Kinetics of formation of fibrin oligomers. II. Size distributions of ligated oligomers

Human fibrinogen was treated with thrombin in the presence of fibrinoligase (Factor XIIIa) and calcium ion at pH 8.5, ionic strength 0.45, and the ensuing polymerization was interrupted at various time intervals (t) both before and after the clotting time (t_c) by solubilization with a solution of sodium dodecylsulfate and urea. Aliquots of the solubilized protein were subjected to gel electrophoresis on polyacrylamide gels after disulfide reduction by dithiothreitol and on agarose gels without reduction. The degree of γ-γ ligation was determined from the former and the size distribution of ligated oligomers, for degree of polymerization x from 1 to 10, from the latter. In some experiments, thrombin was inhibited, after partial polymerization, by p-nitrophenyl-p′-guanidinobenzoate. From these, it was concluded that for thrombin concentration ?0.013 units/mL and fibrinoligase ?30 mg/L, oligomer assembly is rapid compared with peptide A release and ligation is rapid compared with assembly. Under these conditions, the theory of the first paper of this series describes rather well the time dependences of the degree of γ-γ ligation, the weight fractions of monomer and small oligomers, and the number- and weight-average degrees of polymerization after solubilization of the staggered overlapped assemblies, each of which splits to give two strands of end-to-end ligated oligomers. The theory assumes that the second A peptide is released by thrombin more rapidly than the first by a factor q, which, from the experimental data, is determined to be 16. The subsequent assembly into staggered overlapped oligomers follows the statistics of linear polycondesation taking into account the presence of both difunctional and monofunctional combining units. For higher thrombin or lower fibrinoligase concentrations, ligation fails to keep pace with oligomer assembly, and the size distributions after solubilization show a higher proportion of very small and a lower proportion of larger ligated oligomers, owing to separation of the staggered overlapped assemblies into smaller fragments.     

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.     

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.     

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.     

Kinetics of formation of fibrin oligomers. I. Theory

The course of formation of fibrin oligomers is treated theoretically for the condition that self-assembly of fibrin monomers is rapid compared with the loss of A peptides by the enzymatic action of thrombin. The rate constant for removal of the second A peptide is taken to be larger than that for the first by an arbitrary factor q; the association of activated A sites with their complementary a sites is assumed to be random and independent of oligomer size. Two types of oligomers are considered: noncovalently bonded protofibrils formed by the staggered overlap of thrombin-activated monomers and covalently bonded linear oligomers formed by factor XIIIa-mediated end-to-end ligation of adjacent monomers within protofibrils. Oligomers of the first type, if ligated, are dissociated to oligomers of the second type by solubilization in SDS–urea. Theoretical curves are presented for x _w and x ′_w (weight-average degree of polymerization of staggered overlap and linear ligated oligomers, respectively) and for the weight fractions of monomer, dimer, and decamer of both ligated and unligated species as functions of y, the fraction of A peptide removed; and also for w_x and w′_x, the weight fractions of x-mer of the respective oligomer types, as a function of x at y = 0.5. With increasing q, the maximum w_x or w′_x that a low oligomer will reach during the reaction decreases and the size distribution is broadened toward larger oligomers. Comparison with experiment is made in a companion paper.     

Investigating thrombin-loaded fibrin in whole blood clot microfluidic assay via fluorogenic peptide

During clotting under flow, thrombin rapidly generates fibrin, whereas fibrin potently sequesters thrombin. This co-regulation was studied using microfluidic whole blood clotting on collagen/tissue factor, followed by buffer wash, and a start/stop cycling flow assay using the thrombin fluorogenic substrate, Boc-Val-Pro-Arg-AMC. After 3 min of clotting (100 s^?1) and 5 min of buffer wash, non-elutable thrombin activity was easily detected during cycles of flow cessation. Non-elutable thrombin was similarly detected in plasma clots or arterial whole blood clots (1000 s^?1). This thrombin activity was ablated by Phe-Pro-Arg-chloromethylketone (PPACK), apixaban, or Gly-Pro-Arg-Pro to inhibit fibrin. Reaction-diffusion simulations predicted 108 nM thrombin within the clot. Heparin addition to the start/stop assay had little effect on fibrin-bound thrombin, whereas addition of heparin-antithrombin (AT) required over 6 min to inhibit the thrombin, indicating a substantial diffusion limitation. In contrast, heparin-AT rapidly inhibited thrombin within microfluidic plasma clots, indicating marked differences in fibrin structure and functionality between plasma clots and whole blood clots. Addition of GPVI-Fab to blood before venous or arterial clotting (200 or 1000 s^?1) markedly reduced fibrin-bound thrombin, whereas GPVI-Fab addition after 90 s of clotting had no effect. Perfusion of AF647-fibrinogen over washed fluorescein isothiocyanate (FITC)-fibrin clots resulted in an intense red layer around, but not within, the original FITC-fibrin. Similarly, introduction of plasma/AF647-fibrinogen generated substantial red fibrin masses that did not penetrate the original green clots, demonstrating that fibrin cannot be re-clotted with fibrinogen. Overall, thrombin within fibrin is non-elutable, easily accessed by peptides, slowly accessed by average-sized proteins (heparin/AT), and not accessible to fresh fibrinogen.     

