Adsorption of monovalent cations to bilayer membranes containing negative phospholipids.

The electrophoretic mobilities of multilamellar phosphatidylserine vesicles were measured in solutions containing monovalent cations, and the xi potentials, the electrostatic potentials at the hydrodynamic plane of shear, were calculated from the Helmholtz--Smoluchowski equation. In the presence of 0.1 M lithium, sodium, ammonium, potassium, rubidium, cesium, tetraethylammonium, and tetramethylammonium chloride, the xi potentials were -60, -62, -72, -73, -77, -80, -82, and -91 mV, respectively. Similar results were obtained with phosphatidylglycerol vesicles; different results were obtained with cardiolipin, phosphatidylinositol, and phosphatidic acid vesicles. The phosphatidylserine results are interpreted in terms of the Stern equation, a combination of the Gouy equation from the theory of the diffuse double layer, the Boltzmann relation, and the Langmuir adsorption isotherm. Evidence is presented that suggests the hydrodynamic plane of shear is 2 A from the surface of the membrane in solutions containing the alkali metal cations. With this assumption, the intrinsic association constants of the above monovalent cations with phosphatidylserine are 0.8, 0.6, 0.17, 0.15, 0.08, 0.05, 0.03, and 0 M-1, respectively. The validity of this approach was tested in two ways. First, the xi potentials of vesicles formed from mixtures of phosphatidylserine and a zwitterionic lipid, phosphatidylcholine, were measured in solutions containing different concentrations of sodium. All the data could be described by the Stern equation if the "relaxation" of the ionic atmosphere, which is predicted by classic electrostatic and hydrodynamic theory to occur at low salt concentrations and high potentials, was circumvented by using only large (diameter greater than 13 micrometers) vesicles for these measurements. Second, the fluorescent probe 2-(p-toluidinyl)naphthalene-6-sulfonate was used to estimate the potential at the surface of phosphatidylserine and phosphatidylglycerol vesicles sonicated in 0.1 M NaCl. Reasonable agreement with the predicted values of the surface potential was obtained.     

Adsorption of monovalent and divalent cations by phospholipid membranes. The monomer-dimer problem.

A generalization of the Stern theory is derived to treat the simultaneous adsorption of monovalent cations and divalent cations by single-component phospholipid membranes, where the ion:phospholipid binding stoichiometries are 1:1 for the monovalent cations and 1:1 and/or 1:2 for the divalent cations. This study treats both the situation in which the monovalent and divalent cations compete for membrane binding sites and that in which they do not compete. The general formalism of the screening/binding problem is reviewed, and it is shown how the adsorption problem can be isolated from the electrostatics. The statistical mechanics of mixed 1:1- and 1:2-stoichiometric adsorption (the monomer-dimer problem) is treated, and the problem of simultaneous 1:1 and 1:2 binding is solved. A simple expression for this solution, given in the Bethe approximation, is combined with the electrostatics to yield an adsorption isotherm encompassing both 1:1 monovalent-cation, and 1:1 and 1:2 divalent-cation, binding to charged membranes. A comparison with the simplified treatment of previous authors is made and the significance of their assumptions clarified in light of the present result. The present and previous treatments are plotted for a representative case of Na+ and Ca++ binding to a phosphatidylserine membrane. Criteria are established to permit unambiguous experimental testing of the present vs. previous treatments.     

Adsorption of divalent cations to bilayer membranes containing phosphatidylserine

The Stern equation, a combination of the Langmuir adsorption isotherm, the Boltzmann relation, and the Grahame equation from the theory of the diffuse double layer, provides a simple theoretical framework for describing the adsorption of charged molecules to surfaces. The ability of this equation to describe the adsorption of divalent cations to membranes containing brain phosphatidylserine (PS) was tested in the following manner. Charge reversal measurements were first made to determine the intrinsic 1:1 association constants of the divalent cations with the anionic PS molecules: when the net charge of a PS vesicle is zero one-half of the available sites are occupied by divalent cations. The intrinsic association constant, therefore, is equal to the reciprocal of the divalent cation concentration at which the mobility of a PS vesicle reverses sign. The Stern equation with this association constant is capable of accurately describing both the zeta potential data obtained with PS vesicles at other concentrations of the divalent cations and the data obtained with with vesicles formed from mixtures of PS and zwitterionic phospholipids. Independent measurements of the number of ions adsorbed to sonicated PS vesicles were made with a calcium-sensitive electrode. The results agreed with the zeta potential results obtained with multilamellar vesicles. When membranes are formed at 20 degrees C in 0.1 M NaCl, the intrinsic 1:1 association constants of Ni, Co, Mn, Ba, Sr, Ca, and Mg with PS are 40, 28, 25, 20, 14, 12, and 8 M-1, respectively.     

