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- W3022250839 abstract "This chapter presents the theory behind the single-, dual-, and triple-fractal analysis and presents the expressions for both the binding and the dissociation phases. A biosensor system, wherein either the antigen, antibody, analyte, or substrate is attached to the surface, along with its different complexities, which include heterogeneities on the surface and in solution, diffusion-coupled reaction, time-varying adsorption or binding rate coefficients, can be characterized as a fractal system. The interaction between the analyte and the receptor on the solid biosensor surface is detected either by a change in the refractive index or by changes in the fluorometric intensity or ultraviolet light intensity. The SPR biosensor protocol analyzes the binding, dissociation where applicable, and kinetic curves by using classical saturation models involving analyte–receptor binding with 1:1, 1:2, ratios, generally under diffusion-free conditions and assuming that the receptors are homogeneously distributed over the sensor surface. In analyte–receptor binding the analyte–receptor binds with the active site on the surface and the product is released. In this sense the catalytic surface exhibits an unchanging fractal surface to the reactant in the absence of fouling and other complications. In the case of analyte–receptor association, the biosensor surface exhibits a changing fractal surface to the analyte in solution. One resorts to a triple-fractal analysis if the dual-fractal analysis does not provide a reasonable fit. The equation for the fractal analysis equation is generic in nature, and one may easily extend the single- and the dual-fractal analysis equations to describe the binding and/or the dissociation kinetics for a triple-fractal analysis." @default.
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- W3022250839 date "2006-01-01" @default.
- W3022250839 modified "2023-10-16" @default.
- W3022250839 title "Modeling and Theory" @default.
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- W3022250839 doi "https://doi.org/10.1016/b978-044452784-4/50003-4" @default.
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