Calculation of ionic flocculation concentrations for biological membranes bearing ionizable groups

The flocculation concentrations in the DLVO theory of colloid stability have previously been calculated under conditions of constant plate potential or constant plate charge. These boundary conditions are not appropriate in the case of biological membranes bearing ionizable surface groups. In this case the surfaces undergo charge regulation as they approach each other and both the surface charge and potential vary. In this paper a numerical method is used to calculate the ionic flocculation concentrations for the two membranes undergoing surface charge regulation. It is shown that the flocculation concentration lies between that for constant charge and that for constant potential. Flocculation concentrations are calculated as a function of the surface density of ionizable groups and are shown to be dependent on both the pKa of the surface groups and the bulk pH of the solution.     

The role of the carboxyl and amino groups of polyene macrolides in their interactions with sterols and their selective toxicity. A P-NMR study

The permeability induced by amphotericin B and vacidin A derivatives in large unilamellar lipidic vesicles containing various sterols has been studied using the proton-cation exchange method and ³¹P-NMR spectroscopy. Derivatives which have a free ionizable carboxyl group induce biphasic ‘all or none’ permeability typical of channel-forming ionophores, whatever the sterol present. In sterol-free membranes, they have no significant activity. Derivatives which lack a free ionizable carboxyl group exhibit this channel-like mode of action only in membranes containing ergosterol or sterols with an alkyl side like that of ergosterol. In membranes containing cholesterol or sterol whose side-chain is alike, a slow and progressive permeability is observed at high concentrations. This activity is observed in sterol-free membranes as well. Derivatives containing sugars with substituted amino groups always have lower ionophoric activity than those which are unsubstituted. The greatest decrease in activity was observed for N-acetyl derivatives. Substitution of the amino groups has no effect on the mode of action. A model of interaction of polyenes with sterols is presented accounting for the data obtained on vesicles and the observed selective toxicity of polyene derivatives in biological membranes.     

pH dependence of electrostatic interaction between ion-penetrable membranes

A theory on the electrostatic repulsion between ion-penetrable membranes proposed previously by us is extended by taking into account the degree of dissociation of the membrane-fixed ionizable groups. A system of equations which determines the pH dependence of the membrane interaction is presented. The density of membrane-fixed charges is consistently determined as a function of the electric potential so that both the membrane-fixed charge density and the potential are not constant but functions of the membrane separation. The pH at the surface of interacting membranes is also calculated as a function of the membrane separation.     

Statistical analysis of protein structures suggests that buried ionizable residues in proteins are hydrogen bonded or form salt bridges

It is well known that nonpolar residues are largely buried in the interior of proteins, whereas polar and ionizable residues tend to be more localized on the protein surface where they are solvent exposed. Such a distribution of residues between surface and interior is well understood from a thermodynamic point: nonpolar side chains are excluded from the contact with the solvent water, whereas polar and ionizable groups have favorable interactions with the water and thus are preferred at the protein surface. However, there is an increasing amount of information suggesting that polar and ionizable residues do occur in the protein core, including at positions that have no known functional importance. This is inconsistent with the observations that dehydration of polar and in particular ionizable groups is very energetically unfavorable. To resolve this, we performed a detailed analysis of the distribution of fractional burial of polar and ionizable residues using a large set of ?2600 nonhomologous protein structures. We show that when ionizable residues are fully buried, the vast majority of them form hydrogen bonds and/or salt bridges with other polar/ionizable groups. This observation resolves an apparent contradiction: the energetic penalty of dehydration of polar/ionizable groups is paid off by favorable energy of hydrogen bonding and/or salt bridge formation in the protein interior. Our conclusion agrees well with the previous findings based on the continuum models for electrostatic interactions in proteins. Proteins 2011; © 2011 Wiley‐Liss, Inc.     

