Complex formation of 2′R-OTA with HSA was examined applying the Stern-Volmer equation: where I and I0 denote the fluorescence intensities of HSA in the absence and presence of 2′R-OTA, respectively. KSV (with the unit of L/mol) is the Stern-Volmer quenching constant and [Q] is the molar concentration of the quencher (2′R-OTA). In order to eliminate the inner-filter effect, UV-Vis spectrum of 2′R-OTA was recorded using a Specord Plus 210 spectrophotometer (Analytic Jena AG, Jena, Germany), and fluorescence intensities were corrected applying the following equation [21 (link)]: where Icor and Iobs are the corrected and observed fluorescence emission intensities, respectively; while Aex and Aem are the absorption values of 2′R-OTA at 295 and 340 nm, respectively.
Overall and stepwise binding constants were calculated by non-linear fitting using the fluorescence emission data obtained for all the performed experiments (quenching of the fluorescence of HSA by 2′R-OTA, fluorescence enhancement induced by the energy transfer between HSA and 2′R-OTA, and fluorescence enhancement of 2′R-OTA by HSA) with the Hyperquad2006 program package. To calculate the stability constants associated with the complex formation between HSA and 2′R-OTA, the following equations are implemented in the Hyperquad code [18 (link),22 (link)]:
where p and q are the coefficients which indicate the stoichiometry associated with the possible equilibrium in the solution. In the Hyperquad2006 computer fitting program, all equilibrium constants are defined as overall binding constants.
The relationship between the overall binding constants and the stepwise binding constants calculated by the Hyperquad is the following.
The stoichiometry and binding constant of 2′R-OTA-HSA complex were determined by the model associated with the lowest standard deviation.
Fluorescence anisotropy (r) data were determined using the following equation: where IVV and IVH are fluorescence emission intensities measured in vertical position of polarizer at pre-sample site and at vertical and horizontal position of the post-sample polarizer, respectively, while G is the instrumental factor. Considering the additive behavior of anisotropy, the following equation can be described: where ff and fb are the free and HSA-bound fractions of 2′R-OTA in the solution, respectively, while rf and rb are the anisotropies of free and HSA-bound 2′R-OTA, respectively. The free HSA-bound fractions of 2′R-OTA can be described from the rearrangement of Equation (9).
Furthermore, assuming 1:1 stoichiometry of complex formation as well as through the application of Equations (10) and (11), the binding constant (K) can be expressed with the following equation: where [HSA] is the albumin concentration, and θ is the change in quantum yield (Ib and If are the fluorescence emission intensities of HSA-bound and free 2′R-OTA, respectively).