A self-consistent calculation of the free energy and electrostatic potential for a cylindrical polyion

The linearized Poisson-Boltzmann equation is solved for a cylindrical polyion immersed in an ionic solution of specified pH and ionic strength. The boundary condition at the surface of the cylinder is determined self-consistently, so that the only input required is the density of ionizable groups on the cylinder surface and their dissociation characteristics. An expression is also derived for the free energy of the system and it is shown that the degree of dissociation calculated via the self-consistent boundary condition yields the minimum value of the free energy. Calculations are presented for parameters that are relevant to several systems of biological interest and the response of the system to changes in pH and ionic strength is discussed in detail.     

Differential Effects of Ionic Strength,Divalent Cations and pH on the Pore-forming Activity of <Emphasis Type="Italic">Bacillus thuringiensis</Emphasis> Insecticidal Toxins

The combined effects of ionic strength, divalent cations, pH and toxin concentration on the pore-forming activity of Cry1Ac and Cry1Ca were studied using membrane potential measurements in isolated midguts of Manduca sexta and a brush border membrane vesicle osmotic swelling assay. The effects of ionic strength and divalent cations were more pronounced at pH 10.5 than at pH 7.5. At the higher pH, lowering ionic strength in isolated midguts enhanced Cry1Ac activity but decreased considerably that of Cry1Ca. In vesicles, Cry1Ac had a stronger pore-forming ability than Cry1Ca at a relatively low ionic strength. Increasing ionic strength, however, decreased the rate of pore formation of Cry1Ac relative to that of Cry1Ca. The activity of Cry1Ca, which was small at the higher pH, was greatly increased by adding calcium or by increasing ionic strength. EDTA inhibited Cry1Ac activity at pH 10.5, but not at pH 7.5, indicating that trace amounts of divalent cations are necessary for Cry1Ac activity at the higher pH. These results, which clearly demonstrate a strong effect of ionic strength, divalent cations and pH on the pore-forming activity of Cry1Ac and Cry1Ca, stress the importance of electrostatic interactions in the mechanism of pore formation by B. thuringiensis toxins.     

Mechanism of lysis by large granular lymphocyte granule cytolysin: generation of a stable cytolysin-RBC intermediate

The effect of ionic strength and pH on the hemolytic activity of large granular lymphocyte granule cytolysin was examined in detail. Cytolysin-mediated lysis of RBC was inhibited by either low ionic strength or low pH. Under these conditions a nonlytic cytolysin-RBC intermediate was formed as revealed by hemolysis when cytolysin pretreated cells were washed and resuspended at physiologic ionic strength and pH. Formation of the cytolysin-RBC intermediate at low ionic strength (250 mM sucrose), pH 7.3, required greater than 0.1 mM calcium. In contrast, formation of the intermediate at physiologic ionic strength (150 mM NaCl), pH 6.0, was calcium independent. Both types of intermediates were stable at 37 degrees C and required calcium to induce subsequent lysis. The degree of lysis of the intermediate generated at low ionic strength was similar to that measured under standard conditions with the use of either whole granule preparations or purified cytolysin. However, lysis of intermediates formed at pH 6.0 was much less efficient. Our data indicate that a stable cytolysin-RBC intermediate can be formed in which cytolysin is present in an unreactive state on the RBC surface; under conditions of physiologic ionic strength and calcium concentrations this intermediate rapidly lyses.     

Physicochemical Properties and Heat-induced Gelling of Cardiac Myosin in Model System

Some physicochemical and functional properties of cardiac myosin were studied in a model system, with particular reference to its binding ability in re-structured meat. We found that myosin solubility was strongly influenced by the pH, ionic strength, and temperature of the system and by the interaction of pH and ionic strength. For instance, myosin remained completely in solution in monomeric form at ionic strengths ≤0.2 M KCl, if the pH of system was maintained at 7.0. Highionic strength was required to keep myosin in monomeric form at low pH. With low ionic strength and pH, myosin molecules tend to form aggregated filaments.

Like skeletal muscle myosin, the heat-induced gel strength of cardiac myosin was also influenced by the pH, ionic strength, and temperature of the system, and it produced a gel with maximum strength (21.× 10³dyn/cm²) at pH 5.5 and 0.1 M KCl concentration on heating to 60%C. Cardiac myosin seems to form much stronger gels than skeletal muscle myosin.     