Critical conditions for ferric chloride-induced flocculation of freshwater algae

The effects of algae concentration, ferric chloride dose, and pH on the flocculation efficiency of the freshwater algae Chlorella zofingiensis can be understood by considering the nature of the electrostatic charges on the algae and precipitate surfaces. Two critical conditions are identified which, when met, result in flocculation efficiencies in excess of 90% for freshwater algae. First, a minimum concentration of ferric chloride is required to overcome the electrostatic stabilization of the algae and promote bridging of algae cells by hydroxide precipitates. At low algae concentrations, the minimum amount of ferric chloride required increases linearly with algae concentration, characteristic of flocculation primarily through electrostatic bridging by hydroxide precipitates. At higher algae concentrations, the minimum required concentration of ferric chloride for flocculation is independent of algae concentration, suggesting a change in the primary flocculation mechanism from bridging to sweep flocculation. Second, the algae must have a negative surface charge. Experiments and surface complexation modeling show that the surface charge of C. zofingiensis is negative above a pH of 4.0 ± 0.3 which agrees well with the minimum pH required for effective flocculation. These critical flocculation criteria can be extended to other freshwater algae to design effective flocculation systems.     

Polar/Ionizable Residues in Transmembrane Segments: Effects on Helix-Helix Packing

The vast majority of membrane proteins are anchored to biological membranes through hydrophobic α-helices. Sequence analysis of high-resolution membrane protein structures show that ionizable amino acid residues are present in transmembrane (TM) helices, often with a functional and/or structural role. Here, using as scaffold the hydrophobic TM domain of the model membrane protein glycophorin A (GpA), we address the consequences of replacing specific residues by ionizable amino acids on TM helix insertion and packing, both in detergent micelles and in biological membranes. Our findings demonstrate that ionizable residues are stably inserted in hydrophobic environments, and tolerated in the dimerization process when oriented toward the lipid face, emphasizing the complexity of protein-lipid interactions in biological membranes.     

Electrostatic coupling across a membrane with titratable surface groups

The potential drop across a membrane is calculated for the case of ionizable groups on both membrane surfaces. The presence of both acid and amine groups on the membrane surfaces is considered. The membrane surface potential is obtained from the non-linear Poisson-Boltzmann equation by treating the fraction of dissociated ionizable surface groups as a self-consistent functional of the electrostatic potential. A discussion of the error due to ignoring the electrostatic coupling of the potential across the membrane is presented. The error turns out to be quite small for most membrane problems of biological interest. Finally, the conductance data of Mozhayeva & Naumov (1970) for the frog node are reanalyzed within the context of the diffuse double layer theory. It is shown to be unnecessary to invoke a specific binding of divalent cations to the membrane.     

On the environment of ionizable groups in globular proteins

The environment of ionizable groups in 36 proteins is characterized in terms of solvent-accessibility, salt-bridge formation and hydrogen-bonding. Possible implications of our results as to the protonation state of buried ionizable groups are considered and patterns useful for model building studies on proteins are derived. The most interesting finding is that there are on average two completely buried ionizable groups per protein of which at least 20% do not form saltbridges. However, all buried ionizable groups form hydrogen bonds with neutral polar groups.     

Effect of surface ionization of dimyristoylphosphatidic acid vesicle membranes on the main phase-transition enthalpy and temperature

The main phase transition of phospholipid bilayers is a property expressed by the order-disorder conformational change of the lipid tails. Nevertheless, with ionizable phospholipids, changes in the surface charge have large effects on the membrane properties. The free energy of a charged phospholipid membrane depends on the degree of ionization, area per phospholipid molecule, and the temperature. Here, the effect of surface electrostatic charges on the temperature and the enthalpy of the main phase transition of dimyristoylphosphatidic acid vesicle membranes is analyzed. A simple equation is presented that describes the relationship among the surface charge density, the phase-transition temperature, the surface area ratio between solid and liquid membranes, and the excess enthalpy. The theory indicated that the pH-induced shift in the excess enthalpy is attributable to the change in the surface area ratio between the solid and liquid membranes.     

