery are discussed in relation to possible mechanisms of deformation and elastic energy storage.     

Interaction of the fibrinogen-binding tetrapeptide Gly-Pro-Arg-Pro with fine clots and oligomers of alpha-fibrin; comparisons with alpha beta-fibrin

The tetrapeptide Gly-Pro-Arg-Pro(GPRP) was introduced by diffusion into fine unligated clots formed from human fibrinogen at pH 8.5 and ionic strength 0.45 by batroxobin (αβ-fibrin) and by thrombin (α-fibrin). The α-fibrin clots were essentially liquefied at GPRP concentrations above 1 mM and αβ-fibrin clots above 15 mM, and the degree of polymerization of the resulting oligomers decreased progressively with increasing GPRP concentration as shown by γ-γ ligation with factor XIIIa and subsequent gel electrophoresis. Much smaller concentrations of GPRP, when introduced into unligated clots by diffusion, were sufficient to modify their mechanical properties profoundly. The shear modulus of elasticity G₂₅ measured 25 s after imposition of stress fell, for example, by a factor of 0.4 at 0.1 mM GPRP in α-fibrin and at 1.1 mM in αβ-fibrin. The rate of shear creep under constant stress and the proportion of irrecoverable deformation also increased enormously. This behavior, and the corresponding decrease in steady flow viscosity, may be interpreted in terms of competition of GPRP with A sites on the E domains of fibrin monomers for bidning to “a” sites on the D domains, resulting in a moderate increase with increasing GPRP concentration of the average proportion of severed network strands and an enormous increase in the rate at which all strands dissociate and reassociate. Reassociation of severed strands in new configurations is a necessary corollary since the differential modulus or compliance remains constant during creep and creep recovery. The greater susceptibility of α-fibrin clots to interaction with GPRP is attributed to stabilization of contacts between monomer units by Bb associations in αβ-fibrin. Ligated clots, with or without GPRP, exhibited essentially no time-dependent creep and no irrecoverable deformation, corresponding to an absence of any severance of network strands.     

Gel formation by fibrin oligomers without addition of monomers

Soluble fibrin oligomers were formed by reacting fibrinogen with thrombin under fine clotting conditions where the action of thrombin is the rate-determining step for polymerization, and by inhibiting the reaction shortly before gelation. Oligomeric fibrin was separated from unreacted fibrinogen and small oligomers by gel permeation chromatography. Electron microscopy revealed that the largest soluble fibrin oligomers resemble the protofibrils present in fine clots, but are somewhat shorter and entirely lack the twisted, trifunctional junctions that contribute to the elastic properties of fine clots. When thrombin was added to the soluble fibrin oligomers, polymerization resumed and clots were formed at a more rapid rate than from fibrinogen at the same concentration and resulted in a less-opaque clot under coarse clotting conditions. The results confirm a prediction of a theory for the polymerization of fibrin and provide additional evidence that the final state of a coarse fibrin clot depends on the mobility of protofibrils during its formation.     

Interaction of fibrinogen-binding tetrapeptides with fibrin oligomers and fine fibrin clots

The polymerization of fibrin, at pH 8.5 and ionic strength 0.45, and under conditions where the action of thrombin on fibrinogen was the rate-determining step, was interrupted by inactivating thrombin with p-nitrophenyl-p′-guanidinobenzoate (NPGB). Addition of the tetrapeptide Gly-Pro-Arg-Pro (GPRP) partially dissociated the fibrin oligomers as shown by subsequent ligation with Factor XIIIa and calcium ion followed by denaturation and gel electrophoresis; polyacrylamide gel electrophoresis with reduction showed a decrease in the proportion of γ-γ ligation compared with controls untreated by GPRP, and agarose gel electrophoresis showed a shift in the distribution of oligomer sizes. The dissociation was accomplished within 15 min and its extent was consistent with establishment of an equilibrium in which two molecules of GPRP react to sever an oligomer. When GPRP was introduced into fine unligated fibrin clots by diffusion, there was some dissociation as shown by differences in the degree of γ-γ ligation after treatment by Factor XIIIa; but the action of GPRP was much slower and less complete than on soluble oligomers. However, even a small amount of dissociation affected the mechanical properties of fine clots profoundly. The shear modulus (measured 25 s after application of stress) decreased progressively with increasing concentration of GPRP introduced by diffusion. The rate of shear creep under constant stress and the proportion of irrecoverable deformation also increased enormously. If the steadystate creep rate is interpreted in terms of an effective viscosity, the latter is decreased by up to three orders of magnitude by the presence of GPRP. In terms of transient network theories of viscoelasticity, the average lifetime of a network strand is greatly diminished. However, the total density of strands remains constant during creep and creep recovery as shown by constancy of the differential modulus or compliance. Removal of GPRP by diffusion only partially restores the original shear modulus and creep behavior of the original clot. Some limited data on the effect of the tetrapeptide Gly-His-Arg-Pro are also reported.     

