Liisa Hirvonen edited Results.tex  over 8 years ago

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\section{Results}  The fluorescence lifetime of the Ru(bpy)$_2$(mcbpy-O-Su-ester)(PF$_6$)$_2$ compound increases with viscosity; examples of the measured raw fluorescence time decays are shown in Fig~\ref{fig:decays}. The  anisotropy decay time (i.e.\ the rotational correlation time) also  increases with solvent viscosity for each drug, as expected (Fig~\ref{fig:exampleFits}). A double-exponential fit to the anisotropy decay yields excellent fit results for all data sets; the fits results are consistent and largely independent of starting parameters and fitting range, and the residuals are flat without systematic deviations. Representative fits to three different viscosities for each drug are shown in Fig~\ref{fig:exampleFits}. The longer rotational correlation times corresponding to the drug rotation were plotted against the viscosity, see Fig~\ref{fig:results}. For each drug this yields a straight line whose the gradient depends on the molecular volume. Gradients of 43.28$\pm$0.12~ns/cP for BSA, 51.47$\pm$0.12~ns/cP for Eylea, 21.40$\pm$0.11~ns/cP for Lucentis and 98.09$\pm$0.04~ns/cP for Avastin were obtained by straight line fits according to eq~\ref{eq:SED} to the data sets using the least squares method. Using eq~\ref{eq:R_h}, this yields experimental radius of 3.49$\pm$0.03~nm for BSA, 3.70$\pm$0.03~nm for Eylea, 2.75$\pm$0.04~nm for Lucentis and 4.58$\pm$0.01~nm for Avastin. The theoretical radii of the drugs were also calculated according to eqs~\ref{eq:Erickson}, \ref{eq:Wilkins} and \ref{eq:Dill}. Summary of the calculated and measured hydrodynamic radii is shown in Table~\ref{table:res}.