Enhancing the relaxivity of paramagnetic coordination complexes through the optimization of the molecular electrostatic potential

The low relaxivity of paramagnetic coordination complexes limits their use as contrast agents in magnetic resonance imaging (MRI). To address this problem, we study the relationship between the molecular structure of these complexes and their relaxivity. While others have investigated the vibrational modes as molecular determinants of the electronic spin relaxation time, we focus on the analysis of the molecular electrostatic potential (MEP) of the paramagnetic coordination complex. Electrostatic forces dominate the interaction between the coordination complex and water. Hence, in addition to steric forces, the molecular electrostatic potential should be a determinant of the lifetime of the water-metal link (tm), the internuclear distance between the water hydrogens and the metal (R), and the number of water molecules attached to the metal in the inner and outer spheres of coordination. We compute the molecular electrostatic potential for a series of model metalloporphyrins because their physical and biologic properties are well known, and they are putative magnetic resonance imaging contrast agents with affinity to neoplastic tissue. Replacing the sulfonato groups in MnTPPS4 with carboxylate groups in the ortho position of the phenyl rings attached to the meso carbons results in an electrostatic focusing field that should reduce R and increase tm. Similar substitutions involving polar groups, including one modeled after a well-known picket-fence porphyrin, are not strong enough to generate a focusing field. Instead, these polar groups should modulate the water-metal interactions through steric interactions. Molecular dynamic simulations show a large outer sphere of coordination around the paramagnet that extends almost three times the distance of the inner sphere of coordination.