Small-angle X-ray scattering studies of fibrin film: comparisons of fine and coarse films prepared with thrombin and ancrod

Measurements of small-angle x-ray scattering have been made on films prepared from fine and coarse (i.e., formed at high and low, respectively, pH and ionic strength) clots of bovine fibrin by osmotic shrinkage or compression in one dimension. Intensity profiles were obtained with pinhole geometry on films stretched up to a stretch ratio of 1.43. In unstretched coarse films, repeat spacings were seen at about 245, 120, and 77-80 A. These peaks can probably be identified with the first, second, and third orders of the well-known fibrin repeat of 225 A. In unstretched fine films, only the 77-80 A spacing was seen. In this case, the first two orders may be weak because the half-staggered arrangement of monomer units giving rise to the 225 A reflection is not reinforced by lateral aggregation of protofibrils; the third order may be strong since the molecular subdomains appear to divide the repeat roughly into thirds. After stretching, the 77-80 A spacing persisted in the meridional direction but almost disappeared in the equatorial. Experiments on unstretched films prepared with ancrod substituted for thrombin gave similar results.     

Clots of beta-fibrin. Viscoelastic properties, temperature dependence of elasticity, and interaction with fibrinogen-binding tetrapeptides.

Clots of human beta-fibrin, in which only (or predominantly) the B fibrinopeptide is released, were formed at 14 degrees C by copperhead venom procoagulant enzyme (CVE or venzyme), at pH 8.5, ionic strength 0.45. The shear modulus of elasticity increased slowly and after several days attained a constant value, which was lower than those of alpha-fibrin or alpha beta-fibrin under the same conditions. Before studying the temperature dependence of elasticity, the CVE was then inhibited by introducing phenyl methyl sulfonyl chloride (PMSF) by diffusion. With increasing temperature, the modulus decreased progressively from 5 degrees C to nearly zero at 35 degrees and was essentially reversible with temperature change; recovery of elasticity after change from 34.5 degrees to 14 degrees required approximately 2 d but was considerably faster than the initial buildup of elasticity by CVE at 14 degrees. Creep and creep recovery measurements on unligated clots showed creep rates and irrecoverable deformation that were similar in magnitude to those of alpha-fibrin clots formed with batroxobin and much larger than those of alpha beta-fibrin clots formed with thrombin, under the same conditions. During creep and creep recovery, the differential modulus or compliance remained constant, showing that there was no permanent structural damage, and if network strands are severed in slow flow, they must rejoin in new configurations.(ABSTRACT TRUNCATED AT 250 WORDS)     

Ligation of fibrinogen by factor XIIIa with dithiothreitol: mechanical properties of ligated fibrinogen gels

Human fibrinogen (concentration 8.4 mg/mL) was ligated (cross-linked) with factor XIIIa and dithiothreitol (DTT) at pH 8.5, ionic strength 0.45. With 7.5 μg/mL of factor XIIIa alone, there was almost no γ-γ ligation, but with 2 mM DTT added, oligomers appeared, and γ-γ and Aα-Aα ligation was nearly complete after 3 days. At 38 μg/mL of factor XIIIa, some γ-γ and Aα-Aα ligation occurred even without DTT. For fibrinogen concentrations of 4.0 and 8.4 mg/mL, 38 μ/mL factor XIIIa, 2.0 mM DTT, clot-like gels formed and the shear modulus of elasticity increased slowly over several days to a constant value. The final modulus was similar in magnitude to those of ligated clots of α-fibrin (clotted by thrombin) and α-fibrin (clotted by batroxobin) under the same conditions. However, the opacity was somewhat higher; whereas in fine fibrin clots there is minimal lateral association of the protofibrils, in fibrinogen gels at the same pH and ionic strength the protofibrils (which are presumably single chains of fibrinogen monomers joined end to end at their D domains) are evidently associated in bundles (although not to the degree seen in coarse fibrin clots). Creep and creep recovery measurements showed almost perfect elastic behavior, with essentially no creep under stress and complete recovery after removal of stress. The modulus was scarcely affected by introduction of lithium bromide by diffusion to a concentration of 0.6M, which in unligated fibrin clots causes substantial softening. Whereas in fine fibrin clots (both αβ-fibrin and α-fibrin) factor XIIIa causes only γ-γ ligation, addition of 2 mM DTT produced some α-α ligation in these also.     

