Hydrodynamic steering effects in protein association.

Protein-ligand reaction rates are often limited by the rate of diffusional encounter of the protein and ligand in solution. Reaction rates, however, can be much greater than expected, given the necessity for correct orientation before reaction. A number of forces can affect the orientation of the protein and ligand in solution, and thus increase the reaction rate. We have considered hydrodynamic forces, produced when water molecules between protein and ligand must be pushed out of the way to allow their encounter. We have used the cleft enzymes as a model system, as they could be expected to show strong hydrodynamic effects. One particular type of hydrodynamic interaction stands out: a steering torque which occurs when the enzyme and substrate move toward each other in solution. The magnitude of this steering torque is compared to the mutual torque experienced by interacting "protein-sized" dipoles in solution. A simple model is used to demonstrate that the hydrodynamic steering torque can be 2 orders of magnitude greater than the electrostatic torque.