The temperature and pH dependence of conformational transitions of the chromatin subunit.

Hydrodynamic, spectroscopic, and chemical crosslinking studies on monomer chromatin subnits are reported as a function of ionic strength, pH, and temperature. In earlier studies, two salt-dependent conformational transitions were described (Gordon et al., Proceedings of the National Academy of Science, 75, 660, 1978). Transition one occurred between 0.7 and 2.0 mM ionic strength and transition two occurred between 5.0 and 11.0 mM ionic strength. Crosslinking at 11 mM ionic strength with formaldehyde suppressed both transitions. In this communication we report that the second transition was characterized by changes in the circular dichroism spectra in the 260--320 nm region as well as by changes in the hydrodynamic properties. As the ionic strength was increased from 5.0 to 11.0 mM, [theta]282 decreased from 2000 TO 1500 DEG CM2/DMOLE AND [THETA]295 decreased from 0 to -400 deg cm2/dmole. Both transitions occurred in the pH range from pH 6.0 to 9.2. At pH 5.0, the two ionic strength-dependent transitions were no longer observed and the characteristic changes in the circular dichroism spectra were suppressed. The spectra of the monomer subunits at pH 5.0 showed only small changes with ionic strength and resembled the spectra of the subunits at 11 mM ionic strength above pH 6.0. In order to characterize the transitions in thermodynamic terms an ionic strength near the midpoint of each transition was selected. Then, changes in s20,w and D20,w were measured as a function of temperature. These data allow an estimation to be made of the enthalpies and entropies of the transitions.     

Phase diagram for acidic conformational states of apomyoglobin

The conformation of apomyoglobin under acidic conditions depends on both pH and salt conditions. Using KCl and HCl, a phase diagram for the pH and ionic strength-dependent conformational states was constructed based on the change in the far-ultraviolet circular dichroism. Acid-denatured apomyoglobin consists of two conformational states, the largely unfolded state (UA) and the relatively compact, acidic intermediate state (A). The UA state is stable below pH 3 and at low ionic strength. High ionic strength favors the A state. Because the minimal ionic strength increases significantly with a decrease in pH below 2, the UA state is limited to only a small region between pH 1 and 3.     

Membrane interactions in nerve myelin. I. Determination of surface charge from effects of pH and ionic strength on period.

We have used x-ray diffraction to study the interactions between myelin membranes in the sciatic nerve (PNS) and optic nerve (CNS) as a function of pH (2-10) and ionic strength (0-0.18). The period of myelin was found to change in a systematic manner with pH and ionic strength. PNS periods ranged from 165 to 250 A or more, while CNS periods ranged from 150 to 230 A. The native periods were observed only near physiological ionic strength at neutral or alkaline pH. The smallest periods were observed in the pH range 2.5-4 for PNS myelin and pH 2.5-5 for CNS myelin. The minimum period was also observed for PNS myelin after prolonged incubation in distilled water. At pH 4, within these acidic pH ranges, myelin period increased slightly with ionic strength; however, above these ranges, the period increased with pH and decreased with ionic strength. Electron density profiles calculated at different pH and ionic strength showed that the major structural alteration underlying the changes in period was in the width of the aqueous space at the extracellular apposition of membranes; the width of the cytoplasmic space was virtually constant. Assuming that the equilibrium myelin periods are determined by a balance of nonspecific forces/i.e., the electrostatic repulsion force and the van der Walls attractive force, as well as the short-range repulsion force (hydration force, or steric stabilization), then values in the period-dependency curve can be used to define the isoelectric pH and exclusion length of the membrane. The exclusion length, which is related to the minimum period at isoelectric pH, was used to calculate the electrostatic repulsion force given the other forces. The electrostatic repulsion was then used to calculate the surface potential, which in turn was used to calculate the surface charge density (at different pH and ionic strength). We found the negative surface charge increases with pH at constant ionic strength and with ionic strength at constant pH. We suggest that the former is due to deprotonation of the ionizable groups on the surface while the latter is due to ion binding. Interpretation of our data in terms of the chemical composition of myelin is given in the accompanying paper (Inouye and Kirschner, 1988). We also calculated the total potential energy functions for the different equilibrium periods and found that the energy minima became shallower and broader with increasing membrane separation. Finally, it was difficult to account directly for certain structural transitions from a balance of nonspecific forces.(ABSTRACT TRUNCATED AT 400 WORDS)     

