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.     

Rheology of fibrin clots. IV. Darcy constants and fiber thickness.

Measurements of small oscillatory deformations of a fibrin clot by axial motion of a rod in a closed tube reveal an anomalous mechanical loss due to permeation of fluid through the clot structure. The Darcy constant for permeation can be calculated from data at the frequency where the apparent storage and loss shear moduli are equal, without the necessity of measurements at much lower frequencies as previously employed. From the Darcy constant, the average number of fibrin monomer units (v) per cross-section of a fibrous element of the clot can be calculated; it ranges from 4 to several hundred. In the range of fibrin concentration(c) from 3 to 14 milligrams, v is approximately proportional to c-2 for clots of coarse structure and to c-0.5 for clots of fine structure.     

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.     

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.     

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.     

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.     

Rheological studies of creep and creep recovery of unligated fibrin clots: comparison of clots prepared with thrombin and ancrod

Mechanical creep and creep recovery in small shearing deformations have been studied in unligated clots formed with both thrombin and ancrod. In thrombin clots, both A binding sites (which interact with “a” sites to link monomer units within a protofibril) and B sites (which interact with “b” sites to form links between protofibrils) are exposed to enable formation of linkages; in ancrod clots, only the A sites are exposed. Fine clots (with minimal lateral aggregation of protofibrils), coarse clots (with substantial aggregation of fibril bundles), and clots of intermediate coarseness were compared. Fine thrombin clots showed less creep at short times but more creep at long times than coarse or intermediate clots and had more irrecoverable deformation relative to the initial elastic deformation. Ancrod clots had greater irrecoverable deformation than the corresponding thrombin clots, both fine and coarse. The permanent deformation in fine ancrod clots was enormous, corresponding almost to fluid character; the rate of permanent deformation was larger than that in fine thrombin clots by more than two orders of magnitude. For all types of clots, differential measurements of compliance (or its reciprocal, elastic modulus), as well as the applicability of the Boltzmann superposition principle to calculation of creep recovery, showed that the overall density of structure remained constant throughout the mechanical history; i.e., if structural elements were breaking, they were reforming at the same rate in different configurations. The possibility that the weakness of ancrod clots is attributable to partial degradation of α-chains rather than absence of Bb linkages was eliminated by comparisons of clots made with thrombin, ancrod, and ancrod plus thrombin; the last two showed identical partial degradation of α-chains (by gel electrophoresis), but the first and third had essentially identical initial elastic moduli and creep behavior. Two alternative mechanisms for irrecoverable deformation in fine clots are discussed, involving rupture of protofibrils and slippage of twisted segments, respectively.     

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.     

The molecular origins of the mechanical properties of fibrin

When normal blood circulation is compromised by damage to vessel walls, clots are formed at the site of injury. These clots prevent bleeding and support wound healing. To sustain such physiological functions, clots are remarkably extensible and elastic. Fibrin fibers provide the supporting framework of blood clots, and the properties of these fibers underlie the mechanical properties of clots. Recent studies, which examined individual fibrin fibers or cylindrical fibrin clots, have shown that the mechanical properties of fibrin depend on the mechanical properties of the individual fibrin monomers. Within the fibrin monomer, three structures could contribute to these properties: the coiled-coil connectors the folded globular nodules and the relatively unstructured αC regions. Experimental data suggest that each of these structures contributes. Here we review the recent work with a focus on the molecular origins of the remarkable biomechanical properties of fibrin clots.     

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.     

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.     

Cl- regulates the structure of the fibrin clot.

The differences between coarse and fine fibrin clots first reported by Ferry have been interpreted in terms of nonspecific ionic strength effects for nearly 50 years and have fostered the notion that fibrin polymerization is largely controlled by electrostatic forces. Here we report spectroscopic and electron microscopy studies carried out in the presence of different salts that demonstrate that this long-held interpretation needs to be modified. In fact, the differences are due entirely to the specific binding of Cl- to fibrin fibers and not to generic ionic strength or electrostatic effects. Binding of Cl- opposes the lateral aggregation of protofibrils and results in thinner fibers that are also more curved than those grown in the presence of inert anions such as F-. The effect of Cl- is pH dependent and increases at pH > 8.0, whereas fibers grown in the presence of F- remain thick over the entire pH range from 6.5 to 9.0. From the pH dependence of the Cl- effect it is suggested that the anion exerts its role by increasing the pKa of a basic group ionizing around pH 9.2. The important role of Cl- in structuring the fibrin clot also clarifies the role played by the release of fibrinopeptide B, which leads to slightly thicker fibers in the presence of Cl- but actually reduces the size of the fibers in the presence of F-. This effect becomes more evident at high, close to physiological concentrations of fibrinogen. We conclude that Cl- is a basic physiological modulator of fibrin polymerization and acts to prevent the growth of thicker, stiffer, and straighter fibers by increasing the pKa of a basic group. This discovery opens new possibilities for the design of molecules that can specifically modify the clot structure by targeting the structural domains responsible for Cl- binding to fibrin.     

