Nucleosome positioning and nucleosome stacking: two faces of the same coin

Nucleosomes are regularly spaced along eukaryotic genomes. In the emerging model, known as "statistical positioning", this spacing is due to steric repulsion between nucleosomes and to the presence of nucleosome excluding barriers on the genome. However, new experimental evidence recently challenged the "statistical positioning" model (Z. Zhang et al., Science, 2011, 332(6032), 977-980). We propose here that the regular spacing can be better explained by adding attractive interactions between nucleosomes. In our model those attractions are due to the fact that nucleosomes are stacked in regular chromatin fibers. In a self-reinforcing mechanism, regular nucleosome spacing promotes in turn nucleosome stacking. We first show that this model can precisely account for the nucleosome spacing observed in Saccharomyces cerevisiae. We then use a simple toy model to show that attraction between nucleosomes can fasten the formation of the chromatin fiber.     

Recognition of damaged DNA by Escherichia coli Fpg protein: insights from structural and kinetic data

Formamidopyrimidine-DNA glycosylase (Fpg) excises oxidized purines from damaged DNA. The recent determination of the three-dimensional structure of the covalent complex of DNA with Escherichia coli Fpg, obtained by reducing the Schiff base intermediate formed during the reaction [Gilboa et al., J. Biol. Chem. 277 (2002) 19811] has revealed a number of potential specific and non-specific interactions between Fpg and DNA. We analyze the structural data for Fpg in the light of the kinetic and thermodynamic data obtained by the method of stepwise increase in ligand complexity to estimate relative contributions of individual nucleotide units of lesion-containing DNA to its total affinity for this enzyme [Ishchenko et al., Biochemistry 41 (2002) 7540]. Stopped-flow kinetic analysis that has allowed the dissection of Fpg catalysis in time [Fedorova et al., Biochemistry 41 (2002) 1520] is also correlated with the structural data.     

Coordinate ion pair formation between EcoRI endonuclease and DNA

The free energy of the binding reaction between EcoRI restriction endonuclease and a specific cognate dodecadeoxynucleotide (d(CGCGAATTCGCG)) has contributions from both electrostatic and nonelectrostatic components. These contributions were dissected by measuring the effects of varying salt concentration on the equilibrium binding constant and applying the thermodynamic analyses of Record et al. (Record, M. T., Jr., Lohman, T. M., and deHaseth, P. L. (1976) J. Mol. Biol. 107, 145-158). Endonuclease mutation S187 (Arg 187 to Ser) (Greene, P. J., Gupta, M., Boyer, H. W., Brown, W. E., and Rosenberg, J. M. (1981) J. Biol. Chem. 256, 2143-2153) did not significantly affect the nonelectrostatic component but did perturb the electrostatic contribution to the binding energy (we are numbering the amino acid residues according to the DNA sequence). The former was determined by extrapolating the linear portion of the salt dependence curve (0.125 to 0.25 M KCl) to 1 M ionic strength, with the same result for both wild type and S187 endonucleases at both pH 6.0 and 7.4 (-8.5 +/- 1.5 kcal/mol or greater than 50% of the total binding free energy). The slopes of these same curves yield estimates of eight ionic interactions between wild type endonuclease and the DNA at both pH values. By contrast, binding of EcoRI-S187 to dodecanucleotide involves six charge-charge interactions at pH 6.0. Only two ionic interactions are observed at pH 7.4. This was unexpected since gel permeation chromatography demonstrated that the recognition complex for both wild type and S187 proteins contains an enzyme dimer and a DNA duplex. EcoRI-S187 endonuclease retains wild type DNA sequence specificity, and the rate of the phosphodiester hydrolysis step is also unchanged. Thus, electrostatic interactions are functionally separable from sequence recognition and strand cleavage. Our results also establish that arginine 187 plays a key role in the electrostatic function and suggest that it might be located at the DNA-protein interface. The disproportionate loss of ion pairs at pH 7.4 can be rationalized by a model which suggests that six conformationally mobile ionic groups on the protein act in a coordinated manner during the interaction with DNA.     