Protofibrin clots induced by calcium and zinc

During the course of studies with fibrin protofibrils, produced by adding hirudin to thrombin-activated fibrinogen prior to the onset of gelation, turbid clots were observed to be generated merely by adding Ca(II) or Zn(II) to protofibrils. The rate of gelation (CT) and turbidity of the “protofibrin” clots increases with cation levels in a concentration-dependent manner, with Zn(II) much more potent than Ca(II). For example, 50 μM Zn(II) generated a more turbid protofibrin clot than 0.5 mM Ca(II). In combination, levels of Zn(II) and Ca(II), which individually have no effect, induce protofibril gelation. The generation of protofibrin clots by Zn(II) is decreased at increasing ionic strength. Apparently, the underlying electrostatic forces that bind the monomers in fibrin and protofibrin gels are similar. SEM micrographs show that Ca(II)- or Zn(II)-induced protofibrin clots (600–1500Å thick) are essentially indistinguishable from those formed directly from fibrinogen and thrombin with divalent cation. The protofibrin fibers induced by the cations are thicker than the fibers formed directly from fibrinogen and thrombin in the absence of divalent cation. Branching appears brought about the the divalent cation-sensitive lateral association of different protofibril strands. These findings describe simple experimental methods for separately studying the early and late stages of fibrin gelation.     

Rheology of fibrin clots. I. Dynamic viscoelastic properties and fluid permeation

The storage and loss shear moduli (G', G″) of human fibrin clots have been measured in small oscillating deformations over a frequency range of 0.01 to 160 Hz with the modified Birnboim transducer apparatus. Most clots were prepared by the action of thrombin on purified fibrinogen, under various conditions of pH and ionic strength to produce networks ranging from coarse to fine structure; some were liaated by fibrinoligase. The fine, unligated clot showed very little mechanical loss or frequency dependence of G' over the experimental frequency range, though loss mechanisms evidently appear at higher frequencies; G' was proportional to the 1.5 power of fibrin concentration. The coarse, unligated clot showed a slight increase of G' with frequency, reflecting some relaxation mechanisms with time constants whose reciprocals lie in the experimental frequency range. Ligation did not greatly affect the magnitude of G'. However, clots prepared by dilution of solutions of fibrin monomer in 1 M sodium bromide had smaller moduli by a factor of ten than corresponding clots prepared by the action of thrombin of fibrinogen. Oscillatory measurements in the Birnboim apparatus with closed-end (annular pumping) geometry revealed a low-frequency anomaly which was shown to be due to permeation of fluid through the clot structure, and from these measurements the Darcy constants for coarse clots were calculated. From the Darcy constants, the average thicknesses of the fibrous elements of the structures were estimated to be from 300 to 700 A.     

Identification of fibrin oligomers in sonicated fibrin clots

Clots of bovine fibrin, with both coarse and fine structure, and ligated to different extents by fibrinoligase, have been broken up by ultrasonic agitation and the sonicates have been examined by ultracentrifugal sedimentation. Sonication is followed by gross aggregation of the fragments unless guanidine hydrochloride is introduced (order of 1 M). In that case, sonicates of gamma-ligated fine clots contain two species whose sedimentation coefficients correspond to fibrin monomer and an oligomer with twice the monomer cross-section area and at least 20 monomer units, presumably with the structure of lateral dimerization with staggered overlapping. If the gamma ligation is incomplete, shorter oligomers are identified. The monomer and oligomer with degree of polymerization greater than 20 appear also in sonicates of coarse clots, but in smaller amounts, the principal product consisting of larger aggregates. The implications of these results with respect to metastability of the fine clot and the pattern of polymerization are discussed.     