Interaction of one-chain and two-chain tissue plasminogen activator with intact and plasmin-degraded fibrin

Tissue-type plasminogen activator (t-PA) plays a central role in fibrinolysis in vivo. Although it is known to bind to fibrin, the dissociation constant (Kd) and number of moles bound per mole of fibrin monomer (n) have never been measured directly. In this study, the binding of both the one-chain form and the two-chain form of recombinant, human t-PA to fibrin was measured. Although more one-chain t-PA than two-chain t-PA is bound to fibrin, the Kd's and n's were within experimental error of each other. Significantly more t-PA is bound to clots made from fibrinogen which has been digested with plasmin than to clots made from intact fibrinogen. The additional binding was shown to be due to the formation of new set(s) of binding site(s) with dissociation constants that are 2-4 orders of magnitude tighter than the binding site present on clots made from intact fibrinogen. epsilon-Aminocaproic acid was capable of competing for the loose binding site present on both intact and degraded fibrin but had little effect on the binding of t-PA to the new site(s) formed by plasmin digestion. This increase in binding caused by plasmin-mediated proteolysis of fibrin suggests a possible mechanism for a positive regulation capable of accelerating fibrinolysis.     

Soluble fibrin consists of fibrin oligomers of heterogeneous distribution

Soluble fibrin is observed in patients with intravascular coagulation and represents an intermediary product of conversion of fibrin monomers into a fibrin clot whereby the presence of fibrinogen may suppress fibrin clot formation. The interactions between fibrin and fibrinogen and the occurrence of fibrin oligomers in soluble fibrin were studied by sucrose density ultracentrifugation. Different concentrations of soluble fibrin, prepared by mixing 125I-fibrin (24 nM - 1.5 microM) with a constant concentration of 131I-fibrinogen (6 microM) were analyzed at 37 degrees C in stable linear sucrose density gradients containing a uniform concentration of unlabelled fibrinogen (6 microM) and calcium ions in order to mimic the physiological situation. At any fibrin concentration, 125I-fibrin sedimented faster than 131I-fibrinogen through 5-30% (w/v) sucrose gradients. Sedimentation rates of fibrin increased from 9 S to 23 S depending on the initial fibrin concentration. The relative amount of residual fibrin monomer not incorporated into oligomers was calculated from the sedimentation profiles. At any fibrin concentration, the portion of free monomer was always more than twofold higher for batroxobin-generated (desAA-) fibrin than for thrombin-generated (desAABB-) fibrin. Apparent association constants for desAABB-fibrin were 3-10 times higher than those for desAA-fibrin indicating a stronger interaction between monomers of the former type of fibrin. In the presence of excess fibrinogen the predominant species in soluble desAA-fibrin were monomers and dimers, whereas dimers, trimers and higher-molecular-mass oligomers were present in soluble desAABB-fibrin. Strong interactions between both types of fibrin were demonstrated from their cosedimentation, whereby the size of these copolymers were shown to be governed by the oligomer size of the desAABB-fibrin type. These results provide evidence for the occurrence of differently sized oligomers of fibrin in soluble fibrin and for the concept of a cooperative polymerization process between both types of fibrin devoid of any stable complexes between fibrin and fibrinogen.     

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.     

Plasminogen activation by tissue plasminogen activator on fibrin clots with different surface structures

Transformation of fibrinogen into fibrin with consequent formation of the fibrin clot trimeric structure is one of the final steps in the blood coagulation system. The plasminogen activation by the tissue plasminogen activator (t-PA) is one of the fibrinolysis system key reactions. The effect of different factors on transformation of plasminogen into plasmin is capable to change essentially the equilibrium between coagulation and fibrinolytic sections of haemostasis system. We have studied the plasminogen activation by tissue plasminogen activator on fibrin clots surface formed on the interface between two phases and in presence of one phase. The t-PA plasminogen activation rate on fibrin clots both with film and without it the latter has been analyzed. These data allow to assume that the changes of fibrin clot structure depend on its formations, as well as are capable to influence essentially on plasminogen activation process by means of its tissue activating agent.     

