Three-dimensional reconstruction of fibrin clot networks from stereoscopic intermediate voltage electron microscope images and analysis of branching.

Fibrin polymerizes to produce branching fibers forming a three-dimensional network, which has been difficult to visualize by conventional microscopy. Three-dimensional images of whole clots at high resolution were obtained from stereo-pair intermediate-voltage electron micrographs. Computer software was developed to produce three-dimensional reconstructions of the networks in the form of a pattern of links that connect branching junctions. Network parameters were measured and analyzed to characterize the clots quantitatively. Models in which all links were moved to the origin, while preserving their orientation, allowed visualization of some network parameters and facilitated comparison of networks. Fibrin clots formed in three different conditions were analyzed and compared by these methods. Clots formed in 0.20 M saline buffer consist of fibers of uniform size, and most of the branching junctions consist of three links. Fibrin clots formed in 0.05 M saline buffer are made up of very large diameter fiber bundles with far fewer branching junctions and correspondingly longer links. Clots formed in 0.40 M saline buffer consist of very fine fibers with numerous branching junctions and very short links. In summary, the extent of lateral aggregation is directly related to the distance between branching junctions and inversely related to the total number of branching junctions. These observations must be considered in defining possible mechanisms of fibrin branching.     

Intermolecular contacts within sickle hemoglobin fibers

By combining X-ray crystallographic co-ordinates of sickle hemoglobin (HbS) molecules with three-dimensional reconstructions of electron micrographs of HbS fibers we have synthesized a model for the structure of the clinically relevant HbS fiber. This model largely accounts for the action of 55 point mutations of HbS whose effect on fiber formation has been studied. In addition, it predicts locations at which additional point mutations are likely to affect fiber formation. The number of intermolecular axial contacts decreases with radius until, at the periphery of the fiber, there are essentially no axial contacts. We suggest that this observation accounts for the limited radial growth of the HbS fiber and that a similar mechanism may be a factor in limiting the size of other helical particles. The methodology for the synthesis of the fiber model is applicable to other systems in which X-ray crystallographic and electron microscopic data are available.     

Mechanisms of homogeneous nucleation of polymers of sickle cell anemia hemoglobin in deoxy state

The primary pathogenic event of sickle cell anemia is the polymerization of the mutant hemoglobin (Hb) S within the red blood cells, occurring when HbS is in deoxy state in the venous circulation. Polymerization is known to start with nucleation of individual polymer fibers, followed by growth and branching via secondary nucleation, yet the mechanisms of nucleation of the primary fibers have never been subjected to dedicated tests. We implement a technique for direct determination of rates and induction times of primary nucleation of HbS fibers, based on detection of emerging HbS polymers using optical differential interference contrast microscopy after laser photolysis of CO-HbS. We show that: (i). nucleation throughout these determinations occurs homogeneously and not on foreign substrates; (ii). individual nucleation events are independent of each other; (iii). the nucleation rates are of the order of 10(6)-10(8)cm(-3)s(-1); (iv). nucleation induction times agree with an a priori prediction based on Zeldovich's theory; (v). in the probed parameter space, the nucleus contains 11 or 12 molecules. The nucleation rate values are comparable to those leading to erythrocyte sickling in vivo and suggest that the mechanisms deduced from in vitro experiments might provide physiologically relevant insights. While the statistics and dynamics of nucleation suggest mechanisms akin to those for small-molecule and protein crystals, the nucleation rate values are nine to ten orders of magnitude higher than those known for protein crystals. These high values cannot be rationalized within the current understanding of the nucleation processes.     

Sickle hemoglobin polymer melting in high concentration phosphate buffer

Sickle cell hemoglobin (HbS) prepared in argon-saturated 1.8 M phosphate buffer was rapidly mixed with carbon monoxide (CO)-saturated buffer. The binding of CO to the sickle hemoglobin and the simultaneous melting of the hemoglobin polymers were monitored by transmission spectroscopy (optical absorption and turbidity). Changes in the absorption profile were interpreted as resulting from CO binding to deoxy-HbS while reduced scattering (turbidity) was attributed to melting (depolymerization) of the HbS polymer phase. Analysis of the data provides insight into the mechanism and kinetics of sickle hemoglobin polymer melting. Conversion of normal deoxygenated, adult hemoglobin (HbA) in high concentration phosphate buffer to the HbA-CO adduct was characterized by an average rate of 83 s-1. Under the same conditions, conversion of deoxy-HbS in the polymer phase to the HbS-CO adduct in the solution phase is characterized by an average rate of 5.8 s-1 via an intermediate species that grows in with a 36 s-1 rate. Spectral analysis of the intermediate species suggests that a significant amount of CO may bind to the polymer phase before the polymer melts.     