The passive permeability of the red blood cell in cations

The efflux of salt from human red blood cells suspended in isotonic sucrose plus low concentrations of salt, was measured under steady-state conditions. The relationship between the efflux and the log of the salt concentration can be fitted by two straight lines with a sharp inflection point, the steeper slope occurring at concentrations below 0.2 mM NaCl. The determining factor in the rate of efflux is the ionic strength rather than the specific monovalent cations or anions and the effects are completely reversible. With an increase in temperature, the effects of reduced ionic strength are more pronounced and the inflection point is shifted toward higher salt concentrations. An increase in pH leads to an increased efflux at a given ionic strength, but the size of the pH effect is small at low ionic strength. At a given pH, the data can be fitted by a simplified form of the Goldman equation suggesting that with reduction in ionic strength, the permeability remains constant until the inflection point is reached. At that ionic strength, a sharp reversible transition to a new permeability state occurs. The permeability increases with an increase in the external but not the internal pH.     

Einfluß von Ionenstärke und pH auf die differentielle Dekondensation der Nukleoproteide isolierter Speicheldrüsen-Zellkerne und -Chromosomen von Chironomus thummi

A new method of isolating nuclei and chromosomes of salivary gland cells is described. — The influence of ionic strength and pH of the medium on the state of decondensation of chromosomal bands is studied. In the isolation medium (a modified Ringer solution), all the bands are in a condensed state; as the ionic strength is increased the bands decondense. This reaction of the bands to increasing ionic strength is dependent on the pH which determines: 1) the range of ionic strengths which causes decondensation of the bands; i.e., the lower the pH, the higher the ionic strength is required for decondensation (at pH 7.3, 150–350 mM NaCl, at pH 4.3, 500–800 mM NaCl), and 2) the extent of structural changes caused by increasing ionic strength; that is, at neutral pH the bands become diffuse (“fading”) and at moderate acidic pH (optimum 4.3) the bands unravel to yield pufflike structures (“swelling”). — All ion species tested induce decondensation of bands, but each one is effective differently; specifically, Mg⁺ is more effective than Na⁺ and K⁺, and ClO₄ ^? is more effective than Cl^?. — “Swelling” as induced at pH 4.3 by high ionic strength cannot be reversed by a mere lowering of ionic strength (to 150 mM NaCl) and a subsequent raise of pH (to 7.5); it can be reversed only by an addition of histones. The various histone fractions act differently on the recondensation process. — “Swelling” is correlated with an increase in template activity as evidenced by an increased incorporation of ³H-UTP, measured in the presence of ATP, CTP, GTP and exogeneous RNA polymerase. — The individual bands differ in their sensitivity to an increasing ionic strength. This differential sensitivity expresses itself only if one of the following conditions is met: 1) a moderately acidic pH (optimum 4.3) or 2) the presence of divalent cations at neutral pH. — In a few bands the sensitivity to an increasing ionic strength is dependent on the ionic species (Na⁺, K⁺, Mg⁺⁺ and Ca⁺⁺). — It is attempted to explain the above reactions on the basis of the physico-chemical properties of chromosomes.     

Golgi β-glucuronidase of androgen-stimulated mouse kidney

The equilibrium constant of the phosphoglyceromutase reaction was determined over a range of pH (5.4-7.9), in solutions of different ionic strength (0.06-0.3) and in the presence of Mg(2+), at 30 degrees C and at 20 degrees C. The values obtained (8.65-11.65) differ substantially from previously published values. The third acid dissociation constants were redetermined for 2- and 3-phosphoglycerate, and in contrast with previous reports the pK values (7.03 and 6.97 respectively at zero ionic strength) were closely similar. The Mg(2+)-binding constants were measured spectrophotometrically and the values, 286mm(-1) and 255mm(-1) for 2- and 3-phosphoglycerate at pH7 and ionic strength 0.02, were also very similar. From the relative lack of effect of temperature, pH and ionic strength it is concluded that the equilibrium constant differs from unity largely because of entropic factors. At low ionic strength, in the neutral region, the pH-dependence can be attributed to the small difference in the acid dissociation constants, but the difference in dissociation constants does not explain the pH-dependence in the acid region or at high ionic strength. Within physiological ranges of pH, Mg(2+) concentration and ionic strength there will be little variation in equilibrium constant.     