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.     

Specificity of thrombin: I. Esterolytic properties of thrombin,plasma, trypsin,and chymotrypsin with Nβ-substituted guanidino derivatives of p-nitrophenyl-p′-guanidinobenzoate

Thrombin exhibits a restricted specificity, relative to plasmin, trypsin, and chymotrypsin, for a series of derivatives of the titrant substrate p-nitrophenyl-p′-guanidinobenzoate (NPGB). Substitution on the beta guanidino nitrogen of NPGB with an n-butyl, n-hexyl, cyclo-hexyl, or benzyl residue does not prevent the esterolytic cleavage of these derivatives but does markedly alter their substrate properties with the four enzymes investigated.All four enzymes cleave NPGB at equivalent concentrations by releasing p-nitrophenol as pre-steady-state burst reactions followed by its steady-state production. Both chymotrypsin and trypsin similarly display burst reactions with the derivatives at corresponding concentrations. The acyl-enzyme intermediates formed with chymotrypsin, however, are more stable for the derivatives than for NPGB, and those formed with trypsin are less stable. In contrast, plasmin and thrombin exhibit incomplete burst reactions with the derivatives at these concentrations. Except for the cyclo-hexyl derivative, with which plasmin does not react, the derivatives relative to NPGB were cleaved faster by plasmin than by thrombin. These cleavages with thrombin, moreover, were competitively inhibited by benzamidine. Kinetic data obtained for thrombin further indicated that the substituent groups of derivatives hindered the initial formation of enzyme-substrate complexes. These results suggest that thrombin and, most likely, plasmin have restricted primary binding-site regions for small molecule substrates which do not readily accommodate bulky substituent groups.In addition, increasing concentrations of glycerol were found to greatly alter the esterolytic properties of thrombin for the compounds studied. This effect was demonstrated by increased deacylation rates with NPGB and by decreased cleavage rates with the n-butyl derivative.     

Studies of fibrin film. I. Stress relaxation and birefringence

Measurements of stress relaxation in uniaxial extension and associated time-dependent birefringence have been made on bovine fibrin film, prepared by gentle compaction of coarse fibrin clots, containing 13–22% fibrin plasticized with either aqueous buffer or glycerol. Both unligated and ligated (i.e., with α-α and γ-γ ligation by fibrinoligase, factor XIIIa) films were studied. Both types showed two stages of stress relaxation, with time scales of approximately 10 and 10³–10⁴ s, respectively, with a plateau region between. In the plateau, the nominal (engineering) stress for ligated glycerol-plasticized film is proportional to In λ, where λ is the stretch ratio, up to λ ? 2, and it decreases with increasing temperature. For unligated glycerol-plasticized film, the stresses are smaller by a factor of one-half to one-third. For ligated film, the second stage of relaxation is relatively slight, and recovery after release of stress is often nearly complete. For unligated film, the second stage involves a substantial drop in stress, and after recovery there is a significant permanent set. A second relaxation for ligated film reproduces the first, but for unligated film it reproduces the first only if the initial relaxation is terminated before the second stage; otherwise, the second relaxation shows a weaker structure. The behavior of water-plasticized film is similar to that of glycerol-plasticized except that the second stage of relaxation occurs at shorter times. During the first stage of stress relaxation, up to about 100 s, the birefringence and the stress-optical coefficient increase; during the plateau zone of stress relaxation, the birefringence of ligated films is approximately constant and is proportional to 2λ²/(λ² + 1) ? 1, where λ is the stretch ratio. This dependence is predicted by a two-dimensional model in which rodlike elements in the plane of the film are oriented with independent alignment. During the final stage of stress relaxation, the birefringence of ligated films decreases slightly; that of unligated films decreases substantially, but less rapidly than the stress, corresponding to a further increase in the stress-optical coefficient. With additional information from small-angle x-ray scattering reported in an accompanying paper, the first stage of relaxation is attributed to partial release of bending forces in the fibers by orientation, accompanied by increased birefringence. The second stage is attributed, for ligated films, to an internal transition in the fibrin units accompanied by elongation of some of the fibers; and in the unligated films, to a combination of the latter transition with slippage of protofibrils lengthwise within the fiber bundles that causes some loss of orientation, which diminishes the birefringence.     