Differential pathways in oxy and deoxy HbC aggregation/crystallization

CC individuals, homozygous for the expression of beta(C)-globin, and SC individuals expressing both beta(S) and beta(C)-globins, are known to form intraerythrocytic oxy hemoglobin tetragonal crystals with pathophysiologies specific to the phenotype. To date, the question remains as to why HbC forms in vivo crystals in the oxy state and not in the deoxy state. Our first approach is to study HbC crystallization in vitro, under non-physiological conditions. We present here a comparison of deoxy and oxy HbC crystal formation induced under conditions of concentrated phosphate buffer (2g% Hb, 1. 8M potassium phosphate buffer) and viewed by differential interference contrast microscopy. Oxy HbC formed isotropic amorphous aggregates with subsequent tetragonal crystal formation. Also observed, but less numerous, were twisted, macro-ribbons that appeared to evolve into crystals. Deoxy HbC also formed aggregates and twisted macro-ribbon forms similar to those seen in the oxy liganded state. However, in contrast to oxy HbC, deoxy HbC favored the formation of a greater morphologic variety of aggregates including polymeric unbranched fibers in radial arrays with dense centers, with infrequent crystal formation in close spatial relation to both the radial arrays and macroribbons. Unlike the oxy (R-state) tetragonal crystal, deoxy HbC formed flat, hexagonal crystals. These results suggest: (1) the Lys substitution at beta6 evokes a crystallization process dependent upon ligand state conformation [i. e., the R (oxy) or T (deoxy) allosteric conformation]; and (2) the oxy ligand state is thermodynamically driven to a limited number of aggregation pathways with a high propensity to form the tetragonal crystal structure. This is in contrast to the deoxy form of HbC that energetically equally favors multiple pathways of aggregation, not all of which might culminate in crystal formation.     

Role of the beta4Thr-beta73Asp hydrogen bond in HbS polymer and domain formation from multinucleate-containing clusters

Fiber formation and domain formation from deoxy-HbS as well as from beta4 and beta73 HbS variants were investigated after temperature jump using DIC microscopy to gain a basic understanding of the determinants involved. Oversaturated deoxy-HbS generated numerous 14-stranded fibers and formed ovoid-shaped, multispherulitic domains. Domain number increased linearly as a function of time. Oversaturated deoxy-alpha2beta2(E6V,T4S) also generated time-dependent, ovoid-shaped spherulitic domains like HbS and alpha 2beta2(E6V,D73H) in the deoxy form. In contrast, alpha 2beta2(E6V,T4Y) and HbC-Harlem (alpha2beta2(E6V,D73N)) in the deoxy form generated time-dependent, ball-shaped domains containing many straight, crystalline-like fibers without evidence of branching. Some of these domains formed large needlelike crystals after overnight incubation. The inhibitory effect on polymer formation by beta4Tyr in HbS was stronger than that by beta4Ser but weaker than that by beta73Asn or beta73Leu. In contrast, both deoxy- and oxy-alpha2beta2(E6V,T4V) promoted formation of tiny, disordered amorphous aggregates without a delay time like oxy-HbS, which is in contrast to formation after a delay time of needlelike fibers for alpha 2beta2(E6V,D73L). Solubilities for both deoxy- and oxy-alpha 2beta2(E6V,T4V) were similar to that of deoxy-alpha 2beta2(E6V,D73H) but approximately 10-fold lower than that of deoxy-HbS. These results suggest that the strength of the hydrogen bond between beta4Thr and beta73Asp and the balance between the hydrogen bond and beta6Val hydrophobic interactions in deoxy-HbS polymers control formation of different types of fibers in a single domain or lead to formation of disordered, non-nucleated amorphous aggregates. These results also lead to a model in which multinucleation rather than a single-nucleation event occurs in a single cluster to generate numerous fibers growing from a single domain.     

