Ca 2+ /Mg 2+ exchange in parvalbumin and other EF-hand proteins. A theoretical study

A remarkable conformational rearrangement occurs upon Ca2+/Mg2+ exchange in the C-terminal EF-hand site (labelled site EF or EF-4) of parvalbumin, as initially established by X-ray crystallography. Such a conformational rearrangement is characterised as follows: (i) the co-ordination number decreases from seven oxygen atoms in the Ca-loaded form to six oxygen atoms in the Mg-loaded form, the heptaco-ordination of Ca2+ corresponding with a skewed pentagonal bipyramid configuration of the seven oxygen atoms, whereas the hexaco-ordination of Mg2+ corresponds with a regular octahedral configuration of the six oxygen atoms; and (ii) Glu101, at the relative position 12 in the EF-hand loop sequence (labelled "Glu12"), acts as a bidentate ligand in the Ca-loaded form and as a monodentate ligand in the Mg-loaded form. As part of the conformational rearrangement, the chi1 dihedral angle undergoes a gauche(+) to gauche(-) transition upon substitution of Ca2+ by Mg2+, whereas the chi2 angle remains practically unchanged and the chi3 angles in both forms adopt a nearly mirror image relationship. In order to understand the molecular mechanisms underlying such a conformational rearrangement, we undertook a theoretical study using the free energy perturbation (FEP) method, starting from high-resolution crystal structures of the same parvalbumin (pike 4. 10 isoform) differing by the substitution of their two cationic sites EF-3 (or CD) and EF-4 (or EF), i.e. the 1pal structure with EF-3(Ca2+) and EF-4(Ca2+), the 4pal structure with EF-3(Ca2+) and EF-4(Mg2+). When Mg2+ is "alchemically" transformed into Ca2+ within the EF-4 site of 4pal, the conformational rearrangement of Glu12 is correctly predicted by the FEP calculation. When Ca2+ is transformed into Mg2+ within the EF-3 site of 4pal, the FEP calculation predicts the topology of the fully Mg-loaded form for which no crystallographic data is presently available. As expected, Glu62 (at the relative position 12 in EF-3 loop) is predicted to be a monodentate residue within a regular octahedral arrangement of six oxygen atoms around Mg2+. We also investigated the behaviour during Ca2+/Mg2+ exchange of two other typical EF-hand proteins, troponin C (TnC) and calmodulin (CaM), for which no three-dimensional structure of their Mg-loaded forms is available so far. It is also predicted that the EF-3 site of TnC and the EF-1 site of CaM have their invariant Glu12 residues switching from the bidentate to the monodentate configuration when Ca2+ is substituted by Mg2+, with six oxygen atoms being observed in the co-ordination sphere of the alchemically generated Mg2+ cation