Copper mediates dityrosine cross-linking of Alzheimer's amyloid-beta

We have previously reported that amyloid Abeta, the major component of senile plaques in Alzheimer's disease (AD), binds Cu with high affinity via histidine and tyrosine residues [Atwood, C. S., et al. (1998) J. Biol. Chem. 273, 12817-12826; Atwood, C. S., et al. (2000) J. Neurochem. 75, 1219-1233] and produces H(2)O(2) by catalyzing the reduction of Cu(II) or Fe(III) [Huang, X., et al. (1999) Biochemistry 38, 7609-7616; Huang, X., et al. (1999) J. Biol. Chem. 274, 37111-37116]. Incubation with Cu induces the SDS-resistant oligomerization of Abeta [Atwood, C. S., et al. (2000) J. Neurochem. 75, 1219-1233], a feature characteristic of neurotoxic soluble Abeta extracted from the AD brain. Since residues coordinating Cu are most vulnerable to oxidation, we investigated whether modifications of these residues were responsible for Abeta cross-linking. SDS-resistant oligomerization of Abeta caused by incubation with Cu was found to induce a fluorescence signal characteristic of tyrosine cross-linking. Using ESI-MS and a dityrosine specific antibody, we confirmed that Cu(II) (at concentrations lower than that associated with amyloid plaques) induces the generation of dityrosine-cross-linked, SDS-resistant oligomers of human, but not rat, Abeta peptides. The addition of H2O2 strongly promoted Cu-induced dityrosine cross-linking of Abeta1-28, Abeta1-40, and Abeta1-42, suggesting that the oxidative coupling is initiated by interaction of H2O2 with a Cu(II) tyrosinate. The dityrosine modification is significant since it is highly resistant to proteolysis and is known to play a role in increasing structural strength. Given the elevated concentration of Cu in senile plaques, our results suggest that Cu interactions with Abeta could be responsible for causing the covalent cross-linking of Abeta in these structures.     

Direct interaction of Gas11 with microtubules: implications for the dynein regulatory complex

We previously described the Trypanin family of cytoskeleton-associated proteins that have been implicated in dynein regulation [Hill et al., J Biol Chem2000; 275(50):39369-39378; Hutchings et al., J Cell Biol2002;156(5):867-877; Rupp and Porter, J Cell Biol2003;162(1):47-57]. Trypanin from T. brucei is part of an evolutionarily conserved dynein regulatory system that is required for regulation of flagellar beat. In C. reinhardtii, the trypanin homologue (PF2) is part of an axonemal 'dynein regulatory complex' (DRC) that functions as a reversible inhibitor of axonemal dynein [Piperno et al., J Cell Biol1992;118(6):1455-1463; Gardner et al., J Cell Biol1994;127(5):1311-1325]. The DRC consists of an estimated seven polypeptides that are tightly associated with axonemal microtubules. Association with the axoneme is critical for DRC function, but the mechanism by which it attaches to the microtubule lattice is completely unknown. We demonstrate that Gas11, the mammalian trypanin/PF2 homologue, associates with microtubules in vitro and in vivo. Deletion analyses identified a novel microtubule-binding domain (GMAD) and a distinct region (IMAD) that attenuates Gas11-microtubule interactions. Using single-particle binding assays, we demonstrate that Gas11 directly binds microtubules and that the IMAD attenuates the interaction between GMAD and the microtubule. IMAD is able to function in either a cis- or trans-orientation with GMAD. The discovery that Gas11 provides a direct linkage to microtubules provides new mechanistic insight into the structural features of the dynein-regulatory complex.     

Attractive men induce testosterone and cortisol release in women

Recently, Roney et al. (Roney, J.R., Lukaszewski, A.W., Simmons, Z.L., 2007. Rapid endocrine responses of young men to social interactions with young women. Horm. Behav. 52, 326-33; Roney, J.R., Mahler, S.V., Maestripieri, D., 2003. Behavioral and hormonal responses of men to brief interactions with women. Evol. Hum. Behav. 24, 365-375) demonstrated that men release testosterone and cortisol in response to brief social interactions with young women. The current experiment examined whether women show a similar endocrine response to physically and behaviorally attractive men. 120 women (70 naturally-cycling and 50 using hormonal contraceptives) were shown one of four 20-minute video montages extracted from popular films, depicting the following scenarios: 1) an attractive man courting a young woman (experimental stimulus), 2) a nature documentary (video clip control), 3) an unattractive older man courting a woman (male control), and 4) an attractive woman with no men present (female control). Saliva samples were taken before and after presentation of the stimulus, and were later analyzed for testosterone and cortisol content via enzyme immunoassay. Naturally-cycling women experienced a significant increase in both testosterone and cortisol in response to the experimental stimulus but to none of the control stimuli. Participants taking hormonal contraceptives also showed a significant cortisol response to the attractive man. Women may release adrenal steroid hormones to facilitate courtship interactions with high mate-value men.     