Network formation in negative charged membranes by two divalent cations and the catastrophe

The ligands of Ca2+-Cu2+-phosphatidylserine (PS) complexes in membrane networks at the water-oil interface through the symmetry breaking instability and the head groups of PS molecules were changed into a solid-like state. A first step in this transition is described by the following scheme in one unit in which the molar ratio is Ca2+: Cu2+: PS = 1:2:4; [Oh]+2[Oh]*----3[Oh]*, where [Oh]* denotes a little distorted ligand structure [LnM2+...2H2O] from [LnM2+2H2O], where Ln is PS molecules (n = 2 to Cu2+ and 4 to Ca2+). All the ligands are changed to [D4h] by the unit-unit interaction due to the network formation; [Oh]*----[D4h]. The whole system is equivalent to Schl?gl's scheme and is given by a cubic state equation for suitable variables transformations: x = -x3 - ux - v, where x corresponds to the concentration of [Oh]*, and u and v are related to rate constants in the first and the second steps, and they also depend on the initial [Oh] and the final [D4h] concentrations. This system is transferred into a new state with a cusp catastrophe.     

Comparison of the hammerhead cleavage reactions stimulated by monovalent and divalent cations

Although the hammerhead reaction proceeds most efficiently in divalent cations, cleavage in 4 M LiCl is only approximately 10-fold slower than under standard conditions of 10 mM MgCl2 (Murray et al., Chem Biol, 1998, 5:587-595; Curtis & Bartel, RNA, 2001, this issue, pp. 546-552). To determine if the catalytic mechanism with high concentrations of monovalent cations is similar to that with divalent cations, we compared the activities of a series of modified hammerhead ribozymes in the two ionic conditions. Nearly all of the modifications have similar deleterious effects under both reaction conditions, suggesting that the hammerhead adopts the same general catalytic structure with both monovalent and divalent cations. However, modification of three ligands previously implicated in the binding of a functional divalent metal ion have substantially smaller effects on the cleavage rate in Li+ than in Mg2+. This result suggests that an interaction analogous to the interaction made by this divalent metal ion is absent in the monovalent reaction. Although the contribution of this divalent metal ion to the overall reaction rate is relatively modest, its presence is needed to achieve the full catalytic rate. The role of this ion appears to be in facilitating formation of the active structure, and any direct chemical role of metal ions in hammerhead catalysis is small.     

The permeability of endplate channels to monovalent and divalent metal cations

The relative permeability of endplate channels to monovalent and divalent metal ions was determined from reversal potentials. Thallium is the most permeant ion with a permeability ratio relative to Na+ of 2.5. The selectivity among alkali metals is weak with a sequence, Cs+ greater than Rb+ greater than K+ greater than Na+ greater than Li+, and permeability ratios of 1.4, 1.3, 1.1, 1.0, and 0.9. The selectivity among divalent ions is also weak, with a sequence for alkaline earths of Mg++ greater than Ca++ greater than Ba++ greater than Sr++. The transition metal ions Mn++, Co++, Ni++, Zn++, and Cd++ are also permeant. Permeability ratios for divalent ions decreased as the concentration of divalent ion was increased in a manner consistent with the negative surface potential theory of Lewis (1979 J. Physiol. (Lond.). 286: 417--445). With 20 mM XCl2 and 85.5 mM glucosamine.HCl in the external solution, the apparent permeability ratios for the alkaline earth cations (X++) are in the range 0.18--0.25. Alkali metal ions see the endplate channel as a water-filled, neutral pore without high-field-strength sites inside. Their permeability sequence is the same as their aqueous mobility sequence. Divalent ions, however, have a permeability sequence almost opposite from their mobility sequence and must experience some interaction with groups in the channel. In addition, the concentrations of monovalent and divalent ions are increased near the channel mouth by a weak negative surface potential.     

Pyruvate kinase: Activation by and catalytic role of the monovalent and divalent cations

Summary This mini review is primarily concerned with the monovalent and divalent cation activation of pyruvate kinase. All preparations of pyruvate kinase from vertebrate tissue which have been examined require monovalent cations such as K⁺ for catalysis. However, several microbial preparations are not activated by monovalent cations. In fact,E. coli synthesizes depending on growth conditions, 2 different forms of the enzyme; one form is not activated while the other is activated by monovalent cations. The monovalent cation was shown by NMR techniques to bind within 4–8 ? of the divalent cation activat or and apparently plays a direct role in the catalytic process. As with all kinases, pyruvate kinase requires a divalent cation for catalysis. Mg⁺² is optimal for the physiological reaction, however, Co⁺², Mn⁺², and Ni⁺² also activate. The divalent cation activation of several non-physiological reactions catalyzed by pyruvate kinase are reviewed. Several lines of evidence suggest that 2 moles of the divalent cation are required in the catalytic event. However, the specific role of both atoms in the catalytic event have not been thoroughly elucidated.     