Hybridization of polymers of antibiotic C-nucleoside phosphates, poly(formycin phosphate) and poly(laurusin phosphate)

The ability of complex formation of poly-(formycin phosphate), poly(F), and poly(laurusin phosphate), poly(L), with the polymers of natural polynucleotides was examined mainly by mixing experiments in 0.1 M NaCl-0.05 M sodium cascodylate buffer (pH 7.0) at 2 degrees. Poly(F) formed complexes with poly(U) and poly(I) in the ratio of 1:1 and 1:2, respectively. Poly(L) formed complexes with poly(A) in 2:1 ration and poly(C) in 1:2 and 2:1 ratios in addition to a self-complex. Poly(F) and poly(L) also formed a 1:2 complex between them. Some of these complexes were assumed to contain novel types of base pairings using the 7-NH group. Thus it was concluded that poly(L) could form complexes with both, the oligomer of cycloadenylic acid (?cn-120 degrees) and polymers of natural nucleotides (?cn0degrees), showing flexibility of the torsion angle of the laurusin residue.     

Two-dimensional crystallization and analysis of projection images of intact Thermus thermophilus V-ATPase

H(+)-ATPase/synthases are membrane-bound rotary nanomotors that are essential for energy conversion in nearly all life forms. A member of the family of the vacuolar-type ATPases (V-ATPases) from Thermus thermophilus, sometimes also termed A-type ATPase, was purified to homogeneity and subjected to two-dimensional (2D) crystallization trials. A novel approach to the 2D crystallization of unstable complexes yielded densely packed sheets of V-ATPase, exhibiting crystalline arrays. Aggregation of the V-ATPase under acidic conditions during reconstitution circumvented the continuous dissociation of the whole complex into the V(1) and V(o) domains. The resulting three-dimensional aggregates were converted into 2D sheets by the use of a basic buffer, and after a short annealing cycle, ordered arrays of up to 1.5 microm diameter appeared. Fourier transforms calculated from micrographs taken from the negatively stained sample showed diffraction spots to a resolution of 23A. The Fourier transforms of the untilted images revealed unit-cell dimensions of a=232A, b=132A, and gamma=90 degrees , and a projection map was calculated by merging 11 images. The most probable molecular packing suggests p22(1)2(1) symmetry of the crystals and dimer contacts between the V(1) domains.     

Initial-phase optimization for bioremediation of munition compound-contaminated soils.

We examined the bioremediation of soils contaminated with the munition compounds 2,4,6-trinitrotoluene (TNT), hexahydro-1,3,5-trinitro-1,3,5-triazine, and octahydro-1,3,5,7-tetranitro-1,3,5,7-tetraazocine by a procedure that produced anaerobic conditions in the soils and promoted the biodegradation of nitroaromatic contaminants. This procedure consisted of flooding the soils with 50 mM phosphate buffer, adding starch as a supplemental carbon substrate, and incubating under static conditions. Aerobic heterotrophs, present naturally in the soil or added as an inoculum, quickly removed the oxygen from the static cultures, creating anaerobic conditions. Removal of parent TNT molecules from the soil cultures by the strictly anaerobic microflora occurred within 4 days. The reduced intermediates formed from TNT and hexahydro-1,3,5-trinitro-1,3,5-triazine were removed from the cultures within 24 days, completing the first stage of remediation. The procedure was effective over a range of incubation temperatures, 20 to 37 degrees C, and was improved when 25 mM ammonium was added to cultures buffered with 50 mM potassium phosphate. Ammonium phosphate buffer (50 mM), however, completely inhibited TNT reduction. The optimal pH for the first stage of remediation was between 6.5 and 7.0. When soils were incubated under aerobic conditions or under anaerobic conditions at alkaline pHs, the TNT biodegradation intermediates polymerized. Polymerization was not observed at neutral to slightly acidic pHs under anaerobic conditions. Completion of the first stage of remediation of munition compound-contaminated soils resulted in aqueous supernatants that contained no munition residues or aminoaromatic compounds.     

Three-dimensional reconstruction of the 14-filament fibers of hemoglobin S.