Electrostatic contribution to the thermodynamic and kinetic stability of the homotrimeric coiled coil Lpp-56: A computational study

The protein moiety of the Braun's E. coli outer membrane lipoprotein (Lpp-56) is an attractive object of biophysical investigation in several aspects. It is a homotrimeric, parallel coiled coil, a class of coiled coils whose stability and folding have been studied only occasionally. Lpp-56 possesses unique structural properties and exhibits extremely low rates of folding and unfolding. It is natural to ask how the specificity of the structure determines the extraordinary physical chemical properties of this protein. Recently, a seemingly controversial data on the stability and unfolding rate of Lpp-56 have been published (Dragan et al., Biochemistry 2004;43: 14891-14900; Bjelic et al., Biochemistry 2006;45:8931-8939). The unfolding rate constant measured using GdmCl as the denaturing agent, though extremely low, was substantially higher than that obtained on the basis of thermal unfolding. If this large difference arises from the effect of screening of electrostatic interactions induced by GdmCl, electrostatic interactions would appear to be an important factor determining the unusual properties of Lpp-56. We present here a computational analysis of the electrostatic properties of Lpp-56 combining molecular dynamics simulations and continuum pK calculations. The pH-dependence of the unfolding free energy is predicted in good agreement with the experimental data: the change in DeltaG between pH 3 and pH 7 is approximately 60 kJ mol(-1). The results suggest that the difference in the stability of the protein observed using different experimental methods is mainly because of the effect of the reduction of electrostatic interactions when the salt (GdmCl) concentration increases. We also find that the occupancy of the interhelical salt bridges is unusually high. We hypothesize that electrostatic interactions, and the interhelical salt bridges in particular, are an important factor determining the low unfolding rate of Lpp-56.     

Protein-DNA interactions in soluble telosomes from Saccharomyces cerevisiae.

Telomeric DNA in Saccharomyces is organized into a non-nucleosomal chromatin structure called the telosome that can be released from chromosome ends in soluble form by nuclease digestion (Wright, J. H., Gottschling, D. E. and Zakian, V. A. (1992) Genes Dev. 6, 197-210). The protein-DNA interactions of soluble telosomes were investigated by monitoring isolated telomeric DNA fragments for the retention of bound protein using both gel mobility shift and nitrocellulose filter-binding assays. Telosomal proteins remained associated with telomeric DNA at concentrations of ethidium bromide that dissociated nucleosomes. The protein-DNA interactions in the yeast telosome were also disrupted by much lower salt concentrations than those known to disrupt either the interactions of ciliate terminus-binding proteins with telomeric DNA or the interactions of histones with DNA in nucleosomes. Taken together, these data corroborate previously published nuclease mapping data indicating that telosomes are distinct in structure from conventional nucleosomes. These data also indicate that yeast do not possess telomere binding proteins similar to those detected in ciliates that remain tightly bound to telomeric DNA even in high salt. In addition, the characteristic gel mobility shift of soluble telosomes could be mimicked by complexes formed in vitro with yeast telomeric DNA and recombinant Rap1p suggesting that Rap1p, a known component of soluble yeast telosomes (Wright, J. H., Gottschling, D. E. and Zakian, V. A. (1992) Genes Dev. 6, 197-210; Conrad, M. N., Wright, J. H., Wolf, A. J. and Zakian, V. A. (1990) Cell 63, 739-750), is likely to be the major structural protein bound directly to yeast telomeric DNA.     

Epstein-Barr virus DNA XII. A variable region of the Epstein-Barr virus genome is included in the P3HR-1 deletion.