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.     

A thrombin inhibitor from the gut of <Emphasis Type="Italic">Boophilus microplus</Emphasis> ticks

A thrombin inhibitor was identified for the first time in the gut of the cattle tick Boophilus microplus. Here we present the partial purification and characterization of this new molecule, which was purified from the gut extract by three chromatographic steps: ion-exchange, gel filtration and affinity chromatography in a thrombin–Sepharose resin. In SDS-PAGE the inhibitor showed an apparent molecular mass of circa 26 kDa, which is different from the two thrombin inhibitors present in the saliva of this tick. The new inhibitor delays bovine plasma clotting time and inhibits both thrombin induced fibrinogen clotting and thrombin induced platelet aggregation. However, it does not interfere with thrombin amidolytic activity upon a small substrate (H-D-Phe-Pip-Arg-para-nitroanilide), which does not require binding to thrombin exosites. Therefore, the inhibitor does not block thrombin active site, although it must interfere with one of the thrombin exosites. B. microplus gut thrombin inhibitor (BmGTI) is also capable of enhancing activated protein C (APC) activity upon its specific substrate (H-D-Glu-Pro-Arg-para-nitroanilide), an activity never described before among B. microplus molecules.     

Human thrombins. Production, evaluation, and properties of alpha-thrombin.

Human alpha-thrombin, the thromboplastin activation product of prothrombin with high clotting and esterase activity, was produced from Cohn Fraction III paste. The procedure started with 0.4 to 3.2 kg of frozen paste and was completed in 2 or 3 days. Some 23 g of thrombin were recorded for 65 quantitated preparations made from 11 lots of Fraction III paste. These preparations were obtained at protein concentrations of 3.9 +/- 1.3 mg/ml with a yield of 340 +/- 110 mg/kg of paste, which represented 48 +/- 14% of the clotting potential extracted as prothrombin. They had specific clotting activities of 2.8 +/- 0.4 U.S. (NIH) units/microng of protein and titrated to 88 +/- 8% active with p-nitrophenyl-p'-guanidinobenzoate (NPGB). Those (N - 29) examined by labeling with [14C]diisopropyl phosphorofluoridate (iPr2P-F) and electrophoresing in sodium dodecyl sulfate (SDS)-polyacrylamide gels were found to contain only (N = 4) or predominantly alpha-thrombin (97 +/- 3%) and corresponding amounts of ists degradation product, beta-thrombin (2.6 +/- 3.1%). No plasmin(ogen), prothrombin complex factors (II, VII, IX, IXalpha, X, Xalpha), or prothrombin fragments were detected in representative preparations. As produced in 0.75 M NaCl, pH approximately 6, thrombin was stable for approximately 1 week at 4 degrees and for greater than 1 year at less than or equal to 50 degrees; freeze-dried thrombin stored at 4 degrees for greater than 1 year displayed stable clotting activity and no vial to vial variation, permitting its use for reference purposes. Human thrombin generated by Taipan snake venom activation was compared with that produced by rapid thromboplastin activation: after treatment with [14C]iPr2P-F, greater than 95% of the label in both thrombins migrated at the same rate during electrophoresis in SDS; identical pairs of NH2-terminal residues were released in three consecutive Edman degradation cycles.     

Characterization of the fibrin polymer structure that accelerates thrombin cleavage of plasma factor XIII

The effect of plasmin-derived fibrin(ogen) degradation products on alpha-thrombin cleavage of plasma Factor XIII was studied to identify the fibrin polymer structure that promotes Factor XIIIa formation. Fibrin polymers derived from fibrinogen and Fragment X enhanced the rate of thrombin cleavage of plasma Factor XIII in plasma or buffered solutions. The concentrations of fibrinogen and Fragment X that promoted half-maximal rates of Factor XIIIa formation were 5 and 40 micrograms/ml, respectively. Fragments Y, D, E, D-dimer, and photooxidized fibrinogen did not enhance thrombin cleavage of Factor XIII. Although purified Fragment D1 inhibited fibrin gelation, the soluble protofibrils promoted thrombin activation of Factor XIII. Noncrosslinked fibrin fibers failed to enhance thrombin cleavage of Factor XIII. In conclusion, soluble fibrin oligomers function to promote thrombin cleavage of plasma Factor XIII during blood clotting.     

