title: A beta-cyclodextrin based fiber-optic chemical sensor: a fractal analysis.
abstract: A fractal analysis is presented for the binding of pyrene in solution to beta-cyclodextrin attached to a fiber-optic chemical sensor. The specific (k(l)) and non-specific binding rate coefficients and the fractal dimension (D(f)) (specific binding case only) both tend to increase as the pyrene concentration in solution increases from 12.4 to 124 ng ml(-1). Predictive relations for the binding rate coefficient (specific as well as non-specific binding) and for D(f) (specific binding case only) as a function of pyrene concentration are provided. These relations fit the calculated k(l) and D(f) values in the pyrene concentration range reasonably well. Fractal analysis data seem to indicate that an increase in the pyrene concentration in solution increases the "ruggedness" or inhomogeneity on the fiber-optic biosensor surface. The fractal analysis provides novel physical insights into the reactions occuring on the fiber-optic chemical surface and should assist in the design of fiber-optic chemical sensors.
authors.affiliation: Health Sciences Research Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6101, USA; Chemical Engineering Department, University of Mississippi, University, MS 38677-9740, USA.
authors.forename: A
authors.initials: A
authors.lastname: Sadana
authors.forename: J P
authors.initials: JP
authors.lastname: Alarie
authors.forename: T
authors.initials: T
authors.lastname: Vo-Dinh