The P3HR-1 subclone of Jijoye differs from Jijoye and from other Epstein-Barr virus (EBV)-infected cell lines in that the virus produced by P3HR-1 cultures lacks the ability to growth-transform normal B lymphocytes (Heston et al., Nature (London) 295:160-163, 1982; Miller et al., J. Virol. 18:1071-1080, 1976; Miller et al., Proc. Natl. Acad. Sci. U.S.A. 71:4006-4010, 1974; Ragona et al., Virology 101:553-557, 1980). The P3HR-1 virus was known to be deleted for a region which encodes RNA in latently infected, growth-transformed cells (Bornkamm et al., J. Virol. 35:603-618, 1980; Heller et al., J. Virol. 38:632-648, 1981; King et al., J. Virol. 36:506-518, 1980; Raab-Traub et al., J. Virol. 27:388-398, 1978; van Santen et al., Proc. Natl. Acad. Sci. U.S.A. 78:1930-1934, 1980). This deletion is now more precisely defined. The P3HR-1 genome contains less than 170 base pairs (and possibly none) of the 3,300-base pair U2 region of EBV DNA and is also lacking IR2 (a 123-base pair repeat which is the right boundary of U2). A surprising finding is that EBV isolates vary in part of the U2 region. Two transforming EB viruses, AG876 and Jijoye, are deleted for part of the U2 region including most or all of a fragment, HinfI-c, which encodes part of one of the three more abundant cytoplasmic polyadenylated RNAs of growth-transformed cells (King et al., J. Virol. 36:506-518, 1980; King et al., J. Virol. 38:649-660, 1981; van Santen et al., Proc. Natl. Acad. Sci. U.S.A. 78:1930-1934).     

Simian virus 40 replication pause sites map with the nucleosomes.

The locations of replication pause sites in the simian virus 40 minichromosome which were determined by sizing cloned fragments of nascent DNA (Zannis-Hadjopoulos et al., J. Mol. Biol. 165:599-607, 1983) were compared with the positions of simian virus 40 nucleosomes in the genome, as obtained by sequence-directed mapping (G. Mengeritsky and E. N. Trifonov, Nucleic Acids Res. 11:3833-3851, 1983; Mengeritsky and Trifonov, Cell Biophys. 6:1-8, 1984). Clear correlation between these two maps is demonstrated, suggesting that nucleosomes hinder propagation of the replication forks.     

Milk, revealed "silent" chemistry: new mode of cycloretinal synthesis

Bovine milk is by far the most commonly consumed milk in the western world. The protein composition in milk consists of casein and whey proteins, of which β-lactoglobulin (BLG) is the principal constituent of the latter. Here we provide biochemical evidence that this milk protein, in purified form and in pasteurized store-bought milk, promotes the formation of cycloretinal (all-trans retinal dimer), and a variety of other cycloterpenals of biological relevance [Fishkin et al., Proc. Natl. Acad. Sci. U. S. A., 2005, 102, 7091-7096; Fishkin et al., Chirality, 2004, 16, 637-641; Kim et al., Proc. Natl. Acad. Sci. U. S. A., 2007, 104, 19273-19278]. Cycloretinal is an eye metabolite and among several toxic byproducts of the visual cycle firmly established to cause age-related macular degeneration. Experiments in rabbits further demonstrate that BLG/milk can survive the digestive system and promote this reaction in vivo [Caillard et al., Am. J. Physiol., 1994, 266(6), G1053-G1059]. Proteomic studies on age-related macular degeneration patients have detected BLG in the eye of these patients further suggesting that this milk protein could contribute to disease progression [Crabb et al., Proc. Natl. Acad. Sci. U. S. A., 2002, 99(23), 14682-14687].     

Involvement of histone H1 in the organization of the nucleosome and of the salt-dependent superstructures of chromatin

We describe the results of a systematic study, using electron microscopy, of the effects of ionic strength on the morphology of chromatin and of H1-depleted chromatin. With increasing ionic strength, chromatin folds up progressively from a filament of nucleosomes at approximately 1 mM monovalent salt through some intermediate higher- order helical structures (Thoma, F., and T. Koller, 1977, Cell 12:101- 107) with a fairly constant pitch but increasing numbers of nucleosomes per turn, until finally at 60 mM (or else in approximately 0.3 mM Mg++) a thick fiber of 250 A diameter is formed, corresponding to a structurally well-organized but not perfectly regular superhelix or solenoid of pitch approximately 110 A as described by Finch and Klug (1976, Proc. Natl. Acad. Sci. U.S.A. 73:1897-1901). The numbers of nucleosomes per turn of the helical structures agree well with those which can be calculated from the light-scattering data of Campbell et al. (1978, Nucleic Acids Res. 5:1571-1580). H1-depleted chromatin also condenses with increasing ionic strength but not so densely as chromatin and not into a definite structure with a well-defined fiber direction. At very low ionic strengths, nucleosomes are present in chromatin but not in H1-depleted chromatin which has the form of an unravelled filament. At somewhat higher ionic strengths (greater than 5 mM triethanolamine chloride), nucleosomes are visible in both types of specimen but the fine details are different. In chromatin containing H1, the DNA enters and leaves the nucleosome on the same side but in chromatin depleted of H1 the entrance and exit points are much more random and more or less on opposite sides of the nucleosome. We conclude that H1 stabilizes the nucleosome and is located in the region of the exit and entry points of the DNA. This result is correlated with biochemical and x-ray crystallographic results on the internal structure of the nucleosome core to give a picture of a nucleosome in which H1 is bound to the unique region on a complete two-turn, 166 base pair particle (Fig. 15). In the formation of higher-order structures, these regions on neighboring nucleosomes come closer together so that an H1 polymer may be formed in the center of the superhelical structures.     

