Non-invasive assessment of distribution volume ratios and binding potential: tissue heterogeneity and interindividually averaged time-activity curves

Due to the stochastic nature of radioactive decay, any measurement of radioactivity concentration requires spatial averaging. In pharmacokinetic analysis of time-activity curves (TAC), such averaging over heterogeneous tissues may introduce a systematic error (heterogeneity error) but may also improve the accuracy and precision of parameter estimation. In addition to spatial averaging (inevitable due to limited scanner resolution and intended in ROI analysis), interindividual averaging may theoretically be beneficial, too. The aim of this study was to investigate the effect of such averaging on the binding potential (BP) calculated with Logans non-invasive graphical analysis and the simplified reference tissue method (SRTM) proposed by Lammertsma and Hume, on the basis of simulated and measured positron emission tomography data {¹¹C]d-threo-methylphenidate (dMP) and ¹¹C]raclopride (RAC) PET}. dMP was not quantified with SRTM since the low k ₂ (washout rate constant from the first tissue compartment) introduced a high noise sensitivity. Even for considerably different shapes of TAC (dMP PET in parkinsonian patients and healthy controls, ¹¹C]raclopride in patients with and without haloperidol medication) and a high variance in the rate constants (e.g. simulated standard deviation of K ₁=25%), the BP obtained from average TAC was close to the mean BP (error <5%). However, unfavourably distributed parameters, especially a correlated large variance in two or more parameters, may lead to larger errors. In Monte Carlo simulations, interindividual averaging before quantification reduced the variance from the SRTM (beyond a critical signal to noise ratio) and the bias in Logans method. Interindividual averaging may further increase accuracy when there is an error term in the reference tissue assumption E=DV ₂–DV (DV ₂ = distribution volume of the first tissue compartment, DV = distribution volume of the reference tissue). This can be explained by the fact that the distribution volume ratio (DVR=DV/DV) obtained from averaged TAC is an approximation for DV/DV rather than for DVR/n. We conclude that Logans non-invasive method and SRTM are suitable for heterogeneous tissues and that discussion of group differences in PET studies generally should include qualitative and quantitative assessment of interindividually averaged TAC.