Antigen-antibody diffusion-limited binding kinetics for biosensors: A fractal analysis

A fractal analysis is presented for the binding of benzopyrene-tetraol (BPT) in solution to anti-BPT attached to diol silica beads in a fiber-optic antibody-based biosensor. The binding rate coefficient, k1, and the fractal dimension, Df, both increase as the BPT concentration in solution increases from 3 × 10-9 to 1.59 × 10-8 M. Predictive relations for k1 (Sets 1 and 2) and for Df (Set 2 only) as a function of BPT concentration are provided. These relations fit the calculated k1 and Df values in the BPT concentration range reasonably well. Fractal analysis data seem to indicate that an increase in the BPT concentration in solution increases the 'roughness' or the state of disorder on the fiber-optic biosensor surface. Fractal analysis data provide novel physical insights into the reactions occurring on the fiber-optic biosensor surface and should assist in the design of fiber-optic biosensors.

Duke Scholars

Author Tuan Vo-Dinh Biomedical Engineering