A Fracatal Analysis of Analyte-Receptor Binding and Dissociation Kinetics in Microcantilever Biosensors
Melissa J. English, Anand Ramakrishnan and
Ajit Sadana (
)
Chemical Engineering Department, University of Mississippi, P.O. Box 1848,
University, MS 38677, USA
A fractal analysis which takes into account the affect of surface
heterogeneity on the biosensor surface is presented. The fractal analysis is
of a confirmative nature only and it is presented for the binding and
dissociation (where ever it is applicable) for (i) Chromate ion in solution to
a SAM coated microcantilever surface (Ji et al., 2001) and (ii) two
hybridization reactions occurring on microcantilever surfaces (Fritz et al.,
2000 and Hansen et al., 2001). The heterogeneity on the microcantilever
surface is mainly due to either (i)the nature of the surface, (ii) nature of
the immobilizing ligand or (iii)the immobilization method. The data taken from
the literacture can be modeled using a single- or a dual-fractal analysis
where ever appropriate. Predictive relationships were also developed for the
binding rate coefficient as a function of the fractal dimension and analyte
concentration in solution. The binding and the dissociation rate coefficients
are very sensitive to the degree of heterogeneity that exists on the
microcantilever surface. For the reactions analyzed the binding and the
dissociation rate coefficients increase with an increase in the degree of
heterogeneity on the microcantilever surface. For one of the hybridization
reactions analyzed (Hansen et al., 2001) the binding rate coefficient
increases with the number of bases (25-mer and 9-mer) present in the oligomer
(analyte) in solution. The analysis should assist in placing the
analyte-receptor reactions occurring on microcantilever systems on a kinetic
basis.
Keywords: microcantilevers, binding, dissociation, kinetics, fractals