Biomolecular Interaction analysis using an optical surface plasmon resonance biosensor: The marquardt algorithm vs Newton iteration algorithm

Abstract

Kinetic analysis of biomolecular interactions are powerfully used to quantify the binding kinetic constants for the determination of a complex formed or dissociated within a given time span. Surface plasmon resonance biosensors provide an essential approach in the analysis of the biomolecular interactions including the interaction process of antigenantibody and receptors-ligand. The binding affinity of the antibody to the antigen (or the receptor to the ligand) reflects the biological activities of the control antibodies (or receptors) and the corresponding immune signal responses in the pathologic process. Moreover, both the association rate and dissociation rate of the receptor to ligand are the substantial parameters for the study of signal transmission between cells. A number of experimental data may lead to complicated real-time curves that do not fit well to the kinetic model. This paper presented an analysis approach of biomolecular interactions established by utilizing the Marquardt algorithm. This algorithm was intensively considered to implement in the homemade bioanalyzer to perform the nonlinear curve-fitting of the association and disassociation process of the receptor to ligand. Compared with the results from the Newton iteration algorithm, it shows that the Marquardt algorithm does not only reduce the dependence of the initial value to avoid the divergence but also can greatly reduce the iterative regression times. The association and dissociation rate constants, k a, k d and the affinity parameters for the biomolecular interaction, K A, K D, were experimentally obtained 6.969×10 5 mL· g -1 s -1, 0.00073 s -1, 9.5466×10 8 mL· g -1 and 1.0475×10 -9 g· mL -1, respectively from the injection of the HBsAg solution with the concentration of 16ng· mL -1. The kinetic constants were evaluated distinctly by using the obtained data from the curve-fitting results.