Peptide-derivatized albumins that inhibit fibrin polymerization

Synthetic peptides patterned on sequences that appear during thrombin proteolysis of fibrinogen are known to influence fibrin formation in very different ways. A-Knob sequences (GPR-) inhibit polymerization, but B-knob sequences (GHR-) can actually enhance the process. We now report that when such peptides are attached to albumin carriers, both knob conjugates inhibit fibrin formation. In contrast, the 2-aminoethylthiol-albumin conjugate control enhances the polymerization to the same degree as albumin. The peptide AHRPam, which is known to bind exclusively to the βC holes of fibrinogen/fibrin, nullifies the inhibitory effects of the GHRPYGGGCam-albumin conjugate on fibrin polymerization, indicating that the inhibition was exclusively due to interactions with βC holes. AHRPam was much less effective in countering inhibition by the GPRPGGGGCam-albumin conjugate, suggesting that the observed effects with this conjugate involve mainly the γC holes of fibrin/fibrinogen. This study demonstrates that peptides modeled on fibrin polymerization knobs tethered to albumin retain their capacity to interact with fibrinogen/fibrin and may prove useful as inhibitors of clotting in vivo.     

Unexpected substrate specificity of T4 DNA ligase revealed by in vitro selection.

We have used in vitro selection techniques to characterize DNA sequences that are ligated efficiently by T4 DNA ligase. We find that the ensemble of selected sequences ligates about 50 times as efficiently as the random mixture of sequences used as the input for selection. Surprisingly many of the selected sequences failed to produce a match at or close to the ligation junction. None of the 20 selected oligomers that we sequenced produced a match two bases upstream from the ligation junction.     

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.     

Factor XIII-induced crosslinking in solutions of fibrinogen and fibronectin

In solutions containing fibrinogen and fibronectin, factor XIIIa catalyzes the formation of two types of crosslinked polymers: hybrid oligomers consisting of equimolar amounts of fibrinogen and fibronectin, and fibrinogen oligomers. The two types of oligomers are produced in amounts proportional to the starting concentration of fibronectin and fibrinogen in the reaction mixture. Increasing the fibronectin concentration relative to the fibrinogen concentration results in the production of more hybrid and less fibrinogen type oligomers. The lowest molecular weight hybrid oligomer, a dimer, is formed by ligation of one molecule of fibrinogen and fibronectin. The A alpha-chain of fibrinogen and one fibronectin subunit participate in the crosslinking. Larger size hybrid oligomers form by the joining of two hybrid dimers to each other via gamma-chain dimerization in the fibronectin moiety of the dimers. In fibrinogen oligomer formation, fibrinogen molecules are ligated by gamma-chain dimerization in a step-wise fashion producing fibrinogen dimers, trimers, tetramers, etc. without A alpha-chain crosslinking. The hybrid type and the fibrinogen type of oligomer grow in size and eventually become crosslinked to each other yielding large molecular weight complexes that interact to form a gel network.     

Phenomenological analysis of the clotting curve

A model-independent (phenomenological) characterization of the clotting curve is proposed. Three parameters are used to encapsulate the main features of the increase in absorbance observed at 350 nm due to the reaction of thrombin with fibrinogen that leads to clot formation: (1) the maximum increase in absorbance per unit time, A _m , at the inflection point of the clotting curve; (2) the time needed to reach the maximum increase in absorbance,t _m ; and (3) the clotting time,t _c , obtained from extrapolation of the slope att _m to the zero absorbance baseline. Clotting curves at low fibrinogen concentrations (0.125 ÷ 0.250 µM), well below the K_m, where thrombin amidase activity is rate-limiting with respect to the subsequent aggregation process, have been measured under a wide variety of experimental conditions, (i.e., as a function of thrombin concentration,pH and temperature) in order to explore the basic response of each parameter to changes in solution conditions. Under all conditions examined in this study we have observed thatt _m andt _c are linked through a linear relationship that appears to be an important invariant property of the clotting curve, regardless of experimental conditions. No such clear relationship exists between A _m andt _c , witht _c being associated with several possible values of A _m and vice versa, depending upon solution conditions. It is proposed thatt _c is strictly dependent on thrombin amidase activity, while A _m reflects properties of the aggregation process leading to clot formation. The clotting time shows apH and temperature dependence that closely resembles that of K_m/V_m for synthetic amide substrates. Futhermore,t _c changes linearly with either the inverse thrombin concentration and the concentration of competitive inhibitors of fibrinogen binding to thrombin, as expected for the ratio K_m/V_m. We show how the analysis of clotting curves obtained at different thrombin and inhibitor concentrations yields a quantitative measure of K_I that is in excellent agreement with the value determined independently from steady-state measurements of thrombin amidase activity.     

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.