Features of the structure of fibrin clots,connected with conditions of gel formation

Fibrinogen to fibrin conversion and then fibrin clot three-dimensional network formation is one of the final steps in the coagulation system activation. Different factors, such as the environment temperature and pH, ions, so on, render an effect on the fibrin gel formation. Recently, the presence or absences of interface between two phases influence on the fibrin gel structure during its formation have been shown. Studies of fibrin gel structure peculiarities formed at different conditions (between two phases and without one phase) are demonstrated in this article. The plasmin enzymatic hydrolysis of fibrin clots both with surface film and without it was investigated. Experimental data allow to make a conclusion that the fibrin clot structure changes depend on its essential influence on the plasmin hydrolysis process of these clots.     

Formation of soluble fibrin oligomers in purified systems and in plasma.

The kinetic parameters for release of fibrinopeptide A (FPA) from human fibrinogen by thrombin are: Km = 2.3 X 10(-6)M and Vmax. = 1.1 X 10(-10)mol of FPA/s per unit of thrombin; for fibrin formation, Km is similar to that for FPA release, but, the conditions of the present study, Vmax. was approximately half of that for FPA release. The formation of fibrin polymer before the sol-gel transition was studied by gel-permeation chromatography combined with effluent analysis for fibrinogen antigen and residual FPA. Polymer formation in purified fibrinogen incubated with thrombin proceeded as a bimolecular association of exposed sites in a manner predicted by probability calculations and assuming random FPA cleavage. Each oligomer consisted of n molecules of fibrin monomer and two fibrinogen molecules, each of the latter lacking one FPA molecule, i.e. each oligomer, regardless of molecular size, retains two FPA molecules. The addition of 5 mM-CaCl2 to the reaction mixture changed the rate of polymer formation, so that dimer was no longer the prevalent oligomer; in the presence of Ca2+, the trimer was the oligomer in highest concentration. The polymers formed in the presence of calcium were similar in composition to those without, i.e. 2 mol of FPA/mol of oligomer. EDTA-treated plasma samples incubated for short periods of time, 30s or less, with thrombin ranging in concentration up to 1 N.I.H. unit/ml did not form clots during the 10-15 min period of observation until they were applied to the column, though a large proportion of the available FPA was cleaved (maximum 45%). The soluble polymers in plasma were mostly of the high-Mr variety (tetramer and greater); these high-Mr polymers contained less than 2 mol of FPA/mol of polymer, whereas dimer and trimer in plasma were similar to those in the purified systems, i.e. 2 mol of FPA/mol.     

Incorporation of thrombospondin into fibrin clots

Thrombospondin is a major platelet glycoprotein which is released from platelets during blood coagulation. We examined the interaction of thrombospondin with polymerizing fibrin. Thrombospondin, purified from human platelets and labeled with 125I, became incorporated into clots formed from both plasma and purified fibrinogen. Plasma clots contained somewhat less thrombospondin than clots formed from equivalent concentrations of fibrinogen. In plasma clots and fibrin clots formed in the presence of factor XIII, thrombospondin was cross-linked in the clot; thrombospondin in the supernatant remained largely monomeric. Cross-linking of thrombospondin by factor XIII, however, only slightly increased the amount of thrombospondin which was incorporated into the clot. In contrast, incorporation of 125I-fibronectin into clots was dependent upon cross-linking. Most of the incorporation of 125I-thrombospondin occurred during fibrin polymerization as judged by parallel studies of the incorporation of 125I-fibrinogen. The amount of thrombospondin incorporated into a clot was directly related to thrombospondin concentration and was only weakly dependent on fibrinogen concentration. Incorporation was not saturated at thrombospondin:fibrin (mol/mol) ratios as high as 2/1. Thrombospondin, however, modified the final structure of fibrin clots in a concentration-dependent manner as monitored by opacity. When tryptic digests of 125I-thrombospondin were studied, the 270-kilodalton core became incorporated into fibrin whereas the 30-kilodalton heparin binding fragment was excluded. These results indicate that thrombospondin specifically co-polymerizes with fibrin during blood coagulation and may be an important modulator of clot structure.