Bovine brain phosphatidylinositol transfer protein. Effects of pH, ionic strength and lipid composition on transfer activity

Phosphatidylinositol and phosphatidylcholine are transferred between bilayer membranes in the presence of a specific phosphatidylinositol transfer protein isolated from bovine brain. The effects of pH, ionic strength and lipid composition on the rate of transfer of these phospholipids between small unilamellar vesicles have been investigated. At low ionic strength, phosphatidylinositol transfer between vesicles prepared from phosphatidylcholine and 5 mol% phosphatidylinositol was maximal at about pH 5 and moderately dependent on hydrogen ion concentration in more alkaline regions. A similar dependence on pH was noted for phosphatidylcholine transfer between membranes containing phosphatidylcholine or mixtures of phosphatidylcholine and 5 mol% phosphatidylinositol, phosphatidic acid, phosphatidylglycerol, phosphatidylethanolamine or stearylamine. The rate of transfer between anionic vesicles was somewhat higher than that between neutral or cationic vesicles. At higher ionic strength the transfer reactions in neutral and alkaline regions were less sensitive to pH. Phospholipid transfers between vesicles containing 5 mol% of anionic lipid increased sharply as ionic strength decreased below 0.1. In contrast, phosphatidylcholine transfer between membranes which contained only zwitterionic phospholipids or 5 mol% stearylamine was unaffected by variations of ionic strength. Irrespective of the lipid composition of membranes, pH affected both the apparent Km and Vmax, while ionic strength generally affected the apparent Vmax. These results indicate a significant role of electrostatic interactions in the phospholipid transfer catalyzed by phosphatidylinositol transfer protein.     

Conformational prerequisites for formation of amyloid fibrils from histones

We demonstrate that bovine core histones are natively unfolded proteins in solutions with low ionic strength due to their high net positive charge at pH 7.5. Using a variety of biophysical techniques we characterized their conformation as a function of pH and ionic strength, as well as correlating the conformation with aggregation and amyloid fibril formation. Tertiary structure was absent under all conditions except at pH 7.5 and high ionic strength. The addition of trifluoroethanol or high ionic strength induced significant alpha-helical secondary structure at pH 7.5. At low pH and high salt concentration, small-angle X-ray scattering and SEC HPLC indicate the histones are present as a hexadecamer of globular subunits. The secondary structure at low pH was independent of the ionic strength or presence of TFE, as judged by FTIR. The data indicate that histones are able to adopt five different relatively stable conformations; this conformational variability probably reflects, in part, their intrinsically disordered structure. Under most of the conditions studied the histones formed amyloid fibrils with typical morphology as seen by electron microscopy. In contrast to most aggregation/amyloidogenic systems, the kinetics of fibrillation showed an inverse dependence on histone concentration; we attribute this to partitioning to a faster pathway leading to non-fibrillar self-associated aggregates at higher protein concentrations. The rate of fibril formation was maximal at low pH, and decreased to zero by pH 10. The kinetics of fibrillation were very dependent on the ionic strength, increasing with increasing salt concentration, and showing marked dependence on the nature of the ions; interestingly Gdn.HCl increased the rate of fibrillation, although much less than NaCl. Different ions also differentially affected the rate of nucleation and the rate of fibril elongation.     

pH-induced conformational changes in chromatin subunits measured by circular dichroism and immunochemical reactivity

Changes in the conformational state of chromatin core particles from chicken erythrocytes were studied by both immunochemical and biophysical methods as a function of pH and ionic strength. When the pH of core particles in a solution of ionic strength 3, 60 or 220 mM was lowered from pH 7.5, a sharp transition in the circular dichroism spectrum of DNA monitored between 320 and 260 nm was observed at pH 6.65. This change in DNA ellipticity was totally reversible. Binding to core particles of antibodies specific for histones H2B, H2A, H3 and for the IRGERA (synthetic C-terminal) peptide of H3 was used to follow changes in histone antigenicity. Binding was studied in the pH range 7.5-5.35, and at ionic strength of 60 and 220 mM. A change in reactivity of some histone epitopes was observed around pH 6.2–6.5. However, the changes observed by circular dichroism and antibody binding pertain to different components of chromatin subunits and they probably reflect independent phenomena. The alteration in accessibility of these determinants at the surface of core particles was completely reversible and was dependent on ionic strength. The conformation changes in core particles occurring near physiological ionic strength and pH may reflect dynamic changes in chromatin structure that possess functional significance.     

