Evidence for cooperative effects in the binding of polyvalent metal ions to pure phosphatidylcholine bilayer vesicle surfaces

An internal NMR monitor for the study of lanthanide ion (Ln³⁺) binding to phospholipid bilayer membranes has been developed. The dimethylphosphate anion, DMP^-, forms labile complexes with Ln³⁺ in aqueous solution and in solutions also containing bilayer dispersions. The hyperfine shift in the DMP^- resonance induced by Pr³⁺ ions has been used to determine the overall thermodynamic formation constants for the Pr(DMP)²⁺ and Pr(DMP)₂⁺ complexes: 81 (M^-1) and 349 (M^-2) at 52°C; the limiting hyperfine shift (³¹P) at 52°C is 91.5 ppm downfield. These parameters, applied to the observed DMP^- hyperfine shift in the presence of the membrane, establish both the free Pr³⁺ concentration and the amount of Pr³⁺ bound to the phospholipid surface. Extensive data for the binding of Pr³⁺ to the outer surfaces of sonicated vesicles yield a limiting hyperfine shift per Pr³⁺ of 181.6 ppm downfield for the dipalmitoylphosphatidylcholine ³¹P resonance at 52°C, clearly demonstrating that the binding stoichiometry is two DPPCs per Pr³⁺. A Hill analysis indicates that the binding data are more anti-cooperative than a realistic Langmuir isotherm, yet more cooperative than a Stern isotherm incorporating electrostatic considerations at the Debye-Hückel level. Fittings to specific models lead to a cooperative model in which tense (T) sites, with low affinity for Pr³⁺, present in the absence of metal ions, quickly give way to relaxed (R) sites (two DPPCs per site), with much higher affinity for Pr³⁺, as the amount of Pr³⁺ bound to the surface increases. The intrinsic equilibrium constants for the binding of Pr³⁺ to DPPC vesicles are 2 M^-1 and 3 000 M^-1 for the T and R sites, respectively, at 52°C. The distribution coefficient between these sites ([R]/[T]) in the absence of Ln³⁺ is 0.14 at 52°C. We picture the binding site conversion as a head-group conformational change involving mostly the choline moiety. Sketchy results for binding on the inside vesicle surface indicate that the overall affinity for Pr³⁺ is significantly greater and suggest that the site stoichiometry may be different.