The supramolocular structure of hemoglobin S has been studied by electron microscopy and computer-based image reconstruction. Negatively stained fibers prepared by the lysis of sickled cells or the stirring of hemoglobin S hemolysates have been observed to be almost exclusively of the 20-nm diameter form. These fibers have a periodic variation in diameter between the extremes of 18 nm and 23 nm. Computed Fourier transforms of the fibers show a, highly complex pattern of reciprocal space maxima, with 30 maxima on 20 layer-lines clearly resolved. The Bessel orders of the maxima were assigned with the aid of a newly developed technique, a combined real-space Fourier-space reconstruction method (REFORM). This method utilizes the filtered image produced by the inverse Fourier transform of the low-resolution maxima to calculate in real space the crosssection of a helical fiber. The REFORM analysis indicated that the fibers have an elliptical cross-section and are composed of 14 hexagonally packed filaments with 10 outer filaments surrounding four inner filaments. On the basis of this cross-section, the Bessel orders of all the maxima were assigned, permitting the calculation of three-dimensional reconstructions by Fourier Bessel synthesis. From these reconstructions details of the location of hemoglobin S molecules of each filament were obtained. Hemoglobin S molecules are staggered in adjacent filaments to produce a closely packed helical structure. Reconstructions of fibers at various stages of disassembly revealed a stable intermediate containing 10 filaments which could be characterized in terms of the loss of two pairs of specific outer filaments. A partially disassembled fiber with only six filaments at positions corresponding to three inner and three outer filaments of the parent structure was also identified. The six-filament structure appears to be produced from the 10-filament structure by the loss of two specific pairs of filaments. Thus pairs of filaments are evidently significant structural units in the stabilization of the complete fibers and the orientation of the molecules in these pairs may be related to the filament pairs known to occur in crystals of hemoglobin S.     

Crystine: fibrous biomolecular material from protein crystals cross-linked in a specific geometry

Cysteine substitutions were engineered on the surface of maltose binding protein to produce crystine fibers, linear polymers of folded protein formed within a crystal. Disulfide bond formation between adjacent protein molecules within the lattice was monitored by X-ray crystallography. The cross-linked crystals were resistant to dissolution in water or neutral buffer solutions, even though the cross-linking was one-dimensional. However, crystine fibers were observed by transmission electron microscopy to dissociate from the crystals in acidic solutions. Some fibers remained associated as two-dimensional bundles or sheets, with a repeat unit along the fibers consistent with the packing of the individual protein molecules in the crystal. Neutralization of the acidic solutions caused the fibers to re-associate as a solid. Crystine threads were drawn out of this solution. In scanning electron microscopy images, many individual fibers could be seen unwinding from the ends of some threads. Crystine fibers are a new type of biomolecular material with potential applications wherever the use of proteins in a fibrous form is desirable, for example, the incorporation of enzymes into cloth or filtration material.     

The kinetics of nucleation and growth of sickle cell hemoglobin fibers

Polymerization of sickle cell hemoglobin (HbS) in deoxy state is one of the basic events in the pathophysiology of sickle cell anemia. For insight into the polymerization process, we monitor the kinetics of nucleation and growth of the HbS polymer fibers. We define a technique for the determination of the rates J and delay times theta of nucleation and the fiber growth rates R of deoxy-HbS fibers, based on photolysis of CO-HbS by laser illumination. We solve numerically time-dependent equations of heat conductance and CO transport, coupled with respective photo-chemical processes, during kinetics experiments under continuous illumination. After calibration with experimentally determined values, we define a regime of illumination ensuring uniform temperature and deoxy-HbS concentration, and fast (within <1 s) egress to steady conditions. With these procedures, data on the nucleation and growth kinetics have relative errors of <5% and are reproducible within 10% in independent experiments. The nucleation rates and delay times have steep, exponential dependencies on temperature. In contrast, the average fiber growth rates only weakly depend on temperature. The individual growth rates vary by up to 40% under identical conditions. These variations are attributed to instability of the coupled kinetics and diffusion towards the growing end of a fiber. The activation energy for incorporation of HbS molecules into a polymer is E(A)=50 kJ mol(-1), a low value indicating the significance of the hydrophobic contacts in the HbS polymer. More importantly, the contrast between the strong theta(T) and weak R(T) dependencies suggests that the homogenous nucleation of HbS polymers occurs within clusters of a precursor phase. This conclusion may have significant consequences for the understanding of the pathophysiology of sickle cell anemia and should be tested in further work.     