Studies on the binding of FMN by apoflavodoxin from Peptostreptococcus elsdenii, pH and NaCl concentration dependence.

1. The pH and ionic strength dependence of the interaction of FMN with apoflavodoxin has been studied by fluorometry in the pH region 2-5, at 22 degrees C. 2. The rate constant of dissociation and the dissociation constant were experimentally determined; the rate constants of association were claculated at a given pH value. These constants depend on the ionic strength. The plots of these constants against the square root of the ionic strength are straight. 3. Our data have been interpreted in terms of the Br?nsted theory, which relates chemical reaction rates to ionic strength. The data indicate that the apoenzyme reaches its maximum net positive charge at pH 2.0-2.6. The calculated net charge in this pH region is between 11 and 12 and is in agreement with the theoretical value of 12 as deduced from the primary structure of the protein. The isoelectric point of the holoenzyme is about 4. 4. The rate constant of association extrapolated to zero ionic strength is 3.2-10(5)M-1-s-1 and is pH-independent. 5. The rate constant of dissociation and the dissociation constant extrapolated to zero ionic strength depend on the pH. The results are explained by assuming that there are two protein ionizations with a pK value of 3.4; these ionizing groups are possibly close to the FMN binding site.     

Binding of bromophenol blue to bovine serum albumin and its succinylated forms

Interaction of bromophenol blue with bovine serum albumin and its five succinylated forms was studied spectrophotometrically at three different ionic strengths, i.e. 0.04, 0.15 and 1.0 and at two different pH values, namely pH 7.0 and pH 5.0 respectively. Results showed a decrease in bromophenol blue binding on increasing succinylation at low ionic strengths. This decrease was more marked at pH 7.0 than pH 5.0. However, at both the pH values binding returned to a significant degree on increasing the ionic strength to 1.0. Succinylation also caused marked conformational changes at pH 7.0 and ionic strength 0.15 as evidenced by changes in hydrodynamic properties and reduction in antigen-antibody precipitin reaction. However, an increase in ionic strength to 1.0 or decrease in pH to 5.0 caused significant reversal in hydrodynamic parameters. These studies show that lysine residues of bovine serum albumin are not important in bromophenol blue binding.     

Interaction of talin with actin: sensitive modulation of filament crosslinking activity.

Talin is an adhesion plaque protein believed important in linking actin filaments to the plasma membrane. The nature of a direct talin-actin interaction, however, is complex and has remained unclear. We have systematically characterized the effects of pH, ionic strength, temperature, and protein molar ratio on the interaction between highly purified talin and actin. The ability of talin to increase viscosity of F-actin at 25 degrees C and low ionic strength increased with decreasing pH from 7.3 to 6.4 and increasing molar ratio of talin to actin. At pH 6.4 and low ionic strength, talin could extensively crosslink actin filaments into ordered bundles as shown by negative staining and could cosediment with F-actin at molar ratios as high as one talin to two actin monomers. Talin crosslinked prepolymerized actin filaments to a similar extent as actin filaments polymerized in its presence. The 190-kDa calpain-generated proteolytic fragment of talin bound poorly to actin under conditions favorable for intact talin, but was able to crosslink actin filaments at a lower pH. Increasing the ionic strength within a relatively narrow range significantly decreased ability of talin to bind to actin, regardless of pH. The effects of pH and ionic strength on the talin-actin interaction were rapid and reversible. Low-shear-viscosity studies revealed a strong temperature dependence in the talin-actin interaction with significant crosslinking activity at physiological-like ionic conditions and temperature (37 degrees C). Our results consistently demonstrated that talin crosslinks actin filaments and that this direct interaction is highly sensitive to, and dependent upon, ionic conditions and temperature.     

