Diffusion-limited kinetics of adsorption of biomolecules on supported nanoparticles

We derive general equations describing the diffusion-limited kinetics of irreversible adsorption of biomolecules on nanoparticles, fabricated on a flat surface, in the case of no hydrodynamic flow in the solution. Under such conditions, the gradients in the concentration of biomolecules occur near the surface, while in more remote regions the gradients may or may not be significant depending on the surface concentration and size of nanoparticles and the bulk concentration of biomolecules. The equations obtained make it possible to understand the conditions of realization of various regimes of adsorption.