Effects of semi-dilute actin solutions on the mobility of fibrin protofibrils during clot formation

Low concentrations of actin filaments (F-actin) inhibit the rate and extent of turbidity developed during polymerization of purified fibrinogen by thrombin. Actin incorporates into the fibrin clot in a concentration-dependent manner that does not reach saturation, indicating nonspecific trapping of actin filaments in the fibrin network. Actin does not retard activation of fibrinogen by thrombin, but rather the alignment of fibrin protofibrils into bundles which constitute the coarse clot. In contrast, equivalent F-actin concentrations have little or no effect on the turbidity of plasma clots. The difference is attributed to the presence of a plasma protein, gelsolin, that severs actin filaments. Purified gelsolin greatly reduces the effect of F-actin on the turbidity of a pure fibrin clot and decreases the fraction of actin incorporated by the clot. A calculation of the extent to which the gelsolin concentrations used in these experiments reduce the fraction of actin filaments which are long enough to impede each other's rotational diffusion indicates that it is the overlapping actin filaments which retard the association of fibrin protofibrils. The findings suggest that one role for the F-actin depolymerizing and particularly actin severing activities in blood is to prevent actin filaments released by tissue injury from interfering with the formation of coarse fibrin clots.     

The elastic modulus of fibrin clots and fibrinogen gels: the effect of fibronectin and dithiothreitol

The elastic modulus (G') of factor XIIIa induced fibrinogen gels was found to be substantially lower than the G' of fibrin gels that were formed by clotting fibrinogen with thrombin. The addition of fibronectin and/or the reducing reagent dithiothreitol (DTT) to the factor XIIIa coagulation mixture led to the formation of a weaker gel structure, while the rigidity of thrombin induced clots was not appreciably affected by the inclusion of the DTT but increased somewhat in the presence of fibronectin. The reasons for the differing clot rigidities are discussed in terms of biochemical mechanisms.     

Nano-scale simulation based study of creep behavior of bimodal nanocrystalline face centered cubic metal

In this paper, the creep behavior of nanocrystalline Ni having bimodal grain structure is investigated using molecular dynamics simulation. Analysis of structural evolution during the creep process has also been performed. It is observed that an increase in size of coarse grain causes improvement in creep properties of bimodal nanocrystalline Ni. Influence of bimodality (i.e., size difference between coarse and fine grains) on creep properties are found to be reduced with increasing creep temperature. The dislocation density is observed to decrease exponentially with progress of creep deformation. Grain boundary diffusion controlled creep mechanism is found to be dominant at the primary creep region and the initial part of the secondary creep region. After that shear diffusion transformation mechanism is found to be significantly responsible for deformation as bimodal nanocrystalline Ni transforms to amorphous structure with further progress of the creep process. The presence of <0, 2, 8, 5>, <0, 2, 8, 2 >, and <0, 1, 10, 2 > distorted icosahedra has a significant influence on creep rate in the tertiary creep regime according to Voronoi cluster analysis.     

Nonlinear viscoelasticity and the thrombelastograph: 1. Studies on bovine plasma clots

To study the possible role of nonlinear viscoelastic effects in the thrombelastograph (TEG), clotting of bovine plasma was studied by both thrombelastography and with a controlled strain rheometer. Clot rheology is dominated by elastic effects at frequencies of interest. There is a well-defined regime of linear elasticity for strains less than around 2%, while at larger strains the clots show significant strain hardening. Oscillatory shear applied during clotting has little effect on the resulting clot provided that the strain is less than 2%, but leads to substantial weakening of clots formed at larger strains. The TEG operates within the regime of nonlinear elasticity, significantly obscuring the interpretation of TEG amplitude in terms of an elastic modulus. Comparing the results of standard TEG experiments with those conducted with a modified TEG, having no oscillation during clotting, shows that deformation during standard thrombelastography leads to weaker clots than are produced under quiescent conditions.     

Platelet factor 4 (CXCL4) seals blood clots by altering the structure of fibrin

Platelet factor-4 (PF4/CXCL4) is an orphan chemokine released in large quantities in the vicinity of growing blood clots. Coagulation of plasma supplemented with a matching amount of PF4 results in a translucent jelly-like clot. Saturating amounts of PF4 reduce the porosity of the fibrin network 4.4-fold and decrease the values of the elastic and loss moduli by 31- and 59-fold, respectively. PF4 alters neither the cleavage of fibrinogen by thrombin nor the cross-linking of protofibrils by activated factor XIII but binds to fibrin and dramatically transforms the structure of the ensuing network. Scanning electron microscopy showed that PF4 gives rise to a previously unreported pattern of polymerization where fibrin assembles to form a sealed network. The subunits constituting PF4 form a tetrahedron having at its corners a RPRH motif that mimics (in reverse orientation) the Gly-His-Arg-Pro-amide peptides that co-crystallize with fibrin. Molecular modeling showed that PF4 could be docked to fibrin with remarkable complementarities and absence of steric clashes, allowing the assembly of irregular polymers. Consistent with this hypothesis, as little as 50 microm the QVRPRHIT peptide derived from PF4 affects the polymerization of fibrin.