Salt dependence of the elasticity and overstretching transition of single DNA molecules

As double-stranded DNA is stretched to its B-form contour length, models of polymer elasticity can describe the dramatic increase in measured force. When the molecule is stretched beyond this contour length, it shows a highly cooperative overstretching transition. We have measured the elasticity and overstretching transition as a function of monovalent salt concentration by stretching single DNA molecules in an optical tweezers apparatus. As the sodium ion concentration was decreased from 1000 to 2.57 mM, the persistence length of DNA increased from 46 to 59 nm, while the elastic stretch modulus remained approximately constant. These results are consistent with the model of Podgornik, et al. (2000, J. Chem. Phys. 113:9343-9350) using an effective DNA length per charge of 0.67 nm. As the monovalent salt concentration was decreased over the same range, the overstretching transition force decreased from 68 to 52 pN. This reduction in force is attributed to a decrease in the stability of the DNA double helix with decreasing salt concentration. Although, as was shown previously, the hydrogen bonds holding DNA strands in a helical conformation break as DNA is overstretched, these data indicate that both DNA strands remain close together during the transition.     

Solution Scattering and FRET Studies on Nucleosomes Reveal DNA Unwrapping Effects of H3 and H4 Tail Removal

Using a combination of small-angle X-ray scattering (SAXS) and fluorescence resonance energy transfer (FRET) measurements we have determined the role of the H3 and H4 histone tails, independently, in stabilizing the nucleosome DNA terminal ends from unwrapping from the nucleosome core. We have performed solution scattering experiments on recombinant wild-type, H3 and H4 tail-removed mutants and fit all scattering data with predictions from PDB models and compared these experiments to complementary DNA-end FRET experiments. Based on these combined SAXS and FRET studies, we find that while all nucleosomes exhibited DNA unwrapping, the extent of this unwrapping is increased for nucleosomes with the H3 tails removed but, surprisingly, decreased in nucleosomes with the H4 tails removed. Studies of salt concentration effects show a minimum amount of DNA unwrapping for all complexes around 50-100mM of monovalent ions. These data exhibit opposite roles for the positively-charged nucleosome tails, with the ability to decrease access (in the case of the H3 histone) or increase access (in the case of the H4 histone) to the DNA surrounding the nucleosome. In the range of salt concentrations studied (0-200mM KCl), the data point to the H4 tail-removed mutant at physiological (50-100mM) monovalent salt concentration as the mononucleosome with the least amount of DNA unwrapping.     

Differential scanning calorimetric studies of E. coli aspartate transcarbamylase. III. The denaturational thermodynamics of the holoenzyme with single-site mutations in the catalytic chain

