Second-order kinetic analysis of IAsys biosensor data: its use and applicability.

The kinetic analysis of IAsys biosensor association data usually relies upon the assumption of constant ligate concentration. In certain circumstances this assumption may no longer be valid. In a similar vein, the analysis of the dissociation phase assumes the concentration of ligate to be negligible in the liquid phase-an assumption that may not be sustainable for high-affinity interactions. In this paper we derive analytical solutions of the second-order differential kinetic equations for the association and dissociation phases, together with a binding isotherm that also allows for changes in concentration of both the ligand and the ligate. Using these equations it is possible to determine the conditions under which the pseudo-first-order assumption ceases to be valid. It is found that the effect of ligate depletion on the association rate constant becomes significant only when binding low ligate concentrations to ligand on surfaces with high binding capacities or high affinities. Similarly, the rebinding in the dissociation phase is dependent upon the affinity and the ligand capacity together with the starting dissociation response compared to the capacity. Finally, depletion also affects the form of the binding isotherm, particularly in situations involving high matrix capacities for ligate and high-affinity interactions.