Electron crystallographic analysis of two-dimensional crystals of sensory rhodopsin II: a 6.9 A projection structure

Sensory rhodopsins, phototaxis receptors in Haloarchaea, were purified and reconstituted into halobacterial lipids to form photoactive two-dimensional crystals. Images of vitreous ice-embedded, flattened, tubular crystals of sensory rhodopsin II (SRII) of Natronobacterium pharaonis were recorded using a field emission gun electron cryo-microscope. Fourier components for the SRII structure were determined either from the separated image transforms from single layers that formed each side of flattened tubes, or by a deconvolution procedure when two layers were stacked in register so that they generated a single crystal lattice by superposition. Most micrographs showed significant diffraction to 6.9 A after computer processing, and the results provide the first intermediate- resolution information obtained for an archaeal sensory rhodopsin. The projection structure of SRII indicates that the helix positions match the seven-helix arrangement of the archaeal transport rhodopsins rather than that of the eukaryotic visual pigments. The structural similarity of SRII to the transport rhodopsins supports models in which the transport and signalling mechanisms of archaeal rhodopsins derive from the same retinal-driven changes in protein conformation.     

Kinetics of polymerization of hemoglobin S modified by thiol reagents and by oxidation

The effects of four thiol reagents on the kinetics of polymerization of hemoglobin S have been studied in high phosphate buffer (1.8 M), in the presence (3 mM) or absence of sodium dithionite, depending on the reduction of mixed disulfides of Hb in the presence of this reducing agent. The effect of oxidized forms (methemoglobin) of HbS on the kinetics of aggregation of deoxyHbS was also studied because of the presence of 33% metHbS when HbS was modified by 4-aminophenyl disulfide. In the presence of sodium dithionite, the delay times prior to polymerization of deoxyHbS modified by N-ethylmaleimide, iodoacetamide and 4-aminophenyl disulfide were, respectively, 1.5-, 1.35- and 1.15-times longer than that of native deoxyHbS. The results indicate that the radicals bound to the cysteine beta 93 residue inhibit the contacts in the polymer formation to various extents but do not modify the size of the nuclei.     

Multiple nature of polymers of deoxyhemoglobin S prepared by different methods

Studies on the aggregation of deoxy-Hb S in concentrated phosphate buffer revealed the formation of three types of polymers, the difference depending on the method employed for polymerization: 1) random or linear polymers without birefringence, 2) helical polymers with birefringence, and 3) crystals. Random or linear polymers were formed when oversaturated deoxy-Hb S was polymerized by the so-called salting out or isothermal method. Helical polymers were formed when oversaturated deoxy-Hb S (120% of the solubility) was polymerized by the temperature jump method. Crystals were formed preferentially by agitation of the sample during the polymerization below 12 degrees C. The solubilities of deoxy-Hb S measured after preparation of these three types of polymers were different, as were the activation energies for the formation of the three polymers. When a mixture of deoxy- and CO-Hb S was crystallized, the crystalline phase did not contain CO-Hb S molecules. To study the relationship among these three types of polymers and red cell sickling, the morphology of erythrocytes was studied after deoxygenation by several different methods. When erythrocytes were prepared by deoxygenation with 2% sodium dithionite at 30 degrees C, a condition similar to that for the isothermal method, red cells did not form the typical sickle shape but rather an irregular shape. In contrast, with the same experiments carried out by using the temperature jump method, typical sickle-shaped cells were formed. These data suggest that the morphological difference may be attributed to the different types of polymers formed inside erythrocytes.     

Characterization of soluble polymerized fibrin formed in the presence of excess fibrinogen fragment D

Polymerization of fibrin is inhibited in the presence of excess fibrinogen fragment D. This study was performed in order to test the proposal that these inhibited solutions contain short linear polymers of fibrin (protofibrils) whose further polymerization is prevented as a result of attachment of a molecule of fragment D at each end. Negative-stain electron micrographs, intrinsic viscosities, angular dependence of light scattering intensity, and kinetics of the increase of the scattered intensity with polymerization all were found to support the above model of the inhibited polymer and to reflect the presence of a broad distribution of the lengths of the inhibited fibrin polymers. Furthermore, sodium dodecyl sulfate-polyacrylamide gel electrophoresis of polymers stabilized with gamma-dimer cross-links introduced by factor XIIIa demonstrates cross-linking of fragment D to fibrin oligomers. Cross-linked polymers have been separated from excess fragment D by gel exclusion chromatography in 1 M urea. (In the absence of urea, the purified polymers very slowly associate to fibers.) The observation of the relative stability of short isolated inhibited protofibrils and the decrease or absence of inhibition of fibrin gelation when fragment D was added to solutions in which fibrin had been given time to polymerize to long protofibrils demonstrate that the inhibitory effect of fragment D occurs as a result of inhibition of the first fibrin polymerization step.     

Sickle hemoglobin polymer stability probed by triple and quadruple mutant hybrids.

