To calculate PS, the Simplified Early Enhancement method of Tofts and Berkowitz was used
3 26 and is briefly described here. This method requires estimates of the vitreous
T 1 in the absence of Gd-DTPA (
T 10), the relaxivity of Gd-DTPA (
R 1, s
−1 mM
−1), and the Gd-DTPA concentration plasma time course parameters.
3 23 26 Vitreous
T 10 was previously reported to be approximately 3.5 seconds. This value was checked in a control rodent using a homogenous excitation and surface coil reception and collecting gradient recalled echo images at different flip angles. As expected for a
T 10 of approximately 3.5 seconds, a maximum vitreous signal intensity was found at a flip angle of 12°–13° (based on the Ernst angle formula, data not shown).
34 Gd-DTPA relaxivity is constant at a set temperature and field strength and so the previously reported value of 4.5 seconds/mM was used.
26 To determine the pharmacokinetic parameters after a bolus of Gd-DTPA in rats, blood samples were obtained in separate experiments in heparinized tubes during the precontrast period, and 1, 3, 7, 15, 30, and 60 minutes postinjection. These samples were centrifuged and the plasma fraction was obtained for NMR analysis. Inversion recovery
T 1 experiments were performed on the water signal of the plasma fraction at room temperature. From the
T 1 value, the amount and thus concentration of Gd-DTPA was determined from a calibration curve obtained at room temperature in a separate phantom study. The unidirectional rate constant,
k, is given by
\[K\ {=}\ \mathrm{E}/R_{1}T_{k}D((a_{1}{[}1\ {-}\ \mathrm{exp}({-}m_{1}t){]}/m_{1})\ {+}\ (a_{2}{[}1\ {-}\ \mathrm{exp}({-}m_{2}t){]}/m_{2}))\]
where
D is the Gd-DTPA dose,
T k =
T R exp(−
T R/
T 10)/(1 − exp(−
T R/
T 10)),
T R is the repetition time,
a 1,2 are the Gd-DTPA plasma amplitudes, and
m 1,2 are the rate constants of each plasma component. Thus,
k can be found from a single measurement of enhancement, provided
R 1,
T k, and the plasma parameters are known. Setting the vitreous volume in the slice
Vv =
A region-of-interest(slice thickness), PS then is:
\[\mathrm{PS}{=}kA_{\mathrm{region-of-interest}}(\mathrm{slice\ thickness}).\]