The formulation of buffers and media for enzyme histochemistry

Summary Buffer solutions and incubating media for enzyme histochemistry are discussed in terms of pH, ionic strength and buffering capacity. A specially written program is presented. This program enables (i) buffers and media of known pH and ionic strength to be formulated; (ii) the ionic strength of a buffer solution of known molarity, and (iii) the thermodynamic acid dissociation constant of a buffer substance, to be calculated.     

The effect of ionic strength on the kinetics of fluoride binding to cytochrome c peroxidase.

The kinetics of the reaction between cytochrome c peroxidase and fluoride was investigated as a function of ionic strength over the pH range 4 to 8. The ionic strength was varied between 0.01 and 0.10 m. At 0.01 m ionic strength, the reaction rates were determined between pH 2.7 and 9.2. A consideration of the ionic strength and pH dependence of the association rate constant for the fluoride-cytochrome c peroxidase reaction leads to the conclusion that hydrofluoric acid is the only significant reactive form of the ligand between pH 2.5 and 8. Above pH 8, binding of fluoride anion contributes to the apparent association rate even though the pH-independent rate constant for fluoride anion binding is more than 3 × 10⁵ times smaller than the rate constant for hydrofluoric acid binding.     

No salting-in of lysozyme chloride observed at low ionic strength over a large range of pH.

Solubility of lysozyme chloride was determined in the absence of added salt and in the presence of 0.05-1.2 M NaCl, starting from isoionic lysozyme, which was then brought to pH values from 9 to 3 by addition of HCl. The main observation is the absence of a salting-in region whatever the pH studied. This is explained by a predominant electrostatic screening of the positively charged protein and/or by adsorption of chloride ions by the protein. The solubility increases with the protein net charge at low ionic strength, but the reverse is observed at high ionic strength. The solubility of lysozyme chloride seems to become independent of ionic strength at pH approximately 9.5, which is interpreted as a shift of the isoionic pH (10.8) to an isoelectric pH due to chloride binding. The crystallization at very low ionic strength, where lysozyme crystallizes at supersaturation values as low as 1.1, amplifies the effect of pH on protein solubility. Understanding the effect of the net charge and of ionic strength on protein-protein interactions is valuable not only for protein crystal growth but more generally also for the formation of protein-protein or protein-ligand complexes.     

4-nitroimidazole binding to horse metmyoglobin: evidence for preferential anion binding

The ionization of 4-nitroimidazole to 4-nitroimidazolate was investigated as a function of ionic strength. The apparent pKa varies from 8.99 to 9.50 between 0.001 and 1.0 M ionic strength, respectively, at 25 degrees C. The ionic strength dependence of this ionization is anomalous. The binding of 4-nitroimidazole by horse metmyoglobin was studied between pH 5.0 and 11.5 and as a function of ionic strength between 0.01 and 1.0 M. The association rate constant is pH-dependent, varying from 24 M(-1)s(-1) at pH 5 to a maximum value of 280 M(-1)s(-1) at pH 9.5 and then decreasing to 10 M(-1)s(-1) at pH 11.5 in 0.1 M ionic strength buffers. The dissociation rate constant has a much smaller pH dependence, varying from 0.082 s(-1) at low pH to 0.035 s(-1) at high pH, with an apparent pKa of 6.5. The binding affinity of 4-nitroimidazole to horse metmyoglobin is about 2.5 orders of magnitude stronger than that for imidazole and this increased affinity is attributed to the much slower dissociation rate for 4-nitroimidazole compared to that of imidazole. Although the ionic strength dependence of the binding rate is small and secondary kinetic salt effects can account for the ionic strength dependence of the association rate constant, the pH dependence of the rate constants and microscopic reversibility arguments indicate that the anionic form of the ligand binds more rapidly to all forms of metmyoglobin than does the neutral form of the ligand. However, the spectrum of the complex is similar to model complexes involving neutral imidazole and not imidazolate. The latter observation suggests that the initial metmyoglobin/4-nitroimidazolate complex rapidly binds a proton and the neutral form of the bound ligand is stabilized, probably through hydrogen binding with the distal histidine.