Thermodynamic characterization of proton‐ionizable functional groups on the cell surfaces of ammonia‐oxidizing bacteria and archaea

The ammonia‐oxidizing archaeon Nitrosopumilus maritimus strain SCM1 (strain SCM1), a representative of the Thaumarchaeota archaeal phylum, can sustain high specific rates of ammonia oxidation at ammonia concentrations too low to sustain metabolism by ammonia‐oxidizing bacteria (AOB). One structural and biochemical difference between N. maritimus and AOB that might be related to the oligotrophic adaptation of strain SCM1 is the cell surface. A proteinaceous surface layer (S‐layer) comprises the outermost boundary of the strain SCM1 cell envelope, as opposed to the lipopolysaccharide coat of Gram‐negative AOB. In this work, we compared the surface reactivities of two archaea having an S‐layer (strain SCM1 and Sulfolobus acidocaldarius) with those of four representative AOB (Nitrosospira briensis, Nitrosomonas europaea, Nitrosolobus multiformis, and Nitrosococcus oceani) using potentiometric and calorimetric titrations to evaluate differences in proton‐ionizable surface sites. Strain SCM1 and S. acidocaldarius have a wider range of proton buffering (approximately pH 10–3.5) than the AOB (approximately pH 10–4), under the conditions investigated. Thermodynamic parameters describing proton‐ionizable sites (acidity constants, enthalpies, and entropies of protonation) are consistent with these archaea having proton‐ionizable amino acid side chains containing carboxyl, imidazole, thiol, hydroxyl, and amine functional groups. Phosphorous‐bearing acidic functional groups, which might also be present, could be masked by imidazole and thiol functional groups. Parameters for the AOB are consistent with surface structures containing anionic oxygen ligands (carboxyl‐ and phosphorous‐bearing acidic functional groups), thiols, and amines. In addition, our results showed that strain SCM1 has more reactive surface sites than the AOB and a high concentration of sites consistent with aspartic and/or glutamic acid. Because these alternative boundary layers mediate interaction with the local external environment, these data provide the basis for further comparisons of the thermodynamic behavior of surface reactivity toward essential nutrients.     

Simplified methods for pKa and acid pH-dependent stability estimation in proteins: removing dielectric and counterion boundaries

Much computational research aimed at understanding ionizable group interactions in proteins has focused on numerical solutions of the Poisson-Boltzmann (PB) equation, incorporating protein exclusion zones for solvent and counterions in a continuum model. Poor agreement with measured pKas and pH-dependent stabilities for a (protein, solvent) relative dielectric boundary of (4,80) has lead to the adoption of an intermediate (20,80) boundary. It is now shown that a simple Debye-Huckel (DH) calculation, removing both the low dielectric and counterion exclusion regions associated with protein, is equally effective in general pKa calculations. However, a broad-based discrepancy to measured pH-dependent stabilities is maintained in the absence of ionizable group interactions in the unfolded state. A simple model is introduced for these interactions, with a significantly improved match to experiment that suggests a potential utility in predicting and analyzing the acid pH-dependence of protein stability. The methods are applied to the relative pH-dependent stabilities of the pore-forming domains of colicins A and N. The results relate generally to the well-known preponderance of surface ionizable groups with solvent-mediated interactions. Although numerical PB solutions do not currently have a significant advantage for overall pKa estimations, development based on consideration of microscopic solvation energetics in tandem with the continuum model could combine the large deltapKas of a subset of ionizable groups with the overall robustness of the DH model.     

Probing the active sites and mechanisms of rat metalloproteases meprin A and B

Meprin A and B are highly regulated, secreted and cell-surface homo- and hetero-oligomeric enzymes. Meprins are abundantly expressed in kidney and intestine. The multidomain alpha and beta subunits have high sequence identity, however they have very different substrate specificities, oligomerization potentials and are differentially regulated. Here we describe that meprin subunit activities are modulated differently by physico-chemical factors. Homo-oligomeric meprin B had an acidic pH optimum. The low pH protonation indicated the existence of at least two ionizable groups. An additional ionizable group generated a shoulder in the basic pH range. Homo-oligomeric meprin A had a neutral pH optimum and the activity curve revealed that two ionizable groups might be protonated at acidic pH similar to meprin B. Increasing the concentration of salt generally inhibited meprin B activity. Meprin A was inhibited at low salt concentrations but activated as salt was increased. This work has important implications in the elucidation of the catalytic mechanisms of meprins and other metalloproteases. In addition, the activity of meprin oligomers that arise in tissues will be affected by variations in pH and NaCl. This could have profound implications because meprins are exposed to a range of conditions in the extracellular milieu of renal and intestinal tissues and in inflammation and cancer.     