Aspartate transcarbamylase (EC 2.1.3.2) from E. coli is a multimeric enzyme consisting of two catalytic subunits and three regulatory subunits whose activity is regulated by subunit interactions. Differential scanning calorimetric (DSC) scans of the wild-type enzyme consist of two peaks, each comprised of at least two components, corresponding to denaturation of the catalytic and regulatory subunits within the intact holoenzyme (Vickers et al., J. Biol. Chem. 253 (1978) 8493; Edge et al., Biochemistry 27 (1988) 8081). We have examined the effects of nine single-site mutations in the catalytic chains. Three of the mutations (Asp-100-Gly, Glu-86-Gln, and Arg-269-Gly) are at sites at the C1: C2 interface between c chains within the catalytic subunit. These mutations disrupt salt linkages present in both the T and R states of the molecule (Honzatko et al., J. Mol. Biol. 160 (1982) 219; Krause et al., J. Mol. Biol. 193 (1987) 527). The remainder (Lys-164-Ile, Tyr-165-Phe, Glu-239-Gln, Glu-239-Ala, Tyr-240-Phe and Asp-271-Ser) are at the C1: C4 interface between catalytic subunits and are involved in interactions which stabilize either the T or R state. DSC scans of all of the mutants except Asp-100-Gly and Arg-269-Gly consisted of two peaks. At intermediate concentrations, Asp-100-Gly and Arg-269-Gly had only a single peak near the Tm of the regulatory subunit transition in the holoenzyme, although their denaturational profiles were more complex at high and low protein concentrations. The catalytic subunits of Glu-86-Gln, Lys-164-Ile and Asp-271-Ser appear to be significantly destabilized relative to wild-type protein while Tyr-165-Phe and Tyr-240-Phe appear to be stabilized. Values of delta delta G degree cr, the difference between the subunit interaction energy of wild-type and mutant proteins, evaluated as suggested by Brandts et al. (Biochemistry 28 (1989) 8588) range from -3.7 kcal mol-1 for Glu-86-Gln to 2.4 kcal mol-1 for Tyr-165-Phe.     

Complete Genome Sequence of T4-Like Escherichia coli Bacteriophage HX01

Phage T4 is among the best-characterized biological systems (S. Kanamaru and F. Arisaka, Seikagaku 74:131-135, 2002; E. S. Miller et al., Microbiol. Mol. Biol. Rev. 67:86-156, 2003; W. B. Wood and H. R. Revel, Bacteriol. Rev. 40:847-868, 1976). To date, several genomes of T4-like bacteriophages are available in public databases but without any APEC bacteriophages (H. Jiang et al., Arch. Virol. 156:1489-1492, 2011; L. Kaliniene, V. Klausa, A. Zajanckauskaite, R. Nivinskas, and L. Truncaite, Arch. Virol. 156:1913-1916, 2011; J. H. Kim et al., Vet. Microbiol. 157:164-171, 2012; W. C. Liao et al., J. Virol. 85:6567-6578, 2011). We isolated a bacteriophage from a duck factory, named HX01, that infects avian pathogenic Escherichia coli (APEC). Sequence and morphological analyses revealed that phage HX01 is a T4-like bacteriophage and belongs to the family Myoviridae. Here, we announce the complete genome sequence of phage HX01 and report the results of our analysis.     

Electrostatic effects in highly charged proteins: salt sensitivity of pKa values of histidines in staphylococcal nuclease

The pK(a) values of most histidines in small peptides and in myoglobin increase on average by 0.30 unit between 0.02 and 1.5 M NaCl [Kao et al. (2000) Biophys. J. 79, 1637]. The DeltapK(a) values reflect primarily the ionic strength dependence of the solvation energy; screening of Coulombic interactions contributes only in a minor way. This implies that Coulombic interactions are weak, or that attractive and repulsive contributions to the pK(a) values are balanced. To distinguish experimentally between these two possibilities, and to further characterize the magnitude and salt sensitivity of surface electrostatic interactions in proteins, the salt dependence of pK(a) values of histidines in staphylococcal nuclease was measured by (1)H NMR spectroscopy. Three of the four histidines titrated with significantly depressed pK(a) values, and the salt sensitivity of all histidine pK(a) values was substantial. In three cases, the pK(a) values increased by a full unit between 0.01 and 1.5 M KCl. Anion-specific effects were found; the pK(a) values measured under equivalent ionic strengths in SCN(-) and SO(4)(2-) were higher than in Cl(-); the order of the sensitivity of pK(a) values to anions was SCN(-) > Cl(-) > SO(4)(2-). Structure-based pK(a) calculations with continuum methods were performed to interpret the measured effects structurally and to test their ability to capture the experimental behavior. Calculations in which the protein interior was treated empirically with a dielectric constant of 20 reproduced the pK(a) values and their dependence on the concentration of Cl(-). According to the calculations, the pK(a) values are depressed because of unfavorable self-energies and repulsive Coulombic interactions. Their striking salt sensitivity reflects screening of weak, repulsive, Coulombic interactions among charges separated by more than 10 A. Long-range Coulombic interactions on the surfaces of proteins are weak, but they can add up to produce substantial electrostatic effects when positive and negative charges are not balanced.