As part of an effort to understand the interactions in HbS polymerization, we have produced and studied a recombinant triple mutant, D6A(alpha)/D75Y(alpha)/E121R(beta), and a quadruple mutant comprising the preceding mutation plus the natural genetic mutation of sickle hemoglobin, E6V(beta). These recombinant hemoglobins expressed in yeast were extensively characterized, and their structure and oxygen binding cooperativity were found to be normal. Their tetramer-dimer dissociation constants were within a factor of 2 of HbA and HbS. Polymerization of these mutants mixed with HbS was investigated by a micromethod based on volume exclusion by dextran. The elevated solubility of mixtures of HbS with HbA and HbF in dextran could be accurately predicted without any variable parameters. Relative to HbS, the copolymerization probability of the quadruple mutant/HbS hybrid was found to be 6.2, and the copolymerization probability for the triple mutant/HbS hybrid was 0.52. The pure quadruple mutant had a solubility slightly above that of its hybrid with HbS. One way to explain these results is to require significant cis-trans differences in the polymer and that HbA assemble above 42.5 g/dl. A second way to explain these data is by the modification of motional freedom, thereby changing vibrational entropy in the polymer.     

Fiber Depolymerization: Fracture, Fragments, Vanishing Times, and Stochastics in Sickle Hemoglobin

The well-characterized rates, mechanisms, and stochastics of nucleation-dependent polymerization of deoxyhemoglobin S (HbS) are important in governing whether or not vaso-occlusive sickle cell crises will occur. The less well studied kinetics of depolymerization may also be important, for example in achieving full dissolution of polymers in the lungs, in resolution of crises and/or in minimizing gelation-induced cellular damage. We examine depolymerization by microscopic observations on depolymerizing HbS fibers, by Monte Carlo simulations and by analytical characterization of the mechanisms. We show that fibers fracture. Experimental scatter of rates is consistent with stochastic features of the analytical model and Monte Carlo results. We derive a model for the distribution of vanishing times and also show the distribution of fracture-dependent fiber fragment lengths and its time dependence. We describe differences between depolymerization of single fibers and bundles and propose models for bundle dissolution. Our basic model can be extended to dissolution of gels containing many fibers and is also applicable to other reversible linear polymers that dissolve by random fracture and end-depolymerization. Under the model, conditions in which residual HbS polymers exist and facilitate repolymerization and thus pathology can be defined; whereas for normal polymers requiring cyclic polymerization and depolymerization for function, conditions for rapid cycling due to residual aggregates can be identified.     

The Use of Electron Tomography for Structural Analysis of Disordered Protein Arrays

A method based on Fourier transforms is described for obtaining a 3-D reconstruction from a paracrystalline object with static disorder. The method is derived from the standard methods used in 3-D reconstruction of 2-D crystals except that all of the Fourier coefficients are used and not just the sampled data from the periodic lattice. Thus, not only is the spatially ordered part of the structure visualized in 3-D, but also the spatially disordered part. Application of the method to 3-D reconstructions of insect flight muscle is described as well as prospects for extension of the method to radiation-sensitive specimens.     

Identification of a molecular switch that selects between two crystals forms of bovine pancreatic trypsin inhibitor.

Two crystals forms of bovine pancreatic trypsin inhibitor are produced between pH 8.39 and 10.13 when crystals are grown at room temperature from solutions of 1.5 M potassium phosphate. Lower pH values favor the form II crystals, whereas higher pH values favor the form III. The transition from one crystal form to the other occurs at pH 9.35. We examined the crystal lattice contacts in both crystal forms and identified an unusual interaction we believe explains these observations. Spanning the crystallographic 2-fold axis in form III crystals, the Lys 41 side-chain amino nitrogens from 2 symmetry-related molecules are only 2.72 A apart, implying they are hydrogen bonded to one another. In form II crystals, the Lys 41 side-chain amino group is protonated and forms a salt bridge with a solvent-derived phosphate group. For the Lys 41 side-chain amino groups to hydrogen bond in form III crystals, at least 1 member of the pair must be deprotonated. The transition that occurs at pH 9.35 marks the pKa for deprotonation. In solution, the pKa for the Lys 41 side chain is around 10.8. The pKa for one of the interacting Lys 41 side chains in form III crystals is therefore shifted downward by about 1.5 pH units. The energy for lowering the pKa value comes from the many additional intermolecular hydrogen bonds that are present in form III crystals: 19 compared to only 8 in form II crystals.