Role of cations in the flocculation of Saccharomyces cerevisiae and discrimination of the corresponding proteins

Asexual yeast flocculation was studied using strong flocculents of Saccharomyces cerevisiae. The inhibitory effect of cations on flocculation is considered to be caused by competition between those cations and Ca2+ at the binding site of the Ca(2+)-requiring protein that is involved in flocculation. Inhibition of flocculation by various cations occurred in the following order: La3+, Sr2+, Ba2+, Mn2+, Al3+, and Na+. Cations such as Mg2+, Co2+, and K+ promoted flocculation. This promoting effect may be based on the reduction of electrostatic repulsive force between cells caused by binding of these cations anionic groups present on the cell surface. In flocculation induced by these cations, trace amounts of Ca2+ excreted on the cell surface may activate the corresponding protein. The ratio of Sr2+/Ca2+ below which cells flocculated varied among strains: for strains having the FLO5 gene, it was 400 to 500; for strains having the FLO1 gene, about 150; and for two alcohol yeast strains, 40 to 50. This suggests that there are several different types of cell surface proteins involved in flocculation in different yeast strains.     

Effect of protons on the amidase activity of human alpha-thrombin. Analysis in terms of a general linkage scheme

The amidase activity of human alpha-thrombin has been studied in the pH range 5.5 to 10, and at four different chloride concentrations from 5 mM to 1 M. The Michaelis-Menten constant, Km, shows a bell-shaped dependence over the pH range studied, with a minimum around pH 8. The pH dependence of the catalytic constant, kcat, shows multiple inflection points especially at low (less than 0.1 M) chloride concentrations, thereby implicating the existence of multiple catalytic forms of the enzyme. A general linkage scheme is proposed for the analysis of the effect of protons on thrombin amidase activity, and experimental data have globally been analysed over the entire pH range in terms of such a scheme. Four proton-linked ionizable groups seem to be involved in the control of thrombin amidase activity. Two of these groups change their pK value upon substrate binding to the enzyme and account for the pH dependence of Km. All four groups control the catalytic activity of the enzyme which decreases with increasing protonation. Chloride has little effect on Km, while kcat changes significantly at pH less than 8. This effect is due to an increased enzymatic activity of the highly protonated intermediates at high chloride concentrations, as well as to the pK shift of two proton-linked ionizable groups.     

Multiple-site titration and molecular modeling: Two rapid methods for computing energies and forces for ionizable groups in proteins

Computer models of proteins frequently treat the energies and forces associated with ionizable groups as if they were purely electrostatic. This paper examines the validity of the purely electrostatic approach, and concludes that significant errors in energies can result from the neglect of ionization changes. However, a complete treatment of ionizable groups presents substantial computational obstacles, because of the large number of ionization states which must be examined in systems having multiple interacting titratable groups. In order to address this problem, two novel methods for treating the energetics and forces associated with ionizable groups with a minimum of computer time have been developed. The most rapid method yields approximate energies by computing the free energy of a single highly occupied ionization state. The second method separates ionizable groups into clusters, and treats intracluster interactions exactly, but intercluster interactions approximately. This method yields both accurate energies and fractional charges. Good results are obtained in tests of both methods on proteins having has many as 123 ionizable groups. The more rapid method requires computer times of 0.01 to 0.34 sec, while the more accurate method requires 0.7 to 15 sec. These methods may be fast enough to permit the incorporation of ionization effects in iterative computations, such as energy minimizations and conformational searches. © 1993 Wiley-Liss, Inc.     

Mechanisms of yeast flocculation: comparison of top- and bottom-fermenting strains.

