A Fractal Analysis Approach for the Evaluation of Hybridization Kinetics in Biosensors

Fractal Analysis of Binding and Dissociation of Protein–Analyte Interactions on Biosensor Surfaces

“…The details of the theory and the equations involved for the binding and the dissociation phases for analyte-receptor binding are available [4]. The details are not repeated here; except that just the equations are given to permit an easier reading.…”

“…The details are not repeated here; except that just the equations are given to permit an easier reading. These equations have been applied to other biosensor systems [4][5][6]. For most applications, a single-or a dual-fractal analysis is often adequate to describe the binding and the dissociation kinetics.…”

Fractal binding and dissociation kinetics of lecithin cholesterol acyl transferase (LCAT), a heart-related compound, on biosensor surfaces

“…These equations have been applied to other biosensor systems. 12,13 For most applications, a single-or a dual-fractal analysis is often adequate to describe the binding and the dissociation kinetics. Peculiarities in the values of the binding and the dissociation rate coefficients, as well as in the values of the fractal dimensions with regard to the dilute analyte systems being analyzed will be carefully noted, if applicable.…”

Medical Applications of Biosensors

“…This is just one possible way to analyze the kinetics. The details of the theory and the equations involved for the binding and the dissociation phases for analyte-receptor binding are available (Sadana, 2001) in the literature. As indicated earlier, throughout the book, other ways of obtaining the binding and dissociation kinetics are also available; though these other methods do not account for either the heterogeneity on the biosensor surface or the presence of external diffusional limitations.…”

“…The fractal analysis method provides one with the values of the binding and the dissociation rate coefficient values as well as the fractal dimension (the degree of heterogeneity) values on the biosensor chip surface. These equations have been applied to other biosensor systems (Ramakrishnan and Sadana, 2001;Sadana, 2001). Havlin (1989) has reviewed and analyzed the diffusion of reactants towards fractal surfaces.…”