Adsorption of uni and divalent cations to planar bilayer membranes containing sulphatides or phosphatidylserine

It has been postulated that sulphatides may be the K+ binding site of the sodium pump. In order to test this hypothesis we studied the binding of K+ to bilayer membranes containing sulphatides or phosphatidylserine. The adsorption constants of Na+, K+ and Ca2+ to planar bilayers containing these acidic lipids were determined from changes in the electrostatic potential at the membrane surface. Our results indicate that univalent cations adsorb weakly to both lipids and Ca2+ binds more strongly. The sequence of ion binding was Ca2+ greater than Na+ greater than K+. These results indicate that K+ does not bind specifically to sulphatides or phosphatidylserine and rule out the proposal that sulphatides by themselves provide the K+ binding site of the sodium pump.     

Mass-action formulations of monovalent and divalent cation adsorption by phospholipid membranes.

An extension of a previous treatment (Cohen, J. A., and M. Cohen, 1981, Biophys. J., 36:623-651) is presented for the adsorption of monovalent and divalent cations by single-component phospholipid membranes, where monovalent cations adsorb with a cation/phospholipid stoichiometry of 1:1 and divalent cations adsorb with stoichiometries of 1:1 and 1:2. Previously the 1:1 and 1:2 binding of divalent cations were assumed to occur by independent, parallel pathways. Here a serial adsorption scheme is considered in which 1:2 binding occurs via reaction of 1:1-bound complexes with adjacent unoccupied phospholipids. This two-dimensional lattice reaction is shown to obey a law of mass action, and the mass-action equilibrium constant is used to parameterize the adsorption isotherm. This isotherm is shown to be mathematically equivalent to the previous isotherm, although the two formulations differ in the dependence of 1:2 binding on the 1:1 association constant.     

A hydrophobic region on myosin light chains modulated by divalent cations

A hydrophobic region was detected on several types of myosin light chain by enhancement of the quantum yield of 1-anilino-8-naphthalenesulfonate (ANS) fluorescence. The character of this non-polar region was altered by the binding of Ca2+ or Mg2+ to the light chain, the quantum yield of the ANS being increased, and its emission maximum undergoing a blue-shift. These changes enabled the binding of divalent cations to the myosin light chains to be monitored. When Ca2+ was bound to gizzard regulatory light chain, a biphasic enhancement of light-chain-bound ANS fluorescence occurred, the first phase taking place in the micromolar range and the second in the millimolar range of free Ca2+ concentration. Enhancement of protein-bound ANS fluorescence as divalent cations were bound was also observed with other types of myosin light chain.     

Interactions of divalent cations with phosphatidylserine bilayer membranes

The interaction of divalent cations with a homologous series of diacylphosphatidylserines (diacyl-PS) has been studied by differential scanning calorimetry and X-ray diffraction. Hydrated di-C14-PS (DMPS) exhibits a gel leads to liquid-crystal bilayer transition at 39 degrees C (delta H = 7.2 kcal/mol of DMPS). With increasing MgCl2 concentration, progressive conversion to a phase exhibiting a high melting (98 degrees C), high enthalpy (delta H congruent to 11.0 kcal/mol of DMPS) transition is observed. Similar behavior is observed for DMPS with increasing CaCl2 concentration. In this case, the high-temperature transition of the Ca2+-DMPS complex occurs at approximately 155 degrees C and is immediately followed by an exothermic transition probably associated with PS decomposition. For di-C12-, di-C14-, di-C16- (DPPS), and di-C18-PS, the transition temperatures of the Ca2+-PS complexes are in the range 151-155 degrees C; only di-C10-PS exhibits a significantly lower value, 142 degrees C. A different pattern of behavior is exhibited by DPPS in the presence of Sr2+ or Ba2+, with transitions in the range 70-80 degrees C being observed. X-ray diffraction of the Ca2+-PS complexes at 20 degrees C provides evidence of structural homology. All Ca2+-PS complexes exhibit bilayer structures, the bilayer periodicity increasing linearly from 35.0 A for di-C10-PS to 52.5 A for di-C18-PS. Wide-angle X-ray diffraction data indicate that hydrocarbon chain "crystallization" occurs on Ca2+-PS complex formation.(ABSTRACT TRUNCATED AT 250 WORDS)