The flocculation of two brewing yeast strains, top-fermenting strain Saccharomyces cerevisiae MUCL 38485 and bottom-fermenting strain Saccharomyces carlsbergensis MUCL 28285, has been investigated by means of a turbidimetric test. The two strains showed different electrical properties, a different hydrophobicity, and a different surface chemical composition. They flocculated according to completely different mechanisms; however, no correlation between the cell physicochemical properties and the onset of flocculation was found for either strain. Flocculation of the bottom strain was governed by a lectin-mediated mechanism. It was inhibited by mannose and some other sugars, required calcium specifically, occurred in a narrow pH range different from the isoelectric point, and was not influenced by ethanol. The onset of flocculation at the end of the exponential phase was controlled both by the appearance of "active" lectins at the cell surface and by the decrease in sugar concentration in the solution. Flocculation of the top strain was not inhibited by mannose, did not require the addition of calcium, and took place at the cell isoelectric point. Low concentrations of ethanol broadened the pH range in which the cells flocculated, and flocculation was favored by an increase of ionic strength. Adsorbed ethanol may induce flocculation by reducing the electrostatic repulsion between cells, by decreasing steric stabilization, and/or by allowing the protrusion of polymer chains into the liquid phase. The onset of flocculation was controlled by both a change of the cell surface and an increase in ethanol concentration. The only evidence for an adhesin-mediated mechanism was the specific requirement for a small amount of calcium.     

Hydrogen-ion titration studies on erythrocyte membranes.

1. H+ titration was used to detect the presence of ionizable groups on human erythrocyte plasma membranes. Between pH2.9 and 11.3, two significant peaks of H+ association/dissociation occur in the differential from of the titration curve, one at pH3. 1. And the other at pH10.3. 2. After disruption of membrane structure by exposure to high pH or by the addition of sodium dodecyl sulphate, maxima of H+ association/dissociation were seen at pH3.1,4.3,6.5,10.3 and 10.7. 3. Spectrophotometric assay and selective chemical treatments were used to identify several of the titratable residues. 4. The degree of eleectrostatic interaction between titratable charged groups was investigated by comparing the titration characteristics of the membranes before and after modification of membrane structure.     

Schistosoma mansoni: L-lysil residues in agglutination of mouse erythrocytes by acid phospholipids of parasite membranes

The agglutination of mouse erythrocytes caused by acid phospholipids of Schistosoma mansoni membranes is strongly inhibited by l-lysine; other amino acids do not interfere with the reaction. The inhibitory effect observed after treatment of mouse erythrocytes with low concentrations of glutaraldehyde confirms that l-lysil residues are present on the surface of the erythrocytes and that, probably, protonated ?-amino groups are responsible for the susceptibility of these cells to the agglutination by worm membranes in physiological conditions. There is a possible role for lysil-phospholipid interactions in the host-parasite relationships.     

The uptake of protons by heme-linked ionizable groups on azide binding to methemoglobin

When azide ion reacts with methemoglobin in unbuffered solution the pH of the solution increases. This phenomenon is associated with increases in the pK values of heme-linked ionizable groups on the protein which give rise to an uptake of protons from solution. We have determined as a functional of pH the proton uptake, delta h+, on azide binding to methemoglobin at 20 degrees C. Data for methemoglobins A (human), guinea pig and pigeon are fitted to a theoretical expression based on the electrostatic effect of these sets of heme-linked ionizable groups on the binding of the ligand. From these fits the pK values of heme-linked ionizable groups are obtained for liganded and unliganded methemoglobins. In unliganded methemoglobin pK1, which is associated with carboxylic acid groups, ranges between 4.0 and 5.5 for the three methemoglobins; pK2, which is associated with histidines and terminal amino groups, ranges from 6.2 to 6.7. In liganded methemoglobin pK1 lies between 5.8 and 6.3 and pK2 varies from 8.1 to 8.5. The pH dependences of the apparent equilibrium constants for azide binding to the three methemoglobins at 20 degrees C are well accounted for with the pK values calculated from the variation of delta h+ with pH.